362 Introduction to Complex Analysis This course provides a rigorous introduction to the theory of functions of a complex variable, which extends Calculus to the complex domain. Topics covered include complex numbers, analytic functions, integrals, power series, elementary complex functions, mappings by elementary functions, elementary conformal mappings, Cauchy’s Integral Theorem, the Residue theorem, and harmonic functions. Prerequisites: MATH 200 or 215, and 278. Offered in alternate years, spring semester. 364 Introduction to Real Analysis A rigorous study of the real number system, functions, limits, continuity, derivatives, integrals, sequences, and series. Prerequisites: MATH 200 or 215, and 278. Offered in alternate years, fall semester. 367 Geometry and Topology: Geometry and topology are introduced in a unified way, beginning with Euclidean and non-Euclidean geometries, including spherical, hyperbolic and affine geometries. Elements of group theory are introduced to treat geometric symmetries, leading to the unification of geometry and group theory. Basic topological concepts are introduced and combined with group theory to yield the geometry of transformation groups. Prerequisites: Math 177 and 215. Offered in alternate years. 397 Internship (.5, .75, 1) This course provides opportunities for junior and senior mathematics majors to apply skills acquired in the classroom to a job-related experience in various professional areas and locations. Prerequisite: Consent of department chair. Offered as needed. 400 Mathematical Modeling This course demonstrates the applicability of mathematics in the formulation and analysis of mathematical models used to solve real world problems. Students are expected to write the results of the models obtained in technical reports and to give oral presentations. This course is taught with the aid of a computer lab. Prerequisites: MATH 177, 215 or 340 and 178 (or some familiarity with Mathematica with the instructor’s approval). Offered in alternate years, fall semester. 403 Computational Data Analysis This course introduces regression and time series methods, which are statistical modeling techniques commonly used in practice for the purpose of data analysis. It also includes some selected topics in statistical computations: generation of random numbers, statistical computing, statistical graphics and Monte Carlo simulations techniques. The course introduces and uses the R statistical programming language. Prerequisite: MATH 325 or one of the following: BIO 323, ECON 227, or PSYCH 227. Offered fall term of even-numbered years. 407 Numerical Analysis Numerical processes and error estimates relating to nonlinear equations, linear systems of equations, polynomial interpolation and approximation, spline functions, numerical integration and differentiation, and initial-value problems in ordinary differential equations. Prerequisites: MATH 177. Offered in alternate years, fall semester. 412 Combinatorial Designs This course will examine many of the standard constructions for Steiner triple systems – the prototypical combinatorial design. Other structures studied include Latin squares, quasigroups, graph decompositions, Kirkman triple systems, pairwise balanced designs, group divisible designs, and projective and affine planes. Prerequisite: MATH 200. Offered in alternate years, spring semester. 420 Math Immersion lV (.25) A continuation of Math 320. Requirements include accruing at least 5 math immersion points throughout the year, finalizing the portfolio including a reflection on the capstone experience, and meeting with the math faculty advising group once per semester. To be taken spring of the senior year. Prerequisite: MATH 320. 430 Topics in Linear Algebra Advanced topics in pure and applied linear algebra, selected by the instructor of the course. Possible topics include, but are not limited to, linear programming, nonlinear programming, linear complementarity theory, canonical
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