Department of Mathematics
Fall 1998 Undergraduate Courses
MTH 108 (sec
01,02)
MTH 381 History of Mathematics
MTH 437 Advanced Calculus with Applications I
Fall 1998 Graduate Courses
MTH
513 Linear Algebra
MTH547 Combinatorics and Graph Theory The focus of the course will be existence and construction of combinatorial designs and tournaments. Topics: block designs, Latin squares, systems of distinct representatives, difference sets, Hadamard designs and matrices (with application to coding theory), projective geometries, tournament designs. Instructor: J. Lewis.
MTH 550 Probability and Stochastic Processes is a second course in probability theory. Prerequisites are MTH 451 (Probability) or an equivalent course, linear algebra, and some advanced calculus. Emphasis will be placed on fundamental principles, thinking probabilistically, and ``tricks of the trade.'' Topics will include: a second look at basic probability theory, generating functions and recurrences, random walks, branching processes, Markov chains and Markov processes. The ideas and methods in this course have wide applicability in mathematics, computer science, virtually all the sciences, engineering, economics and management.
MTH629 Functional Analysis is the first of two one semester courses on Functional Analysis. The course is designed for students in mathematics, science, engineering and other fields. The main topic of MTH629 is theory and applications of linear operators on a Hilbert space. That is, the course is a natural continuation of Linear Algebra. The applications include approximation and minimum norm problems, solutions to infinite systems of equations, and applications to integral and differential equations. The requirements of the course are familiarity with linear algebra and advanced calculus. Also, familiarity with mathematical proofs.
MTH641 Partial Differential Equations I. is designed for graduate students in mathematics, physics, engineer ing and computer science. It provides an introduction to the theory of partial differential equations and develops a number of tools for solutions of partial different equa tions. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.