Mathematics (MATH)

Click here for an explanation of how to read course offerings.

Click here for A-Z course descriptions list.

Developmental Courses

0301. Essential Mathematics (3:3:0). A developmental course for students with weak preparation in fundamental mathematics, high school algebra, and geometry. MATH 0301 counts in the student’s semester load and is recorded on the transcript, but the hours do not count as part of the minimum number of hours required for graduation in any degree program of the university. Grades are awarded for the semester, but they are not computed in the student’s grade point average. This course counts for TSI math skills development provided the student has met with an advisor in the TSI Skills Development Office in 72 Holden Hall.

0302. Intermediate Algebra (3:3:0). Prerequisite: Score on the Mathematics Placement Examination of 2 or higher or a grade of B or better in MATH 0301. A developmental course for students with weak preparation in algebra or who need a review of high school algebra before enrolling in MATH 1320 or higher. MATH 0302 counts in the student’s semester load and is recorded on the transcript, but the hours do not count as part of the minimum number of hours required for graduation in any degree program of the university. Grades are awarded for the semester, but they are not computed in the student’s grade point average. This course counts for TSI math skills development provided the student has met with an advisor in the TSI Skills Development Office in 72 Holden Hall.

1000 Level Courses

1300. [MATH 1332] Contemporary Mathematics (3:3:0). Prerequisite: Score on mathematics placement examination of 3 or higher or a grade of B or better in MATH 0302. Quantitative literacy and problem solving with applications to finance, population dynamics, politics, and business. Fulfills Core Mathematics requirement.

1320. [MATH 1314] College Algebra (3:3:0). Prerequisite: Score on the mathematics placement examination of 3 or higher or a grade of B or better in MATH 0302. Inequalities, determinants, theory of equations, binomial theorem, progressions, mathematical induction.

1321. [MATH 1316] Trigonometry (3:3:0). Prerequisite: Score on the mathematics placement examination of 4 or higher MATH 1320, or a grade of A in MATH 0302. Trigonometric functions, radians, logarithms, solutions of triangles, identities, trigonometric equations, complex numbers, De Moivre’s Theorem. Fulfills Core Mathematics requirement.

1330. [MATH 1324] Introductory Mathematical Analysis (3:3:0). Prerequisite: Score on the mathematics placement examination of 3 or higher or a grade of B or better in MATH 0302 or 1300. Pre-calculus topics of interest to students of business and the social sciences. These include mathematics of finance, probability and statistics, and Markov processes. Cannot receive credit for both MATH 1330 and 1430. Fulfills Core Mathematics requirement.

1331. [MATH 1325, 1425] Introductory Mathematical Analysis (3:3:0). Prerequisite: Score on the mathematics placement examination of 4 or higher or MATH 1330. Contains an introduction to regression analysis and topics from differential and integral calculus that are of interest to students of business and the social sciences. Fulfills Core Mathematics requirement.

1350. [MATH 1348, 2312] Analytical Geometry (3:3:0). Prerequisite: Score on the mathematics placement examination of 6 or higher and knowledge of basic trigonometry or MATH 1320 and 1321. Fundamental concepts of analytical geometry. Fulfills Core Mathematics requirement.

1351. [MATH 2313, 2413, 2417, 2513, 2517] Calculus I (3:3:0). Score on the mathematics placement examination of 7, MATH 1350, 1550, or score on MPE of 5 and MATH 1321. Differentiation of algebraic and transcendental functions, applications of the derivative, differentials, indefinite integrals, definite integrals. Fulfills Core Mathematics requirement. (Honors section offered.)

1352. [MATH 2314, 2414, 2419, 2519] Calculus II (3:3:0). Prerequisite: MATH 1351 or consent. Methods of integration, parametric equations, polar coordinates, hyperbolic functions, applications. Fulfills Core Mathematics requirement. (Honors section offered.)

1420. [MATH 1414] College Algebra With Review (4:3:2). Prerequisite: MPE code 2 or higher or grade of B in MATH 0301. Review of topics from high school algebra, inequalities, functions and graphs, linear systems, sequences, mathematics induction. Cannot receive credit for both 1320 and 1420. Fulfills Core Mathematics requirement.

1430. Introductory Mathematical Analysis With Review (4:3:2). Prerequisite: MPE code 2 or higher or a grade of B in MATH 0301. Review of topics from high school algebra, pre-calculus topics of interest to students of business and the social sciences. These include mathematics of finance, probability and statistics, and Markov processes. Cannot receive credit for both MATH 1330 and 1430. Fulfills Core Mathematics requirement.

1550. [MATH 2412] Precalculus (5:5:0). Prerequisite: Score on the MPE of 3 or higher or a grade of A in MATH 0302. Topics from college algebra, trigonometry, and analytical geometry that are necessary prerequisites for Calculus I. Fulfills Core Mathematics requirement.

2000 Level Courses

2300. [MATH 1342, 1442, 2305, 2342, 2442] Statistical Methods (3:3:0). Prerequisite: Score on MPE of 4 or higher, MATH 1300, 1320, or equivalent. Methods of analyzing data, statistical concepts and models, estimation, tests of significance, introduction to analysis of variance, linear regression, and correlation. Fulfills Core Mathematics requirement.

2322. Analytical Geometry and Calculus for Engineering Technology I (3:3:0). Prerequisite: Score on MPE of 6 or higher or MATH 1320 and 1321. This course is intended for students of engineering technology. It covers selected topics in analytical geometry and stresses the geometric and physical aspects of calculus.

2323. Calculus for Engineering Technology II (3:3:0). Prerequisite: MATH 2322. This course is a continuation of MATH 2322.

2345. Introduction to Statistics with Application to Business (3:3:0). Prerequisite: At least a C in MATH 1330. Statistics and probability for business. Data collection, description, interpretation, prediction, inference, and computer software. Fulfills Core Mathematics requirement.

2350. [MATH 2315, 2415] Calculus III (3:3:0). Prerequisite: MATH 1352. Partial differentiation, functions of several variables, multiple integrals, line integrals, surface integrals, Stokes Theorem. Fulfills Core Mathematics requirement. (Honors section offered.)

2360. [MATH 2318, 2418] Linear Algebra (3:3:0). Prerequisite: MATH 1352. Finite-dimensional vector spaces, linear transformations and matrices, eigenvalues and eigenvectors. Fulfills Core Mathematics requirement.

2370. [MATH 1350] Elementary Analysis I (3:3:0). Prerequisite: MATH 1320, and sophomore standing. Analytic geometry and the real number system with applications. Not for engineering, science, or mathematics majors. Fulfills Core Mathematics requirement.

2371. Elementary Analysis II (3:3:0). Prerequisite: MATH 1350 or 2370. Elementary differential and integral calculus with application. Not for engineering, science, or mathematics majors. Fulfills Core Mathematics requirement.

3000 Level Courses

3310. Introduction to Mathematical Reasoning and Proof (3:3:0). Prerequisite: MATH 1352. Logic, techniques of proof, induction, writing proofs involving sets, relations, functions, graphs, number theory, and construction of real numbers. (Writing Intensive)

3322. Higher Mathematics for Engineering Technology (3:3:0). Prerequisite: MATH 2323. Topics include differential equations, Laplace transform, Fourier series, and vector and matrix algebra.

3342. Mathematical Statistics for Engineers and Scientists (3:3:0). Prerequisite: MATH 2350. Descriptive statistics, elementary probability, random variables and distributions, mean, variance, parameter estimation, hypothesis testing, regression, analysis of variance. MATH 3342 and 4332 cannot both be counted toward a mathematics major or minor.

3350. Higher Mathematics for Engineers and Scientists I (3:3:0). Prerequisite: MATH 2350 or concurrent registration with departmental consent. Ordinary differential equations. Laplace transforms. Other selected topics. MATH 3350 and 3354 may not both be counted toward a mathematics major or minor.

3351. Higher Mathematics for Engineers and Scientists II (3:3:0). Prerequisite: MATH 3350 or 3354. Partial differential equations and numerical methods. MATH 3351 and 4354 cannot both be counted toward a mathematics major or minor.

3354. Differential Equations I (3:3:0). Prerequisite: MATH 2350 and 2360. Solutions of ordinary differential equations, geometric and physical applications. MATH 3350 and 3354 may not both be counted toward a mathematics major or minor.

3360. Foundations of Algebra I (3:3:0). Prerequisite: MATH 2360 and 3310. Fundamental concepts of abstract algebra. Primarily group theory. (Writing Intensive)

3370. Elementary Geometry (3:3:0). Prerequisite: MATH 2370 and junior standing. Congruence and measures of plane and solid figures, similarity, areas, volumes, and a brief introduction to concepts in probability and statistics.

3371. Elements of Finite Mathematics (3:3:0). Prerequisite: MATH 1331, 1351, or 2371. Combinatorics, probability theory. Bayes’ Theorem, Bernoulli Trials. Probability distributions and statistics. Not for engineering, science, or mathematics majors.

3430. Computational Techniques for Science and Mathematics (4:3:2). Prerequisite: MATH 2360. Emphasis on scientific computing and problem solving techniques using state-of-the-art mathematics software packages. Restricted to mathematics majors or students enrolled in a secondary mathematics teacher program. Fulfills Core Technology and Applied Science requirement.

4000 Level Courses

4000. Selected Topics (V1-3). Prerequisite: Consent of undergraduate program director. Selected topics in upper division mathematics. May be repeated for credit.

4310. Introduction to Numerical Analysis I (3:3:0). Prerequisite: MATH 3350 or 3354, including an elementary knowledge of programming or consent of instructor. Interpolation, approximations, numerical integration, and differentiation.

4312. Introduction to Numerical Analysis II (3:3:0). Prerequisite: MATH 2360, including an elementary knowledge of programming or consent of instructor. Numerical techniques in linear algebra.

4330. Mathematical Computing (3:3:0). Prerequisite: Consent of the Director of Undergraduate Programs, Department of Mathematics and Statistics. Topics from computational mathematics and programming.

4331. Advanced Geometry (3:3:0). Prerequisite: MATH 2350 and 3310. Euclidean and non-Euclidean geometries.

4342, 4343. Mathematical Statistics (3:3:0 each). Prerequisite: MATH 2350. Frequency functions, moments, probability, correlation and regression, testing hypotheses, small sample distributions, analysis of variance, nonparametric methods, sequential analysis. 4342 is prerequisite for 4343. MATH 3342 and 4342 cannot both be counted toward a mathematics major or minor.

4350, 4351. Advanced Calculus (3:3:0 each). Prerequisite: MATH 2360 (MATH 3360 recommended). Sets, functions, vector fields, partial derivatives, power series, theory of integration, line, surface, and multiple integrals. 4350 is prerequisite for 4351. (4350 is Writing Intensive)

4354. Differential Equations II (3:3:0). Prerequisite: MATH 3354 or 3350. Partial differential equations and boundary value problems. MATH 4354 and 3351 may not both be counted toward a mathematics major or minor.

4356. Elementary Functions of Complex Variables (3:3:0). Prerequisite: MATH 2360 (MATH 4350 is recommended). The complex number system, functions of a complex variable, differentiation, elementary functions, and contour integration.

4360. Foundations of Algebra II (3:3:0). Prerequisite: MATH 3360. Continuation of MATH 3360. Rings, fields, and applications.

4362. Theory of Numbers (3:3:0). Prerequisite: MATH 2360 and 3310. Prime numbers, congruencies, theorems of Fermat, Euler, and Wilson, residues, reciprocity law, Diophantine Equations.

4370. Elementary Problem Solving (3:3:0). Prerequisite: MATH 2371, or equivalent. Techniques of problem solving using elementary number theory.

4371. Basic Computer Literacy and Programming (3:3:0). Prerequisite: MATH 2371 or equivalent. Computer literacy, structured programming, and problem solving using modern mathematical computing technology. (For students seeking elementary school certification as mathematics specialists).

(Back to Top)

5000 Level Courses

5101. Seminar in Algebra (1:1:0). Discussion of current research and topics of interest in algebra. Must be taken pass-fail. May be repeated for credit.

5102. Seminar in Analysis (1:1:0). Discussion of current research and topics of interest in analysis. Must be taken pass-fail. May be repeated for credit.

5103. Seminar in Control Theory (1:1:0). Discussion of current research and topics of interest in control theory. Must be taken pass-fail. May be repeated for credit.

5104. Seminar in Statistics (1:1:0). Discussion of current research and topics of interest in statistics. Must be taken pass-fail. May be repeated for credit.

5105. Seminar in Topology (1:1:0). Discussion of current research and topics of interest in topology. Must be taken pass-fail. May be repeated for credit.

5106. Seminar in Applied Mathematics (1:1:0). Discussion of current research and topics of interest in applied mathematics. Must be taken pass-fail. May be repeated for credit.

5107. Seminar in Biomathematics (1:1:0). Discussion of current research and topics of interest in biomathematics. Must be taken pass-fail. May be repeated for credit.

5310, 5311. Principles of Classical Applied Analysis I, II (3:3:0 each). Fourier series and integrals, discrete Fourier series, Laplace transforms, calculus of variations, Sturm-Louiville problems, integral equations, equations of fluids and solids, and ordinary and partial differential equations.

5312. Control Theory I (3:3:0). Prerequisite: MATH 2360, 3354, 4351, or consent of instructor. Linear dynamical systems, stability, frequency response and Laplace transform, feedback, state-space description, and geometric theory of linear systems. (M E 5312)

5313. Control Theory II (3:3:0). Prerequisite: MATH 5312, 5316, 5318, or consent of instructor. Quadratic regulator for linear systems, Kalman filtering, non-linear systems, stability, local controllability, and geometric theory of non-linear systems. (M E 5313)

5316. Applied Linear Algebra (3:3:0). Prerequisite: Consent of instructor. Solution of linear systems, matrix inversion, vector spaces, projections, determinants, eigenvalues and eigenvectors, Jordan form, computational methods, and applications.

5318, 5319. Intermediate Analysis I, II (3:3:0 each). The real number system, introduction to metric spaces, sequences, continuity, differentiation, Riemann integration, power series, functions of several variables, and differential forms.

5320, 5321. Functions of a Complex Variable I, II (3:3:0 each). Prerequisite: MATH 4350 or 4356. Analytic functions as mappings, Cauchy theorems, Laurent series, maximum modulus theorems and ramifications, normal families, Riemann mapping theorem, Weierstrass factorization theorem, Mittag-Leffler theory, analytic continuation, and harmonic functions.

5322, 5323. Functions of a Real Variable I, II (3:3:0 each). Prerequisite: MATH 5319 or equivalent. General measure and integration theory, Lp theory, differentiation theory, and basic functional analysis.

5324, 5325. Topology I, II (3:3:0 each). Prerequisite: MATH 4350 or consent of instructor. Point set theory, introduction to combinatorial topology and homology theory.

5326, 5327. Modern Algebra I, II (3:3:0 each). Prerequisite: MATH 3360 or consent of instructor. Groups, rings, fields, linear algebra, Galois theory.

5330. Theory of Ordinary Differential Equations I, II (3:3:0 each). Prerequisite: MATH 4351, 4354, or consent of instructor. Existence and uniqueness results, continuation of solutions, continuous dependence on data, linear equations, oscillation and comparison theorems, boundary value problems, and stability analysis.

5332, 5333. Partial Differential Equations I, II (3:3:0 each). Prerequisite: MATH 4351, 4354, or consent of instructor. Topics include first order equations, method of characteristics, parabolic, hyperbolic and elliptic equations, variational and Hilbert space methods.

5334, 5335. Numerical Analysis I, II (3:3:0 each). Prerequisite: MATH 5316 or equivalent. Stability and error analysis, numerical solution of ordinary and partial differential equations, integral equations.

5340, 5341. Functional Analysis I, II (3:3:0 each). Prerequisite: MATH 5322. Hilbert and Banach space theory, linear operator theory, the closed graph theorem, the open mapping theorem, the principle of uniform boundedness, linear functionals, dual spaces and weak topologies, distribution theory, topological vector spaces, spectral theory of compact and unbounded self-adjoint and unitary operators, and semigroup theory.

5342, 5343. Advanced Topics in Analysis I, II (3:3:0 each). Prerequisite: Consent of instructor. Current topics in analysis. May be repeated for credit.

5344, 5345. Topics in Numerical Analysis I, II (3:3:0 each). Prerequisite: MATH 5335. Current advanced topics in numerical analysis, research work using computers. May be repeated for credit.

5346. Advanced Topics in Applied Mathematics I (3:3:0). Prerequisite: Consent of instructor. Current topics in applied mathematics. May be repeated for credit.

5354. Biomathematics I (3:3:0). Prerequisite: Differential equations and linear algebra or consent of instructor. Qualitative and quantitative behavior of deterministic biological models are studied.

5355. Biomathematics II (3:3:0). Prerequisite: Statistics, differential equations, and linear algebra or consent of instructor. Qualitative and quantitative behavior of stochastic biological models are studied.

5356. Topics in Biomathematics (3:3:0). Prerequisite: Biomathematics II or consent of instructor. Current topics in biomathematics are studied such as biomechanics, mathematical epidemiology, mathematical neurology, mathematical opthalmology, and image processing. May be repeated for credit.

5360, 5361. Advanced Mathematics for Teachers I, II (3:3:0 each). Prerequisite: Consent of instructor. Selected topics in mathematics. May be repeated for credit.

5362. Theory of Numbers (3:3:0). Prerequisite: MATH 4362. Diophantine equations, binary quadratic forms, algebraic numbers, theory of number-theoretic functions, partitions, the prime number theorem.

5364, 5365. Computer Literacy and Programming I, II (3:3:0 each). Development of computer literacy and programming ability, algorithms and data structures, and recursion.

5382, 5383. Advanced Probability I, II (3:3:0 each). Prerequisite: MATH 5319 or consent of instructor. Measure and integration, axiomatic foundations of probability theory, random variables, distributions and their characteristic functions, stable and infinitely divisible laws, limit theorems for sums of independent random variables, conditioning, Martingales.

5399. Advanced Problems (3). Prerequisite: Graduate standing in mathematics. May be repeated for credit.

6000. Master's Thesis (V1-6).

6310. Master's Report (3).

7000. Research (V1-12).

8000. Doctor's Dissertation (V1-12).

(Back to Top)