400

MATH 400 Independent Study

Independent study of a selected list of readings approved by a faculty advisor. Permission of department required.

1-3

MATH 405 Senior Seminar

Studies from selected areas of mathematics. Written reports and formal presentations will be required. Senior standing or permission of instructor required.

1

MATH 406 Applied Math Senior Seminar

Students are partitioned into small groups and given problems from the Mathematical Contest in Modeling, or similar material, to work on together. Written reports and formal presentations will be required. Departmental approval required.

1

MATH 408 Special Topics Seminar

Selected readings, discussions, and reports on topics in mathematics. Permission of department required.

1-3

MATH 420 Advanced Calculus

Vector calculus; Jacobian matrices and their determinants; differentiation and integration of differential forms and applications to physics; generalizations of the fundamental theorem of calculus, including Green's theorem, the divergence theorem, Gauss's theorem, and Stokes' theorem; potential theory.

3

Prerequisites

MATH 231 and MATH 223

MATH 423 Topics in Analysis

Topics vary, depending on the instructor, but may include measure and integration, basic functional analysis, complex analysis, residue theory, and special functions.

3

Prerequisites

MATH 323

MATH 440 Graph Theory

Introduction to graph theory. Topics chosen from: connectivity, trees, eulerian and hamiltonian graphs, matchings, factorizations, and colorings. Applications chosen from: the shortest path problem, communication networks, the traveling salesman problem, the optimal assignment problem, and scheduling algorithms.

3

Prerequisites

MATH 210 and MATH 231

MATH 490 Honors Thesis

The capstone course in the Honors Program in Mathematics. Each student will conduct research under the mentorship of a faculty member, culminating in a written thesis and an oral presentation. This course is by invitation only.

3

Prerequisites

MATH 390