Oklahoma State University

573

MATH 4143 Advanced Calculus I Prerequisites: MATH 2163, MATH 3013, and MATH 4023 with grades of “C” or better; grades of “B” or better recommended. Description: A rigorous treatment of calculus for functions of one and several variables. Elementary topology of Euclidean and metric spaces, continuity and uniform continuity, differentiation and integration in one variable. Honors and regular sections are offered and meet with MATH 5043. May not be used for degree credit with MATH 5043. Credit hours: 3 Contact hours: Lecture: 3

MATH 4283 Complex Variables Prerequisites: MATH 2163 with a grade of "C" or better.

Description: Properties of complex numbers, analytic functions of a complex variable, contour integrals, Cauchy's Integral Theorem, power series and Laurent series, residues and poles, conformal mapping, and applications. Previously offered as MATH 4673. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture

Levels: Undergraduate Schedule types: Lecture

Department/School: Mathematics MATH 4343 Introduction to Topology Prerequisites: MATH 4023 with a grade of "C" or better.

Department/School: Mathematics MATH 4153 Advanced Calculus II Prerequisites: MATH 4143 with grade of “C” or better; grade of “B” or better recommended. Description: Continuation of MATH 4143. A rigorous treatment of sequences and series of functions, uniform convergence, and differentiation and integration of vector-valued functions. Honors and regular sections are offered and meet with MATH 5053. May not be used for degree credit with MATH 5053. Credit hours: 3 Contact hours: Lecture: 3

Description: Topological spaces, basic point-set topology, introduction to surfaces and three-manifolds, introduction to knot theory, applications. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4403 Geometry Prerequisites: MATH 3013 with a grade of "C" or better; MATH 3613 with a grade of "C" or better recommended. Description: An axiomatic development of Euclidean and non-Euclidean geometries. Previously offered as MATH 4043. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4423 Geometry and Algorithms in Three-Dimensional Modeling Prerequisites: MATH 2163 and MATH 3013 and (CS 1113 or ENGR 1412) with grades of "C" or better. Description: A project-based introduction to 3D computer-aided design tools from a mathematical perspective. Students will learn some of the mathematical background behind computer representation and manipulation of 3D geometry and will apply their knowledge, via both graphical user and programming interfaces, to design and 3D-print models visualizing mathematical concepts. Written reports and oral presentation required. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4453 Mathematical Interest Theory Prerequisites: MATH 2153 with a grade of "C" or better. Description: Fundamental concepts of financial mathematics including simple and compound interest, inflation, yield rates, and equations of value for annuities, stocks, bonds, and other financial instruments. Determining equivalent measures of interest, determining yield rates, estimating rates of return, amortization. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics

Levels: Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4233 Intermediate Differential Equations

Prerequisites: MATH 2233 and MATH 3013 with grades of "C" or better. Description: Systems of differential equations, series solutions, special functions, elementary partial differential equations, Sturm-Liouville problems, stability and applications. Previously offered as MATH 4653. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics MATH 4263 Introduction to Partial Differential Equations Prerequisites: MATH 2163 and MATH 2233 and MATH 3013 with grades of "C" or better. Description: Solution of the standard partial differential equations (Laplace’s equation, transport equation, heat equation, wave equation) by separation of variables and transform methods, including eigenfunction expansions, Fourier and Laplace transform. Boundary value problems, Sturm-Liouville theory, orthogonality, Fourier, Bessel, and Legendre series, spherical harmonics. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate, Undergraduate Schedule types: Lecture Department/School: Mathematics