400

MTH 401 Real Analysis I

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 with a grade of C- or higher

MTH 402 Real Analysis II

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 401 with a grade of C- or higher

MTH 431 Modern Geometry

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 311 with a grade of C- or higher

MTH 435 Topology

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 with a grade of C- or higher.

MTH 441 Group Theory

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 with a grade of C- or higher.

MTH 442 Rings and Fields

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, MTH 311 or MTH 341 with a grade of C- or higher

MTH 443 Cryptography

Cryptography is the science of encoding and decoding information for the purpose of secure communication. With an emphasis on utilization of both modern and classical cryptosystems, this course introduces students to the mathematical underpinnings of cryptography.
3

Prerequisites

MTH 311 with a grade of C- or higher; MTH 341 strongly recommended

MTH 451 Numerical Methods in Computing I

Numerical techniques for computer-aided solution and analysis of systems using MATLAB. Emphasis on applications from engineering and the physical sciences. Topics covered may include non-linear equations, systems of equations, interpolation, integration and differentiation, and ordinary and partial differential equations.
3

Prerequisites

MTH 321 or MTH 341

Corequisites

MTH 321 or MTH 341

Cross Listed Courses

EGR 551

MTH 461 Probability and Statistics I

Probability, discrete and continuous random variables, expectation, important probability distributions, introduction to sampling, estimation, and hypothesis testing.

3

Prerequisites

MTH 202 and MTH 311 with a grade of C- or higher.

MTH 462 Probability and Statistics II

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 with a grade of C- or higher.

MTH 490 Directed Study

Credit arranged.

Variable

MTH 491 One Time Course Offering

Carries a title reflecting the subject or subjects studied and/or the nature of the class structure. May be repeated for credit.

Variable

MTH 493 Research in Mathematics

Faculty-directed student research. Before enrolling, a student must consult with a faculty member to define project. May be repeated for credit. Credit arranged.

Variable

MTH 497 Internship

Practical field experience in selected industries or agencies. Department permission and supervision is required. Students may receive an IP (In Progress) grade until the completion of their internship. 

Credit arranged.
Variable

MTH 497I Industrial Mathematics Internship

Math 497 is a course for students with strong mathematical preparation.  Students will work in teams on a project from an industrial or governmental firm.  Student success will depend on realistic industry evaluations such as teamwork, communication, individual initiative, and final products.
3

Prerequisites

Instructor permission

MTH 499 Senior Thesis

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.