A beginning course, with particular emphasis on groups and rings. Prereq: MA 261 or consent of instructor. Coreq: MA 322.

A continuation of MA 361 to include a discussion of fields and topics in linear algebra.

A course intended to provide understanding of and experience with contemporary mathematical communication in a modern instructional setting. Primarily intended for, but not restricted to, prospective school and college teachers of mathematics, including students who may intend to enroll in a graduate program and work as a graduate teaching assistance while pursuing an advanced degree. May not be counted as an upper division mathematics course in mathematics degree programs. Lecture, one hour; laboratory, four hours per week.

Reading courses for upper division students of high standing.

The course is an introduction to modern operations research and includes discussion of modeling, linear programming, dynamic programming, integer programming, scheduling and inventory problems and network algorithms.

Elementary complex variable theory with applications, Complex field, analytic functions. Cauchy theorem, power series, residue theory. Prereq: MA 213 or consent of the instructor.

A continuation of MA 471G to functions of several variables. A careful and rigorous investigation of the extensions of the concepts of the one variable calculus to n-dimensions.

Continuation of MA/PHY 506. Fourier and Laplace Transforms, the special functions (Bessel, Elliptic, Gamma, etc.) are described. Work with Green's functions, eigenvalues, matrices and the calculus of variations are included as a part of MA/PHY 506 and 507.

Floating point arithmetic. Direct methods for the solutions of systems of linear algebraic equations. Polynomial and piecewise polynomial approximation, orthogonal polynomials. Numerical integration: Newton Cotes formulas and Gaussian quadrature. Basic methods for initial value problems for ordinary differential equations. The emphasis throughout is on the under- standing and use of software packages for the solution of commonly occurring problems in science and engineering.

Reading course for graduate students in mathematics. May be repeated to a maximum of nine credits.