# Courses in Mathematics

### Undergraduate Courses in Mathematics

**MTH 3301 Geometry (3-0)**

Classical Euclidean geometry with congruences and constructions. Introduction to other geometries as time permits.

Prerequisite: MATH 2413 or permission of instructor

**MTH **3302 Probability and Statistics I (3-0)

Descriptive statistics, probability, random variables and their distributions, estimation, and hypothesis testing.

Prerequisite: MATH 1314 or permission of instructor

**MTH **3303 Multi-Variant Calculus (3-0)

Multiple integrals, partial derivatives, vectors, derivatives and integrals of vector fields.

Prerequisite: MATH 2414

**MTH **3304 Linear Algebra (3-0)

Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, applications, and numerical methods.

Prerequisite: MATH 2413

**MTH **3305 History of Mathematics (3-0)

Early number systems and symbols, mathematics in early civilizations, and biographies of a representative sample of mathematicians along with an exploration of the chronological development of important ideas in mathematics.

Prerequisite: MTH 4301 or MTH 4307

**MTH **3306 Topics In Mathematics (3-0)

Discussion of selected topics in theoretical and applied mathematics. Course may be repeated as topics vary.

**MTH **3307 Differential Equations (3-0)

First order first degree equations, linear differential equations of higher order, Laplace transforms, series solutions, systems of linear differential equations, and applications.

Prerequisite: MATH 2414

**MTH **3308 Survey Of Basic Mathematical Theory I (3-0)

Numeration systems, foundations of arithmetic, fractions and decimal numbers, measurement concepts, and problem solving. Elementary Education Only.

Prerequisite: MTH 1314

**MTH **3309 Survey Of Basic Mathematical Theory II (3-0)

Geometric concepts, probability, statistics, estimation, problem solving, and other related topics. Elementary Education Only.

Prerequisite: MTH 3308

**MTH **3310 Discrete Mathematics (3-0)

Sets, logic, induction, recursive relationships, introduction to graph theory, and related topics.

Prerequisite: MATH 3301

**MTH **3311 Survey of Basic Mathematical Theory III (3-0)

Further study in mathematics including probability measurement and geometry, geometric figures, networks, transformations, symmetries, congruence, similarity and construction. Elementary Education Only.

Prerequisite: MTH 3309

**MTH **3312 Vector Calculus (3-0)

Theory of vector-valued functions, including basic differential operators, constrained extrema, multiple integrals, change of variables, integration over paths and surfaces, and integral theorems.

Prerequisite: MTH 3303 and MTH 3304

**MTH **3313 Functions of a Complex Variable (3-0)

Complex numbers, analytic functions, elementary functions and mapping, integrals, power series, residues and poles, and conformal mapping.

Prerequisite: MTH 3303

**MTH **4301 Modern Abstract Algebra (3-0)

Basic properties of the integers, groups, sets and mappings, rings, integral domains and fields.

Prerequisite: MTH 3304

**MTH **4304 Probability And Statistics II (3-0)

Linear regression and correlation, multiple regression, analysis of variance, analysis of enumerative data.

Prerequisite: MTH 3302

**MTH **4306 Seminar In Mathematics (3-0)

Senior-level seminar course with topics selected from both theoretical and applied mathematics. Course may be repeated as topics vary.

**MTH **4307 Real Variables (3-0)

Sets, metric spaces, sequences, series, continuity, differentiation, integration.

Prerequisite: MATH 2414

**MTH **4309 Real Variables II (3-0)

Continuation of MTH 4307. Topics include limits, continuity, derivatives, integrals, and sequences of functions.

Prerequisite: MTH 4307

**MTH **4327 Readings and Research (3-0)

Senior level reading course with topics selected from advanced mathematics. Emphasis on independent research, and written and oral communication.

Prerequisite: permission of instructor

### Graduate Courses in Mathematics

**MTH **5301 Special Topics in Mathematics (3-0)

Selected topics in theoretical and applied mathematics which are of particular interest to teachers of mathematics. The course may be repeated for different topics.

Prerequisite: baccalaureate degree and permission of instructor