Introduction to computational techniques used in science and industry. Topics selected from root-finding, interpolation, data fitting, linear systems, numerical integration, numerical solution of differential equations, and error analysis. Prerequisites: MATH 233 and 235, or consent of instructor, and knowledge of a scientific programming language.

Not available at this time

Not available at this time

Not available at this time

Not available at this time

Not available at this time

Basic properties of the positive integers including congruence arithmetic, the theory of prime numbers, quadratic reciprocity, and continued fractions. Theory applied to develop algorithms of computer science and to cryptography. Prerequisite: MATH 235 or 236.

Calculus of several variables, Jacobians, implicit functions, inverse functions; multiple integrals, line and surface integrals, divergence theorem, Stokes' theorem.

Complex numbers and functions, analytic functions, complex integration, series, residues, conformal mappings. Applications: computation of real integrals, Dirichlet's boundary value problem and its application to physics and engineering. Prerequisite: MATH 233.

Introduction to groups, rings, fields, vector spaces, and related concepts. Emphasis on development of careful mathematical reasoning. Prerequisites: MATH 235 or 236; MATH 300 or consent of instructor.