Course Descriptions -- Ch10: 2001-2002 UVa Undergraduate Record

Some courses included in the engineering and applied science curricula are taught by the College of Arts and Sciences faculty and are listed in the course offerings of that school. These include physics (PHYS), chemistry (CHEM), and college mathematics (MATH).

Note Courses at the 600 level and above are listed in the Graduate Record.

Includes algebra, trigonometry, and analytic geometry; emphasizes graphing and attaining proficiency in the manipulation of mathematical expressions. Designed to promote the mathematical maturity necessary for success in calculus. Does not count toward the degree requirements in engineering.

The concepts of differential and integral calculus are developed and applied to the elementary functions of a single variable. Applications are made to problems in analytic geometry and elementary physics. For students with no exposure to high school calculus.

A continuation of APMA 109. Topics include vectors in the plane and in three-space; techniques of integration; indeterminate forms; polar coordinates; and infinite series.

Includes the concepts of differential and integral calculus, and applications to problems in geometry and elementary physics, including indeterminate forms and techniques of integration.

Introduces discrete mathematics and proof techniques involving first order predicate logic and induction. Application areas include sets (finite and infinite, such as sets of strings over a finite alphabet), elementary combinatorial problems, and finite state automata. Develops tools and mechanisms for reasoning about discrete problems. Cross-listed as CS 202.

Topics include infinite series; vectors in three-space and vector valued functions; and multivariate calculus, including partial differentiation and multiple integrals.

An introduction that includes basic linear algebra, systems of ordinary differential equations, and Laplace transforms.

Prerequisite: APMA/CS 202 or equivalent A continuation of APMA 202, consisting of topics in combinatorics, including recurrence relations and generating functions. An introduction to graph theory, including connectivity properties; and Eulerian and Hamiltonian graphs, spanning trees and shortest path problems. Cross-listed as CS 302.

Prerequisite: APMA 212 or equivalent Analyzes the systems of linear equations; vector spaces; linear dependence; bases; dimension; linear mappings; matrices; determinants; quadratic forms; eigenvalues; orthogonal reduction to diagonal form; and geometric applications.

Prerequisite: APMA 212 or equivalent A calculus-based introduction to probability theory and its applications in engineering and applied science. Includes counting techniques, conditional probability, independence, discrete and continuous random variables, expected value and variance, joint distributions, covariance, correlation, Central Limit theorem, an introduction to stochastic processes.

Prerequisite: APMA 310 or equivalent Includes confidence interval and point estimation methods, hypothesis testing for single samples, inference procedures for single-sample and two-sample studies, single and multifactor analysis of variance techniques, linear and non-linear regression and correlation, and using Minitab for large data sets.

Includes vector integration, boundary value problems, Fourier series, and the solution of the heat, wave, and Laplace's equations by separation of variables.

Prerequisite: two years of college mathematics, including some linear algebra and differential equations, and the ability to write computer programs in any language Introduces techniques used in obtaining numerical solutions, emphasizing error estimation. Includes approximation and integration of functions, and solution of algebraic and differential equations.