400
A rigorous treatment of properties of the real numbers and functions of a single real variable. Topics include completeness, limits, continuity, differentiation, integration, and sequences. Additional topics may include series, an introduction to Euclidean or metric spaces.
3
Prerequisites
MTH 311
Topics may include sequences and series of functions, uniform convergence, Fourier series, the Riemann-Stieltjes integral, and functions in several variables.
3
Prerequisites
MTH 401
Complex numbers and functions of a complex variable; limits, differentiability; Cauchy's theorem; power series, Laurent series, residue theorem with applications, maximum modulus theorem, Liouville's theorem; conformal mapping and applications.
3
Prerequisites
MTH 301,
MTH 311
A foundations course in elementary geometry discussing the following: incidence geometries; finite, metric, and synthetic geometries; Euclidean, hyperbolic, and elliptical geometries; and some axiomatic theory.
3
Prerequisites
MTH 301,
MTH 341
An introduction to fundamental concepts in point-set topology. Topics are taken from the following: open and closed sets, continuity, connectedness, compactness, separability, metric spaces.
3
Prerequisites
MTH 311
The study of algebraic structures that are like the integers, polynomials, and the rational numbers. The integers and their properties. Groups: examples, properties, and counting theorems. Rings: examples and properties. Fields: roots of polynomials and field extensions.
3
Prerequisites
MTH 311,
MTH 341
Unique factorization in special rings. Field theory and the use of groups to understand field extensions: finite fields, Galois theory. Classical construction problems, solution of n-th degree polynomials.
3
Prerequisites
MTH 441
Probability, discrete and continuous random variables, expectation, important probability distributions, introduction to sampling, estimation, and hypothesis testing.
3
Prerequisites
MTH 202,
MTH 311
Topics from simple linear and multiple regression, analysis of variance and design of experiments, methods for categorical data, distribution-free methods.
3
Prerequisites
MTH 461
Carries a title reflecting the subject or subjects studied and/or the nature of the class structure. May be repeated for credit.
Variable
Faculty-directed student research. Before enrolling, a student must consult with a faculty member to define project. May be repeated for credit.
Practical field experience in selected industries or agencies. Department permission and supervision is required. Credit arranged.
Variable
Research, study, or original work under the direction of a faculty mentor, leading to a scholarly thesis document with a public presentation of results. Requires approval of thesis director, department chair, dean, and the director of the honors program, when appropriate.
3
Prerequisites
Senior standing; 3.0 G.P.A. in the thesis area or good standing in the honors program.