Course Descriptions
The course descriptions listed below are arranged alphabetically
under the heading of the department or program offering the instruction. Courses
offered jointly by two or more programs are described under each program involved
and cross referenced.
Most graduate study programs include courses offered by departments
other than the student’s major department. Students are urged to consider
the complete list of course offerings in planning their programs of study.
Courses with 500 numbers are intermediatelevel courses that
may be taken by both undergraduate and graduate students. Courses with numbers
between 600 and 699 are introductory graduate courses recommended for beginning
graduate students or nonmajors. Courses with numbers of 700 and above are recommended
for advanced graduate and doctoral students.
All courses are offered subject to adequate enrollment; thus,
any course may be cancelled if enrollment is insufficient.
Unless otherwise indicated, courses meet for three hours of
lecture each week. Each semester course in the School of Engineering and Applied
Science carries separate credit, whether described separately or not. The number
set in brackets following a course title indicates the number of credits granted
for that course. Enrollment in courses for which there are no prerequisites
listed, or for which prerequisites are not met require the instructor’s
permission.
Aerospace Engineering
See Mechanical and Aerospace Engineering.
Applied Mathematics
APMA 507  (3) (SI)
Numerical Methods
Prerequisite: Two years of college mathematics, including
some linear algebra and differential equations, and the ability to write computer
programs.
Introduces techniques used to obtain numerical solutions, emphasizing
error estimation. Areas of application include approximation and integration
of functions, and solution of algebraic and differential equations.
APMA 602  (3) (Y)
Continuum Mechanics with Applications
Prerequisite: Instructor permission.
Introduces continuum
mechanics and mechanics of deformable solids. Vectors and Cartesian tensors,
stress, strain, deformation, equations
of motion, constitutive laws, introduction to elasticity, thermal elasticity,
viscoelasticity, plasticity, and fluids. Crosslisted as AM 602, CE 602, and
MAE 602.
APMA 613  (3) (SI)
Mathematical Foundations of Continuum Mechanics
Prerequisite: Linear Algebra, Vector Calculus, Elementary
PDE (may be taken concurrently).
Describes the mathematical foundations of continuum
mechanics from a unified viewpoint. Review of relevant concepts from linear algebra,
vector
calculus, and Cartesian tensors; kinematics of finite deformations and motions;
finite strain measures; linearization; concept of stress; conservation laws
of mechanics and equations of motion and equilibrium; constitutive theory;
constitutive laws for nonlinear elasticity; generalized Hooke’s law for
a linearly elastic solid; constitutive laws for Newtonian and nonNewtonian fluids;
basic problems
of continuum mechanics as boundaryvalue problems for partial differential
equations. Crosslisted as AM 613.
APMA 615  (3) (SI)
Linear Algebra
Prerequisite: Three years of college mathematics or
instructor permission.
Analyzes systems of linear equations; least squares procedures
for solving over determined systems; finite dimensional vector spaces; linear
transformations and their representation by matrices; determinants; Jordan canonical
form; unitary reduction of symmetric and Hermitian forms; eigenvalues; and invariant
subspaces.
APMA 624  (3) (O)
Nonlinear Dynamics and Waves
Prerequisite: Undergraduate ordinary differential equations
or instructor permission.
Introduces phasespace methods, elementary bifurcation
theory and perturbation theory, and applies them to the study of stability in
the contexts
of nonlinear dynamical systems and nonlinear waves, including free and forces
nonlinear vibrations and wave motions. Examples are drawn from mechanics and
fluid dynamics, and include transitions to periodic oscillations and chaotic
oscillations. Also crosslisted as MAE 624.
APMA 634  (3) (SI)
Numerical Analysis
Prerequisite: Two years of college mathematics, including
some linear algebra, and the ability to write computer
programs.
Topics include the solution of systems of linear and nonlinear
equations, calculations of matrix eigenvalues, least squares problems, and
boundary value problems in ordinary and partial differential equations.
APMA 637  (3) (O)
Singular Perturbation Theory
Prerequisite: Familiarity with complex analysis.
Analyses of regular
perturbations; roots of polynomials; singular perturbations in ODE’s; periodic solutions of simple nonlinear differential
equations; multipleScales method; WKBJ approximation; turningpoint problems;
Langer’s method of uniform approximation; asymptotic behavior of integrals;
Laplace Integrals; stationary phase; and steepest descents. Examples are drawn
from physical systems. Crosslisted as MAE 637.
APMA 641  (3) (Y)
Engineering Mathematics I
Prerequisite: Graduate standing.
Review of ordinary differential equations.
Initial value problems, boundary value problems, and various physical applications.
Linear algebra,
including systems of linear equations, matrices, eigenvalues, eigenvectors,
diagonalization, and various applications. Scalar and vector field theory, including
the divergence theorem, Green’s theorem, Stokes theorem, and various applications.
Partial differential equations that govern physical phenomena in science and
engineering. Solution of partial differential equations by separation of variables,
superposition, Fourier series, variation of parameters, d’ Alembert’s
solution. Eigenfunction expansion techniques for nonhomogeneous initialvalue,
boundaryvalue problems. Particular focus on various physical applications
of
the heat equation, the potential (Laplace) equation, and the wave equation
in rectangular, cylindrical, and spherical coordinates. Crosslisted as MAE
641.
APMA 642  (3) (O)
Engineering Mathematics II
Prerequisite: Graduate standing and APMA 641 or equivalent.
Further
and deeper understanding of partial differential equations that govern physical
phenomena in science and engineering. Solution of linear
partial differential equations by eigenfunction expansion techniques. Green’s
functions for timeindependent and timedependent boundary value problems.
Fourier
transform methods, and Laplace transform methods. Solution of a variety of
initialvalue, boundaryvalue problems. Various physical applications. Study
of complex variable
theory. Functions of a complex variable, and complex integral calculus, Taylor
series, Laurent series, and the residue theorem, and various applications.
Serious
work and efforts in the further development of analytical skills and expertise.
Crosslisted as MAE 642.
APMA 643  (3) (Y)
Statistics for Engineers and Scientists
Prerequisite: Admission to graduate studies.
Analyzes the role of statistics
in science; hypothesis tests of significance; confidence intervals; design of
experiments; regression; correlation
analysis; analysis of variance; and introduction to statistical computing with
statistical software libraries.
APMA 644  (3) (O)
Applied Partial Differential Equations
Prerequisite: APMA 642 or equivalent.
Includes first order partial
differential equations (linear, quasilinear, nonlinear); classification of equations
and characteristics; and
wellposedness of initial and boundary value problems. Crosslisted as MAE
644.
APMA 648  (3) (SI)
Special Topics in Applied Mathematics
Prerequisite: Instructor permission.
Topics vary from year to year
and are selected to fill special needs of graduate students.
APMA 672  (3) (Y)
Computational Fluid Dynamics I
Prerequisite: MAE 631 or instructor permission.
Topics include the
solution of flow and heat transfer problems involving steady and transient convective
and diffusive transport; superposition
and panel methods for inviscid flow; finitedifference methods for elliptic,
parabolic, and hyperbolic partial differential equations; elementary grid generation
for odd geometries; and primitive variable and vorticitysteam function algorithms
for incompressible, multidimensional flows. Extensive use of personal computers/workstations
including graphics. Crosslisted as MAE 672.
APMA 693  (Credit as arranged) (SI)
Independent Study
Detailed study of graduatelevel material on an independent
basis under the guidance of a faculty member.
APMA 695  (Credit as arranged) (Y)
Supervised Project Research
Formal record of student commitment to project research under
the guidance of a faculty advisor. May be repeated as necessary.
APMA 702  (3) (SI)
Applied Partial Differential Equations I
Prerequisite: APMA 642 or equivalent.
Includes first order partial
differential equations (linear, quasilinear, nonlinear); classification of equations
and characteristics; and
wellposedness of initial and boundary value problems.
APMA 708  (3) (SI)
Inelastic Solid Mechanics
Prerequisite: AM 602.
Emphasizes the formulation of a variety of nonlinear
models. Specific topics include nonlinear elasticity, creep, viscoelasticity,
and elastoplasticity.
Solutions to boundary value problems of practical interest are presented in
the context of these various theories in order to illustrate the differences
in stress distributions caused by different types of material nonlinearities.
Crosslisted as AM 708.
APMA 714  (3) (SI)
Nonlinear Elasticity Theory
Prerequisite: AM/APMA 602.
This course describes the theory of finite (nonlinear) elasticity governing large deformations of highly deformable elastic solids. Following a brief review of the relevant continuum mechanics concepts, attention is focused on the important issue of constitutive models for rubberlike and biological soft tissues. Both incompressible and compressible materials are considered. We then proceed to emphasize new features of the theory that do not occur when only linear elasticity is considered. These include instabilities (both material and geometric), normal stress effects, nonuniqueness, bifurcations and stress singularities. A variety of illustrative boundaryvalue problems will be discussed which exhibit some of the foregoing features. Both physical and mathematical implications will be considered. The results are applicable to rubberlike and biological materials and the theory serves as a prototype for more elaborate nonlinear theories of mechanics of continuous media. Cross listed as AM 714
APMA 734  (3) (SI)
Numerical Solution of Partial Differential Equations
Prerequisite: One or more graduate courses in mathematics
or applied mathematics.
Topics include the numerical solution of elliptic equations
by finite element methods; solution of time dependent problems by finite element
and finite difference methods; and stability and convergence results for the
methods presented.
APMA 747, 748  (3) (SI)
Selected Topics in Applied Mathematics
Prerequisite: Instructor permission.
Content varies annually; topics
may include wave propagation theory, shell theory, control theory, or advanced
numerical analysis.
APMA 767  (3) (SI)
Micromechanics of Heterogeneous Media
Prerequisite: APMA 602.
Includes averaging principles; equivalent homogeneity;
effective moduli; bounding principles; selfconsistent schemes; composite spheres;
concentric
cylinders; three phase model; repeating cell models; inelastic and nonlinear
effects; thermal effects; isotropic and anisotropic media; and strength and
fracture. Crosslisted as AM 767, and CE 767.
APMA 772  (3) (Y)
Computational Fluid Dynamics II
Prerequisite: APMA 672 or equivalent.
A continuation of APMA 672. More
advanced methods for grid generation, transformation of governing equations for
odd geometries, methods
for compressible flows, methods for parabolic flows, calculations using vector
and parallel computers. Use of personal computers/workstations/supercomputer
including graphics. Crosslisted as MAE 772.
APMA 792  (Credit as arranged) (SI)
Independent Study
Detailed study of advanced graduatelevel material on an independent
basis under the guidance of a faculty member.
APMA 847, 848  (3) (SI)
Advanced Topics in Applied Mathematics
Prerequisite: Instructor permission.
Course content varies from year
to year and depends on students’ interests and needs. See APMA 747 for possible
topics.
APMA 895  (Credit as arranged) (SSS)
Supervised Project Research
Formal record of student commitment to project research for
Master of Applied Mathematics degree under the guidance of a faculty advisor.
Registration may be repeated as necessary.
APMA 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
APMA 898  (Credit as arranged) (SSS)
Thesis
Formal record of student commitment to master’s thesis
research under the guidance of a faculty advisor. Registration may be repeated
as necessary.
APMA 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
APMA 999  (Credit as arranged) (SSS)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor. May be repeated as necessary.
Applied Mechanics
AM 601  (3) (Y)
Advanced Mechanics of Materials
Prerequisite: Undergraduate mechanics and mathematics.
Reviews basic
stressstrain concepts and constitutive relations. Studies unsymmetrical bending,
shear center, and shear flow. Analyzes of curved
flexural members, torsion, bending, and twisting of thin walled sections. Crosslisted
as CE 601.
AM 602  (3) (Y)
Continuum Mechanics With Applications
Introduces continuum mechanics and mechanics of deformable
solids. Topics include vectors and cartesian tensors, stress, strain, deformation,
equations of motion, constitutive laws, introduction to elasticity, thermal
elasticity, viscoelasticity, plasticity, and fluids. Crosslisted as APMA 602,
CE 602, and MAE 602.
AM 603  (3) (Y)
Computational Solid Mechanics
Analyzes of variational and computational
mechanics of solids, potential energy, complementary energy, virtual work, Reissner’s
principle, Ritz and Galerkin methods; displacement, force and mixed methods of
analysis;
finite element analysis, including shape functions, convergence and integration;
and applications in solid mechanics. Crosslisted as CE 603 and MAE 603.
AM 604  (3) (E)
Plates and Shells
Prerequisite: APMA 641 and AM 601 or 602.
Topics include the classical
analysis of plates and shells; plates of various shapes (rectangular, circular,
skew) and shells of various
shape (cylindrical, conical, spherical, hyperbolic, paraboloid); closedform
numerical and approximate methods of solution governing partial differential
equations; and advanced topics (large deflection theory, thermal stresses,
orthotropic plates). Crosslisted as CE 604 and MAE 604.
AM 606  (3) (Y)
Applied Boundary Element Analysis
Prerequisite: AM 671 or 603.
Analyzes the fundamental concepts of Green’s
functions, integral equations, and potential problems; weighted residual techniques
and
boundary element methods; poisson type problems, including crosssectional
analysis of beams and flow analyses; elastostatics; and other applications.
AM 607  (3) (E)
Theory of Elasticity
Prerequisite: AM 602 or instructor permission.
Review of the concepts
of stress, strain, equilibrium, compatibility; Hooke’s law (isotropic materials); displacement and stress formulations
of elasticity problems; plane stress and strain problems in rectangular coordinates
(Airy’s stress function approach); plane stress and strain problems in
polar coordinates, axisymmetric problems; torsion of prismatic bars (semiinverse
method using real function approach); thermal stress; and energy methods. Crosslisted
as CE 607 and MAE 607.
AM 613  (3) (Y)
Mathematical Foundations of Continuum Mechanics
Prerequisite: Linear algebra, vector calculus, elementary
PDE (may be taken concurrently).
Describes the mathematical foundations of continuum
mechanics from a unified viewpoint. The relevant concepts from linear algebra,
vector
calculus, and Cartesian tensors; the kinematics of finite deformations and
motions leading to the definition of finite strain measures; the process of linearization;
and the concept of stress. Conservation laws of mechanics yield the equations
of motion and equilibrium and description of constitutive theory leading to
the constitute laws for nonlinear elasticity, from which the more familiar
generalized Hooke’s law for linearly elastic solid is derived. Constitutive
laws for a Newtonian and nonNewtonian fluid are also discussed. The basic problems
of
continuum mechanics are formulated as boundary value problems for partial differential
equations. Crosslisted as APMA 613.
AM 620  (3) (Y)
Energy Principles in Mechanics
Prerequisite: Instructor permission.
Analyzes the derivation, interpretation,
and application of the principles of virtual work and complementary virtual work
to engineering
problems; related theorems, such as the principles of the stationary value
of the total potential and complementary energy, Castigliano’s Theorems, theorem
of least work, and unit force and displacement theorems. Introduces generalized,
extended, mixed, and hybrid principles; variational methods of approximation,
Hamilton’s principle, and Lagrange’s equations of motion. Uses variational
theorems to approximate solutions to problems in structural mechanics. Crosslisted
as CE 620 and MAE 620.
AM 621  (3) (Y)
Analytical Dynamics
Prerequisite: Differential equations, undergraduate
dynamics course.
Topics include the kinematics of rigid body motion; Eulerian
angles; Lagrangian equations of motion, inertia tensor; momental ellipsoid;
rigid body equations of motion, Euler’s equation, forcefree motion; polhode
and herpolhode; theory of tops and gyroscopes; variational principles; Hamiltonian
equations of motion, Poinsote representation. Crosslisted as MAE 621.
AM 622  (3) (O)
Waves
Prerequisite: MAE/AM 602 Continuum Mechanics and Applications,
or equivalent.
The topics covered are: plane waves; d’Alembert solution;
method of characteristics; dispersive systems; wavepackets; group velocity;
fullydispersed waves; Laplace, Stokes, and steepest descents integrals; membranes,
plates and planestress waves; evanescent waves; Kirchhoff’s solution;
Fresnel’s principle; elementary diffraction; reflection and transmission
at interfaces; waveguides and ducted waves; waves in elastic halfspaces; P,
S, and Rayleigh waves; layered media and Love waves; slowlyvarying media and
WKBJ method; Timedependent response using FourierLaplace transforms; some
nonlinear water waves. Also crosslisted as MAE 622.
AM 623  (3) (SI)
Vibrations
Prerequisite: Instructor permission.
Topics include free and forced
vibrations of undamped and damped singledegreeoffreedom systems and undamped
multidegreeoffreedom systems;
use of Lagrange’s equations; Laplace transform, matrix formulation, and
other solution methods; normal mode theory; introduction to vibration of continuous
systems. Crosslisted as CE 623 and MAE 623.
AM 628  (3) (SI)
Motion Biomechanics
Prerequisite: BIOM 603 or instructor permission.
Focuses on the study
of forces (and their effects) which act on the musculoskeletal structures of
the human body. Based on the foundations
of functional anatomy and engineering mechanics (rigid body and deformable
approaches); students are exposed to clinical problems in orthopedics and rehabilitation.
Crosslisted as BIOM 628.
AM 631  (3) (Y)
Fluid Mechanics I
Prerequisite: Instructor permission.
Analyzes of hydrostatics, including
surface tension; kinematics; noninertial reference frames; rigorous formulation
of conservation equations
for mass, momentum, and energy; Euler and Bernoulli equations; vorticity dynamics;
twodimensional potential flow theory, complex potentials; applications to airfoils;
the NavierStokes equations: selected exact and approximate solutions. Crosslisted
as MAE 631.
AM 632  (3) (Y)
Fluid Mechanics II
Prerequisite: AM 631.
Topics include the laminar boundary layer equations,
differential and integral; elementary similar and integral solutions; introduction
to and
modeling of turbulent flows; surface waves; quasionedimensional compressible,
perfect gas dynamic analysis; practical applications. Cross listed as MAE 632.
AM 665  (3) (Y)
Mechanics of Composite Materials
Prerequisite: ECE 206 and APMA 213.
Analyzes the properties and mechanics
of fibrous, laminated composites; 2D and 3D anisotropic constitutive equations;
classical lamination
theory; thermal stresses; material response and test methods; edge effects;
design considerations; and computerized implementation. Crosslisted as CE 665.
AM 666  (3) (Y)
Stress Analysis of Composites
Prerequisite: AM 665.
Analyzes 3D anisotropic constitutive theory,
interlaminar stresses, failure criteria, micromechanics, cylindrical bending,
laminated tubes,
laminated plates, damage mechanics, and hygrothermal effects. Crosslisted
as CE 666.
AM 671  (3) (Y)
FiniteElement Analysis
Prerequisite: Instructor permission.
Introduces finite element methods
for solving problems in heat transfer, fluid mechanics, solid mechanics, and
electrical fields. Emphasizes
the basics of one, two, and threedimensional elements; applications to bars,
electrical networks, trusses, conduction and convection heat transfer, ideal
and viscous flow, electrical current flow, plane stress, plane strain, and
elasticity; development of computer codes to implement finite element techniques.
Crosslisted
as MAE 671.
AM 675  (3) (SI)
Theory of Structural Stability
Prerequisite: Instructor permission.
Introduces the elastic stability
of structural and mechanical systems. Topics include classical stability theory
and buckling of beams, trusses,
frames, arches, rings and thin plates and shells; derivation of design formulas;
computational formulation and implementation. Crosslisted as CE 675.
AM 691, 692  (3) (IR)
Special Problems in Applied Mechanics
Detailed study of special topics in mechanics.
AM 693  (Credit as arranged) (Y)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
AM 695  (Credit as arranged) (Y)
Supervised Project Research
Formal record of student commitment to project research under
guidance of a faculty advisor. Registration may be repeated if necessary.
AM 703  (3) (Y)
Thermal Structures
Prerequisite: AM 602 or instructor permission; corequisite:
AM 607.
Topics include the fundamentals of thermal structural analysis;
mechanical and thermodynamic foundations; formulation of heat transfer and
thermalstructural problems; heat transfer in structures; thermal stresses
in rods, beams, and
plates; thermally induced vibrations; thermoelastic stability; and computational
methods.
AM 704  (3) (SI)
Theory of Shells
Prerequisite: AM 602 and 604.
Introduces the nonlinear, thermoelastic
theory of shells. Governing equations are derived by a mixed approach in which
those equations of threedimensional
continuum mechanics that are independent of material properties are used to
derive the corresponding shell equations, whereas the constitutive equations
of shell theory which, unavoidably, depend on experiments, are postulated.
Emphasizes efficient, alternative formulations of initial/boundary value problems,
suitable
for asymptotic or numerical solution, and discusses variational principles.
Some comparisons made with exact, threedimensional solutions.
AM 708  (3) (SI)
Inelastic Solid Mechanics
Prerequisite: AM 602.
Emphasizes the formulation of a variety of nonlinear
models. Specific topics include nonlinear elasticity, creep, viscoelasticity,
and elastoplasticity.
Solutions to boundary value problems of practical interest are presented in
the context of these various theories in order to illustrate the differences
in stress distributions caused by different types of material nonlinearities.
Crosslisted as APMA 708.
AM 712  (3) (SI)
Advanced Theory of Elasticity
Prerequisite: AM 602 or instructor permission and AM
607.
Topics include generalized Hooke’s law, strainenergy
density, uniqueness; classes of boundary value problems (Navier’s and
BeltramiMitchell equations); torsion (Dirlichlet and Neumann problems); flexure;
complex variable
formulation of torsional (Dirlichlet and Neumann problems) and twodimensional
problems; general solution methodologies based on complex variable techniques
and elements of potential theory for torsional and twodimensional problems;
threedimensional problems; wave propagation; and energy methods.
AM 714  (3) (SI)
Nonlinear Elasticity Theory
Prerequisite: AM 602.
Describes the theory of finite (nonlinear) elasticity
governing large deformations of highly deformable elastic solids. New features
not present
in the linear theory are emphasized. These include instabilities (both material
and geometric), normal stress effects, nonuniqueness, bifurcations and stress
singularities. A variety of illustrative boundary value problems will be discussed
which exhibit some of the foregoing features. Both physical and mathematical
implications considered. The results are applicable to rubberlike and biological
materials and the theory serves as a prototype for more elaborate nonlinear
theories of mechanics of continuous media. Crosslisted as APMA 714.
AM 725  (3) (SI)
Random Vibrations
Prerequisite: Background in probability theory and vibration
analysis.
Topics include a review of probability theory; stochastic processes,
with an emphasis on continuous, continuously parametered processes; mean square
calculus, Markov processes, diffusion equations, Gaussian processes, and Poisson
processes; response of SDOF, MDOF, and continuous linear and nonlinear models
to random excitation; upcrossings, first passage problems, fatigue and stability
the considerations; Monte Carlo simulation, analysis of digital time series
data, and filtered excitation models. Crosslisted as CE 725.
AM 729  (3) (IR)
Selected Topics in Applied Mechanics
Prerequisite: instructor permission.
Subject matter varies from year
to year depending on students’ interest and needs. Typical topics may include
geophysics, astrodynamics, water waves, or nonlinear methods.
AM 732  (3) (Y)
Fracture Mechanics of Engineering Materials
Prerequisite: MSE 731 or instructor permission.
Develops the tools
necessary for fatigue and fracture control in structural materials. Continuum
fracture mechanics principles are presented.
Fracture modes are discussed from the interdisciplinary perspectives of continuum
mechanics and microscopic plastic deformation/fracture mechanisms. Cleavage,
ductile fracture, fatigue, and environmental cracking are included, with emphasis
on micromechanical modeling. Crosslisted as MSE 732.
AM 767  (3) (SI)
Micromechanics of Heterogeneous Media
Prerequisite: AM 602.
Analyzes averaging principles, equivalent homogeneity,
effective moduli, bounding principles, selfconsistent schemes, composite spheres,
concentric
cylinders, three phase model, repeating cell models, inelastic and nonlinear
effects, thermal effects, isotropic and anisotropic media, strength and fracture.
Crosslisted as APMA 767 and CE 767.
AM 793  (Credit as arranged) (Y)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
AM 822  (3) (SI)
Biomechanics
Prerequisite: Instructor permission.
Topics include the rheological
properties of biological tissues and fluids, with emphasis on methods of measurement
and data organization; basic
principles of continuum mechanics and their application to mechanical problems
of the heart, lung, and peripheral circulation; criteria for selecting either
lumped or continuous models to simulate mechanical interaction of biological
systems (and mechanical prostheses) and application of such models under static
and dynamic loading conditions. Crosslisted as BIOM 822.
AM 895  (Credit as arranged) (Y)
Supervised Project Research
Formal record of student commitment to project research for
Master of Engineering degree under the guidance of a faculty advisor. May be
repeated as necessary.
AM 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
AM 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
Biomedical Engineering
BIOM 601  (3) (Y)
Engineering Physiology
BIOM 603  (3) (Y)
Physiology I
Prerequisite: Instructor permission. Suggested preparation:
physics, chemistry, cell biology, and calculus.
The integration of biological
subsystems into a coherent, functional organism is presented, in a course designed
for students with either an engineering
or life science background. Topics covered include major aspects of mammalian
physiology, with an emphasis on mechanisms. The structure and function of each
system is treated, as well as the interrelations and integration of their hormonal
and neural control mechanisms. Studies how excitable tissue, nerves, and muscle,
and the cardiovascular and respiratory systems work.
BIOM 604  (3) (Y)
Physiology and Pathophysiology
Prerequisite: BIOM 603 or instructor permission.
This course will emphasize
a fundamental understanding of physiology with a focus on mechanisms, and continues
the coverage of major systems from
BIOM 603. Studies the renal, gastrointestinal, endocrine, and central nervous
systems. Integration of function from molecule to cell to organ to body. Includes
some functional anatomy. Quantitative understanding of problems like salt and
water balance through class work and homework sets. Five lectures on specific
diseases and their pathophysiology.
BIOM 610  (4) (Y)
Instrumentation and Measurement in Medicine I
Prerequisite: Instructor permission. Suggested preparation:
physics and mathematics through differential equations.
Presentation of the
fundamental circuit concepts and signal and system analysis methods used in the
design and analysis of medical instrumentation.
Circuit concepts include passive electronic circuits, operational amplifier
circuits, circuit solution methods, and filter design methods. Special emphasis
is placed on circuits commonly employed in medical devices, such as, differential
amplifiers and filtering networks used in electrocardiograph systems. Signal
and system analysis topics include linear system definitions, convolution,
Fourier transforms, and Laplace transforms. Students perform a project using
the signal
and systems analysis methods to model and analyze biomedical problems. A laboratory,
equivalent to one of the four course credits, provides experience in electronic
circuit construction and testing, and numerical modeling and analysis of signals
and systems.
BIOM 611  (4) (Y)
Instrumentation and Measurement in Medicine II
Prerequisite: Instructor permission, and EE 203 or MAE
202.
Preparation: Mathematics through differential equations. Undergraduate
Physics, Chemistry, Electronic Circuit Analysis. Review of basic sensor classes
(resistive, piezoelectric, etc.). Principles of measurement of various biomedical
parameters and effects that limit accuracy. Interfacing and loading issues.
Discussion of electronic circuits for preamplification and signal conditioning.
Noise, signal averaging, A/D conversion and sampling effects. Origin and measurement
of biopotentials. Bioinstrumentation techniques used for various physiological
signal monitoring methods (blood flow, ECG, respiratory, etc.). Discussion of
magnetic resonance and ultrasound imaging principles and basic image quality
metrics. Laboratory experiments involve construction and characterization of
simple transducers and signal conditioning equipment for measuring such biomedical
parameters as force, displacement, pressure, flow and biopotentials.
BIOM 628  (3) (Y)
Motion Biomechanics
Prerequisite: BIOM 603.
Focuses on the study of forces (and their effects)
that act on the musculoskeletal structures of the human body. Based on the foundations
of functional anatomy and engineering mechanics (rigid body and deformable approaches);
students are exposed to clinical problems in orthopedics and rehabilitation.
Crosslisted as AM628.
BIOM 695  (3) (Y)
Special Topics in Biomedical Engineering
BIOM 701  (3) (E)
Fundamentals of Biophysical Sciences
Prerequisite: Undergraduate fluid mechanics or transport
phenomena.
The major focus of the course is an analysis of the fundamental
transport properties relevant to biologic systems: diffusion, momentum and
mass transport, hydrodynamics of macromolecules and cells, suspension stability
(colloidal)
and rheology of concentrated suspensions, and flow through permeable and semipermeable
media. Transport models will be developed to analyze processes such as blood
coagulation, biomolecular transport in tissue, hemodialysis, proteinsurface
interactions, and forces underlying physical organization of cell membranes,
which will then be extended to appropriate design problems relevant to the
biomedical engineering industry.
BIOM 702  (3) (Y)
Fundamentals of Biophysical Sciences
Prerequisite: BIOM 603, graduate mechanics.
Review basics of mechanics
and their application to problems in circulatory transport. Indicator dilution
methods to quantify blood flows,
blood volume and mass transport in the circulation are examined. Imaging methods
to assess regional perfusion and the hemodynamic abnormalities of tumor circulation
are presented.
BIOM 703, 704  (0) (S)
Biomedical Engineering Seminar
A seminar course in which selected topics in biomedical engineering
are presented by students, faculty and guest investigators.
BIOM 706  (3) (SI)
Biomedical Applications of Genetic Engineering
Prerequisite: BIOM 603, undergraduatelevel cell and/or
molecular biology course. (e.g., BIOM 304) or instructor permission. Suggested
preparation: biochemistry, cell biology, genetics, and physiology.
Provides biomedical
engineers with a grounding in molecular
biology and a working knowledge of recombinant DNA technology, thus establishing
a basis for the evaluation and application of genetic engineering in whole animal
systems. Beginning with the basic principles of genetics, this course examines
the use of molecular methods to study gene expression and its critical role
in health and disease. Topics include DNA replication, transcription, translation,
recombinant DNA methodology, methods for analyzing gene expression (including
microarray and genechip analysis), methods for creating geneticallyengineered
mice, and methods for accomplishing gene therapy by direct in vivo gene transfer.
BIOM 731  (4) (Y)
Quantitative Techniques in Biomedical Engineering I
Prerequisite: APMA 641 or equivalent.
A study of mathematical techniques
useful in biomedical engineering. Topics cover linear and nonlinear ordinary
differential equations, partial differential
equations, vector analysis, matrices, and optimization. Applications include
diffusion in biological tissues, biochemical kinetics, and optimization of physiological
systems.
BIOM 741  (3) (SI)
Bioelectricity
Prerequisite: Instructor permission.
Comprehensive overview of the
biophysical mechanisms governing production and transmission of bioelectric signals
in living systems, biopotential
measurement and analysis techniques in clinical electrophysiology (ECG, EEG,
and EMG), and the principles of operations for therapeutic medical devices that
aid bioelectrical function of the cardiac and nervous systems. Lectures are
supplemented by a computer project simulating the action potential generation,
review of papers published in professional journals, and field trips to clinical
laboratories at the University of Virginia Hospital.
BIOM 783  (3) (SI)
Medical Image Modalities
Corequisite: BIOM 610 or instructor permission.
Studies engineering
and physical principles underlying the major imaging modalities such as Xray,
ultrasound CT, MRI, and PET. A comprehensive
overview of modern medical imaging modalities with regard to the physical basis
of image acquisition and methods of image reconstruction. Students learn about
the tradeoffs, which have been made in current implementations of these modalities.
Considers both primarily structural modalities (magneticresonance imaging,
electricalimpedance tomography, ultrasound, and computer tomography) and primarily
functional modalities (nuclear medicine, singlephotonemission computed tomography,
positronemission tomography, magneticresonance spectroscopy, and magneticsource
imaging).
BIOM 784  (3) (SI)
Medical Image Analysis
Prerequisite: BIOM 610 and ECE 682/CS 682, or instructor
permission.
Comprehensive overview of medical image analysis and visualization.
Focuses on the processing and analysis of these images for the purpose of quantitation
and visualization to increase the usefulness of modern medical image data. Topics
covered involve image formation and perception, enhancement and artifact reduction,
tissue and structure segmentation, classification and 3D visualization techniques
as well as pictures archiving, communication and storage systems. Involves "handson" experience
with homework programming assignments.
BIOM 822  (3) (SI)
Advanced Biomechanics
Prerequisite: BIOM 603 and MAE 602, or instructor permission.
The course
is to provide a comprehensive coverage of the mechanical properties of living
tissues and fluids. The formulation of their mechanical
and rheological properties for quantitative analysis of biological deformation
and fluid flow in vivo and the implications of the active and passive mechanical
properties to biological problems are emphasized.
BIOM 823  (3) (SI)
Cell Mechanics, Adhesion, and Locomotion
Prerequisite: BIOM 822 or instructor permission.
Biomechanics and structural
biology of cell structure and function, focusing on quantitative description
and measurements of cell deformability,
adhesion, and locomotion. Cell deformability: erythrocyte properties, membrane
mechanics, shear, bending, and area elasticity. Leukocyte structure and deformability.
Structural basis of plasma membrane, lipid bilayer, surface structures, nucleus,
organelles, cell junctions, cytoskeleton, membrane transport, active cytoskeletal
functions, specific and nonspecific forces between molecules, protein structure,
molecular graphics. Cell adhesion molecules: families of adhesion molecules,
cellcell and cellmatrix binding, biochemical characteristics, regulation
of expression, regulation of binding avidity, functional role. Cell adhesion
assays:
detachment assays, aggregation of leukocytes and platelets, controlled shear
systems, flow chambers. Mechanics of cell adhesion: equilibrium analysis of
cell adhesion, models of cell rolling, adhesion bond mechanics. Liposomes,
microbubbles, and applications to targeted adhesion. Cell motility: measurement
of active
forces and motility in cells, molecular motors. Effects of mechanical stress
and strain on cell function.
BIOM 891  (3) (SI)
Diagnostic Ultrasound Imaging
Prerequisite: instructor permission, BIOM 610 and BIOM
611. Preparation: Undergraduate Physics, Electronic circuit analysis, Differential
Equations, Fourier and Laplace Transforms, Sampling Theorems.
Underlying principles
of array based ultrasound imaging. Physics
and modeling techniques used in ultrasound transducers. Brief review of ID
circuit transducer models. Use of Finite Element techniques in transducer design.
Design
considerations for 1.5D and 2D arrays will be reviewed. Diffraction and beamforming
will be introduced starting from Huygen’s principle. FIELD propagation
model will form an important part of the class. In depth discussion of various
beamforming and imaging issues such as sidelobes, apodization, grating lobes,
resolution, contrast, etc. The course addresses attenuation, timegaincompensation
and refraction. Finally, speckle statistics and KSpace techniques will be introduced.
Laboratories will involve measuring ultrasound image metrics, examining the
effect of various beamforming parameters and simulating these on a computer
using Matlab.
BIOM 892  (3) (SI)
Biomolecular Engineering
Using a problembased approach, a number of current bioengineering
technologies applicable to tissue engineering, wound healing, drug delivery,
and gene delivery are examined. Special topics include microfluidics and low
Reynolds number hydrodynamics, molecular mechanics related to cell and microparticle
sorting, and micropatterning surfaces for cell and tissue engineering.
BIOM 895  (3) (SI)
Research: Biomedical Engineering Entrepreneurship
Prerequisite: Instructor permission.
The goal of this course is to
give students insight into and experience in utilizing the opportunities available
to biomedical engineers
as they become successful entrepreneurs. The lectures will cover topics including
Small Business Innovative Research (SBIR) grants, business plans for the development
of medical devices, and patent and 510 k applications. Students will form teams
of five and draft an SBIR grant and a business plan for a pacemaker, cardiac
defibrillator, vascular stent, hemodialysis machine, tissue replacement, or
a medical device of students’ own interests.
BIOM 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
BIOM 898  (Credit as arranged) (S)
Master’s Research
BIOM 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
BIOM 999  (Credit as arranged) (SSS)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor. May be repeated as necessary.
Chemical Engineering
CHE 615  (3) (Y)
Advanced Thermodynamics
Prerequisite: Undergraduatelevel thermodynamics or
instructor permission.
Development of the thermodynamic laws and derived relations.
Application of relations to properties of pure and multicomponent systems at
equilibrium in the gaseous, liquid, and solidphases. Prediction and calculation
of phase and reaction equilibria in practical systems.
CHE 618  (3) (Y)
Chemical Reaction Engineering
Prerequisite: CHE 625 and 665.
Fundamentals of chemical reaction kinetics
and mechanisms; experimental methods of determining reaction rates; introduction
to heterogeneous
catalysis; application of chemical kinetics, along with masstransfer theory,
fluid mechanics, and thermodynamics, to the design and operation of chemical
reactors.
CHE 625  (3) (Y)
Transport Processes
Prerequisite: Undergraduate transport processes; corequisite:
CHE 665.
Integrated introduction to fluid mechanics, heat transfer,
and mass transfer. Development of the basic equations of change for transport
of momentum, energy, and mass in continuous media. Applications with exact
solutions,
consistent approaches to limiting cases and approximate solutions to formulate
the relations to be solved in more complicated problems.
CHE 630  (3) (Y)
Mass Transfer
Prerequisite: CHE 625 and 665.
Fundamental principles common to mass
transfer phenomena, with emphasis on mass transfer in diverse chemical engineering
situations. Detailed
consideration of fluxes, diffusion with and without convection, interphase
mass transfer with chemical reaction, and applications.
CHE 635  (3) (Y)
Process Control and Dynamics
Prerequisite: Instructor permission.
Introduction to dynamics and control
of process systems, controllers, sensors, and final control elements. Development
and application of time and
frequencydomain characterizations of subsystems for stability analyses of
closed control loops. Statespace models, principles of sampleddata analysis
and digital
control techniques. Elementary systems identification with emphasis on dead
time, distributed parameters, and nonlinearities.
CHE 642  (3) (Y)
Applied Surface Chemistry
Prerequisite: Instructor permission.
Factors underlying interfacial
phenomena, with emphasis on thermodynamics of surfaces, structural aspects, and
electrical phenomena; applications
such as emulsification, foaming, detergency, sedimentation, flow through porous
media, fluidization, nucleation, wetting, adhesion, flotation, electrocapillarity.
CHE 647 (3) (Y)
Biochemical Engineering
Prerequisite: Instructor permission.
Introduction to properties, production, and use of biological molecules of importance to medicine and industry, such as proteins, enzymes, and antibiotics. Topics may include fermentation and cell culture processes, biological mass transfer, enzyme engineering, and implications of recent advances in molecular biology, genomics, and proteomics.
CHE 648  (3) (Y)
Bioseparations Engineering
Prerequisite: Instructor permission.
Principles of bioseparations engineering
including specialized unit operations not normally covered in regular chemical
engineering courses.
Processing operations downstream of the initial manufacture of biotechnology
products, including product recovery, separations, purification, and ancillary
operations such as sterile processing, cleanin place and regulatory aspects.
Bioprocess integration and design aspects.
CHE 649  (3) (Y)
Polymer Chemistry and Engineering
Prerequisite: CHE 321 or instructor permission.
Analyzes the mechanisms
and kinetics of various polymerization reactions; relations between the molecular
structure and polymer properties,
and how these properties can be influenced by the polymerization process; fundamental
concepts of polymer solution and melt rheology. Applications to polymer processing
operations, such as extrusion, molding, and fiber spinning. Three lecture hours.
CHE 665  (3) (Y)
Techniques for Chemical Engineering Analysis and Design
Prerequisite: Undergraduate differential equations,
transport processes, and chemical reaction engineering.
Methods for analysis
of steady state and transient chemical engineering problems arising in fluid
mechanics, heat transfer, mass transfer,
kinetics, and reactor design.
CHE 674  (4) (Y)
Process Design and Economics
Prerequisite: Instructor permission.
Factors that determine the genesis
and evolution of a process. Principles of marketing and technical economics and
modern process design principles
and techniques, including computer simulation with optimization.
CHE 716  (3) (SI)
Applied Statistical Mechanics
Prerequisite: CHE 615, or other graduatelevel thermodynamics
course, and instructor permission.
Introduction to statistical mechanics and
its methodologies such as integral equations, computer simulation and perturbation
theory. Applications
such as phase equilibria, adsorption, transport properties, electrolyte solutions.
CHE 744  (3) (SI)
Electrochemical Engineering
Prerequisite: Graduatelevel transport phenomena (e.g.,
CHE 625) and graduatelevel mathematical techniques (e.g., CHE 665), or instructor
permission.
Electrochemical phenomena and processes from a chemical engineering
viewpoint. Application of thermodynamics, electrode kinetics, interfacial phenomena,
and transport processes to electrochemical systems such as batteries, rotating
disk electrodes, corrosion of metals, and semiconductors. Influence of coupled
kinetics, interfacial, and transport phenomena on current distribution and mass
transfer in a variety of electrochemical systems.
CHE 793  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
CHE 795  (Credit as arranged) (S)
Supervised Project Research
Formal record of student commitment to project research for
Master of Engineering degree under the guidance of a faculty advisor. May be
repeated as necessary.
CHE 796  (1) (S)
Graduate Seminar
Weekly meetings of graduate students and faculty for presentations
and discussion of research in academic and industrial organizations. May be
repeated.
CHE 819  (3) (SI)
Advanced Chemical Engineering Kinetics and Reaction Engineering
Prerequisite: CHE 618 or instructor permission.
Advanced study of reacting
systems, such as experimental methods, heterogeneous catalysis, polymerization
kinetics, kinetics of complex reactions,
reactor stability, and optimization.
CHE 820  (3) (SI)
Modeling of Biological Processes in Environmental Systems
Prerequisite: Instructor permission.
Use of mathematical models to
describe processes such as biological treatment of chemical waste, including
contaminant degradation and bacterial
growth, contaminant and bacterial transport, and adsorption. Engineering analyses
of treatment processes such as biofilm reactors, sequenced batch reactors, biofilters
and in situ bioremediation. May include introduction to hydrogeology, microbiology,
transport phenomena and reaction kinetics relevant to environmental systems;
application of material and energy balances in the analysis of environmental
systems; and dimensional analysis and scaling. Guest lectures by experts from
industry, consulting firms and government agencies to discuss applications of
these bioremediation technologies.
CHE 833  (3) (SI)
Specialized Separation Processes
Prerequisite: Instructor permission.
Less conventional separation processes,
such as chromatography, ionexchange, membranes, and crystallization using indepth
and modern chemical
engineering methods. Student creativity and participation through development
and presentation of individual course projects.
CHE 881, 882  (3) (SI)
Special Topics in Chemical Engineering
Prerequisite: Permission of the staff.
Special subjects at an advanced
level under the direction of staff members.
CHE 893  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
CHE 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
CHE 898  (Credit as arranged) (S)
Master’s Research
Formal record of student commitment to master’s
thesis research under the guidance of a faculty advisor. Registration may be
repeated
as necessary.
CHE 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
CHE 999  (Credit as arranged) (S)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor. Registration may be repeated as necessary.
Civil Engineering
CE 601  (3) (Y)
Advanced Mechanics of Materials
Prerequisite: Undergraduate mechanics and mathematics.
Reviews basic
stressstrain concepts; constitutive relations. Studies unsymmetrical bending,
shear center, and shear flow. Analyzes curved
flexural members, beams on elastic foundation, torsion, bending, and twisting
of thin walled sections. Crosslisted as AM 601.
CE 602  (3) (Y)
Continuum Mechanics with Applications
Prerequisite: Instructor permission.
Introduces continuum mechanics
and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain,
deformation, equations
of motion, constitutive laws, introduction to elasticity, thermal elasticity,
viscoelasticity, plasticity, and fluids. Crosslisted as APMA 602, AM 602, MAE
602.
CE 603  (3) (Y)
Computational Solid Mechanics
Corequisite: CE 602.
Analyzes the variational and computational mechanics
of solids, potential energy, complementary energy, virtual work, Reissner’s
principle, Ritz and Galerkin methods; displacement, force and mixed methods of
analysis;
finite element analysis, including shape functions, convergence and integration;
and applications in solid mechanics. Crosslisted as AM 603, MAE 603.
CE 604  (3) (E)
Plates and Shells
Prerequisite: APMA 641 and CE 601 or 602.
Includes the classical analysis
of plates and shells of various shapes; closedform numerical and approximate
methods of solution of governing
partial differential equations; and advanced topics (large deflection theory,
thermal stresses, orthotropic plates). Crosslisted as AM 604, MAE 604.
CE 607  (3) (SI)
Theory of Elasticity
Prerequisite: AM/CE/MAE 602 or instructor permission.
Review of the
concepts of stress, strain, equilibrium, compatibility; Hooke’s law (isotropic materials); displacement and stress formulations
of elasticity problems; plane stress and strain problems in rectangular coordinates
(Airy’s stress function approach); plane stress and strain problems in
polar coordinates, axisymmetric problems; torsion of prismatic bars (semiinverse
method using real function approach); thermal stress; and energy methods. Crosslisted
as AM 607 and MAE 607.
CE 610  (3) (Y)
Concrete Materials
Prerequisite: Graduate standing or instructor permission.
This course will cover basic properties of hydraulic cements and mineral aggregates and their interactions in concrete as well as properties of plastic and hardened concrete. Modifications through admixtures; concrete test methods and behavior under various loads and durability of concrete as well as performance of concrete will also be covered. Production, handling, and placement problems; lightweight, heavyweight, and other special concretes topics will be discussed.
CE 611  (3) (Y)
Asphalt Materials
Prerequisite: Graduate standing or instructor permission.
This course will cover the major types of bituminous materialsasphalt cements, cutback asphalts, asphalt emulsions, and tars. Influence of chemical composition upon physical properties; desirable aggregate characteristics for bituminous mixtures; asphalt mixtures and construction techniques are also covered. Furthermore, characteristics of constitutive materials, mix design methodology (including current practices for determining optimum asphalt contents), test methods, behavior under various loads, durability, and performance will be discussed.
CE 613  (3) (Y)
Infrastructure Management
Prerequisite: Graduate standing or instructor permission.
Studies the tools required to formulate a prioritization procedure that leads to a realistic and rational way of establishing candidate projects for priority programming at both the network and project level infrastructuremanagement systems. Topics include methods for obtaining distress measurements and pavement condition ratings for flexible and rigid pavements; prioritizing procedures for establishing priority listings for rehabilitation and maintenance activities.
CE 614  (3) (Y)
Pavement Analysis and Design
Prerequisite: Graduate standing or instructor permission.
This course covers historical developments of pavement structures and different types of pavements. Additionally, it will cover basic stresses, strains and deflections in rigid and flexible pavements, traffic loading, and material characterization. Drainage design, Pavement performance and reliability concepts will be discussed. Current design methodologies (i.e. Empirical design methodologies) for both rigid and flexible pavements and design of overlays will be covered, discussed and practiced. This course will discuss the influence of climatic and traffic loading on pavement performance and lifecycle cost analysis concepts.
CE 615  (3) (Y)
Advanced Geotechnical Engineering
Prerequisite: CE 316.
This course will cover the engineering properties of typical soils and aggregates found in Virginia. Various soil classification systems used in the United States; the effects of loading on the performance of soils and the effects of compaction and moisture on the engineering properties of soils will also be covered. Various stabilization techniques that may be used to transform weak soils such that they can be used for road construction applications will be also discussed.
CE 616  (3) (Y)
Advanced Foundations
Prerequisite: CE 316 and 326.
Topics include subsurface investigation,
control of groundwater, analysis of sheeting and bracing systems, shallow foundations,
pile foundations,
retaining walls, bridge abutments, caissons and cofferdams.
CE 617  (3) (Y)
Advanced Geometric Design
Prerequisite: CE 344
This course will cover advanced topics in geometric design of highways. Topics covered will include: highway functions and classification; characteristics; design control and criteria; and cross section elements. Other material to be covered includes: local collectors, rural and urban arterials, freeways, at grade intersections, grade separations, and interchanges. The topics covered will parallel the AASHTO geometric design book, "The Green Book."
CE 620  (3) (Y)
Energy Principles in Mechanics
Prerequisite: Instructor permission.
Derivation, interpretation, and
application to engineering problems of the principles of virtual work and complementary
virtual work. Related
theorems such as the principles of the stationary value of the total potential
and complementary energy, Castigiliano’s Theorems, theorem of least work,
and unit force and displacement theorems. Introduction to generalized, extended,
mixed, and hybrid principles. Variational methods of approximation, Hamilton’s
principle, and Lagrange’s equations of motion. Approximate solutions to
problems in structural mechanics by use of variational theorems. Crosslisted
as AM 620, MAE 620.
CE 623  (3) (Y)
Vibrations
Prerequisite: Instructor permission.
Topics include free and forced
vibration of undamped and damped singledegreeoffreedom systems and undamped
multidegreeoffreedom systems;
use of Lagrange’s equations, Laplace transform, matrix formulation, and
other solution methods; normal mode theory; introduction to vibration of continuous
systems. Cross listed as AM 623, MAE 623.
CE 631  (3) (E)
Intelligent Transportation Systems
Prerequisite: Graduate standing or instructor permission.
Intelligent transportation systems (ITS) can best be defined as the application of information technology to the surface transportation system. This technology, which includes communications, sensors, and computer hardware and software, supports both travelers and transportation providers in making effective decisions. This course provides an introduction to the concepts of intelligent transportation systems (ITS) ), explores the technology that serves as the foundation for ITS, and includes casestudies to allow students to explore ITS analysis and design.
CE 632  (3) (Y)
Introduction to Integrated Transportation Systems Models
Prerequisite: Graduate standing or instructor permission.
The purpose of this course is to introduce students to core models that support transportation engineering. In addition, the course provides a background on fundamental mathematical and heuristic search methods, optimization theories, stochastic optimizations and graph theory that underpin the transportation models. At the completion of this course, students will be able to (1) apply mathematical search and optimization techniques and graph theory for transportation system control and management problems and (2) understand the importance of stochastic optimization and its applications.
CE 633  (3) (Y)
Introduction to Transportation Planning
Prerequisite: Graduate standing or instructor permission.
Introduces
the legal requirements, framework, and principles of urban and statewide planning.
Focuses on describing and applying the methodology
of the forecasting system of the transportation planning process, including
inventory (data collection and information systems), forecasts of population
and economic activity, network analysis, and travel demand analysis. Also introduces
computerized models for transportation planning.
CE 634  (3) (Y)
Graduate standing or instructor permission.
Prerequisite: Graduate standing.
Introduces fundamentals of spatial analysis through reading, lecture, discussion, research, and handson experience gained through laboratory work using the ArcGIS package. The primary objective of this course is to investigate the GIS application process.
CE 635  (3) (Y)
Intermodal Transportation
Prerequisite: Graduate standing or instructor permission.
Studies the structure of domestic freight and
passenger transportation in the United States. Focuses on the integration of
modes, economic impacts,
national transportation policy and advanced technology. Case studies of contemporary
examples of intermodal integration are explored.
CE 636  (3) (Y)
Traffic Operations
Prerequisite: Graduate standing or instructor permission.
Covers the
methods for evaluating the impact on the quality of traffic operations due to
the interaction of the three main components of
the highway mode: the driver, the vehicles, and the road. Includes the collection
and analysis of traffic operations data, fundamentals of traffic flow theory,
analysis of capacity and level of service and accident analysis.
CE 637  (3) (IR)
Transportation Safety Engineering
Prerequisite: CE 344 and 444 or instructor permission.
A study of different transportation systems management strategies, with specific emphasis on their impact on safety, including methods of obtaining and analyzing crash data. Emphasis will also be placed on the interaction of human and vehicle characteristics and the road environment on safety.
CE 638  (3) (Y)
Public Transportation
Prerequisite: Graduate standing or instructor permission.
Study of the application of transportation
systems and technologies in an urban context. Focuses on the management and operation
of public transit
systems, and comparative costs and capabilities of transit modes.
CE 639  (3) (IR)
Financing Transportation Infrastructure
Prerequisite: CE 635.
The financing of transportation systems and services
is an important element in the process of developing new or renovated facilities.
This course develops familiarity with financing techniques that have been proposed
or used by localities and state agencies. Consideration is given to advantages
and disadvantages and the conditions appropriate to their application.
CE 640  (3) (Y)
Wastewater Treatment
Prerequisite: CE 430 or instructor permission.
Presents a concise summary
of wastewater treatment processes, with emphasis on applications to municipal
and industrial wastewaters. Physical,
chemical, and biological treatment processes are discussed. Also covers practices
of removing conventional and toxic pollutants in wastewaters.
CE 641  (3) (Y)
Water Quality Modeling
Prerequisite: CE 430 or instructor permission.
A first course in surface
water quality modeling. Emphasizes the basic understanding of the mechanisms
and interactions to various types
of water quality behavior. Designed to meet a very simple need–dissemination
of the fundamentals and principles underlying the mathematical modeling techniques
used to analyze the quality of surface waters. Students practice wasteload
allocations
using a variety of water quality models on microcomputer systems.
CE 644  (3) (Y)
Water Chemistry for Environmental Engineering
Prerequisite: CHEM 151 and 151L, and graduate standing.
Teaches the
basic principles of inorganic and organic chemistry as applied to problems in
environmental engineering, including water and wastewater
treatment, contaminant hydrology, and hazardouswaste management. Specific
topics include analytical instrumentation, acidbase chemistry, reaction kinetics,
precipitation and dissolution, organic and surface chemistry, and chlorine chemistry
for water disinfection.
CE 653  (3) (Y)
Hydrology
Prerequisite: CE 336 or instructor permission.
Stresses the quantitative
description and the physical basis of hydrology. Both deterministic and stochastic
methodology are applied to the
analysis of the hydrologic cycle, namely, precipitation, evaporation, overland
flow and stream flow, infiltration, and groundwater flow. The use of computer
simulation models, especially microcomputer based models, is emphasized.
CE 655  (3) (Y)
GroundWater Hydrology
Prerequisite: CS 101, CE 315, CE 336, or equivalent.
Topics include
Darcy’s Law, fluid potential, hydraulic
conductivity, heterogeneity and anisotropy, the unsaturated zone, compressibility,
transmissivity and storativity, the 3D equation of groundwater flow, steadystate
and transient regional groundwater flow, and well hydraulics, including discussions
involving Theis’ Inverse Method, Jacob’s Method, slug test analyses,
and the principle of superposition. Students solve transient, onedimensional
and steadystate, twodimensional groundwater flow problems by solving the
governing partial differential equations by the finitedifference technique.
Also includes numerical solution of tridiagonal systems of linear equations,
truncation errors, and stability analysis. Requires writing computer programs
using Fortran, C++, or an equivalent.
CE 656  (3) (Y)
Environmental Systems Management
Prerequisite: Graduate standing or instructor permission.
Emphasizes
the formulation of environmental management issues as optimization problems.
Simulation models are presented and then combined
with optimization algorithms. Environmental systems to be addressed include
stream quality, air quality, water supply, waste management, groundwater remediation,
and reservoir operations. Optimization techniques presented include linear,
integer, and separable programming, dynamic programming and nonlinear programming.
CE 665  (3) (Y)
Mechanics of Composite Materials
Prerequisite: Knowledge of strength of materials and
a computer language.
Analyzes the properties and mechanics of fibrous, laminated
composites; stress, strain, equilibrium, and tensor notation; micromechanics,
lamina, laminates, anisotropic materials, classical lamination theory, stiffness
and strength, interlaminar stresses, fabrication, and test methods; thermal
stresses, analysis, design and computerized implementation. Crosslisted as
AM 665.
CE 666  (3) (Y)
Stress Analysis of Composites
Prerequisite: CE 665 or AM 665.
Focuses on 3D anisotropic constitutive
theory, edge effects and interlaminar stresses, failure criteria, fracture, anisotropic
elasticity,
micromechanics, laminated plates, hygrothermal effects, conduction and diffusion.
Crosslisted as AM 666.
CE 671  (3) (Y)
Introduction to Finite Element Methods
Prerequisite: CE 471 or equivalent.
Focuses on the fundamentals and
basic concepts of the finite element method; modeling and discretization; application
to onedimensional
problems; direct stiffness method; element characteristics; interpolation functions;
extension to plane stress problems.
CE 672  (3) (Y)
Numerical Methods in Structural Mechanics
Prerequisite: CE 471.
Focuses on solutions to the static, dynamic,
and buckling behavior of determinate and indeterminate structures by numerical
procedures, including
finite difference and numerical integration techniques.
CE 675  (3) (SI)
Theory of Structural Stability
Prerequisite: Instructor permission.
Introduces the elastic stability
of structural and mechanical systems. Studies classical stability theory and
buckling of beams, trusses,
frames, arches, rings and thin plates and shells. Also covers the derivation
of design formulas, computational formulation and implementation. Crosslisted
as AM 675.
CE 677  (3) (SI)
Risk and Reliability in Structural Engineering
Prerequisite: Background in probability and statistics.
Studies the
fundamental concepts of structural reliability; definitions of performance and
safety, uncertainty in loadings, materials and
modeling. Analysis of loadings and resistance. Evaluation of existing design
codes. Development of member design criteria, including stability, fatigue and
fracture criteria; and the reliability of structural systems.
CE 681  (3) (Y)
Advanced Design of Metal Structures
Prerequisite: CE 401 or equivalent.
Analyzes the behavior and design
of structural elements and systems, including continuous beams, plate girders,
composite steelconcrete
members, members in combined bending and compression. Structural frames, framing
systems, eccentric connections, and torsion and torsional stability are also
studied.
CE 683  (3) (O)
Prestressed Concrete Design
Prerequisite: CE 326 or equivalent.
Analyzes prestressing materials
and concepts, working stress analysis and design for flexure, strength analysis
and design for flexure, prestress
losses, design for shear, composite prestressed beams, continuous prestressed
beams, prestressed concrete systems concepts, load balancing, slab design.
CE 684  (3) (E)
Advanced Reinforced Concrete Design
Prerequisite: CE 326.
Study of advanced topics in reinforced concrete
design, including design of slender columns, deflections, torsion in reinforced
concrete, design
of continuous frames, and twoway floor systems. Introduction to design of
tall structures in reinforced concrete, and design of shear walls.
CE 685  (3) (SI)
Experimental Mechanics
Prerequisite: CE 323.
Analyzes the theories and techniques for the
determination of static and dynamic stresses, strains, and deformations. Studies
include photoelastic,
electrical, mechanical, and optical methods and instruments. Both models and
fullscale specimens will be used in experimental testing.
CE 691  (3) (IR)
Special Topics in Civil Engineering
Detailed study of special topics
in civil engineering. Master’slevel
graduate students.
CE 693  (Credit as arranged) (Y)
Independent Study
Detailed study of graduate course material on an
independent basis under the guidance of a faculty member. Master’slevel
graduate students.
CE 695  (Credit as arranged) (Y)
Supervised Project Research
Formal record of student commitment to
project research under the guidance of a faculty advisor. Registration may be
repeated as necessary.
Master’slevel graduate students.
CE 696  (1) (Y)
Graduate Seminar
Weekly meeting of master’slevel graduate students and
faculty for presentation and discussion of contemporary research and practice
in civil engineering. This seminar is offered for credit every spring semester
and should be taken by all students in the master’s program.
CE 700  (0) (Y)
Graduate Seminar
Prerequisite: For students who have established resident
credit.
Weekly meeting of graduate students and faculty for presentation
and discussion of contemporary research and practice in civil engineering.
This seminar is offered every spring semester.
CE 714  (3) (Y)
Advanced Pavement Analysis and Design
Prerequisite: CE 614
This course covers advanced topics in the design and analysis of pavement structures for all types of pavements. Mechanisticempirical design procedures will be covered. Drainage layer design will be discussed in detail. Actual pavement design programs will be used and advanced design checks and analysis topics will be covered in detail. Stress, strain, deflection calculation, and backcalculation procedures will also be discussed within this course.
CE 724  (3) (Y)
Dynamics of Structures
Prerequisite: Concrete and metal structure design and
CE 623.
Study of the dynamic behavior of such structures as beams,
rigid frames, floors, bridges, and multistory buildings under the action
of various disturbing forces such as wind, blasts, earthquakes, vehicles, machinery,
etc.
CE 725  (3) (Y)
Random Vibrations
Prerequisite: A background in probability theory and
vibration analysis.
Topics include a review of probability theory; stochastic
processes, with an emphasis on continuous, continuously parametered processes;
mean square
calculus, Markov processes, diffusion equations, Gaussian processes, and Poisson
processes; response of SDOF, MDOF, and continuous linear and nonlinear models
to random excitation; upcrossings, first passage problems, fatigue and stability
considerations; Monte Carlo simulation, analysis of digital time series data,
and filtered excitation models. Crosslisted as AM 725.
CE 731  (3) (IR)
Project Planning
Prerequisite: CE 632 and 633.
Analyzes the planning of public facilities
in contemporary society; review of common social, economic, and environmental
impact considerations
in the location and design of corridor or point facilities; cost parameters;
comprehensive methods of evaluating and combining tangible and intangible factors
including cost benefit, cost effectiveness, goals, achievement, planning balance
sheet, risk profiles, preference theories, mapping, and factor analysis methods;
case studies.
CE 732  (3) (E)
Transportation Impact Analysis
Prerequisite: CE 633, 634, and 636.
Introduces the nontravel impacts
of transportation systems and the methodologies used to capture them for project
evaluation; to develop
and illustrate methodologies used for evaluating the effectiveness of transportation
systems/projects including benefitcost analysis and multiobjective decision
models, and; to illustrate the analysis of different alternatives.
CE 734  (3) (IR)
Traffic Flow Theory
Prerequisite: CE 636.
Analyzes theoretical and computer applications
of mathematical models of traffic flow; deterministic and stochastic traffic
flow models; queuing
theory and its application including cases where arrival rates exceed service
rates; acceleration noise and traffic simulation.
CE 735 (3) (IR)
Transportation Logistics
Prerequisite: CE 632.
This course covers logistics systems, with emphasis on the design and analysis of transportation and supply chain systems, such as (1) the activities of transportation and supply chain systems including transportation network design, scheduling, routing, contracting and pricing, (2) interactions and tradeoffs of these activities, and (3) models and techniques for the analysis of logistics systems and the development of decision support systems.
CE 738  (3) (O)
Advanced Integrated Transportation Systems Models
Prerequisite: CE 632 and CE 636.
Introduces the current and advanced optimization
and simulation computer models used in traffic operations. Increased familiarity
with the concepts
and methodologies associated with selecting an appropriate model for a given
situation. Covers the advantages and disadvantages of the models considered
and is projectoriented, with students spending a significant amount of time
in selecting and using these models to solve "real world" problems.
CE 739  (3) (IR)
Advanced Topics in Transportation
Focuses on selected contemporary problems in transportation
that are of interest to the students and faculty. Seminars, guest lecturers,
projects.
CE 742  (3) (SI)
Modeling Environmental Fate and Effects of Contaminants
Prerequisite: CE 641 or instructor permission.
Designed as a followup
course for Water Quality Modeling, this course covers a number of modeling applications.
Designed to apply water
quality models to regulatory oriented water quality problems. Emphasis on reading
water quality data using models, the results of which serve as a rational basis
for making water quality control decisions. Each student conducts an individual
water quality modeling study using actual data.
CE 743  (3) (E)
Theory of Groundwater Flow and Contaminant Transport
Prerequisite: CE 655 or equivalent.
Provides a theoretical framework
for understanding fluid flow and contaminant transport in porous media. Topics
include the properties of
a porous medium, including types of phases, soil and clay mineralogy, surface
tension and capillarity, soil surface area, and soil organicmatter composition;
the derivation of the general equations for multiphase fluid flow and multispecies
solute transport; and the fundamentals of the fate and transport processes of
organic pollutants in groundwater systems, including advection, dispersion,
diffusion, sorption, hydrolysis, and volatilization.
CE 746  (3) (Y)
Groundwater Modeling
Prerequisite: CE 655 or instructor permission.
Introduces the fundamentals
of modeling groundwater systems. Emphasizes the evaluation, development, and
application of computer models.
Modeling techniques include analytical solutions, finite difference and finite
element methods, particle tracking, and inverse modeling. Models are applied
to flow and transport in saturated and unsaturated groundwater systems.
CE 748  (3) (SI)
Design of Waste Containment Facilities
Corequisite: CE 644 and 655.
Covers concepts important to the design
and construction of new waste disposal facilities, and to the closure of existing
disposal facilities.
Emphasizes the fundamentals of contaminant behavior in a porous media, engineering
designs to reduce contaminant migration, and issues related to the operation,
monitoring, and closure of waste disposal facilities.
CE 750  (3) (SI)
Hazardous Waste Site Characterization and Remediation
Corequisite: CE 644 and 655.
Covers concepts important to the characterization
and remediation of hazardous contamination of soil and groundwater. Theoretical
concepts of
contaminant behavior in the subsurface, methods of contaminant detection, and
remedial systems are combined with issues of practical implementation at the
field scale.
CE 754  (3) (SI)
Stormwater Management and Nonpoint Source Pollution Control
Prerequisite: CE 653 or instructor permission.
Discusses nonpoint source
pollution in general, and stormwaterinduced pollution in particular. Emphasizes
stormwater management planning and design
in an urban setting. An integrated watershed management approach in nonpoint
source pollution control is described. Topics include sources and impact of
nonpoint pollution; stormwater regulations; combined sewer overflow problems;
best management practices; such as detention ponds and constructed wetlands;
design methodologies; and institutional considerations.
CE 767  (3) (SI)
Micromechanics of Heterogeneous Media
Prerequisite: CE 602.
Analyzes averaging principles, equivalent homogeneity,
effective moduli, bounding principles, selfconsistent schemes, composite spheres,
concentric
cylinders, three phase model, repeating cell models, inelastic and nonlinear
effects, thermal effects, isotropic and anisotropic media, strength and fracture.
Crosslisted as APMA 767, AM 767.
CE 773  (3) (Y)
Advanced Finite Element Applications in Structural
Engineering
Prerequisite: CE 671 or equivalent.
Development and application of
two and threedimensional finite elements; plate bending; isoparametric formulation;
solid elements; nonlinear
element formulation with application to material and geometric nonlinearities;
stability problems; formulation and solution of problems in structural dynamics;
use of commercial computer codes.
CE 776  (3) (SI)
NonLinear Structural Systems
Prerequisite: CE 671, 672, or instructor permission.
Discussion of
deflection theory. Analysis of arches, suspension bridges, cable supported roof
systems, guyed towers, lattice domes and space
trusses. Focuses on windinduced vibration, creep effects, and the viscoelastic
behavior of structures.
CE 780  (3) (SI)
Optimum Structural Design
Prerequisite: Instructor permission.
Introduces the basic concepts,
numerical methods, and applications of optimum design to civil engineering structures;
formulation of the optimum
design problems; development of analysis techniques including linear and nonlinear
programming and optimality criteria; examples illustrating application to steel
and concrete structures.
CE 782  (3) (EO)
Design of Slab and Shell Structures
Prerequisite: CE 683 or 684.
Using both exact and simplified methods
of thin shell theory, such structures as domes, cylindrical roofs, tanks, hyperbolic
paraboloids,
folder plate roofs, and suspension forms are analyzed and designed. Effects
of stiffening beams and edge stress are studied. Considers erection, economy
and aesthetics.
CE 791  (3) (IR)
Special Topics in Civil Engineering
Detailed study of special topics in civil engineering. Doctorallevel
graduate students.
CE 793  (Credit as arranged) (Y)
Independent Study
Detailed independent study of graduate course material under
the guidance of a faculty member. Doctorallevel graduate students.
CE 795  (Credit as arranged) (Y)
Supervised Project Research
Formal record of student commitment to project research under
the guidance of a faculty advisor. Registration may be repeated as necessary.
Doctorallevel graduate student.
CE 796  (1) (Y)
Graduate Seminar
Weekly meeting of doctorallevel graduate students and faculty
for presentation and discussion of contemporary research and practice in civil
engineering. This seminar is offered for credit every spring semester and should
be taken by all students in the Ph.D. program.
CE 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
CE 898  (Credit as arranged) (Y)
Thesis
Formal record of student commitment to master’s thesis
research under the guidance of a faculty advisor. Registration may be repeated
as necessary.
CE 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
CE 999  (Credit as arranged) (Y)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor.
Computer Science
CS 551  (3) (SI)
Special Topics in Computer Science
Prerequisite: Instructor permission.
Course content varies by section
and is selected to fill timely and special interests and needs of students. See
CS 751 for example topics.
May be repeated for credit when topic varies.
CS 571  (3) (Y)
Translation Systems
Prerequisite: CS 333 or instructor permission.
Study of the theory,
design, and specification of translation systems. Translation systems are the
tools used to translate a source language
program to a form that can be executed. Using rigorous specification techniques
to describe the inputs and outputs of the translators and applying classical
translation theory, working implementations of various translators are designed,
specified, and implemented.
CS 586  (3) (Y)
RealTime Systems
Prerequisites: CS 333 and CS 414, knowledge of C or
C++, or instructor permission.
This course presents the underlying theory, concepts,
and practice for realtime systems, such as avionics, process control, space
travel, mobile
computing and ubiquitous computing. The goals of the course include: introducing
the unique problems that arise when time constraints are imposed on systems,
identifying basic theory and the boundary between what is known today and what
is still research, stressing a systems integration viewpoint in the sense of
showing how everything fits together rather than presenting a collection of
isolated solutions, and addressing multiprocessing and distributed systems.
This course also presents some of the basic results from what might be called
the classical technology of realtime computing and presents these results in
the context of new applications of this technology in ubiquitous/pervasive computer
systems.
CS 587  (3) (Y)
Security in Information Systems
Prerequisites: CS 340 and either CS 457 or CS 414 or
instructor permission.
This course focuses on security as an aspect of a variety
of software systems. We will consider software implementations of security related
policies in the context of operating systems, networks, and data bases. Topics
include: operating system protection mechanisms, intrusion detection systems,
formal models of security, cryptography and associated security protocols, data
base security, worms, viruses, network and distributed system security, and
policies of privacy and confidentiality.
CS 588  (3) (Y)
Cryptology: Principles and Applications
Prerequisites: CS 302 or instructor permission.
Introduces the basic
principles and mathematics of cryptology including information theory, classical
ciphers, symmetric key cryptosystems
and publickey cryptosystems. Develops applications of cryptology such as anonymous
email, digital cash and code signing.
CS 616  (3) (Y)
KnowledgeBased Systems
Prerequisite: Graduate standing.
Introduces the fundamental concepts
for research, design, and development of knowledgebased systems. Emphasizes
theoretical foundations of
artificial intelligence, problem solving, search, and decision making with
a view toward applications. Students develop a working knowledgebased system
in a realistic application domain. Crosslisted as SYS 616.
CS 644  (3) (Y)
Introduction to Parallel Computing
Prerequisites: CS 308, 414, and 415, or instructor permission.
Introduces
the basics of parallel computing. Covers parallel computation models, systems,
languages, compilers, architectures, and algorithms.
Provides a solid foundation on which advanced seminars on different aspects
of parallel computation can be based. Emphasizes the practical application of
parallel systems. There are several programming assignments.
CS 645  (3) (Y)
Computer Graphics
Prerequisite: Knowledge of C/C++.
Analyzes display devices, line and
circle generators; clippings and windowing; data structures; 2D picture transformations;
hidden line and
surface algorithms; shading algorithms; free form surfaces; color graphics;
3D picture transformation. Crosslisted as ECE 635.
CS 650  (3) (Y)
Building Complex Software Systems
Prerequisite: Firstyear standing as a CS graduate,
good programming skills, undergraduate mastery of operating systems and programming
languages, or instructor permission.
This course requires actual implementation
of a complex, challenging
system such as those encountered in today’s world. Most systems undertaken
involve an external interface implementation, such as a realtime controller,
robotic management, requiring sophisticated sensor input. Available implementation
tools, such a CORBA, distributed RPC calls, and GUI interface systems are mastered
as appropriate to the project. Similarly, relevant software engineering concepts,
such as system specification and documentation methodologies are developed
as
appropriate to the project.
CS 651  (3) (SI)
Special Topics in Computer Science
Prerequisite: Instructor permission.
Course content varies by section
and is selected to fill timely and special interests and needs of students. See
CS 751 for example topics.
May be repeated for credit when topic varies.
CS 654  (3) (Y)
Computer Architecture
Prerequisite: CS 333 or proficiency in assembly language
programming.
Study of representative digital computer organization with
emphasis on control unit logic, input/output processors and devices, asynchronous
processing, concurrency, and parallelism. Memory hierarchies.
CS 655  (3) (Y)
Programming Languages
Prerequisite: CS 415 or equivalent.
Examines modern and nonimperative
languages, the theoretical techniques used to design and understand them, and
the implementation techniques
used to make them run. Topics include functional languages, objectoriented
languages, language safety and classification of errors, type systems, formal
semantics, abstraction mechanisms, memory management, and unusual controlflow
mechanisms. Example languages include Standard ML, Modula3, CLU, Scheme, Prolog,
and Icon.
CS 656  (3) (Y)
Operating Systems
Prerequisite: Undergraduate course in OS; CS 654 or
instructor permission.
Covers advanced principles of operating systems. Technical
topics include support for distributed OSs; microkernels and OS architectures;
processes and threads; IPC; files servers; distributed shared memory; objectoriented
OSs; reflection in OSs; realtime kernels; multiprocessing; multimedia and quality
of service; mobile computing; and parallelism in I/O.
CS 660  (3) (Y)
Theory of Computation
Prerequisite: CS 302 or equivalent.
Analyzes formal languages, the
Chomsky hierarchy, formal computation and machine models, finite automata, pushdown
automata, Turing machines, Church’s
thesis, reductions, decidability and undecidability, and NPcompleteness.
CS 661  (3) (Y)
Design and Analysis of Algorithms
Prerequisite: CS 432 or equivalent.
Analyzes concepts in algorithm
design, problem solving strategies, proof techniques, complexity analysis, upper
and lower bounds, sorting and searching,
graph algorithms, geometric algorithms, probabilistic algorithms, intractability
and NPcompleteness, transformations, and approximation algorithms.
CS 662  (3) (Y)
Database Systems
Prerequisite: CS462 or equivalent.
Studies new database systems, emphasizing
database design and related system issues. Explores advanced topics such as objectoriented
and
realtime database systems, data warehousing, data mining, and workflow. Makes
use of either commercial or research database systems for inclass projects.
CS 682  (3) (Y)
Digital Picture Processing
Prerequisite: Graduate standing.
Explores basic concepts of image formation
and image analysis: imaging geometries, sampling, filtering, edge detection,
Hough transforms, region
extraction and representation, extracting and modeling threedimensional objects.
Crosslisted as ECE 682.
CS 685  (3) (Y)
Software Engineering
Prerequisite: CS 340 or equivalent.
Analyzes project management, software
tools, requirements and specification methods; topdown, bottomup, and dataflow
design; structured
programming, information hiding, programming language issues, and coding standards;
software development environments, fault tolerance principles, and testing.
CS 693  (Credit as arranged) (SI)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
CS 696  (1) (Y)
Computer Science Perspectives
Prerequisite: CS graduate student or instructor permission.
This "acclimation" seminar
helps new graduate students become productive researchers. Faculty and visitors
speak on a wide variety
of research topics, as well as on tools available to researchers, including
library resources, various operating systems, UNIX power tools, programming
languages, software development and version control systems, debugging tools,
user interface toolkits, word processors, publishing systems, HTML, JAVA, browsers,
Web tools, and personal time management.
CS 715  (3) (SI)
Performance Analysis of Communication Networks
Prerequisite: CE/ECE 457, APMA 310, or instructor permission.
Analyzes
the topologies arising in communication networks; queuing theory; Markov Chains
and ergodicity conditions; theory of regenerative
processes; routing algorithms; multiaccess and randomaccess transmission
algorithms; mathematical methodologies for throughput and delay analyses and
evaluations;
performance evaluation; performance monitoring; local area networks (LANs);
interactive LANs. Crosslisted as ECE 715.
CS 716  (3) (Y)
Artificial Intelligence
Prerequisite: CS 616 or SYS 616.
Indepth study of a few major areas
historically considered to be part of artificial intelligence. Emphasizes the
design considerations
involved in automatic theorem proving, natural language understanding, and
machine learning. Crosslisted as SYS 716.
CS 751  (3) (SI)
Selected Topics in Computer Science
Prerequisite: Instructor permission.
Content varies based on the interest
and needs of students. Topics may include safety critical systems, parallel processing,
information
retrieval, data communications, computer networks, realtime computing, distributed
multimedia systems, electronic commerce, and advanced combinatorics and graph
theory.. May be repeated for credit when topic varies.
CS 756  (3) (O)
Models of Computing Systems
Prerequisite: CS 656 and either SYS 605 or ECE 611.
Explores studies
of user behavior, program behavior, and selected aspects of computer systems
such as scheduling, resource allocation, memory
sharing, paging, or deadlocks. Analyzes mathematical models and simulation,
the use of measurements in the formulation and validation of models, and performance
evaluation and prediction.
CS 757  (3) (Y)
Computer Networks
Prerequisite: CS 656 or instructor permission.
Introduction: switching
methods, network services, layered protocol architectures, OSI reference model;
Physical Layer: transmission media,
modulation, encoding; Data Link Layer: framing, error detection and correction,
ARQ protocols, data link layer protocols, multiplexing; Local Area Networks:
multiple access protocols, local network topologies, CSMA/CD, token bus, token
ring, FDDI, DQDB; Network Layer: packet switching, routing algorithms, traffic
control, internetworking, network protocols; Transport Layer: transport services,
connection management, transport protocols; Special topics such multimedia,
ATM, and protocol design and verification.
CS 771  (3) (Y)
Compilers
Prerequisite: CS 660 and 655, or equivalent.
Study of techniques used
in the implementation of assemblers, compilers, and other translator systems.
Analyzes the relationship of available
techniques to the syntactic and semantic specification of languages.
CS 782  (3) (Y)
Advanced Computer Vision
Prerequisite: CS 682.
Analyzes advanced topics in automated reconstruction
of imaged objects and computer interpretation of imaged scenes; techniques for
threedimensional
object reconstruction; computing motion parameters from sequences of images;
computational frameworks for vision tasks such as regularization, and stochastic
relaxation; approaches for autonomous navigation. Depth image analysis; novel
imaging techniques and applications; and parallel architectures for computer
vision. Crosslisted as ECE 782.
CS 793  (Credit as arranged) (SI)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
CS 851  (3) (SI)
Advanced Topics in Computer Science
Prerequisite: Instructor permission.
The exact syllabus for the seminar
depends on the interests of the participants. Recent publications are read and
analyzed. Student presentations
followed by intense discussion. Original work and submission to conferences
may be required. May be repeated for credit when the topics vary.
CS 854  (3) (Y)
Topics in Computer Architecture
Prerequisite: CS 654 or instructor permission.
Studies selected advances
in the architecture of computer systems. May include distribution processor systems,
memory hierarchies, and secondary
storage management schemes.
CS 855  (3) (Y)
Topics in Programming Languages
Prerequisite: CS 655 or instructor permission.
Studies selected advanced
topics in design, definition, and implementation of programming languages. Typical
recent topics: parallel language
design; formal semantics of programs. May be repeated for credit when the topics
vary.
CS 856  (3) (Y)
Topics in Operating Systems
Prerequisite: CS 656 or instructor permission.
Topics covered are generally
chosen from one or more of the following operating system research areas: detailed
case studies, distributed
systems, global computing, distributed shared memory, realtime systems, objectoriented
systems, security, multimedia, and mobile computing.
CS 860  (3) (O)
Topics in Theoretical Computer Science
Prerequisite: CS 660 or instructor permission.
Study of selected formal
topics in computer science, including computational geometry, advanced searching
techniques, proximity and intersection
problems, interconnection problems, VLSI CAD, amortized complexity analysis,
approximation algorithms, zeroknowledge proofs, biological computing, and quantum
computing.
CS 862  (3) (Y)
Topics in Database Systems
Prerequisite: CS 662 or instructor permission.
Analyzes the implementation
of database systems, concurrent and distributed access, backup, and security;
query languages and optimization
of query access; multiattribute dependencies and retrieval. Data warehousing
and webbased data systems are explored.
CS 882  (3) (Y)
Special Topics in Computer Vision/Image Processing
Prerequisite: Instructor permission.
For M.S. and Ph.D. students conducting
research in image processing and machine vision. The contents vary with each
semester and each instructor.
An indepth study of recent research in narrowly defined areas of computer
vision/image processing. Readings from recently published articles in journals
and conference
proceedings are assigned. Crosslisted as ECE 882.
CS 885  (3) (O)
Topics in Software Engineering
Prerequisite: CS 685 or instructor permission.
A special topics course
in software engineering. Topics are determined by the individual instructor,
but might include software reliability;
engineering realtime systems; managing large software projects; resource estimation;
validation and verification; or advanced programming environments.
CS 895  (3) (S)
Supervised Project Research
Formal record of student commitment to project research for
the Master of Computer Science degree under the guidance of a faculty advisor.
CS 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students who are teaching
assistants.
CS 898  (Credit as arranged) (SI)
Thesis
Formal record of student commitment to thesis research for
the Master of Science degree under the guidance of a faculty advisor. May be
repeated as necessary.
CS 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students who are teaching assistants.
CS 999  (Credit as arranged) (SI)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor. May be repeated as necessary.
Electrical and Computer Engineering
ECE 525  (3) (SI)
Introduction to Robotics
Prerequisite: ECE 402 or 621, or equivalent.
Analyzes kinematics, dynamics
and control of robot manipulators, and sensor and actuator technologies (including
machine vision) relevant to
robotics. Includes a robotics system design project in which students completely
design a robotic system for a particular application and present it in class.
Includes literature related to emerging technologies and Internet resources
relevant to robotics.
ECE 541  (3) (SI)
Optics and Lasers
Prerequisite: ECE 303, 309, 323.
Reviews the electromagnetic principles
of optics; Maxwell’s
equations; reflection and transmission of electromagnetic fields at dielectric
interfaces; Gaussian beams; interference and diffraction; laser theory with
illustrations chosen from atomic, gas and semiconductor laser systems; detectors
including photomultipliers and semiconductorbased detectors; and noise theory
and noise sources in optical detection.
ECE 556  (3) (Y)
Microwave Engineering I
Prerequisite: ECE 309 or instructor permission.
Design and analysis
of passive microwave circuits. Topics include transmission lines, electromagnetic
field theory, waveguides, microwave network
analysis and signal flow graphs, impedance matching and tuning, resonators,
power dividers and directional couplers, and microwave filters.
ECE 563  (3) (Y)
Introduction to VLSI
Prerequisite: ECE 203, ECE 230.
Digital CMOS circuit design and analysis:
combinational and sequential circuits. Computer microarchitecture: datapath,
control, memory,
I/O. Global design issues: clocking and interconnect. Design methodologies:
custom, semicustom, automatic. Faults: testing and verification. VLSI circuit
design, layout and implementation using the MOSIS service.
ECE 564  (3) (Y)
Microelectronic Integrated Circuit Fabrication
Prerequisite: ECE 303 or equivalent.
Explores fabrication technologies
for the manufacture of integrated circuits and microsystems. Emphasizes processes
used for monolithic siliconbased
systems and basic technologies for compound material devices. Topics include
crystal properties and growth, Miller indices, Czochralski growth, impurity
diffusion, concentration profiles, silicon oxidation, oxide growth kinetics,
local oxidation, ion implantation, crystal annealing, photolithography and pattern
transfer, wet and dry etching processes, anisotropic etches, plasma etching,
reactive ion etching, plasma ashing, chemical vapor deposition and epitaxy;
evaporation, sputtering, thin film evaluation, chemicalmechanical polishing,
multilevel metal, device contacts, rapid thermal annealing, trench isolation,
process integration, and wafer yield.
ECE 576  (3) (Y)
Digital Signal Processing
Prerequisite: ECE 323 and 324, or equivalent.
Fundamentals of discrete
time signal processing are presented. Topics include discretetime linear systems,
continuous time signal sampling
and reconstruction, Discrete Fourier Transform (DFT), Fast Fourier Transform
(FFT), Spectral analysis, Ztransform, FIR and IIR digital filter design, and
digital filter implementations. Problem solving using MATLAB is required.
ECE 578  (1.5) (Y)
Digital Signal Processing Laboratory
Prerequisite: ECE 323 and 324; corequisite: ECE576.
This course
provides handson exposure to realtime digital signal sampling (DSP) using generalpurpose
DSP processors. The laboratory sequence
explores sampling/reconstruction, aliasing, quantization errors, fast Fourier
transform, spectral analysis, and FIR/IIR digital filter design and implementation.
Programming is primarily in C++, with exposure to assembly coding.
ECE 586, 587  (13) (SI)
Special Topics in Electrical and Computer Engineering
Prerequisite: Instructor permission.
A firstlevel graduate/advanced
undergraduate course covering a topic not normally covered in the course offerings.
The topic usually reflects
new developments in the electrical and computer engineering field. Offering
is based on student and faculty interests.
ECE 601  (3) (SI)
Network Analysis and Synthesis
Prerequisite: ECE 204 and 324, or equivalent.
Design with active and
passive elements is introduced from an immittance realization standpoint. Initially,
the course deepens the student’s
circuit theory to include general passive and active elements and their characterization
and manipulation using matrix methods. Passive synthesis is then used as a foundation
for active synthesis employing immittanceconversion devices The course also
introduces some of the software packages available for approximation, network
function extraction, circuit synthesis and tolerance analysis. This material
provides a good background for continuing studies in signal processing, communications,
passive or active circuit design.
ECE 602  (3) (SI)
Electronic Systems
Prerequisite: ECE 204/307 or equivalent.
Explores frequency response
and stability of feedback electronic circuits. Analysis and design of analog
integrated circuits, such as operational
amplifiers, multipliers, phase locked loops, A/D and D/A converters and their
application to instrumentation, and control.
ECE 611  (3) (Y)
Probability and Stochastic Processes
Prerequisite: APMA 310, MATH 310, or equivalent.
Topics include probability
spaces (samples spaces, event spaces, probability measures); random variables
and vectors (distribution functions,
expectation, generating functions); and random sequences and processes; especially
specification and classification. Includes detailed discussion of secondorder
stationary processes and Markov processes; inequalities, convergence, laws of
large numbers, central limit theorem, ergodic, theorems; and MS estimation,
Linear MS estimation, and the Orthogonality Principle.
ECE 613  (3) (Y)
Communication Systems Engineering
Prerequisite: Undergraduate course in probability.
A first graduate
course in principles of communications engineering. Topics include a brief review
of random process theory, principles of optimum
receiver design for discrete and continuous messages, matched filters and correlation
receivers, signal design, error performance for various signal geometries, Mary
signaling, linear and nonlinear analog modulation, and quantization. The course
also treats aspects of system design such as propagation, link power calculations,
noise models, RF components, and antennas.
ECE 614  (3) (Y)
Estimation Theory
Prerequisite: ECE 611 or instructor permission.
Presents estimation
theory from a discretetime viewpoint. Onehalf of the course is devoted to parameter
estimation, and the other half
to state estimation using Kalman filtering. The presentation blends theory
with applications and provides the fundamental properties of, and interrelationships
among, basic estimation theory algorithms. Although the algorithms are presented
as a neutral adjunct to signal processing, the material is also appropriate
for students with interests in pattern recognition, communications, controls,
and related engineering fields.
ECE 621  (3) (Y)
Linear Automatic Control Systems
Prerequisite: ECE 323 or instructor permission.
Provides a working
knowledge of the analysis and design of linear automatic control systems using
classical methods. Introduces state space
techniques; dynamic models of mechanical, electrical, hydraulic and other systems;
transfer functions; block diagrams; stability of linear systems, and Nyquist
criterion; frequency response methods of feedback systems design and Bode diagram;
Root locus method; System design to satisfy specifications; PID controllers;
compensation using Bode plots and the root locus. Powerful software is used
for system design. Crosslisted as MAE 651.
ECE 622  (3) (Y)
Linear State Space Control Systems
Prerequisite: APMA 615, ECE 621, or instructor permission.
Studies linear dynamical systems emphasizing canonical representation and decomposition, state representation, controllability, observability, stability normal systems, state feedback and the decoupling problem. Representative physical examples. Crosslisted as MAE 652.
ECE 631  (3) (Y)
Advanced Switching Theory
Prerequisite: ECE 230 or equivalent.
Review of Boolean Algebra; synchronous
and asynchronous machine synthesis; functional decomposition; fault location
and detection; design for
testability techniques.
ECE 634  (3) (Y)
FaultTolerant Computing
Examines techniques for designing and analyzing dependable
computerbased systems. Topics include fault models and effects, fault avoidance
techniques, hardware redundancy, error detecting and correcting codes, time
redundancy, software redundancy, combinatorial reliability modeling, Markov
reliability modeling, availability modeling, maintainability modeling, safety
modeling, tradeoff analysis, design for testability, and the testing of redundant
digital systems. Includes a research project and investigation of current topics.
Cross listed as CS 634.
ECE 635  (3) (Y)
Computer Graphics in Engineering Design
Prerequisite: Knowledge of C.
Analyzes display devices, line and circle
generators; clipping and windowing; data structures; 2D picture transformations;
hidden line and
surface algorithm; shading algorithms; free form surfaces; color graphics;
3D picture transformation. Crosslisted as CS 645.
ECE 642  (3) (Y)
Optics for Optoelectronics
Prerequisite: ECE 541 or instructor permission.
Covers the electromagnetic
applications of Maxwell’s equations
in photonic devices such as the dielectric waveguide, fiber optic waveguide
and Bragg optical scattering devices. Includes the discussion of the exchange
of electromagnetic energy between adjacent guides, (i.e., mode coupling). Ends
with an introduction to nonlinear optics. Examples of optical nonlinearity include
second harmonic generation and soliton waves.
ECE 652  (1.5) (Y)
Microwave Engineering Laboratory
Corequisite: ECE 556 or instructor permission.
Explores measurement
and behavior of highfrequency circuits and components. Equivalent circuit models
for lumped elements. Measurement of
standing waves, power, and frequency. Use of vector network analyzers and spectrum
analyzers. Computeraided design, fabrication, and characterization of microstrip
circuits.
ECE 655  (3) (O)
Microwave Engineering II
Prerequisite: ECE 556 or instructor permission.
Explores theory and
design of active microwave circuits. Review of transmission line theory, impedance
matching networks and scattering matrices.
Transistor sparameters, amplifier stability and gain, and lownoise amplifier
design. Other topics include noise in twoport microwave networks, negative
resistance oscillators, injectionlocked oscillators, video detectors, and
microwave mixers.
ECE 663  (3) (Y)
Solid State Devices
Prerequisite: ECE 303 or equivalent, or solid state
materials/physics course.
Introduces semiconductor device operation based on
energy bands and carrier statistics. Describes operation of pn junctions and
metalsemiconductor
junctions. Extends this knowledge to descriptions of bipolar and field effect
transistors, and other microelectronic devices. Related courses: ECE 564, 666,
and 667.
ECE 666  (1.5) (Y)
Microelectronic Integrated Circuit Fabrication Laboratory
Corequisite: ECE 564.
Topics include the determination of semiconductor
material parameters: crystal orientation, type, resistivity, layer thickness,
and majority
carrier concentration; silicon device fabrication and analysis techniques:
thermal oxidation, oxide masking, solid state diffusion of intentional impurities,
metal
electrode evaporation, layer thickness determination by surface profiling and
optical interferometer; MOS transistor design and fabrication using the above
techniques, characterization, and verification of design models used.
ECE 667  (3) (Y)
Semiconductor Materials and Devices
Prerequisite: Some background in solid state materials
and elementary quantum principles.
Examines the fundamentals, materials, and
engineering properties of semiconductors; and the integration of semiconductors
with other materials
to make optoelectronic and microelectronic devices. Includes basic properties
of electrons in solids; electronic, optical, thermal and mechanical properties
of semiconductors; survey of available semiconductors and materials choice for
device design; fundamental principles of important semiconductor devices; submicron
engineering of semiconductors, metals, insulators and polymers for integrated
circuit manufacturing; materials characterization techniques; and other electronic
materials. Crosslisted as MSE 667.
ECE 673  (3) (Y)
Analog Integrated Circuits
Prerequisite: ECE 303 and 307, or equivalent.
Design and analysis of
analog integrated circuits. Topics include feedback amplifier analysis and design
including stability, compensation, and
offsetcorrection; layout and floorplanning issues associated with mixedsignal
IC design; selected applications of analog circuits such as A/D and D/A converters,
references, and comparators; and extensive use of CAD tools for design entry,
simulation, and layout. Includes an analog integrated circuit design project.
ECE 682  (3) (Y)
Digital Image Processing
Prerequisite: Graduate standing.
Analyzes the basic concepts of image
formation and image analysis: imaging geometries, sampling, filtering, edge detection,
Hough transforms, region
extraction and representation, extracting and modeling threedimension objects.
Students will be assigned analytical and programming assignments to explore
these concepts. Crosslisted as CS 682.
ECE 686, 687  (3) (SI)
Special Topics in Electrical and Computer Engineering
Prerequisite: Instructor permission.
A firstlevel graduate course
covering a topic not normally covered in the graduate course offerings. The topic
will usually reflect new
developments in the electrical and computer engineering field. Offering is
based on student and faculty interests.
ECE 693  (3) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
ECE 695  (36) (S)
Supervised Project Research
Formal record of student commitment to project research under
the guidance of a faculty advisor. A project report is required at the completion
of each semester. May be repeated as necessary.
ECE 712  (3) (Y)
Digital Communications
Prerequisite: ECE 611.
An indepth treatment of digital communications
techniques and performance. Topics include performance of uncoded systems such
as Mary,
PSK, FSK, and multilevel signaling; orthogonal and biorthogonal codes; block
and convolutional coding with algebraic and maximum likelihood decoding; burst
correcting codes; efficiency and bandwidth; synchronization for carrier reference
and bit timing; baseband signaling techniques; intersymbol interference; and
equalization.
ECE 715  (3) (O)
Performance Analysis of Communication Networks
Prerequisite: ECE /CS 457, APMA 310, or instructor permission.
Analyzes
topologies arising in communication networks; queuing theory; Markov Chains and
ergodicity conditions; theory of regenerative processes;
routing algorithms; multipleaccess and randomaccess transmission algorithms;
mathematical methodologies for throughput and delay analyses and evaluations;
performance evaluation; performance monitoring; local area networks (LANs);
interactive LANs; multimedia and ATM networks. Crosslisted as CS 715.
ECE 717  (3) (Y)
Information Theory and Coding
Prerequisite: ECE 611 or instructor permission.
A comprehensive treatment
of information theory and its application to channel coding and source coding.
Topics include the nature of information
and its mathematical description for discrete and continuous sources; noiseless
coding for a discrete source; channel capacity and channel coding theorems of
Shannon; error correcting codes; introduction to rate distortion theory and
practice of data compression; information and statistical measures.
ECE 722  (3) (SI)
Robotics
Prerequisite: ECE 525, 621, or instructor permission.
Analyzes kinematics
of manipulator robots in terms of homogeneous matrices, solution of the kinematics
equations; differential translations and
rotations, the Jacobian and the inverse Jacobian; manipulator path control;
manipulator dynamics, the Lagrange’s and Newton’s formulations; manipulator
control; principles of machine vision applied to robots, sensors, edge and feature
detection, object location and recognition; stereo vision and ranging; programming
of robot tasks.
ECE 723  (3) (O)
Optimal Control Systems
Prerequisite: ECE 622 or instructor permission.
Analyzes the development
and utilization of Pontryagin’s
maximum principle, the calculus of variations, HamiltonJacobi theory and dynamic
programming in solving optimal control problems; performance criteria including
time, fuel, and energy; optimal regulators and trackers for quadratic cost index
designed via the Ricatti equation; introduction to numerical optimization techniques.
Crosslisted as MAE 753.
ECE 725  (3) (SI)
Multivariable Robust Control Systems
Prerequisite: ECE 622 or equivalent, or instructor permission.
Studies
advanced topics in modern multivariable control theory; matrix fraction descriptions,
statespace realizations, multivariable poles
and zeroes; operator norms, singular value analysis; representation of unstructured
and structured uncertainty, linear fractional transformation, stability robustness
and performance robustness, parametrization of stabilizing controllers; approaches
to controller synthesis; H_{2}optimal control and loop transfer recovery;
H_{2}optimal control and statespace solution methods. Crosslisted
as MAE 755.
ECE 726  (3) (O)
Nonlinear Control Systems
Prerequisite: ECE 621 and 622.
Studies the dynamic response of nonlinear
systems; analyzes nonlinear systems using approximate analytical methods; stability
analysis using
the second method of Liapunov, describing functions, and other methods. May
include adaptive, neural, and switched systems. Crosslisted as MAE 756.
ECE 728  (3) (E)
Digital Control Systems
Prerequisite: ECE 412 and 621, APMA 615, or equivalent.
Includes sampling processes and theorems, ztransforms, modified transforms, transfer functions, and stability criteria; analysis in frequency and time domains; discrete state models of systems containing digital computers; and advanced discretetime control techniques. Some inclass experiments using small computers to control dynamic processes. Crosslisted as MAE 758.
ECE 735  (3) (Y)
Digital and Computer System Design
Prerequisite: ECE 435 or equivalent.
Studies the design of the elements
of special purpose and large scale digital processors using a hardware description
language. Selected topics
from the literature.
ECE 736  (3) (Y)
Advanced VLSI Systems Design
Prerequisite: ECE 563 or instructor permission.
Includes structured
VLSI design, special purpose VLSI architectures, and algorithms for VLSI computeraided
design. A major part of the class is
devoted to the design and implementation of a large project. Uses papers from
current literature as appropriate.
ECE 738  (3) (Y)
Computer System Reliability Engineering
A mathematical introduction to system reliability theory, emphasizing
the analysis of digital computer systems. Includes timetofailure models and
distributions, fault tree analysis, Markov models and counting processes, failure
and repair dependencies, sensitivity and importance analysis, hardware and software
redundancy management, and dependability measurement.
ECE 741  (3) (SI)
Fourier Optics
Prerequisite: ECE 324 and 541, or instructor permission.
Presents the
fundamental principles of optical signal processing. Begins with an introduction
to twodimensional spatial, linear systems analysis
using Fourier techniques. Includes scalar diffraction theory, Fourier transforming
and imaging properties of lenses and the theory optical coherence. Applications
of Wavefrontreconstruction techniques in imaging. Applications of Fourier Optics
to analog optical computing.
ECE 753  (3) (O)
Electromagnetic Field Theory
Prerequisite: ECE 409 or instructor permission.
Topics include techniques
for solving and analyzing engineering electromagnetic systems; relation of fundamental
concepts of electromagnetic
field theory and circuit theory, including duality, equivalence principles,
reciprocity, and Green’s functions; applications of electromagnetic principles
to antennas, waveguide discontinuities, and equivalent impedance calculations.
ECE 757  (3) (Y)
Computer Networks
Prerequisite: CS 656 or instructor permission.
Analyzes network topologies;
backbone design; performance and queuing theory; datagrams and virtual circuits;
technology issues; layered
architectures; standards; survey of commercial networks, local area networks,
and contentionbased communication protocols; encryption; and security. Crosslisted
as CS 757.
ECE 763  (3) (Y)
Physics of Semiconductors
Prerequisite: ECE 663 or instructor permission.
Analyzes semiconductor
band theory; constant energy surfaces and effective mass concepts; statistics
treating normal and degenerate materials;
spin degeneracy in impurities; excited impurity states and impurity recombination;
carrier transport; scattering mechanisms; and prediction techniques.
ECE 768  (3) (Y)
Semiconductor Materials and Characterization Techniques
Prerequisite: ECE 663 or instructor permission.
Analyzes semiconductor
growth and characterization methods applicable to IIIV heteroepitaxial growth
along with etching and contact formation
mechanisms; and the physical, structural, and electrical characterization tools
including Xray diffraction, Auger, Hall and C(V).
ECE 774  (3) (E)
Adaptive and Statistical Signal Processing
Prerequisite: ECE 611, 576, or equivalent; corequisite:
ECE 614.
Topics include a review of probability and stochastic processes,
parametric and nonparametric spectral estimation, optimal filtering, linear
prediction, methods of steepest descent, LMS filters, methods of least squares,
RLS filters, Kalman filters, and array signal processing techniques.
ECE 776  (3) (O)
MultiDimensional Signal Processing
Prerequisite: ECE 576 or instructor permission.
Provides the background
of multidimensional digital signal processing, emphasizing the differences and
similarities between the onedimensional
and multidimensional cases. Includes MD Fourier transforms, MD sampling
and reconstruction, MD DFT, MD filtering, MD spectral estimation, and inverse
problems such as tomography, iterative signal reconstruction, and coherent imaging.
Broad applications in radar, sonar, seismic, medical, and astronomical data
processing are introduced.
ECE 781  (3) (Y)
Pattern Recognition
Prerequisite: ECE 611 or equivalent.
Studies feature extraction and
classification concepts: analysis of decision surfaces, discriminant functions,
potential functions, deterministic
methods, automatic training of classifiers, analysis of training algorithms
and classifier performance, statistical classification including optimality
and design of optimal decision rules, clustering and nonsupervised learning,
feature selection and dimensionality reduction. Assignments include programming
and analytical problem sets and a final computer project.
ECE 782  (3) (Y)
Advanced Computer Vision
Prerequisite: ECE 682.
Studies automated reconstruction of imaged objects
and computer interpretation of imaged scenes; techniques for threedimensional
object reconstruction;
computing motion parameters from sequences of images; computational frameworks
for vision tasks such as regularization, and stochastic relaxation; approaches
for autonomous navigation; depth image analysis; novel imaging techniques and
applications; parallel architectures for computer vision. Crosslisted as CS
782.
ECE 786, 787  (3) (SI)
Special Topics in Electrical and Computer Engineering
Prerequisite: Instructor permission.
A second level graduate course
covering a topic not normally covered in the graduate course offerings. Topics
usually reflect new developments
in electrical and computer engineering and are based on student and faculty
interests.
ECE 793  (3) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
ECE 814  (3) (Y)
Advanced Detection and Estimation
Prerequisite: ECE 611 or instructor permission.
Analyzes classical
detection theory and hypothesis testing (Bayes, NeymonPearson, minimax); robust
hypothesis testing; decision criteria;
sequential and nonparametric detection; classical estimation theory (Bayes,
minimax, maximum likelihood); performance bounds; robustoutlier resistant estimation
of location parameters; stochastic distance measures; parametric and robust
operations in time series (Prediction, interpolation, filtering). Applications
to problems in communications, control, pattern recognition, signal processing.
ECE 825  (3) (SI)
Adaptive Control
Prerequisite: ECE 621 and 622, or instructor permission.
Analyzes parametrized
control system models, signal norms, Lyapunov stability, passivity, error models,
gradient and least squares algorithms
for parameter estimation, adaptive observers, direct adaptive control, indirect
adaptive control, certainty equivalence principle, multivariable adaptive control,
stability theory of adaptive control, and applications to robot control systems.
ECE 862  (3) (SI)
High Speed Transistors
Prerequisite: ECE 663 or 768 or instructor permission.
Includes the
principles of operation, device physics, basic technology, and modeling of high
speed transistors. A brief review of material
properties of most important compound semiconductors and heterostructure systems,
followed by the discussion of high speed Bipolar Junction Transistor technology,
Heterojuction Bipolar Transistors, and Tunneling Emitter Bipolar Transistors
and by the theory and a comparative study of MESFETs, HFETs, and VariableThreshold
and Splitgate Field Effect Transistors. Also includes advanced transistor concepts
based on ballistic and hot electron transport in semiconductors such as Ballistic
Injection Transistors and Real Space Transfer Transistors (RSTs) concepts.
ECE 863  (3) (SI)
High Frequency Diodes
Prerequisite: ECE 556, 663, or instructor permission.
Lectures on the
basic two terminal solid state devices that are still extensively used in high
frequency microwave and millimeterwave detector
and oscillator circuits. Devices discussed are PIN Diode limiters and phase
shifters; Schottky Diode mixers and varactors; PlanarDoped Barrier and Heterostructure
Barrier mixer diodes; SuperconductingInsulating Superconducting mixer devices;
MetalSemiconductorMetal photodetectors; Transferred Electron Devices; IMPATT
Diodes; and Resonant Tunelling Diodes. Basic concepts related to Noise in high
frequency circuits, Mixers, Resonators, and Oscillators are reviewed. Emphasis
on basic device theory, and device fabrication.
ECE 886, 887  (3) (SI)
Special Topics in Electrical and Computer Engineering
Prerequisite: Instructor permission.
A thirdlevel graduate course
covering a topic not normally covered in the graduate course offerings. The topic
will usually reflect new
developments in the electrical and computer engineering field. Offering is
based on student and faculty interests.
ECE 895  (36) (S)
Supervised Project Research
Formal record of student commitment to project research under
the guidance of a faculty advisor. Registration may be repeated as necessary.
ECE 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
ECE 898  (Credit as arranged) (S)
Thesis
Formal record of student commitment to master’s thesis
research under the guidance of a faculty advisor. May be repeated as necessary.
ECE 996  (Credit as arranged) (S)
Guided Teaching Experience
A guided teaching experience for Ph.D. students,
with selected teaching assignments and directed performance evaluation, under
the supervision of a faculty member,
as a part of Ph.D. training designed for students' development of independent
teaching skills.
ECE 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
ECE 999  (Credit as arranged) (S)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor. May be repeated as necessary.
Engineering Physics
Opportunities for research project work and special topics
are provided through the following courses:
EP 693  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
EP 695  (Credit as arranged) (S)
Supervised Project
Formal record of student commitment to project research under
the guidance of a faculty advisor. May be repeated.
EP 700  (0) (S)
Graduate Seminar
Weekly seminars for graduate students in Engineering Physics
offered every semester. All resident EP graduate students enroll each semester.
EP 733, 734  (3) (IR)
Special Topics in Engineering Physics
Prerequisite: instructor permission.
Advancedlevel study of selected
problems in engineering physics.
EP 793  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
EP 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
EP 898  (Credit as arranged) (S)
Master’s Degree Research
Formal record of student commitment to
master’s thesis
research under the guidance of a faculty advisor. May be repeated as necessary.
ECE 996  (Credit as arranged) (S)
Guided Teaching Experience
A guided teaching experience for Ph.D. students,
with selected teaching assignments and directed performance evaluation, under
the
supervision
of a
faculty member,
as a part of Ph.D. training designed for students' development of independent
teaching skills.
EP 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
EP 999  (Credit as arranged) (S)
Ph.D. Dissertation Research
Formal record of commitment to doctoral research under the
guidance of a faculty advisor. May be repeated as necessary.
Materials Science and Engineering
MSE 512  (3) (Y)
Introduction to Biomaterials
Provides a multidisciplinary perspective on the phenomenon
and processes which govern materialtissue interactions with the soft tissue,
hard tissue, and cardiovascular environments. Emphasizes both sides of the biomaterials
interface, examining the events at the interface, and discussing topics on material
durability and tissue compatibility.
MSE 524  (3) (Y)
Modeling in Materials Science
Prerequisite: None
Computational (primarily classical) methods of atomistic, mesoscopic, continuum, and multiscale modeling are discussed in the context of real materialsrelated problems (mechanical and thermodynamic properties, phase transformations, microstructure evolution during processing). Success stories and limitations of contemporary computational methods are considered. The emphasis of the course is on getting practical experience in designing and performing computer simulations. A number of prewritten computer codes are provided. Students use and modify the prewritten codes and write their own simulation and data analysis codes while working on their homework assignments and term projects.
MSE 532  (3) (Y)
Deformation and Fracture Mechanics of Structural Materials
Prerequisites: MSE 306 or instructor permission.
Deformation and fracture
are considered through integration of materials science microstructure and solid
mechanics principles, emphasizing
the mechanical behavior of metallic alloys and engineering polymers. Metal
deformation is understood based on elasticity theory and dislocation concepts.
Fracture
is understood based on continuum fracture mechanics and microstructural damage
mechanisms. Additional topics include fatigue loading, elevated temperature
behavior, material embrittlement, timedependency, experimental design, and
damagetolerant life prediction.
MSE 567  (3) (Y)
Electronic, Optical and Magnetic Properties of Materials
Explore the fundamental physical laws governing electrons in
solids, and show how that knowledge can be applied to understanding electronic,
optical and magnetic properties. Students will gain an understanding of how
these properties vary between different types of materials, and thus why specific
materials are optimal for important technological applications. It will also
be shown how processing issues further define materials choices for specific
applications.
MSE 601  (3) (Y)
Materials Structure and Defects
Prerequisite: Instructor permission.
Provides a fundamental understanding
of the structure and properties of perfect and defective materials. Topics include:
crystallography and crystal
structures, point defects in materials, properties of dislocations in f.c.c.
metals and other materials, surface structure and energy, structure and properties
of interphase boundaries.
MSE 602  (3) (Y)
Materials Characterization
Prerequisite: MSE 601 and MSE 623.
Develops a broad understanding of
the means used to characterize the properties of solids coupled with a fundamental
understanding of the underlying
mechanisms in the context of material science and engineering. The course is
organized according to the type of physical property of interest. The methods
used to assess properties are described through integration of the principles
of materials science and physics. Methods more amenable to analysis of bulk
properties are differentiated from those aimed at measurements of local/surface
properties. Breadth is achieved at the expense of depth to provide a foundation
for advanced courses.
MSE 604  (3) (SS)
Scanning Electron Microscopy and Microanalysis
Prerequisite: Instructor permission.
Covers the physical principles
of scanning electron microscopy and electron probe microanalysis. Laboratory
demonstrations and experiments
cover the operation of the SEM and EPMA. Applications of secondary and backscattered
electron imaging, energy dispersive xray microanalysis, wave analysis are
applied to materials characterization. Laboratory experiments may include either
materials science or biological applications, depending on the interests of
the student.
MSE 605  (3) (Y)
Structure and Properties of Materials I
Prerequisite: Instructor permission.
This is the first of a sequence of two basic courses for firstyear graduate students or qualified undergraduate students. Topics include atomic bonding, crystal structure, and crystal defects in their relationship to properties and behavior of materials (polymers, metals, and ceramics); phase equilibria and nonequilibrium phase transformation; metastable structures; solidification, and recrystallization.
MSE 606  (3) (Y)
Structure and Properties of Materials II
Prerequisite: MSE 605 or instructor permission.
This is the second of a twocourse sequence for the firstyear graduate and qualified undergraduate students. Topics include diffusion in solids; elastic, anelastic, plastic deformation; electronic and magnetic properties of materials. Emphasizes the relationships between microscopic mechanisms and macroscopic behavior of materials.
MSE 608  (3) (Y)
Chemical and Electrochemical Properties
Prerequisite: Physical chemistry course or instructor
permission.
Introduces the concepts of electrode potential, double layer
theory, surface charge, and electrode kinetics. These concepts are applied
to subjects that include corrosion and embrittlement, energy conversion, batteries
and fuel cells, electrocatalysis, electroanalysis, electrochemical industrial
processes, bioelectrochemistry, and water treatment.
MSE 623  (3) (Y)
Thermodynamics of Solids
Prerequisite: Instructor permission.
Emphasizes the understanding of thermal properties such as heat capacity, thermal expansion, and transitions in terms of the entropy and the other thermodynamic functions. Develops the relationships of the Gibbs and Helmholtz functions to equilibrium systems, reactions, and phase diagrams. Atomistic and statistical mechanical interpretations of crystalline and noncrystalline solids are linked to the general thermodynamical laws by the partition function. Nonequilibrium and irreversible processes in solids are discussed.
MSE 624  (3) (Y)
Kinetics of Solidstate Reactions
Prerequisite: MSE 623.
Course serves as an introduction to basic kinetic processes in materials, develops basic mathematical skills necessary for materials research, and reinforces basic numerical and computer programming skills. Students learn to formulate the partial differential equations and boundary conditions used to describe basic materials phenomena in the solid state including mass and heat diffusion in single and twophase systems, the motion of planar phase boundaries, and interfacial reactions. Students develop analytical and numerical techniques for solving these equations and apply them to understanding microstructural evolution.
MSE 635  (3) (E)
Physical Metallurgy of Light Alloys
Prerequisite: Instructor permission.
Develops the student’s literacy
in aluminum and titanium alloys used in the aerospace and automotive industries.
Considers performance
criteria and property requirements from design perspectives. Emphasizes processingmicrostructure
development, and structureproperty relationships.
MSE 647  (3) (O)
Physical Metallurgy of TransitionElement Alloys
Prerequisite: MSE 606 or instructor permission.
Reinforces fundamental concepts, introduces advance topics, and develops literacy in the major alloy systems. Emphasizes microstructural evolution by composition and thermomechanical process control. Topics include phase diagrams, transformation kinetics, martensitic transformation, precipitation, diffusion, recrystallization, and solidification. Considers both experimental and modelsimulation approaches.
MSE 662  (3) (Y)
Mathematics of Materials Science
Prerequisite: Instructor permission.
Representative problems in materials
science are studied in depth with emphasis on understanding the relationship
between physical phenomena
and their mathematical description. Topics include rate processes, anelasticity,
eigenvalue problems, tensor calculus, and elasticity theory.
MSE 667  (3) (Y)
Semiconductor Materials and Devices
Prerequisite: Some background in solid state materials
and elementary quantum principles.
Provides an understanding of the fundamentals,
materials, and engineering properties of semiconductors; and the integration
of semiconductors
with other materials to make optoelectronic and microelectronic devices. Topics
include basic properties of electrons in solids; electronic, optical, thermal
and mechanical properties of semiconductors; survey of available semiconductors
and materials choice for device design; fundamental principles of important
semiconductor devices; submicron engineering of semiconductors, metals, insulators
and polymers for integrated circuit manufacturing; materials characterization
techniques; and other electronic materials. Crosslisted as ECE 667.
MSE 691, 692  (3) (SI)
Topics in Materials Science
A study of special subjects related to developments in materials science under
the direction of members of the staff. Offered as required.
MSE 694  (3) (Y)
Materials Science Laboratory
Introduces student to the specialized experimental techniques used in materials science research. Particular attention given to the techniques of Xray diffractions and electron microscopy. The student is also introduced to several of the latest experimental methods such as field ion microscopy, electron spin resonance, and low voltage electron diffraction, etc. This course builds on MSE 602.
MSE 695  (Credit as arranged) (S)
Supervised Project Research
Formal record of student commitment to project research for
Master of Science or Master of Materials Science degree under the guidance of
a faculty advisor. May be repeated as necessary.
MSE 701, 702  (1) (Y)
Materials Science Seminar
Broad topics and indepth subject treatments are presented.
The course is related to research areas in materials science and involves active
student participation.
MSE 703  (3) (Y)
Electron Microscopy of Crystals
Prerequisite: MSE 601 or instructor permission.
Analysis of the physical principles of microscopy and electron optics, attainment of high resolution; massthickness contrast; theory of diffraction contrast; scanning electron microscopy and applications to materials science; highvoltage electron microscopy.
MSE 706  (3) (E)
Advanced Electron Microscopy
Prerequisite: MSE 703 or instructor permission.
Emphasis placed on the applications of advanced techniques of transmission and scanning electron microscopy to modern research problems in materials science and engineering. Microdiffraction and microanalysis, lattice imaging, and convergent beam diffraction in TEM and STEM are treated. In SEM, quantitative probe analysis techniques as well as back scattered electron imaging and channeling are covered.
MSE 712  (3) (Y)
Diffusional Processes in Materials
Prerequisite: MSE 623, 624.
An introduction to elasticity theory, the thermodynamics of stressed crystals, and diffuse interface theory with application to understanding microstructural evolution in bulk materials and thin films.
MSE 714  (3) (SI)
Quantization in Solids
Quantization arising from eigenvalue problems is discussed
in relation to the classical and quantum wave equations. This theory is applied
to lattice vibrations (phonons) and electrons in a solid. Topics studied in
detail include cohesion, thermal properties (e.g., specific heat and conductivity),
electrical properties (e.g., metallic conductivity and semiconductor junctions)
and optical properties (e.g., luminescence and photoconductivity).
MSE 722  (3) (SI)
Surface Science
Prerequisite: Instructor permission.
Analyzes the structure and thermodynamics
of surfaces, with particular emphasis on the factors controlling chemical reactivity
of surfaces;
adsorption, catalysis, oxidation, and corrosion are considered from both theoretical
and experimental viewpoints. Modern surface analytical techniques, such as Auger,
ESCA, and SIMS are considered.
MSE 731  (3) (Y)
Mechanical Behavior of Materials
Prerequisite: MSE 532 or instructor permission.
Studies the deformation of solids under stress; emphasizing the role of imperfections, state of stress, temperature and strain rate. Description of stress, strain, strain rate and elastic properties of materials comprise the opening topic. Then considers fundamental aspects of crystal plasticity, along with the methods for strengthening crystals at low temperatures. Covers deformation at elevated temperatures and deformation maps. Emphasizes the relationships between microscopic mechanisms and macroscopic behavior of materials.
MSE 732  (3) (SI)
Fracture Mechanics of Engineering Materials
Prerequisite: MSE 731 or instructor permission.
Develops the tools
necessary for fatigue and fracture control in structural materials. Presents
continuum fracture mechanics principles and
discusses fracture modes from the interdisciplinary perspectives of continuum
mechanics and microscopic plastic deformation/fracture mechanisms. Includes
cleavage, ductile fracture, fatigue, and environmental cracking, emphasizing
micromechanical modeling. Crosslisted as AM 732.
MSE 734  (3) (Y)
Phase Transformations
Prerequisite: MSE 623 or comparable thermodynamics.
Includes the fundamental
theory of diffusional phase transformations in solid metals and alloys; applications
of thermodynamics to calculation of
phase boundaries and driving forces for transformations; theory of solidsolid
nucleation, theory of diffusional growth, comparison of both theories with experiment;
applications of thermodynamics and of nucleation and growth theory to the principal
experimental systematics of precipitation from solid solution, the massive transformations,
the cellular and the pearlite reactions, martensitic transformations, and the
questions of the role of shear in diffusional phase transformations.
MSE 741  (3) (Y)
Crystal Defect Theory
Prerequisite: MSE 662 or instructor permission.
Studies the nature
and major effects of crystal defects on the properties of materials, emphasizing
metals. The elasticity theory of dislocations
is treated in depth.
MSE 751  (3) (Y)
Polymer Science
Prerequisite: Instructor permission.
Emphasizes the nature and types
of polymers and methods for studying them. Surveys chemical structures and methods
of synthesis, and develops
the physics of the special properties of polymers (e.g., rubber elasticity,
tacticity, glass transitions, crystallization, dielectric and mechanical relaxation,
and permselectivity). Discusses morphology of polymer systems and its influence
on properties.
MSE 752  (3) (SI)
Advanced Polymer Science II
Prerequisite: MSE 751 or instructor permission.
Focuses on the experimental
methods of polymer science. Develops a picture of polymer structure and properties
by examining the use of solutions
(viscosity and chromatography), thermal (DSC, DTA, TGA), microscopic (electron
and optical), spectroscopic (IR, Raman, NRM, mechanical and dielectric), scattering
(neutron, Xray, and visible light), and diffraction (neutron, electron and
Xray) techniques as they are applied to the characterization and study of
polymeric materials.
MSE 757  (3) (SI)
Materials Processing
Prerequisite: MSE 731 or instructor permission.
Discusses scientific
and technological bases of material processing. Examines solidification, deformation,
particulate and thermomechanical processing
from a fundamental point of view and discusses their current technological
applications.
MSE 762  (3) (E)
Modern Composite Technology
Prerequisite: Instructor permission.
Discusses the technology of modern
composite materials including basic principles, mechanics, reinforcements, mechanical
properties and fracture
characteristics, fabrication techniques, and applications. Emphasizes high
performance filamentary reinforced materials. Discusses the principles of chemical
vapor
deposition and the application of this technology to the area of composite
materials.
MSE 771  (3) (SI)
Advanced Electrochemistry
A highly specialized course detailing specific subject matter in the
areas of corrosion of stainless steel, cyclic voltammetry, and the adsorption
of hydrogen on and diffusion of hydrogen through Palladium. Associated experimental
methods are discussed.
MSE 791, 792  (3) (SI)
Advanced Topics in Materials Science
Prerequisite: Permission of the staff.
An advanced level study of special
subjects related to developments in materials science under the direction of
members of the staff. Offered as
required.
MSE 793  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent
basis under the guidance of a faculty member.
MSE 795  (Credit as arranged) (S)
Supervised Project Research
Formal record of student commitment to project research for
Doctor of Philosophy degree under the guidance of a faculty advisor. May be
repeated as necessary.
MSE 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
MSE 898  (Credit as arranged) (S)
Thesis
Formal record of student commitment to master’s thesis
research under the guidance of a faculty advisor. May be repeated as necessary.
MSE 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
MSE 999  (Credit as arranged) (S)
Dissertation
Formal record of student commitment to doctoral research under
the guidance of a faculty advisor. May be repeated as necessary.
Mechanical and Aerospace Engineering
Listed prerequisites represent ordinary and reasonable preparation.
Equivalent preparation is acceptable. Enrollment without prerequisites is allowed
with instructor’s permission.
Graduate students in Mechanical and Aerospace Engineering often
take courses in applied mathematics and other engineering and science departments.
MAE 602  (3) (Y)
Continuum Mechanics with Applications
Introduction to continuum mechanics and mechanics of deformable
solids. Topics include Vectors and cartesian tensors, stress, strain, deformation,
equations of motion, constitutive laws, introduction to elasticity, thermal
elasticity, viscoelasticity, plasticity, and fluids. Crosslisted as AM 602,
APMA 602, and CE 602.
MAE 603  (3) (IR)
Computational Solid Mechanics
Prerequisite: MAE 602.
Analyzes variational and computational mechanics
of solids; potential energy; complementary energy; virtual work; Reissner’s
principle; Ritz and Galerkin methods; displacement; force and mixed methods of
analysis;
finite element analysis including shape functions, convergence, and integration.
Applications in solid mechanics. Crosslisted as AM 603 and CE 603.
MAE 604  (3) (O)
Plates and Shells
Prerequisite: APMA 641, AM 601 or AM 602.
Topics include the classical
analysis of plates and shells; plates of various shapes (rectangular, skew) and
shells of various shapes (cylindrical,
conical, spherical, hyperbolic, paraboloid); closedform numerical and approximate
methods of solution governing partial differential equations; and advanced topics
(large deflection theory, thermal stresses, orthotropic plates). Crosslisted
as AM 604 and CE 604.
MAE 607  (3) (E)
Theory of Elasticity
Prerequisite: AM 602 or instructor permission.
Review of the concepts
of stress, strain, equilibrium, compatibility; Hooke’s law (isotropic materials); displacement and stress formulations
of elasticity problems; plane stress and strain problems in rectangular coordinates
(Airy’s stress function approach); plane stress and strain problems in
polar coordinates, axisymmetric problems; torsion of prismatic bars (semiinverse
method using real function approach); thermal stress; and energy methods. Crosslisted
as AM 607 and CE 607.
MAE 608  (3) (E)
Constitutive Modeling of Biosystems
Prerequisite: Continuum Mechanics.
The course covers stateoftheart
mechanical models to describe the constitutive behavior of hard and soft tissues
with emphasis on biological
form following physiological function. The course will cover linear and nonlinear
elasticity, viscoelasticity, poroelasticity, and biphasic constitutive relations
in the context of biological systems and will include the dependence of macroscopic
behavior and properties on material microstructure.
MAE 610  (3) (Y)
Thermomechanics
Prerequisite: Graduate standing.
Review of classical thermodynamics;
introduction to kinetic theory; quantum mechanical analysis of atomic and molecular
structure; statistical
mechanical evaluation of thermodynamic properties; chemical thermodynamics
and equilibria.
MAE 611  (3) (Y)
Heat and Mass Transport Phenomena
Prerequisite: Undergraduate fluid mechanics or instructor
permission.
Fundamentals of conduction and convection heat and mass transfer.
Derivation and application of conservation equations for heat and mass transfer
in laminar and turbulent flows. Steady, unsteady and multidimensional transport.
Applications to free and confined flows in forced, natural and mixed convection
regimes. Phase change problems with moving boundaries, condensation and evaporation.
High speed flows.
MAE 612  (3) (E)
Microscale Heat Transfer
Prerequisite: MAE 610.
This course will begin with a study of the fundamental
microscopic energy carriers (definitions, properties, energy levels and disruptions
of photons,
phonons, and electrons.) Transport of energy will then be investigated with
an emphasis on microscale effects in space and in time. The approaches used
to describe microscale heat transportation differ significantly from the macroscopic
phenomenological approaches and include new physical mechanisms. They often
involve solution of the Boltzman transport equation and the equation of phonon
radiative transfer. These approaches will be introduced with an emphasis on
ultrashort time scale heating and ultralow temperatures.
MAE 613  (3) (E)
Kinetic Theory and Transport Properties
Prerequisite: MAE 610 or instructor permission.
Derivation of Boltzmann
equation; Molecular derivation of NavierStokes equations; dynamics of molecular
collisions; ChapmanEnskog solution of Boltzmann
equation; transport properties of gases; analyses of shock structure, flows
with chemical reactions, radiative nonequilibrium, rarefied gases, etc.
MAE 616  (3) (IR)
Advanced Thermodynamics
Prerequisite: Instructor permission.
Analyzes basic concepts, postulates,
and relationships of classical thermodynamics; thermodynamics potentials and
derivatives; energy minimum and
entropy maximum principle; generalized Maxwell relations; stability considerations;
phase transitions; application to perfect and imperfect systems; and extension
to chemically reacting and solid systems.
MAE 620  (3) (IR)
Energy Principles in Mechanics
Prerequisite: Instructor permission.
Analyzes the derivation, interpretation,
and application to engineering problems of the principles of virtual work and
complementary virtual
work; related theorems, such as the principles of the stationary value of the
total potential and complementary energy, Castigliano’s Theorems, theorem
of least work, and unit force and displacement theorems. Introduces generalized,
extended, mixed, and hybrid principles; variational methods of approximation,
Hamilton’s principle, and Lagrange’s equations of motion; and approximate
solutions to problems in structural mechanics by use of variational theorems.
Crosslisted as AM 620 and CE 620.
MAE 621  (3) (Y)
Analytical Dynamics
Prerequisite: Undergraduate physics, ordinary differential
equations.
Classical analytical dynamics from a modern mathematical viewpoint:
Newton’s laws, dynamical variables, many particle systems; the Lagrangian
formulation, constraints and configuration manifolds, tangent bundles, differential
manifolds; variational principles, least action; nonpotential forces; constrained
problems; linear oscillations; Hamiltonian formulation: canonical equations,
Rigid body motion. Crosslisted as AM 621.
MAE 622  (3) (O)
Waves
Prerequisite: MAE/AM 602 or equivalent.
The topics covered are: plane
waves; d’Alembert solution;
method of characteristics; dispersive systems; wavepackets; group velocity;
fullydispersed waves; Laplace, Stokes, and steepest descents integrals; membranes,
plates and planestress waves; evanescent waves; Kirchhoff’s solution;
Fresnel’s principle; elementary diffraction; reflection and transmission
at interfaces; waveguides and ducted waves; waves in elastic halfspaces; P,
S, and Rayleigh waves; layered media and Love waves; slowlyvarying media and
WKBJ method; Timedependent response using FourierLaplace transforms; some
nonlinear water waves. Crosslisted as AM 622.
MAE 623  (3) (Y)
Vibrations
Prerequisite: Instructor permission.
Topics include free and forced
vibrations of undamped and damped single and multidegreeoffreedom systems;
modal analyses; continuous systems;
matrix formulations; finite element equations; direct integration methods;
and eigenvalue solution methods. Crosslisted as AM 623 and CE 623.
MAE 624  (3) (E)
Nonlinear Dynamics and Waves
Prerequisite: Undergraduate ordinary differential equations
or instructor permission.
Introduces phasespace methods, elementary bifurcation
theory and perturbation theory, and applies them to the study of stability in
the contexts
of nonlinear dynamical systems and nonlinear waves, including free and forces
nonlinear vibrations and wave motions. Examples are drawn from mechanics and
fluid dynamics, and include transitions to periodic oscillations and chaotic
oscillations. Crosslisted as APMA 624.
MAE 625  (3) (O)
Multibody Mechanical Systems
Prerequisite: Engineering degree and familiarity with
a programming language.
Analytical and computational treatment for modeling
and simulation of 3Dimensional multibody mechanical systems. Provide a systematic
and consistent
basis for analyzing the interactions between motion constraints, kinematics,
static, dynamic, and control behavior of multibody mechanical systems. Applications
to machinery, robotic devices and mobile robots, biomechanical models for gait
analysis and human motions, and motion control. Matrix modeling procedures with
symbolic and numerical computational tools will be utilized for demonstrating
the methods developed in this course. Focus on the current research and computational
tools and examine a broad spectrum of physical systems where multibody behavior
is fundamental to their design and control.
MAE 631  (3) (Y)
Fluid Mechanics I
Prerequisite: MAE 602 and APMA/MAE 641.
The topics covered are: dimensional
analysis; physical properties of fluids; kinematic descriptions of flow; streamlines,
path lines and streak
lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler
and Bernoulli equations; irrotational potential flow; exact solutions to the
NavierStokes equation; effects of viscosity  high and low Reynolds numbers;
waves in incompressible flow; hydrodynamic stability. Crosslisted as AM 631.
MAE 632  (3) (E)
Fluid Mechanics II
Prerequisite: MAE 631.
The topics covered are: thin wing theory; slenderbody
theory; threedimensional wings in steady subsonic and supersonic flows; drag
at supersonic
speeds; drag minimization; transonic smalldisturbance flow; unsteady flow;
properties and modeling of turbulent flows. Crosslisted as AM 632.
MAE 633  (3) (IR)
Lubrication Theory and Design
Prerequisite: Instructor permission.
Topics include the hydrodynamic
theory of lubrication for an incompressible fluid; design principles of bearings:
oil flow, loadcarrying
capacity, temperature rise, stiffness, damping properties; influence of bearing
design upon rotating machinery; computer modeling methods; and applications
to specific types.
MAE 634  (3) (O)
Transport Phenomena in Biological Systems
Prerequisite: Introductory fluid mechanics and/or heat
or mass transfer, or instructor permission.
Fundamentals of momentum, energy
and mass transport as applied to complex biological systems ranging from the
organelles in cells to whole
plants and animals and their environments. Derivation of conservation laws
(momentum, heat and mass), constitutive equations, and auxiliary relations. Applications
of theoretical equations and empirical relations to model and predict the characteristics
of diffusion and convection in complex biological systems and their environments.
Emphasis placed on the biomechanical understanding of these systems through
the construction of simplified mathematical models amenable to analytical,
numerical or statistical formulations and solutions, including the identification
and
quantification of model uncertainties.
MAE 636  (3) (IR)
Gas Dynamics
Prerequisite: MAE 610.
Analyzes the theory and solution methods applicable
to multidimensional compressible inviscid gas flows at subsonic, supersonic,
and hypersonic speeds;
similarity and scaling rules from smallpetrurbation theory, introduction to
transonic and hypersonic flows; methodofcharacteristics applications to nozzle
flows, jet expansions, and flows over bodies one dimensional nonsteady flows;
properties of gases in thermodynamic equilibrium, including kinetictheory,
chemicalthermodynamics, and statisticalmechanics considerations; dissociation
and ionization process; quasiequilibrium flows; and introduction to nonequilibrium
flows.
MAE 637  (3) (IR)
Singular Perturbation Theory
Prerequisite: Familiarity with complex analysis.
Analyzes regular perturbations,
roots of polynomials; singular perturbations in ODE’s, periodic solutions of simple nonlinear differential
equations; multipleScales method; WKBJ approximation; turningpoint problems;
Langer’s method of uniform approximation; asymptotic behavior of integrals,
Laplace Integrals, stationary phase, steepest descents. Examples are drawn
from
physical systems. Crosslisted with APMA 637.
MAE 641  (3) (Y)
Engineering Mathematics I
Prerequisite: Graduate standing.
Review of ordinary differential equations.
Initial value problems, boundary value problems, and various physical applications.
Linear algebra,
including systems of linear equations, matrices, eigenvalues, eigenvectors,
diagonalization, and various applications. Scalar and vector field theory, including
the divergence theorem, Green’s theorem, and Stokes theorem, and various
applications. Partial differential equations that govern physical phenomena
in science and engineering. Solution of partial differential equations by separation
by variables, superposition, Fourier series, variation of parameter, d’Alembert’s
solution. Eigenfunction expansion techniques for nonhomogeneous initialvalue,
boundaryvalue problems. Particular focus on various physical applications
of
the heat equation, the potential (Laplace) equation, and the wave equations
in rectangular, cylindrical, and spherical coordinates. Crosslisted as APMA
641.
MAE 642  (3) (Y)
Engineering Mathematics II
Prerequisite: Graduate standing and APMA/MAE 641 or
equivalent.
Further and deeper understanding of partial differential equations
that govern physical phenomena in science and engineering. Solution of linear
partial differential equations by eigenfunction expansion techniques. Green’s
functions for timeindependent and timedependant boundary value problems. Fourier
transform methods, and Laplace transform methods. Solution of variety of initialvalue,
boundaryvalue problems. Various physical applications. Study of complex variable
theory. Functions of complex variable, the complex integral calculus, Taylor
series, Laurent series, and the residue theorem, and various applications.
Serious work and efforts in the further development of analytical skills and
response.
Crosslisted as APMA 642.
MAE 643  (3) (Y)
Statistics for Engineers and Scientists
Prerequisite: Admission to graduate studies or instructor
permission.
Role of statistics in science, hypothesis tests of significance,
confidence intervals, design of experiments, regression, correlation analysis,
analysis of variance, and introduction to statistical computing with statistical
software libraries. Crosslisted as APMA 643.
MAE 644  (3) (IR)
Applied Partial Differential Equations
Prerequisite: APMA/MAE 641 or equivalent.
Includes first order partial
differential equations (linear, quasilinear, nonlinear); classification of equations
and characteristics; and
wellposedness of initial and boundary value problems. Crosslisted as APMA
644.
MAE 651  (3) (Y)
Linear Automatic Control Systems
Prerequisite: Instructor permission.
Studies the dynamics of linear,
closedloop systems. Analysis of transfer functions; stability theory; time response,
frequency response;
robustness; and performance limitations. Design of feedback controllers. Crosslisted
as ECE 621.
MAE 652  (3) (Y)
Linear State Space Systems
Prerequisite: Graduate standing.
A comprehensive treatment of the theory
of linear state space systems, focusing on general results which provide a conceptual
framework as
well as analysis tools for investigation in a wide variety of engineering contexts.
Topics include vector spaces, linear operators, functions of matrices, state
space description, solutions to state equations (time invariant and time varying),
state transition matrices, system modes and decomposition, stability, controllability
and observability, Kalman decomposition, system realizations, grammians and
model reduction, state feedback, and observers. Crosslisted as SYS 612 and
ECE 622.
MAE 662  (3) (IR)
Mechanical Design Analysis
Prerequisite: Undergraduate mechanical design or instructor
permission.
Topics include the design analysis of machine elements subject
to complex loads and environments; emphasis on modern materials and computer
analysis; theory of elasticity, energy methods; failure theories, fracture,
fatigue, creep; contact, residual, and thermal stresses; experimental stress
analysis; and corrosion.
MAE 668  (3) (Y)
Advanced Machine Technologies
Prerequisite: MAE 665 and 667.
Studies new technologies for machine
automation, including intelligent machines, robotics, machine vision, image processing,
and artificial
intelligence. Emphasis on computer control of machines; intelligent automatic
control systems; and distributed networks. Focuses on research problems in each
of these areas.
MAE 671  (3) (Y)
Finite Element Analysis
Prerequisite: MAE/AM 602 or equivalent.
The topics covered are: review
of vectors, matrices, and numerical solution techniques; discrete systems; variational
formulation and approximation
for continuous systems; linear finite element method in solid mechanics; formulation
of isoparametric finite elements; finite element method for field problems,
heat transfer, and fluid dynamics. Crosslisted as AM 671.
MAE 672  (3) (E)
Computational Fluid Dynamics I
Prerequisite: MAE 631 or instructor permission.
Includes the solution
of flow and heat transfer problems involving steady and transient convective
and diffusive transport; superposition and panel
methods for inviscid flow, finitedifference methods for elliptic, parabolic
and hyperbolic partial differential equations, elementary grid generation for
odd geometries, primitive variable and vorticitysteam function algorithms for
incompressible, multidimensional flows. Extensive use of personal computers/workstations,
including interactive graphics. Crosslisted as APMA 672.
MAE 685  (3) (E)
Measurement Theory and Advanced
Instrumentation
Prerequisite: Undergraduate electrical science.
Studies the theory
and practice of modern measurement and measurement instrumentation; statistical
analysis of data; estimation of errors and uncertainties;
operating principles and characteristics of fundamental transducers and sensors;
common electrical circuits and instruments; and signal processing methods.
MAE 687  (3) (IR)
Applied Engineering Optics
Prerequisite: PHYS 241E.
Analyzes modern engineering optics and methods;
fundamentals of coherence, diffraction interference, polarization, and lasing
processes;
fluid mechanics, heat transfer, stress/strain, vibrations, and manufacturing
applications; laboratory practice: interferometry, schlieren/shadowgraph, and
laser velocimetry.
MAE 692  (3) (Y)
Special Topics in Mechanical and Aerospace Science: Intermediate Level
Study of a specialized, advanced, or exploratory topic relating
to mechanical or aerospace engineering science, at the firstgraduatecourse
level. May be offered on a seminar or a teamtaught basis. Subjects selected
according to faculty interest. New graduate courses are usually introduced in
this form. Specific topics and prerequisites are listed in the Course Offering
Directory.
MAE 693  (3) (Y)
Independent Study in Mechanical or Aerospace Science: Intermediate Level
Independent study of firstyear graduate level material under
the supervision of a faculty member. Students must petition the department Graduate Studies Committee before taking MAE 693.
MAE 694  (Credit as arranged) (Y)
Special Graduate Project in Mechanical or Aerospace Engineering: FirstYear
Level
A design or research project for a firstyear graduate student
under the supervision of a faculty member. A written report must be submitted
and an oral report presented. Up to three credits from either this course or
MAE 794 may be applied toward the master’s degree. Students must petition the department Graduate Studies Committee before taking MAE 694.
MAE 703  (3) (E)
Injury Biomechanics
Prerequisite: MAE 608.
This is an advanced applications course on the
biomechanical basis of human injury and injury modeling. The course covers the
etiology of
human injury and stateoftheart analytic and synthetic mechanical models
of human injury. The course will have a strong focus on modeling the risk of
impact
injuries to the head, neck, thorax, abdomen and extremities. The course will
explore the biomechanical basis of widely used and proposed human injury criteria
and will investigate the use of these criteria with simplified dummy surrogates
to assess human injury risk. Brief introductions to advanced topics such as
human biomechanical variation with age and sex, and the biomechanics of injury
prevention will be presented based on current research and the interests of
the students.
MAE 715  (3) (IR)
Combustion
Prerequisite: Undergraduate thermodynamics and MAE 631,
or instructor permission.
Reviews chemical thermodynamics, including conservation
laws, perfect gas mixtures, combustion chemistry and chemical equilibrium; finiterate
chemical kinetics; conservation equations for multicomponent reacting systems;
detonation and deflagration waves in premixed gases; premixed laminar flames;
gaseous diffusion flames and droplet evaporation; introduction to turbulent
flames; chemicallyreacting boundarylayer flows; ignition; applications to
practical problems in energy systems, aircraft propulsion systems, and internal
combustion engines. Projects selected from topics of interest to the class.
MAE 753  (3) (O)
Optimal Dynamical Systems
Prerequisite: Two years of college mathematics, including
some linear and vector calculus. Classical and state spaced controls and undergraduate
design courses are recommended.
Introduces the concept of performance metrices
for dynamical systems and examines the optimization of performances over both
parameter and
function spaces. Discusses both the existence of optimal solutions to dynamic
problems and how these may be found. Such results provide via limits to performance
of dynamic systems, which delineate what can and cannot be achieved via engineering.
Constitutes a basis for more advanced study in design synthesis and optimal
control. Crosslisted as ECE 723.
MAE 755  (3) (E)
Multivariable Control
Prerequisite: MAE 652.
State space theories for linear control system
design have been developed over the last 40 years. Among those, H2 and Hinf control
theories
are the most established, powerful, and popular in applications. This course
focuses on these theories and shows why and how they work. Upon completion of
this course, student will be confident in applying the theories and will be
equipped with technical machinery that allows them to thoroughly understand
these theories and to explore new control design methods if desired in their
own research. More importantly, students will learn a fundamental framework
for optimal system design from a state perspective. Crosslisted as ECE 725.
MAE 756  (3) (E)
Nonlinear Control Systems
Prerequisite: ECE 621 or instructor permission.
Studies the dynamic
response of nonlinear systems; approximate analytical and graphical analysis
methods; stability analysis using the second
method of Liapunov, describing functions, and other methods; adaptive, learning,
and switched systems; examples from current literature. Crosslisted as ECE
726.
MAE 758  (3) (O)
Digital Control Systems
Prerequisite: MAE 652 or instructor permission.
Topics include sampling
processes and theorems, ztransforms, modified transforms, transfer functions,
stability criteria; analysis in both
frequency and time domains; discretestate models for systems containing digital
computers; and applications using small computers to control dynamic processes.
Crosslisted as ECE 728.
MAE 772  (3) (IR)
Computational Fluid Dynamics II
Prerequisite: MAE 672 or instructor permission.
A continuation of MAE
672. More advanced methods for grid generation, transformation of governing equations
for odd geometries, methods for compressible
flows, methods for parabolic flows, calculations using vector and parallel
computers. Use of personal computers/workstations/supercomputer, including graphics.
Crosslisted
as APMA 772.
MAE 791  (01) (S)
Research Seminar, Mechanical
and Aerospace Engineering: Master’s Students
Required onehour weekly
seminar for master’s students
in mechanical and aerospace and nuclear engineering. Students enrolled in MAE
898 or 694/794 make formal presentations of their work.
MAE 792  (3) (Y)
Special Topics in Mechanical or Aerospace Engineering Science: Advanced
Level
A specialized, advanced, or exploratory topic relating to mechanical
or aerospace engineering science, at the secondyear or higher graduate level.
May be offered on a seminar or teamtaught basis. Subjects selected according
to faculty interest. Topics and prerequisites are listed in the Course Offering
Directory.
MAE 793  (Usually three credits) (Y)
Independent Study in Mechanical or Aerospace Engineering Science: Advanced
Level
Independent study of advanced graduate material under the supervision
of a faculty member. Students must petition the department Graduate Studies Committee before taking MAE 793.
MAE 794  (Credit as arranged) (Y)
Special Graduate Project in Mechanical or Aerospace Engineering: Advanced
Level
A design or research project for an advanced graduate student
under the supervision of a faculty member. A written report must be submitted
and an oral report must be presented. Up to three credits of either this course
or MAE 694 may be applied toward the master’s degree. Students must petition the department Graduate Studies Committee before taking MAE 794.
MAE 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master’s students.
MAE 898  (112) (Y)
Master’s Thesis Research,
Mechanical and Aerospace Engineering
Formal documentation of faculty supervision of thesis research.
Each fulltime, resident Master of Science student in mechanical and aerospace
engineering is required to register for this course for the number of credits
equal to the difference between his or her regular course load (not counting
the onecredit MAE 791 seminar) and 12.
MAE 991  (01) (S)
Research Seminar, Mechanical and Aerospace Engineering: Doctoral Students
Required onehour weekly seminar for doctoral students in mechanical,
aerospace, and nuclear engineering. Students enrolled in MAE 999 may make formal
presentations of their work.
MAE 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
MAE 999  (112) (Y)
Dissertation Research, Mechanical and Aerospace Engineering
Formal documentation of faculty supervision of dissertation
research. Each fulltime resident doctoral student in mechanical and aerospace
engineering is required to register for this course for the number of credits
equal to the difference between his or her regular course load (not counting
the onecredit MAE 991 seminar) and 12.
Systems and Information Engineering
SYS 601  (3) (Y)
Introduction to Systems Engineering
Prerequisite: Admission to the graduate program.
An integrated introduction to systems methodology, design, and management. An overview of systems engineering as a professional and intellectual discipline, and its relation to other disciplines, such as operations research, management science, and economics. An introduction to selected techniques in systems and decision sciences, including mathematical modeling, decision analysis, risk analysis, and simulation modeling. Elements of systems management, including decision styles, human information processing, organizational decision processes, and information system design for planning and decision support. Emphasizes relating theory to practice via written analyses and oral presentations of individual and group case studies.
SYS 602  (3) (Y)
Systems Integration
Prerequisite: SYS 601 or instructor permission.
Provides an introduction to the problems encountered when integrating large systems, and also presents a selection of specific technologies and methodologies used to address these problems. Includes actual casestudies to demonstrate systems integration problems and solutions. A term project is used to provide students with the opportunity to apply techniques for dealing with systems integration.
SYS 603  (3) (Y)
Mathematical Programming
Prerequisite: Two years of college mathematics, including linear algebra, and the ability to write computer programs.
Presents the foundations of mathematical modeling and optimization; taxonomy of mathematical modeling and optimization; building blocks of mathematical models and the centrality of state variables; optimality conditions in mathematical programming:
convexity, Lagrangian function, necessary and sufficient conditions for optimality;
nonlinear optimization: derivation of the KuhnTucker conditions for optimality; necessary conditions and the regularity conditions for non linear systems; the centrality of the KuhnTucker conditions in multiobjective optimization and tradeoff analysis; the epsilonconstrained formulation; the Surrogate Worth TradeOff (SWT) method in multiobjective optimization; linear programming: derivation of the dual function from the KuhnTucker conditions; derivation of the complementary slackness theorem; the simplex algorithm; Leontief inputoutput optimization model; quadratic programming; dynamic programming: Bellman's principle of optimality, resource allocation problems, and inventory control problems; Bayesian dynamic programming; hierarchical decomposition: feasible and nonfeasible decompositions.
SYS 605  (3) (Y)
Stochastic Systems
Prerequisite: APMA 310, 312, or equivalent background in applied probability and statistics.
Covers basic stochastic processes with emphasis on model building and probabilistic reasoning. The approach is nonmeasure theoretic but otherwise rigorous. Topics include a review of elementary probability theory with particular attention to conditional expectations; Markov chains; optimal stopping; renewal theory and the Poisson process; martingales. Applications are considered in reliability theory, inventory theory, and queuing systems.
SYS 609  (3) (IR)
The Art and Science of Systems Modeling
Focuses on learning and practicing the art and science of systems modeling through diverse case studies. Topics span the modeling of discrete and continuous, static and dynamic, linear and nonlinear, and deterministic and probabilistic systems. Two major dimensions of systems modeling are discussed and their efficacy is demonstrated: Dimension I: The building blocks of mathematical models and the centrality of the state variables in systems modeling, including: state variables, decision variables, random variables, exogenous variables, inputs and outputs, objective functions, and constraints. Dimension II: Effective tools in systems modeling, including: multiobjective models, influence diagrams, event trees, systems identification and parameter estimation, hierarchical holographic modeling, and dynamic programming.
SYS 612  (3) (IR)
Dynamic Systems
Prerequisite: APMA 213 or equivalent.
Introduces modeling, analysis, and control of dynamic systems, using ordinary differential and difference equations. Emphasizes the properties of mathematical representations of systems, the methods used to analyze mathematical models, and the translation of concrete situations into appropriate mathematical forms. Primary coverage includes ordinary linear differential and difference equation models, transform methods and concepts from classical control theory, statevariable methods and concepts from modern control theory, and continuous system simulation. Applications are drawn from social, economic, managerial, and physical systems. Crosslisted as MAE 652.
SYS 613  (3) (IR)
Applied Multivariate Statistics
Prerequisite: SYS 605, SYS 618, or STAT 512.
This course covers the major methods for multivariate data analysis. Topics include multivariate Gaussian distribution, multivariate regression, MANOVA, principal components, factor analysis, canonical correlation, structure equation models, discriminant analysis, and logistic regression. The course illustrates the use of these methods using modern statistical software. Crosslisted as STAT 513.
SYS 614  (3) (Y)
Decision Analysis
Prerequisite: SYS 603, 605, or equivalent.
Principles and procedures of decisionmaking under uncertainty and with multiple objectives. Topics include representation of decision situations as decision trees, influence diagrams, and stochastic dynamic programming models; Bayesian decision analysis, subjective probability, utility theory, optimal decision procedures, value of information, multiobjective decision analysis, and group decision making.
SYS 616  (3) (Y)
KnowledgeBased Systems
A graduatelevel survey of artificial intelligence techniques with emphasis on their application to systems engineering problem solving. Topics include: informed and uninformed search; propositional and first order logic; and learning techniques such as Bayes nets, reinforcement learning and neural networks. Students are required to have sufficient computational background to complete several substantive programming assignments. Crosslisted as CS 616.
SYS 618  (3) (Y)
Data Mining
Prerequisite: SYS 605 or STAT 512.
Data mining describes approaches to turning data into information. Rather than the more typical deductive strategy of building models using known principles, data mining uses inductive approaches to discover the appropriate models. These models describe a relationship between a system's response(s) and a set of factors or predictor variables. Data mining in this context provides a formal basis for machine learning and knowledge discovery. This course investigates the construction of empirical models from data mining for systems with both discrete and continuous valued responses. It covers both estimation and classification, and explores both practical and theoretical aspects of data mining.
SYS 623  (3) (Y)
Cognitive Systems Engineering
Introduces the field of cognitive systems engineering, which seeks to characterize and support humansystems integration in complex systems environments. Covers key aspects of cognitive human factors in the design of information support systems. Reviews human performance (memory, learning, problemsolving, expertise and human error); characterizes human performance in complex, sociotechnical systems, including naturalistic decision making and team performance; reviews different types of decision support systems, with a particular focus on representation aiding systems; and covers the humancentered design process (task analysis, knowledge acquisition methods, product concept, functional requirements, prototype, design, and testing).
SYS 634  (3) (Y)
DiscreteEvent Stochastic Simulation
Prerequisite: A first course in probability and statistics
A first graduate course on the theory and practice of discreteevent simulation. Coverage includes Monte Carlo methods and spreadsheet applications, generating random numbers and variates, sampling distributions, the dynamics of discreteevent stochastic systems, simulation logic and computational issues, specifying input probability distributions, output analysis, comparing simulated alternatives, model verification and validation, and simulation optimization. Applications in manufacturing, transportation, communication, computer, healthcare, and service systems.
SYS 650  (3) (Y)
Risk Analysis
Prerequisite: APMA 310, SYS 321, or equivalent.
A study of technological systems, where decisions are made under conditions of risk and uncertainty. Part I: Conceptualization: the nature of risk, the perception of risk, the epistemology of risk, and the process of risk assessment and management. Part II: Systems engineering tools for risk analysis: basic concepts in probability and decision analysis, event trees, decision trees, and multiobjective analysis. Part III: Methodologies for risk analysis: hierarchical holographic modeling, uncertainty taxonomy, risk of rare and extreme events, statistics of extremes, partitioned multiobjective risk method, multiobjective decision trees, fault trees, multiobjective impact analysis method, uncertainty sensitivity index method, and filtering, ranking, and management method. Case studies.
SYS 654  (3) (Y)
Financial Engineering
Prerequisite: SYS 603 or equivalent graduatelevel optimization course. Students need not have any background in finance or investment.
Provides an introduction to basic topics in finance from an engineering and modeling perspective. Topics include the theory of interest, capital budgeting, valuation of firms, futures and forward contracts, options and other derivatives, and practical elements of investing and securities speculation. Emphasis is placed on the development and solution of mathematical models for problems in finance, such as capital budgeting, portfolio optimization, and options pricing; also predictive modeling as it is applied in credit risk management. One of the unique features of this course is a stock trading competition hosted on www.virtualstockexchange.com or a similar site.
SYS 664  (3)
Applied Human Factors Engineering
This topic covers principles of human factors engineering, understanding and designing systems that take into account human capabilities and limitations from cognitive, physical, and social perspectives. Models of human performance and humanmachine interaction are covered as well as methods of design and evaluation.
SYS 670  (3) (Y)
Environmental Systems Analysis
Prerequisite: CHEM 152, PHYS 241.
This course focuses on the infrastructure for the provision of drinking water, wastewater/sewage, and solid waste management services in the context of the environmental systems in which they are embedded and the institutional framework within which they must operate. It begins with coverage of the infrastructure design, operation, and maintenance, proceeds to a treatment of the concept of integrated sanitation systems, and then considers the major environmental issues relevant to these services, including global worming, tropospheric and stratospheric ozone, and hazardous waste. It progresses to a study of the common tools in environmental systems analysis: lifecycle assessment, environmental economics, mass and energy balances, benefitcost analysis, risk analysis, and environmental forecasting. Includes an analysis of the global picture of water and sanitation service availability and closes with the relevance of this issue to sustainable development.
SYS 674  (3) (Y)
Total Quality Engineering
Prerequisite: Basic statistics or instructor permission.
Comprehensive study of quality engineering techniques; characterization of Total Quality Management philosophy and continuous improvement tools; statistical monitoring of processes using control charts; and process improvement using experimental design.
SYS 681, 682  (3) (IR)
Selected Topics in Systems Engineering
Detailed study of a selected topic, determined by the current interest of faculty and students. Offered as required.
SYS 693  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent basis under the guidance of a faculty member.
SYS 695  (Credit as arranged) (S)
Supervised Project Research
Formal record of student commitment to project research under the guidance of a faculty advisor. Registration may be repeated as necessary.
SYS 702  (3) (SS)
Case Studies in Systems Engineering
Prerequisite: SYS 601, 603, and 605.
Under faculty guidance, students apply the principles of systems methodology, design, and management along with the techniques of systems and decision sciences to systems analysis and design cases. Primary goal is the integration of numerous concepts from systems engineering using realworld cases. Focuses on presenting, defending, and discussing systems engineering projects in a typical professional context. Cases span a broad range of applicable technologies and involve the formulation of the issues, modeling of decision problems, analysis of the impact of proposed alternatives, and interpretation of these impacts in terms of the client value system. Cases are extracted from actual government, industry, and business problems.
SYS 705  (3) (Y)
Advanced Stochastic Processes
Prerequisite: SYS 605 or equivalent.
Provides a nonmeasure theoretic treatment of advanced topics in the theory of stochastic processes, focusing particularly on denumerable Markov processes in continuous time and renewal processes. The principal objective of the course is to convey a deep understanding of the main results and their proofs, sufficient to allow the students to make theoretical contributions to engineering research.
SYS 716  (3) (Y)
Artificial Intelligence
Prerequisite: SYS 616 or CS 616.
Indepth study of major areas considered to be part of artificial intelligence. In particular, detailed coverage is given to the design considerations involved in automatic theorem proving, natural language understanding, and machine learning. Crosslisted as CS 716.
SYS 721  (3) (IR)
Research Methods in Systems Engineering
Corequisite: SYS 601, 603, 605, or equivalent.
Study of the philosophy, theory, methodology, and applications of systems engineering provides themes for this seminar in the art of reading, studying, reviewing, critiquing, and presenting scientific and engineering research results. Applications are drawn from water resources, environmental, industrial and other engineering areas. Topics discussed and papers reviewed are selected at the first meeting. Throughout the semester, students make a onehour presentation of their chosen paper, followed by a one and onehalf hour discussion, critique, evaluation, and conclusions regarding the topic and its exposition.
SYS 730  (3) (IR)
Time Series Analysis and Forecasting
Prerequisite: SYS 605 or equivalent.
An indepth study of time series analysis and forecasting models from a statistical and engineering perspective. Emphasizes the process of stochastic model building including model identification, estimation, and model diagnostic checking. Topics include smoothing and filtering, ARIMA models, frequency domain analysis, and vector processes.
SYS 734  (3) (IR)
Advanced System Simulation
Prerequisite: SYS 605, 634, or equivalent.
Seminar on contemporary topics in discreteevent simulation. Topics are determined by student and faculty interests and may include model and simulation theory, validation, experiment design, output analysis, variancereduction techniques, simulation optimization, parallel and distributed simulation, intelligent simulation systems, animation and output visualization, and application domains. Term project.
SYS 742  (3) (IR)
Heuristic Search
Prerequisite: SYS 605 or instructor permission.
Characterization and analysis of problem solving strategies guided by heuristic information. The course links material from optimization, intelligence systems, and complexity analysis. Formal development of the methods and complete discussion of applications, theoretical properties, and evaluation. Methods discussed include bestfirst strategies for OR and AND/OR graphs, simulated annealing, genetic algorithms and evolutionary programming, tabu search, and tailored heuristics. Applications of these methods to engineering design, scheduling, signal interpretation, and machine intelligence.
SYS 750  (3) (IR)
Risk Analysis
Prerequisite: APMA 310, SYS 321, or equivalent.
A study of technological systems, where decisions are made under conditions of risk and uncertainty. Part I: Conceptualization: the nature of risk, the perception of risk, the epistemology of risk, and the process of risk assessment and management. Part II: Systems engineering tools for risk analysis: basic concepts in probability and decision analysis, event trees, decision trees, and multiobjective analysis. Part III: Methodologies for risk analysis: hierarchical holographic modeling, uncertainty taxonomy, risk of rare and extreme events, statistics of extremes, partitioned multiobjective risk method, multiobjective decision trees, fault trees, multiobjective impact analysis method, uncertainty sensitivity index method, and filtering, ranking, and management method. Case studies.
SYS 752  (3) (IR)
Sequential Decision Processes
Prerequisite: SYS 605, 614, or equivalent.
Topics include stochastic sequential decision models and their applications; stochastic control theory; dynamic programming; finite horizon, infinite horizon models; discounted, undiscounted, and average cost models; Markov decision processes, including stochastic shortest path problems; problems with imperfect state information; stochastic games; computational aspects and suboptimal control, including neurodynamic programming; examples: inventory control, maintenance, portfolio selection, optimal stopping, water resource management, and sensor management.
SYS 754  (3) (IR)
Multiobjective Optimization
Prerequisite: SYS 603, 614, or equivalent.
Analyzes the theories and methodologies for optimization with multiple objectives under certainty and uncertainty; structuring of objectives, selection of criteria, modeling and assessment of preferences (strength of preference, risk attitude, and tradeoff judgments); vector optimization theory and methods for generating nondominated solutions. Methods with prior assessment of preferences, methods with progressive assessment of preferences (iterativeinteractive methods), methods allowing imprecision in preference assessments; group decision making; building and validation of decisionaiding systems.
SYS 763  (3) (IR)
Response Surface Methods
Prerequisite: SYS 601, 605, and 674, or instructor permission.
Response surface methods provide process and design improvement through the collection and analysis of data from controlled experimentation. This course investigates the construction of response models for systems with discrete and continuous valued responses. The course will cover design of experiments for optimization and methods for building and using response surfaces from simulation, known as simulationoptimization.
SYS 770  (3) (IR)
Sequencing and Scheduling
Prerequisite: SYS 603, 605, or equivalent.
A comprehensive treatment of scheduling theory and practice. The formal machinescheduling problem: assumptions, performance measures, job and flow shops, constructive algorithms for special cases, disjunctive and integer programming formulations, branchandbound and dynamic programming approaches, computational complexity and heuristics. Includes alternative scheduling paradigms and scheduling philosophies and software tools in modern applications.
SYS 775  (3) (IR)
ForecastDecision Systems
Prerequisite: SYS 605, 614, or equivalent.
Presents the Bayesian theory of forecasting and decision making; judgmental and statistical forecasting, deterministic and probabilistic forecasting, postprocessors of forecasts; sufficient comparisons of forecasters, verification of forecasts, combining forecasts; optimal and suboptimal decision procedures using forecasts including static decision models, sequential decision models, stoppingcontrol models; economic value of forecasts; communication of forecasts; and the design and evaluation of a total forecastdecision system.
SYS 781, 782  (3) (IR)
Advanced Topics in Systems Engineering
Detailed study of an advanced or exploratory topic determined by faculty and student interest. Offered as required.
SYS 793  (Credit as arranged) (S)
Independent Study
Detailed study of graduate course material on an independent basis under the guidance of a faculty member.
SYS 796  (1) (S)
Systems Engineering Colloquium
Regular meeting of graduate students and faculty for presentation and discussion of contemporary systems problems and research. Offered for credit each semester. Registration may be repeated as necessary.
SYS 895  (Credit as arranged) (S)
Supervised Project Research
Formal record of student commitment to project research for Master of Engineering degree under the guidance of a faculty advisor. Registration may be repeated as necessary.
SYS 897  (Credit as arranged) (S)
Graduate Teaching Instruction
For master's students.
SYS 898  (Credit as arranged) (S)
Thesis
Formal record of student commitment to master's research under the guidance of a faculty advisor. Registration may be repeated as necessary.
SYS 997  (Credit as arranged) (S)
Graduate Teaching Instruction
For doctoral students.
SYS 999  (Credit as arranged) (S)
Dissertation
