# Mathematics (MATH)

### Courses

**MATH 0015 Arithmetic and Pre-Algebra: 3 semester hours.**

Arithmetic of integers and rational numbers. Decimals; introduction to variables; linear equations; problems involving rates, ratios, proportions and percentages. Not eligible for academic credit. F, S, Su

**MATH 0025 Elementary Algebra: 3 semester hours.**

Variables and algebraic expressions. Absolute value; linear equations and inequalities and their applications; expansion and factorization of polynomials; rational expressions; radical expressions; the real number line; the Cartesian coordinate system and graphing of linear equations. Equivalent to TGE 0100A. PREREQ: C- in MATH 0015, a Math ACT score of 16 or higher, an SAT score of 390 or higher, or 46 or higher on the Pre-algebra section (MAPL 1). F, S, Su

**MATH 0090 Accelerated Mathematics Placement: 3 semester hours.**

Self-paced alternative to any subsequence of MATH 0015, MATH 0025, MATH 1108, MATH 1143, or MATH 1144. Starting with MATH 0015, students sequentially complete modules and then take a mastery exam for each course. Scoring 90% or above on each exam earns placement equivalent to having passed the corresponding course. Intended for students with enough mathematics background to work independently. Credits earned do not count toward graduation credits. Graded S/U. F, S

**MATH 0099 Experimental Course: 1-6 semester hours.**

This course is not described in the catalog. The course title and number of credits are announced in the class schedule by the scheduling department. Experimental courses may be offered no more than three times. May be repeated.

**MATH 1108 Intermediate Algebra: 4 semester hours.**

Topics in algebra, with an emphasis on solving equations and inequalities. Systems of linear equations; quadratic equations and the quadratic formula; polynomial, absolute value, rational, and radical equations and inequalities. Radical and rational exponents. Parabolas, distance formula and circles. PREREQ: C- in MATH 0025, a Math ACT score of 17 or higher, an SAT score of 420 or higher, or 35 on the Algebra section (MAPL 2). F, S, Su

**MATH 1123 Mathematics in Modern Society: 3 semester hours.**

Survey of applications of mathematics to real-world problems. Topics from graph theory, management science, political science, statistics, geometry, and computer science. PREREQ: MATH 0025. Satisfies Objective 3 of the General Education Requirements. F, S, Su

**MATH 1127 The Language of Mathematics: 3 semester hours.**

Introduction to the precise language used throughout mathematics. Development of skills including reading with comprehension, expressing mathematical thoughts clearly, reasoning logically, and employing common patterns of mathematical thought. PREREQ: MATH 0025. Satisfies Objective 3 of the General Education Requirements. S

**MATH 1130 Finite Mathematics: 3 semester hours.**

Introduction to probability, linear systems, inequalities, and linear programming. Applications directed to non-physical science areas. PREREQ: MATH 1108. Satisfies Objective 3 of the General Education Requirements. F, S

**MATH 1143 College Algebra: 3 semester hours.**

Functions and their graphs. Notation, domain, range, composition, and inverses. Basic transformations of graphs. Polynomial, rational, exponential, and logarithmic functions and their graphs, with applications. Theory of polynomial functions and equations. PREREQ: MATH 1108. F, S, Su

**MATH 1144 Trigonometry: 2 semester hours.**

Circular functions and right triangle approaches to trigonometry. Graphs of trigonometric functions: amplitude, frequency, phase shift. Trigonometric identities, inverse functions, and equations. Introduction to vectors in the plane, polar coordinates, and polar representation of complex numbers. PREREQ: MATH 1143. F, S, Su

**MATH 1147 Precalculus: 5 semester hours.**

A single one-semester course equivalent to College Algebra (MATH 1143) plus Trigonometry (MATH 1144). Credit cannot be granted in both MATH 1143 and MATH 1147, or in both MATH 1144 and MATH 1147. PREREQ: MATH 1108. F, S

**MATH 1153 Introduction to Statistics: 3 semester hours.**

Descriptive statistics, probability, confidence intervals, and hypothesis testing for one and two parameters. Emphasis on applications to a wide variety of disciplines. PREREQ: MATH 1108. Satisfies Objective 3 of General Education Requirements. F, S, Su

**MATH 1160 Applied Calculus: 3 semester hours.**

Course in differential and integral calculus designed primarily for students in biological sciences, social sciences, business, education, and humanities. Credit cannot be granted in both MATH 1160 and MATH 1170. PREREQ: MATH 1143 or MATH 1147. Satisfies Objective 3 of the General Education Requirements. F, S, Su

**MATH 1170 Calculus I: 4 semester hours.**

First course in the sequence MATH 1170, MATH 1175, and MATH 2275. Real-valued functions of one real variable: limits, continuity, derivatives, integrals, applications. Credit cannot be granted in both MATH 1160 and MATH 1170. PREREQ: MATH 1144 or MATH 1147. Satisfies Objective 3 of the General Education Requirements. F, S, Su

**MATH 1175 Calculus II: 4 semester hours.**

Second course in the sequence MATH 1170, MATH 1175, and MATH 2275. Techniques of integration, trigonometric integrals, improper integrals. Applications of definite integrals. Sequences and series. Parametric curves in the plane, polar coordinates. PREREQ: MATH 1170. F, S, Su

**MATH 1187 Applied Discrete Structures: 3 semester hours.**

Discrete structures in CS and EE. Boolean algebra and logic; sets, functions, and relations; iteration, recursion, and induction; algorithms; programming in pseudocode; basic counting principles; graphs and trees; and other selected topics from discrete mathematics. Equivalent to CS 1187. PREREQ: CS 1181. S

**MATH 1199 Experimental Course: 1-6 semester hours.**

This course is not described in the catalog. The course title and number of credits are announced in the class schedule by the scheduling department. Experimental courses may be offered no more than three times. May be repeated.

**MATH 2240 Linear Algebra: 3 semester hours.**

Introduction to linear algebra. Linear systems, matrices, determinants, vector spaces, linear transformations, linear independence, eigenvalues and eigenvectors, orthogonalization. PREREQ: MATH 1170. F, S, Su

**MATH 2256 Structure of Arithmetic for Elementary School Teachers: 3 semester hours.**

Development of number systems. Emphasis on principles, representations, and concept development. For elementary education majors. PREREQ: MATH 1143. Satisfies Objective 3 of the General Education Requirements. F

**MATH 2257 Structure of Geometry and Probability for Elementary School Teachers: 3 semester hours.**

Topics from geometry, probability, and statistics. Emphasis on principles, representations, and concept development. For elementary education majors. PREREQ: MATH 1143. Satisfies Objective 3 of the General Education Requirements. S

**MATH 2275 Calculus III: 4 semester hours.**

Third course in the sequence MATH 1170, MATH 1175, and MATH 2275. Multivariable calculus. Vector algebra and geometry. Functions of several variables. Differentiation. Optimization. Multiple Integrals. Parametric curves and surfaces. Line and surface integrals. Vector fields. Green's, Stokes', and divergence theorems. PREREQ: MATH 1175. F, S

**MATH 2287 Foundations of Mathematics: 3 semester hours.**

Logic and proofs, sets, functions, relations, mathematical induction, and the cardinality of sets. PREREQ: MATH 1170. D

**MATH 3326 Elementary Analysis: 3 semester hours.**

A beginning course in analysis on the real line. Proof writing and the underlying logic are emphasized throughout the course. Topics include sets and functions, sequences, convergence, limits, continuity, and infinite series. PREREQ: MATH 1175 and either MATH 2240 or MATH 2287. F, S

**MATH 3327 Vector Analysis: 3 semester hours.**

Calculus of vector functions of several variables, derivative matrix, chain rule, inverse function theorem, multiple integration. Change of variables. Integrals over curves and surfaces. Green's, Stokes' and divergence theorems. Applications to physics. PREREQ: MATH 2275. F

**MATH 3343 Modern Geometry I: 3 semester hours.**

Planar Euclidian geometry. Rigid motions and symmetry in the plane. PREREQ: MATH 2240 or MATH 2287. F

**MATH 3350 Statistical Methods: 3 semester hours.**

A calculus-based introduction to statistical procedures, including simple regression, basic experimental design, and non-parametric methods. PREREQ: MATH 1160 or MATH 1170. F, S

**MATH 3352 Introduction to Probability: 3 semester hours.**

Fundamentals of probability, discrete and continuous random variables, distributions such as binomial, uniform, Poisson, hypergeometric, normal, gamma; expectation; joint, marginal, conditional distributions; central limit theorem; applications to statistics. Emphasizes material needed to develop statistical inference methods. PREREQ: MATH 1175 or permission of instructor. F, S

**MATH 3355 Operations Research: 3 semester hours.**

Deterministic problems in operations research oriented towards business. Includes linear programming, transportation problems, network analysis, PERT, dynamic programming, and elementary game theory. PREREQ: MATH 1130 or MATH 2240, or permission of instructor. D

**MATH 3356 Operations Research II: 3 semester hours.**

Probabilistic models oriented towards business are treated. Selections from stochastic processes, Markov chains, queuing theory, inventory theory, reliability, decision analysis and simulation. PREREQ: MATH 3355. D

**MATH 3360 Differential Equations: 3 semester hours.**

Theory and applications of ordinary differential equations. PREREQ: MATH 1175; MATH 2275 recommended. F, S

**MATH 3362 Introduction to Complex Variables: 3 semester hours.**

Introduction to the study of functions of a complex variable including the algebra and geometry of complex numbers, analytic functions, power series, integral theorems, and applications. PREREQ: MATH 2275. F

**MATH 4403 Survey of Combinatorics and Graph Theory: 3 semester hours.**

Enumeration techniques, including generating functions. Applications. Introductory graph theory. PREREQ: MATH 1175 and MATH 2240. D

**MATH 4404 Topics in Combinatorics and Graph Theory: 3 semester hours.**

Continuation of MATH 4403. Application of algebraic, analytic, and/or probabilistic methods to combinatorial, graph-theoretic, and algorithmic problems. PREREQ: MATH 4403 or permission of instructor. D

**MATH 4406 Advanced Linear Algebra: 3 semester hours.**

Advanced linear algebra with a strong emphasis on proof. Real and complex vector spaces, linear transformations, polynomials associated to matrices, determinants, canonical forms, inner product spaces. PREREQ: MATH 2240. D

**MATH 4407 Modern Algebra I: 3 semester hours.**

Rings, fields, groups, algebras, and selected topics in abstract algebra. PREREQ: MATH 2240 and MATH 2287. F

**MATH 4408 Modern Algebra II: 3 semester hours.**

Rings, fields, groups, algebras, and selected topics in abstract algebra. PREREQ: MATH 4407. S

**MATH 4421 Advanced Engineering Mathematics I: 3 semester hours.**

Analysis of complex linear and nonlinear engineering systems using advanced techniques, including Laplace transforms, Fourier series and classical partial differential equations. PREREQ: MATH 3360. F

**MATH 4422 Advanced Engineering Mathematics II: 3 semester hours.**

Analysis of complex linear and nonlinear engineering systems using advanced techniques, including probability and statistics, advanced numerical methods and variational calculus. PREREQ: MATH 4421. S

**MATH 4423 Introduction to Real Analysis I: 3 semester hours.**

The real number system, limits, sequences, series and convergence; metric spaces; completeness; and selected topics on measure and integration theory. PREREQ: MATH 2240, MATH 3326, and MATH 3360. F

**MATH 4424 Introduction to Real Analysis II: 3 semester hours.**

The real number system, limits, sequences, series and convergence; metric spaces; completeness; and selected topics on measure and integration theory. PREREQ: MATH 4423. S

**MATH 4435 Elementary Number Theory: 3 semester hours.**

Diophantine equations, prime number theorems, residue systems, theorems of Fermat and Wilson, and continued fractions. PREREQ: MATH 4407. D

**MATH 4441 Introduction to Numerical Analysis I: 3 semester hours.**

Introduction to numerical techniques for solving problems dealing with nonlinear equations, systems of linear equations, differential equations, interpolation, numerical integration, and differentiation. PREREQ: MATH 2240, MATH 3326, and MATH 3360 or permission of instructor. F

**MATH 4442 Introduction to Numerical Analysis II: 3 semester hours.**

Extension of MATH 4441 for students who wish to pursue more advanced techniques with emphasis on analysis. Typical topics covered include numerical methods applied to partial differential equations, integral equations, and in-depth treatment of topics covered in MATH 4441. PREREQ: MATH 4441. S

**MATH 4444 Modern Geometry II: 3 semester hours.**

Transformation groups. Topics from hyperbolic, projective, and other geometries. D

**MATH 4450 Mathematical Statistics I: 3 semester hours.**

Probability, random variables, discrete and continuous distributions, order statistics, limit theorems, point and interval estimation, uniformly most powerful tests, likelihood ratio tests, chi-square and F tests, nonparametric tests. PREREQ: MATH 3326 and MATH 3352. F

**MATH 4451 Mathematical Statistics II: 3 semester hours.**

Probability, random variables, discrete and continuous distributions, order statistics, limit theorems, point and interval estimation, uniformly most powerful tests, likelihood ratio tests, chi-square and F tests, nonparametric tests. PREREQ: MATH 4450. S

**MATH 4453 Topics in Statistics: 1-3 semester hours.**

Content varies. May be repeated for up to 6 credits. PREREQ: Permission of instructor. D

**MATH 4457 Applied Regression Analysis: 3 semester hours.**

Simple and multiple linear regression, polynomial regression, diagnostics, model selection, models with categorical variables. PREREQ: MATH 3350 or MATH 3352 or permission of instructor. D

**MATH 4458 Experimental Design: 3 semester hours.**

The linear model for experimental designs, analysis of variance and covariance, block designs, factorial designs, nested designs, choice of sample size. PREREQ: MATH 3350 or MATH 3352 or permission of instructor. D

**MATH 4459 Applied Multivariate Analysis: 3 semester hours.**

Matrix computation of summary statistics, graphical analysis of multivariate procedures, multivariate normal distribution, MANOVA, multivariate linear regression, principal components, factor analysis, canonical correlation analysis. PREREQ: MATH 2240 and one of the following: MATH 3350, MATH 4457, MATH 4458, or permission of instructor. D

**MATH 4465 Partial Differential Equations: 3 semester hours.**

Equations of the first and second orders, methods of solution, Laplace's Equation, heat equation, and wave equation. Emphasis on applications in physical sciences and engineering. PREREQ: MATH 2275 and MATH 3360. D

**MATH 4473 Introduction to Topology: 3 semester hours.**

Metric spaces; convergence; notions of continuity; connected, separable and compact spaces. PREREQ: Permission of instructor. D

**MATH 4481 Directed Readings and Problems: 1-3 semester hours.**

Individual work under the direction of a professor. May be repeated for up to 6 credits. PREREQ: Senior or graduate student in good standing. D

**MATH 4491 Mathematics Seminar: 1-3 semester hours.**

Advanced reading and discussion on selected topics in mathematics. May be repeated. PREREQ: 90 credits or equivalent. D

**MATH 4499 Experimental Course: 1-6 semester hours.**

This is an experimental course. The course title and number of credits are announced in the class schedule by the scheduling department. Experimental courses may be offered no more than three times with the same title and content.