| MTH 3301 | Geometry |
MTH 3301 Geometry (3-0). Modern formal development of Euclidean geometry with congruences and constructions. Introduction to other geometries as time permits. Prerequisite: MATH 2311/MTH 3309, MATH 2413, or permission of instructor. Equivalent courses: MATH 3301 |
| MTH 3302 | Probability & Statistics I |
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. Equivalent courses: MATH 3302 |
| MTH 3305 | History of Mathematics |
MTH 3305 History of Mathematics (3-0). Biographies of mathematicians along with an exploration of the chronological development of important ideas in mathematics. Prerequisite: MATH 2413. Equivalent courses: MATH 3305 |
| MTH 3306 | Special Topics: Linear Algebra |
MTH 3306 Special Topics (3-0). Discussion of selected topics in mathematics. Course may be repeated as topics vary. Prerequisite: permission of instructor. Equivalent courses: MATH 3306 |
| MTH 3306 | ST: Fourier Series |
MTH 3306 Special Topics (3-0). Discussion of selected topics in mathematics. Course may be repeated as topics vary. Prerequisite: permission of instructor. Equivalent courses: MATH 3306 |
| MTH 3307 | Differential Equations |
MTH 3307 Differential Equations (3-0). First-order differential equations, linear differential equations of higher order, systems of linear differential equations, and applications. Prerequisite: MATH 2414. Equivalent courses: MATH 3307 |
| MTH 3308 | Found of Elem Mathematics I |
MTH 3308 Foundations of Elementary Math I (3-0). Numeration systems, foundations of arithmetic, fractions and decimal numbers, measurement concepts, and problem solving. Elementary Education majors only. Prerequisite: MATH 1314 |
| MTH 3309 | Found of Elem Mathematics II |
MTH 3309 Foundations of Elementary Math II (3-0). Geometric concepts, probability, statistics, estimation, problem solving and other related topics. Elementary Education majors only. Prerequisite: MTH 3308 |
| MTH 3330 | Number Theory & Cryptography |
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| MTH 3340 | Foundations of Higher Math |
MTH 3340 Foundations of Higher Mathematics (3-0). Organization and structure of mathematical thought. Writing and evaluating proofs. Topics include propositional logic, set theory, functions, sequences, relations, number theory, and graph theory. Prerequisite: MATH 2311 / MTH 3309 or MATH 2414. Equivalent courses: MATH 3340 |
| MTH 3415 | Calculus III |
MTH 3415 Calculus III (3-0). Calculus of functions of several variables, including partial derivatives, multiple integrals, and vector calculus. Prerequisite: MATH 2414 with a C or better. Equivalent courses: MATH 2415 (through Summer 2014), MATH 3415 |
| MTH 4301 | Modern Abstract Algebra |
MTH 4301 Modern Abstract Algebra (3-0). Congruence classes, group theory and its applications to number theory and geometry, introduction to rings, integral domains, and fields. Prerequisite: MATH 2318 and MATH 3301/MTH 3301 or permission of instructor. Equivalent courses: MTH 4301 |
| MTH 4320 | Real Analysis |
MTH 4320 Real Analysis (3-0). Topology of the real line, sequences, series, continuity, and differentiation. Prerequisite: MATH 2414. Equivalent courses: MATH 4320 |
| MTH 4360 | Complex Variables I |
MTH 4360 Complex Variables I (3-0). An introductory course covering functions of one complex variable. Topics will include: the algebra of complex numbers, geometry in the complex plane, polar representation of complex numbers, analytic functions, mappings, continuity, differentiability, Cauchy-Riemann equations, elementary functions of a complex variable, contour integrals and the Cauchy integral formula. Rotated with 4320 and 4330. Prerequisite: Math 2415. Equivalent courses: MATH 4360 |
| MTH 4390 | Senior Project |
MTH 4390 Senior Project (3-0). Directed individual studies in a mathematical topic of interest to the student. Emphasis on written and oral communication. Prerequisite: Completion of any 4000-level course with a C or better or permission of instructor. Equivalent courses: MATH 4390 |
| MTH 5301 | Special Topics: Topology |
MTH 5301 Special Topics in Mathematics (3-0). Selected topics in theoretical and applied mathematics. The course may be repeated for different topics. Offered when needed. Prerequisites: Permission of instructor. Equivalent courses: MATH 5301 |
| MTH 5301 | ST: Regular Polytopes |
MTH 5301 Special Topics in Mathematics (3-0). Selected topics in theoretical and applied mathematics. The course may be repeated for different topics. Offered when needed. Prerequisites: Permission of instructor. Equivalent courses: MATH 5301 |
| MTH 5305 | Advanced Geometry |
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| MTH 5307 | Mathematics History |
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| MTH 5309 | Advanced Algebra |
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| MTH 5311 | Real Analysis |
MTH 5311 Real Analysis (3-0). Metric spaces Lebesque measure integration differentiation function spaces and harmonic analysis. Prerequisite: MTH 4307 or permission of the instructor. |
| MTH 5316 | Fourier Ser&Ortho Funct |
MTH 5316 Fourier Series and Orthogonal Functions (3-0). Function spaces orthogonal functions Fourier series Legendre polynomials spherical harmonics heat and temperature waves and vibrations. Prerequisite: MTH 3303 and MTH 3304 or permission of the instructor. Equivalent courses: MTH 5303 (through Summer 2022). |
