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 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 3304 Linear Algebra 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: Algebraic Curv MTH 3306 Special Topics (3-0). Discussion of selected topics in mathematics. Course may be repeated as topics vary. Prerequisite: permission of instructor. 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 3308 Survey Of Basic Math Thry I 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 3309 Sur Of Basic Math Thry II 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 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 MTH 5305 Advanced Geometry (3-0). Classical geometry from an advanced viewpoint including Euclidean Geometry axiomatic systems constructability regular polytopes projective geometry and non-Euclidean geometry. Prerequisite: MTH 4301 or MTH 4307 or permission of the instructor. MTH 5307 Mathematics History MTH 5309 Advanced Algebra 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).