Introduction Program Descriptions Faculty 
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.
See Mechanical and Aerospace
Engineering.
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.
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.
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.
Linear Algebra
Prerequisite: Three
years of college mathematics or instructor permission.
Analyzes systems of linear equations;
least squares procedures for solving overdetermined 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.
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.
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.
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.
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.
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.
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.
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.
Special Topics in Applied Mathematics
Prerequisite: Instructor
permission.
Topics vary from year to year
and are selected to fill special needs of graduate students.
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.
Independent Study
Detailed study of graduatelevel
material on an independent basis under the guidance of a faculty member.
Supervised Project Research
Formal record of student commitment
to project research under the guidance of a faculty advisor. May be
repeated as necessary.
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.
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.
Nonlinear Elasticity Theory
Prerequisite: AM/APMA
602.
Describes the theory of finite
(nonlinear) elasticity governing large deformations of highly deformable
elastic solids. Emphasizes new features not present in the linear theory,
including instabilities (both material and geometric), normal stress
effects, nonuniqueness, bifurcations, and stress singularities. A variety
of illustrative boundary value problems that exhibit some of the foregoing
features are discussed. Both physical and mathematical implications
are 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 AM 714.
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.
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.
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.
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.
Independent Study
Detailed study of advanced graduatelevel
material on an independent basis under the guidance of a faculty member.
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.
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.
Graduate Teaching Instruction
For master's students.
Thesis
Formal record of student commitment
to master's thesis research under the guidance of a faculty advisor.
Registration may be repeated as necessary.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. May be
repeated as necessary.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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 orthopaedics and rehabilitation. Crosslisted
as BIOM 628.
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.
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.
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.
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.
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.
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.
Special Problems in Applied
Mechanics
Detailed study of special topics
in mechanics.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
Supervised Project Research
Formal record of student commitment
to project research under guidance of a faculty advisor. Registration
may be repeated if necessary.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
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.
Graduate Teaching Instruction
For master's students.
Graduate Teaching Instruction
For doctoral students.
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.
Physiology and Pathophysiology
Prerequisite: BIOM 604 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.
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.
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.
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.
Special Topics in Biomedical
Engineering
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.
Fundamentals of Biophysical
Sciences
Prerequisite: BIOM
603, BIOM 628 or Fluid 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.
Biomedical Engineering Seminar
A seminar course in which selected
topics in biomedical engineering are presented by students, faculty
and guest investigators.
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.
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.
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.
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).
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.
Advanced Biomechanics
Prerequisite: BIOM
603 and MA 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.
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.
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.
Supervised Project Research
Graduate Teaching Instruction
For master's students.
Master's Research
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. May be
repeated as necessary.
Advanced Thermodynamics
Prerequisite: Undergraduatelevel
thermodynamics or instructor permission.
Development of the thermodynamic
laws and derived relations. Application of relations to properties of
pureand multicomponent systems at equilibrium in the gaseous, liquid,
and solidphases. Prediction and calculation of phase and reaction equilibria
in practical systems.
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.
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.
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.
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.
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.
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, purification techniques, and implications of recent
advances in molecular biology, genomics, and proteomics..
Polymer Chemistry and Engineering
Prerequisite: Instructor
permission.
Analysis of mechanisms
and kinetics of various polymerization reactions; relations between
the molecular structure and polymer properties, and the influence
of polymerization processing; fundamental concepts of polymer
solution and melt rheology; and application of these principles and
heat and mass transfer to polymer processing operations such as extrusion,
molding, and fiber spinning.
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.
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.
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.
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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
Graduate Seminar
Weekly meetings of graduate
students and faculty for presentations and discussion of research in
academic and industrial organizations. May be repeated.
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.
.
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.
Specialized Separation Processes
Prerequisite: Instructor
permission.
Less conventional separation
processes, such as chromatography, ionexchange, membranes, and crystallizationusing
indepth and modern chemical engineering methods. Student creativity
and participation through development and presentation of individual
course projects.
Special Topics in Chemical
Engineering
Prerequisite: Permission
of the staff.
Special subjects at an advanced
level under the direction of staff members .
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
Graduate Teaching Instruction
For master's students.
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.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. Registration
may be repeated as necessary.
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.
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.
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.
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.
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.
Infrastructure Management
Prerequisite: CE
444 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 pavement management 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.
Advanced Soil Mechanics
Prerequisite: CE
316.
Analyzes the chemistry and physics
of soils, strength and deformation characteristics of soils, time rate
of consolidation, earth pressures, bearing capacity, seepage, and slope
stability.
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.
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.
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.
Project Management
Prerequisite: CE
441.
Analyzes the contractual, legal,
and financial considerations in construction management of transportation
projects; the planning and scheduling of projects with the aid of the
Critical Path Methods networks including the arrowonline and precedence
of diagramming, the Program Evaluation and Review Technique (PERT) and
Graphical Evaluation and Review Technique (GERT); simulation methods
to determine probable project duration time and cost distributions;
cash flow analyses of early start schedules and resource leveling techniques;
a method of resource leveling is given. A number of transportation case
studies and a review of recent research papers.
Transportation Systems Planning
and Analysis I
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.
Geographic Information Systems
Prerequisite: Graduate
standing
Introduces gographic information
systems (GIS) through reading, lecture, discussion, research, and handson
experience gained through laboratory work using the ArcView GISpackage.
The primary objective of this course is to investigate the GIS application
process.
Intermodal Transportation
Prerequisite: CE
633.
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.
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.
Traffic Systems Management
Prerequisite: CE
344 and 444 or instructor permission.
A study of different transportation
systems management strategies, including their longrange impact on
efficient use of the systems and on safety. Focuses on traffic signals,
isolated intersections, arterials and networks, geometrics, HOV lanes,
and safety. A case study will also be conducted of a system in operation.
Public Transportation
Prerequisite: Graduate
standing
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.
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.
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.
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.
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.
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.
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.
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. Cross listed as AM 665.
Stress Analysis of Composites
Prerequisite: CE
665 (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.
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.
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.
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.
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.
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.
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.
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.
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.
Special Topics in Civil Engineering
Detailed study of special topics
in civil engineering. Master'slevel graduate students.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
Master'slevel graduate students.
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.
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.
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.
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.
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.
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.
Transportation Systems Planning
and Analysis II
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.
Transportation Systems Planning
and Analysis III
Prerequisite: CE
633 and 732.
Advanced transportation systems
analysis concepts; integrated model systems and applications; real time
computeraided tools; IVHS software; expert systems applications; neural
networks; applications: incident management; real time network analysis.
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.
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.
Intelligent Transportation Systems
Prerequisite: CE
633, 635, and 636 or 638.
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.
Provides an introduction to the concepts of intelligent transportation
systems (ITS) through a systems engineering case study approach. Students
work in teams on ITS case studies through the course of the semester.
The cases are actual problems for state and federal departments of transportation.
Provides students with experience applying systems engineering, exposure
to ITS concepts, and opportunities to examine advanced ITS technology.
Integrated Transportation Systems
Models
Prerequisite: 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.
Advanced Topics in Transportation
Prerequisite: CE
635.
Focuses on selected contemporary
problems in transportation that are of interest to the students and
faculty. Seminars, guest lecturers, projects.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Special Topics in Civil Engineering
Detailed study of special topics
in civil engineering. Doctorallevel graduate students.
Independent Study
Detailed independent study of
graduate course material under the guidance of a faculty member. Doctorallevel
graduate students.
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.
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.
Graduate Teaching Instruction
For master's students.
Thesis
Formal record of student commitment
to master's thesis research under the guidance of a faculty advisor.
Registration may be repeated as necessary.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor.
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.
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.
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.
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.
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.
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.
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.
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.
Building Complex Software Systems
Prerequisite:Ffirstyear
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.
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.
Computer Organization
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.
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.
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.
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.
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.
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.
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.
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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
Performance Analysis of
Communication Networks
Prerequisite: ECE
611 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.
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. Cross listed
as SYS 716.
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.
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.
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.
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.
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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Graduate Teaching Instruction
For master's students.
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.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. May be
repeated as necessary.
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.
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.
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.
Introduction to VLSI
Prerequisite: EE
230, 204, and 303.
Analyzes NMOS and PMOS transistor
design, CMOS fabrication, fabrication design rules, inverter design,
cell design using computer aided design tool MAGIC, chip layout and
design, VLSI circuit design and implementation using the MOSIS process.
Integrated Circuit Fabrication
Processes
Prerequisite:
ECE 303 recommended.
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.
Digital Signal Processing
Prerequisite: ECE
323 and 324, or equivalent.
The fundamentals of discretetime
signal processing are presented. Topics include discretetime linear
systems, ztransforms, the DFT and FFT algorithms, and digital filter
design. Problemsolving using the computer will be stressed.
Special Topics in Electrical
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.
Electric Network Analysis and
Synthesis
Prerequisite: ECE
204 and 324 or equivalent.
Analyzes network topology; matrix
models of network; network properties (oneport, twoport and general)
relevant to synthesis; synthesis of drivingpoint immittances; approximation
and synthesis of filters (passive filters and active RC filters).
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.
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.
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.
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.
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.
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, normal systems, state feedback and the
decoupling problem. Representative physical examples. Crosslisted as
MAE 652.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Digital Picture 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.
Special Topics in Electrical
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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
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.
Performance Analysis of Communication
Networks
Prerequisite: ECE
611 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.
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.
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.
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.
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.
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.
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. Some inclass
experiments using small computers to control dynamic processes. Crosslisted
as MAE 758.
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.
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.
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.
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.
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.
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.
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.
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).
Advanced Digital Signal Processing
Prerequisite:
ECE 611, 576, or equivalent; corequisite: ECE 614.
Topics include a review of matrix
analysis tools, the elements of estimation theory, and the CramerRao
Bound; spectral estimation, especially nonparametric (incl. filterbank)
methods; parametric methods for rational spectra; parametric methods
for line spectra; spatial spectral analysis; and adaptive filtering,
especially least mean squares (LMS) and recursive least squares (RLS)
algorithms.
MultiDimensional and Array
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 2D
Fourier analysis, 2D stability, 2D spectral estimation, and inverse
problems such as beamforming and reconstruction from projections. The
theory developed serves as the foundation of digital image processing,
and is applied to array signal processing (e.g., radar, sonar, seismic,
medical, and astronomical data processing).
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 setsm and a final computer project.
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.
Special Topics in Electrical
Engineering
Prerequisite: Instructor
permission.
A first 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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
Special Topics in Communications
Prerequisite: Instructor
permission.
A variable content course addressing
specific areas of interest to students. Possible course topics include
optical communication; computer networks, satellite communications systems;
phase lock loop theory; advanced signal processing devices; advanced
stochastic processes and martingale theory; advanced detection; and
estimation theory.
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.
Advanced Topics in Control Theory
A seminar examining current
papers from the literature on recent developments in control. Topics
covered depend on teacher and student interest.
Advanced Topics in Digital Systems
Prerequisite: Instructor
permission.
A variable content course addressing
specific areas of current interest and importance, and focusing on the
current literature. Possible topics include computer architecture, computer
system design, advanced switching theory, design automation, test technology,
fault tolerant computing, and VLSI.
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.
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.
Special Topics in Semiconductor
Materials and Devices
Prerequisite: Instructor
permission.
A seminar with topics chosen
from the current literature according to student interest. May include
hot electron transport effects, degradation mechanisms in semiconductors,
methods of manufacture, applications and limitations of very large scale
integrated circuits (VLSI), device modeling, novel measurement techniques,
submicrometer lithography, and high field breakdown.
Special Topics in Computer Vision/Image
Processing
Prerequisite: Instructor
permission.
Intended for M.S. and Ph.D.
students conducting research in image processing and machine vision.
Contents vary with each semester and each instructor. An indepth study
of recent research in a narrowly defined area of computer vision/image
processing is conducted. Readings from recently published articles in
journals and conference proceedings are assigned. Crosslisted as CS
882.
Neural Networks
Prerequisite: APMA
615, CS 351, or equivalent
Provides a working knowledge
of the fundamental theory, design and applications of artificial neural
networks (ANN). Topics include the major general architectures: backpropagation,
competitive learning, counterpropagation, etc. Learning rules such as
Hebbian, WidrowHoff, generalized delta, Kohonen linear and auto associators,
etc., are presented. Specific architectures such as the Neocognitron,
HopfieldTank, etc., are included. Hardware implementation is considered.
Special Topics in Electrical
Engineering
Prerequisite: Instructor
permission.
A seminar with topics chosen
from the current literature according to faculty and student interest.
Possible topics include developments in field theory, inhomogeneous
waveguides, submillimeter devices, Fourier optics and VLSI design.
Supervised Project Research
Formal record of student commitment
to project research under the guidance of a faculty advisor. Registration
may be repeated as necessary.
Graduate Teaching Instruction
For master's students.
Thesis
Formal record of student commitment
to master's thesis research under the guidance of a faculty advisor.
Registration may be repeated as necessary.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. May be
repeated as necessary.
Opportunities for research project
work and special studies are provided through the following courses:
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
Supervised Project Research
Formal record of student commitment
to project research under the guidance of a faculty advisor. Registration
may be repeated.
Graduate Seminar
For students who have established
resident credit. Weekly meeting of graduate students and faculty for
presentation and discussion of contemporary research. This seminar is
offered every semester.
Special Topics in Engineering
Physics
Prerequisite: instructor
permission.
Advancedlevel study of selected
problems in engineering physics.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
Graduate Seminar
Weekly meetings of graduate
students and faculty for presentation and discussion of contemporary
research. This seminar is offered each semester and is required
for every student establishing resident credit.
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.
Graduate Teaching Instruction
For master's students.
Thesis
Formal record of student commitment
to master's thesis research under the guidance of a faculty advisor.
May be repeated as necessary.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of commitment
to doctoral research under the guidance of a faculty advisor. Registration
may be repeated as necessary.
Special Topics in Materials
Scienceand 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 materials
science and engineering field. Offering is based on student and faculty
interests.
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.
Modeling in Materials Science
Prerequisite: At
least two 300400 level MSE courses or instructor permission.
Introduces computer modeling
in several primary areas of Materials Science and Engineering: atomistics,
kinetics and diffusion, elasticity, and processing. Applications are
made to the energy and configuration of defects in materials, solute
segregation, phase transformations, stresses in multicomponent systems,
and microstructural development during processing, for example.
Deformation and Fracture of
Materials During Processing and Service
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.
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.
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.
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.
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.
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.
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, and plastic
deformation; and electronic and magnetic properties of materials. Emphasizes
the relationships between microscopic mechanisms and macroscopic behavior
of materials.
Chemical and Electrochemical
Properties of Solid Materials
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.
Thermodynamics of Materials
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. Open systems, chemical reactions,
capillarity effects and external fields are also discussed.
Kinetics of Solidstate Reactions
Prerequisite: MSE
623.
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 will 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 will develop analytical and numerical
techniques for solving these equations and will apply them to understanding
microstructural evolution during growth and coarsening in one, two and
three dimensions.
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.
Physical Metallurgy of Transition
Element Alloys
Prerequisite:
MSE 606 or instructor permission.
Reinforces fundamental concepts,
introduces advance topics, and develops literacy in the major alloys
of transition elements. 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.
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.
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.
Materials Science Laboratory
Prerequisite: MSE
605 and 606 or instructor permission.
Introduces the specialized experimental
techniques used in materials science research. Particular attention
is given to the techniques of Xray diffractions and electron microscopy.
Also introduces several of the latest experimental methods, such as
field ion microscopy, electron spin resonance, and low voltage electron
diffraction. Four hours laboratory, one hour lecture.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
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.
Electron Microscopy of Crystals
Prerequisite: MSE
601 or instructor permission.
Analyzes 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.
Advanced Electron Microscopy
Prerequisite: MSE
703 or instructor permission.
Emphasizes 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.
Diffusional Processes in Materials
Prerequisite: MSE
623.
Phenomenological theory of diffusion
in crystalline solids is developed for binary and multicomponent alloys
and then applied to problems in solidstate phase transformations, segregation
and homogenization, and thin films. Solution techniques for timeindependent
and timedependent problems in one and two dimensions are constructed
for single and multiphase systems. Interfacial kinetic barriers and
elastic stress on diffusion are presented.
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).
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.
Mechanical Behavior of Materials
Prerequisite: MSE
605 and 606 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.
Fatigue and Fracture 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.
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.
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.
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.
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.
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.
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.
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.
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.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
Graduate Teaching Instruction
For master's students.
Thesis
Formal record of student commitment
to master's thesis research under the guidance of a faculty advisor.
May be repeated as necessary.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. May be
repeated as necessary.
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.
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.
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.
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.
Theory of Elasticity
Prerequisite:
AM602 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.
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.
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.
Conduction and Convection Heat
Transfer
Prerequisite: Undergraduate
fluid mechanics or instructor permission.
Fundamentals of conduction and
convection heat transfer. Steady, unsteady and multidimensional heat
conduction. Phase change problems with moving boundaries. Derivation
and application of conservation equations for heat convection in laminar
and turbulent flows. Applications to free and confined flows. Heat convection
at high speeds. Natural convection, condensation and evaporation.
Radiative and Microscale Heat
Transfer
Prerequisite: MAE
610, ThermoMechancis.
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 both
radiated and microscale effects in space and in time. Radiation heat
transfer analysis will include consideration of gray, diffuses, and
specular surfaces. 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.
Nonequilibrium Gas Dynamics
Prerequisite: MAE
610 or instructor permission.
Boltzmann equation: Dynamics
of molecular collisions; ChapmanEnskog solution of nonequilibrium
flows; transport properties; application to shock structure; and shear
and mixing layers with chemical reactions.
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.
Microscopic Thermodynamics
Prerequisite: Instructor
permission.
Topics include the thermodynamics
of gases developed from a microscopic point of view; kinetic theory
derivation of equilibrium thermodynamic and transport properties of
gases; introduction to advanced nonequilibrium kinetic theory; quantum
mechanical treatment of atomic and molecular energy level structure;
statistical mechanics derivation of the thermodynamic properties of
equilibrium gases; chemical thermodynamics and chemical equilibrium
of reacting gas mixtures; applications of the theory of high temperature
gas behavior, gasphase combustion and equilibrium and nonequilibrium
gas dynamics.
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.
Analytical Dynamics
Prerequisite: Undergraduate
physics, ordinary differential equations.
The topics covered are: Newtonian
mechanics: Newton's laws, energy, work, conservation principles;
Reference frames: transformations, Euler angles, kinematics; Rotational
motion: rigid bodies, inertia tensors; constraints and generalized coordinates;
Other equations of motion: Kane's equations, Lagrange's
equations, GibbsAppell equations; Variational principles. Crosslisted
as AM 621.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Linear Automatic Control Systems
Prerequisite: Instructor
permission.
Studies the dynamics of linear,
closedloop systems; mechanical, electrical, hydraulic, and other servo
systems. Analysis of transfer functions; stability theory. Considers
compensation methods. Crosslisted as ECE 621.
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.
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.
Computer Aided Engineering and
Design
Prerequisite: Instructor
permission; programming language (FORTRAN or PASCAL); matrix algebra.
A comprehensive overview of
computer graphics, geometric modeling, and computer aided design. Addresses
theory and applications, reviewing both the mathematical and technological
foundations of interactive computer graphics, selected CAD applications,
and examples. Currently available CAD/CAM hardware and software are
covered, as are various analysis and optimization programs. Addresses
the problems and issues in constructing and using integrated CAD/CAM
in a production environment. Appropriate hardware and software available
in the Center for Computer Aided Engineering and Design.
Manufacturing Processes and
Materials
Prerequisite: Undergraduate
courses in strength of materials and material science that match the
course content in the University of Virginia courses MAE 231 and 352.
Analysis of metal fabrication
processes. Analytical treatment of metal extrusion, rolling, forging
of disks, flow through conical converging dies, wire and rod drawing
and open die extrusion, tube shrinking and expanding, flow through inclined
planes, and forging of strips. Discusses typical material properties
associated with these processes.
Introduction to Manufacturing
Systems
Prerequisite: Instructor
permission.
Study of the systems approach
to manufacturing; tools and concepts necessary to integrate the computer
into manufacturing: numerical control, programmable controllers, flexible
manufacturing systems, group technology, process planning and control,
modeling, and simulation of factory operations. Includes models of manufacturing
processes and operations (ICAM, ECAM, National Bureau of Standards)
and case histories of exemplary Computer Integrated Manufacturing (CIM)
implementations (the John Deere Tractor Works, the Ingersoll Milling
Machine Company, AT&T Technologies, Richmond Works, and selected
GE plants). Field trips to several advanced manufacturing facilities
(AT&T, GE, NBS/AMRF) are conducted.
Advanced Manufacturing
Technologies
Prerequisite: MAE
665 and 667.
Studies new technologies for
factory automation, including intelligent machines, robotics, machine
vision, image processing, artificial intelligence. Emphasis on control
for automated manufacturing; computer control of machines and processes;
automatic controls; distributed networks; monitoring, inspection, and
quality control. Focuses on research problems in each of these areas.
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.
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.
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.
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.
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.
Independent Study in Mechanical
or Aerospace Science: Intermediate Level
Independent study of firstyear
graduate level material under the supervision of a faculty member.
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 credit hours from either this course or MAE 794 may be applied
toward the master's degree.
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.
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.
Optimal Dynamical Systems
Prerequisite: Two
years of college mathematics, including some linear and vector calculus.
Classical and statespaced controls and undergraduate design courses
are not required, but would help.
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.
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.
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.
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.
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.
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.
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.
Independent Study in Mechanical
or Aerospace Engineering Science:
Advanced Level
Independent study of advanced
graduate material under the supervision of a faculty member.
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.
Graduate Teaching Instruction
For master's students.
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 onehour MAE 791 seminar)
and 12.
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.
Graduate Teaching Instruction
For doctoral students.
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 semesterhours equal to the difference
between his or her regular course load (not counting the onehour MAE
991 seminar) and 12.
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. Overview of contemporary topics
relevant to systems engineering, such as reengineering and total quality
management. 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.
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.
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, with emphasis on problem formulation
and solution techniques. Coverage includes linear programs, nonlinear
programs, combinatorial models, optimality conditions, search strategies,
and numerical algorithms. Topics are illustrated through classic problems
such as service planning, operations management, manufacturing, transportation,
and network flow.
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.
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.
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.
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.
KnowledgeBased Systems
Introduces the fundamental concepts
necessary for successful research in, and real world application of,
knowledgebased decision support systems. Emphasizes knowledge acquisition,
system design principles, and testing systems with human subjects.
Students are required to work through several design and testing exercises
and develop a final project that applies principles learned in class.
Crosslisted as CS 616.
Data Mining
Prerequisite: SYS
605 or STAT 512.
Data mining describes an approach
to turning data into information. Rather than the more typical deductive
strategy of building models using know principles, data mining uses
an inductive approach to discover the appropriate model. 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.
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).
DiscreteEvent Stochastic Simulation
Prerequisite:
SYS 605 or equivalent.
A first graduate course on the
theory and practice of discreteevent simulation. Coverage includes
Monte Carlo methods, generating random numbers and variates, sampling
distributions, and spreadsheet applications; the dynamics of discreteevent
stochastic systems, simulation logic and computational issues; output
analysis, experiment design, and model verification and validation.
Emphasizes modern simulation programming languages.
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.
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.virtualstock exchange.com or a similar site.
Environmental Systems Analysis
Prerequisites: CHEM 152,
PHYS 241.
Examines the constitution of
environmental systems and the science underlying observed perturbations
to these systems. Presents the main tools used to analyze the effect
of perturbations to environmental systems and to frame policy interventions
for mitigating the impacts of such disturbances. Begins with a treatment
of technology design and the environment with a focus on automobiles,
refrigeration, and electric power. Moves to a study of modeling of environmental
processes, with a focus on photochemical smog, PCBs in the aquatic environment,
CFCs and the ozone hole, and global warming and the greenhouse effect.
Progresses to a study of the tools in environmental systems analysis:
lifecycle assessment, environmental economics and natural resource
accounting, benefitcost analysis, risk analysis and environmental forecasting.
Includes an analysis of environmental justice and the role of stakeholders
in environmental systems and closes with a synthesis of the course material
in the context of sustainable development.
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.
Selected Topics in Systems Engineering
Detailed study of a selected
topic, determined by the current interest of faculty and students. Offered
as required.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
Supervised Project Research
Formal record of student commitment
to project research under the guidance of a faculty advisor. Registration
may be repeated as necessary.
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.
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.
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.
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.
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.
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.
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.
Advanced Methods in Optimization
Prerequisite: SYS
603 or equivalent.
Study of advanced topics in
optimization and mathematical programming. Specific topics are determined
by the interests of faculty and students, but may include network and
graph algorithms, decomposition methods for largescale programming,
stochastic optimization, and interiorpoint methods.
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.
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.
Response Surface Methods for
Product and Process Design
Prerequisite: SYS
601, 605, and 674, or instructor permission.
Response surface and other methods
provide engineering design and process improvement through the collection
and analysis of data from controlled experimentation. Response surface
methods use experimental data to construct and explore the relationship
between design variables and measures of product or process performance.
This course investigates the construction of response models for systems
with discrete and continuous valued responses. Both practical and theoretical
aspects of modeling are explored.
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.
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.
Advanced Topics in Systems Engineering
Detailed study of an advanced
or exploratory topic determined by faculty and student interest. Offered
as required.
Independent Study
Detailed study of graduate course
material on an independent basis under the guidance of a faculty member.
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.
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.
Graduate Teaching Instruction
For master's students.
Thesis
Formal record of student commitment
to master's research under the guidance of a faculty advisor. Registration
may be repeated as necessary.
Graduate Teaching Instruction
For doctoral students.
Dissertation
Formal record of student commitment
to doctoral research under the guidance of a faculty advisor. Registration
may be repeated as necessary.
