{"id":7452,"date":"2025-08-28T10:24:29","date_gmt":"2025-08-28T15:24:39","guid":{"rendered":"https:\/\/uwm.edu\/webid2-test-lsweb\/?page_id=7452"},"modified":"2026-03-04T16:38:40","modified_gmt":"2026-03-04T22:38:40","slug":"all-graduate-courses","status":"publish","type":"page","link":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/","title":{"rendered":"All Graduate Courses"},"content":{"rendered":"\n<p class=\"default \">Visit the <a href=\".\/upcoming-graduate-courses\/\">Upcoming Courses page<\/a> for a list of courses offered in the current and next semesters.<\/p>\n\n\n\n<hr class=\"has-css-opacity\" \/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-mathematics\">Mathematics<\/h2>\n\n\n\n<style>\ndd { \n margin-left: 30px;\n  margin-top: 0px;\n\tmargin-bottom: 0px;\n}\n\t\n\tdt {\n\t\tmargin-top: 25px;\n\t}\n<\/style>\n\n<dl><dt><strong>MATH\u00a0305 Introduction to Mathematical and Computational Modeling<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Construction and analysis of discrete and continuous mathematical models in applied, natural, and social sciences. Elements of programming, simulations, case studies from scientific literature.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0211(P), and one additional 200-level or higher MATH or MTHSTAT course, or a grade of C or better in MATH\u00a0213(P) or MATH\u00a0231(P).<\/dd><dd><strong>Course Rules: <\/strong>Counts as repeat of MATH\u00a0690(675) with topic 'Adv Math Models with Apps'.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0305G Introduction to Mathematical and Computational Modeling<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Construction and analysis of discrete and continuous mathematical models in applied, natural, and social sciences. Elements of programming, simulations, case studies from scientific literature.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0211(P), and one additional 200-level or higher MATH or MTHSTAT course, or a grade of C or better in MATH\u00a0213(P) or MATH\u00a0231(P).<\/dd><dd><strong>Course Rules: <\/strong>Counts as repeat of MATH\u00a0690(675) with topic 'Adv Math Models with Apps'.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0313 Linear Programming and Optimization<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Primal and dual formulations of linear programming problems; simplex and related methods of solution; algorithms for transportation; optimization.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0234(P), ELECENG\u00a0234(P), or MATH\u00a0240(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0313G Linear Programming and Optimization<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Primal and dual formulations of linear programming problems; simplex and related methods of solution; algorithms for transportation; optimization.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0234(P), ELECENG\u00a0234(P), or MATH\u00a0240(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0315 Mathematical Programming and Optimization<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Introduction to operations research. Network analysis; integer programming; game theory; nonlinear programming; dynamic programming.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0234(P) or MATH\u00a0240(P); and a grade of C or better in MATH\u00a0211(P) or MATH\u00a0233(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0315G Mathematical Programming and Optimization<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Introduction to operations research. Network analysis; integer programming; game theory; nonlinear programming; dynamic programming.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0234(P) or MATH\u00a0240(P); and a grade of C or better in MATH\u00a0211(P) or MATH\u00a0233(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0320 Introduction to Differential Equations<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Elementary types and systems of differential equations, series solutions, numerical methods, Laplace transforms, selected applications.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0232(P) and MATH\u00a0240(P), or a grade of C or better in MATH\u00a0234(P) or ELECENG\u00a0234(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>No grad cr in Math Sci.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0320G Introduction to Differential Equations<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Elementary types and systems of differential equations, series solutions, numerical methods, Laplace transforms, selected applications.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0232(P) and MATH\u00a0240(P), or a grade of C or better in MATH\u00a0234(P) or ELECENG\u00a0234(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>No grad cr in Math Sci.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0322 Introduction to Partial Differential Equations<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Partial differential equations of mathematical physics, boundary value problems in heat flow, vibrations, potentials, etc. Solved by Fourier series; Bessel functions and Legendre polynomials.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; MATH\u00a0320(P); and a grade of C or better in MATH\u00a0233(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0322G Introduction to Partial Differential Equations<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Partial differential equations of mathematical physics, boundary value problems in heat flow, vibrations, potentials, etc. Solved by Fourier series; Bessel functions and Legendre polynomials.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; MATH\u00a0320(P); and a grade of C or better in MATH\u00a0233(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0325 Vector Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Topics selected from vector algebra; scalar and vector fields; line, surface, and volume integrals; theorems of Green, Gauss, and Stokes; vector differential calculus.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor and a grade of C or better in MATH\u00a0233(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 321.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0325G Vector Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Topics selected from vector algebra; scalar and vector fields; line, surface, and volume integrals; theorems of Green, Gauss, and Stokes; vector differential calculus.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor and a grade of C or better in MATH\u00a0233(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 321.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0405 Mathematical Models and Applications<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Modeling techniques for analysis and decision-making in social and life sciences and industry. Deterministic and stochastic modeling. Topics may vary with instructors.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0211(P), or a grade of B or better in MATH\u00a0213(P), or a grade of C or better in MATH\u00a0231(P); and a grade of C or better in MATH\u00a0234(P), ELECENG\u00a0234(P), or MATH\u00a0240(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0405G Mathematical Models and Applications<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Modeling techniques for analysis and decision-making in social and life sciences and industry. Deterministic and stochastic modeling. Topics may vary with instructors.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0211(P), or a grade of B or better in MATH\u00a0213(P), or a grade of C or better in MATH\u00a0231(P); and a grade of C or better in MATH\u00a0234(P), ELECENG\u00a0234(P), or MATH\u00a0240(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0413 Introduction to Numerical Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Root finding and solution of nonlinear systems; direct solution of linear systems; interpolation & approximation of functions; least squares; fast Fourier transform; quadrature.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, grade of C or better in MATH\u00a0233(P), and either MATH\u00a0234(P) or ELECENG\u00a0234(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0413G Introduction to Numerical Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Root finding and solution of nonlinear systems; direct solution of linear systems; interpolation & approximation of functions; least squares; fast Fourier transform; quadrature.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, grade of C or better in MATH\u00a0233(P), and either MATH\u00a0234(P) or ELECENG\u00a0234(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0415 Introduction to Scientific Computing<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Nonlinear systems; iterative solution of linear systems; initial value problems in ordinary differential equations; boundary value problems in ordinary and partial differential equations.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, grade of C or better in MATH\u00a0233, and MATH\u00a0234 or ELECENG\u00a0234; or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0415G Introduction to Scientific Computing<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Nonlinear systems; iterative solution of linear systems; initial value problems in ordinary differential equations; boundary value problems in ordinary and partial differential equations.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, grade of C or better in MATH\u00a0233, and MATH\u00a0234 or ELECENG\u00a0234; or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0417 Computational Linear Algebra<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Direct solution of linear systems; iterative solution of linear systems; least squares; eigenvalue problems.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor and a grade of C or better in MATH\u00a0234, ELECENG\u00a0234, or MATH\u00a0240; or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0417G Computational Linear Algebra<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Direct solution of linear systems; iterative solution of linear systems; least squares; eigenvalue problems.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor and a grade of C or better in MATH\u00a0234, ELECENG\u00a0234, or MATH\u00a0240; or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0431 Modern Algebra with Applications<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Groups, rings, fields, Boolean algebras with emphasis on their applications to computer science and other areas.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0212 or MATH\u00a0232; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Does not carry graduate credit in math sci.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0431G Modern Algebra with Applications<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Groups, rings, fields, Boolean algebras with emphasis on their applications to computer science and other areas.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0212 or MATH\u00a0232; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Does not carry graduate credit in math sci.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0451 Axiomatic Geometry<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>An axiomatic approach to Euclidean and  non-Euclidean geometry (historic role of the parallel postulate and models).<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Department consent required for graduate credit in math sci.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024.<\/dd><\/dd><dt><strong>MATH\u00a0451G Axiomatic Geometry<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>An axiomatic approach to Euclidean and  non-Euclidean geometry (historic role of the parallel postulate and models).<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Department consent required for graduate credit in math sci.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024.<\/dd><\/dd><dt><strong>MATH\u00a0490 Topics in Mathematics:<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in a 200+ MATH or MTHSTAT course; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>May be retaken with change in topic to 9 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Summer 2022, Spring 2020.<\/dd><\/dd><dt><strong>MATH\u00a0490G Topics in Mathematics:<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in a 200+ MATH or MTHSTAT course; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>May be retaken with change in topic to 9 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Summer 2022, Spring 2020.<\/dd><\/dd><dt><strong>MATH\u00a0497 Study Abroad:<\/strong><\/dt><dd>1-12 cr. Undergraduate\/Graduate.<\/dd><dd>Designed to enroll students in 51ÁÔÆæ sponsored programs before course work level, content and credits are determined and\/or in specially prepared program course work.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing and acceptance for Study Abroad Program.<\/dd><dd><strong>Course Rules: <\/strong>May be retaken with change in topic.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2018.<\/dd><\/dd><dt><strong>MATH\u00a0497G Study Abroad:<\/strong><\/dt><dd>1-12 cr. Undergraduate\/Graduate.<\/dd><dd>Designed to enroll students in 51ÁÔÆæ sponsored programs before course work level, content and credits are determined and\/or in specially prepared program course work.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing and acceptance for Study Abroad Program.<\/dd><dd><strong>Course Rules: <\/strong>May be retaken with change in topic.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2018.<\/dd><\/dd><dt><strong>MATH\u00a0511 Symbolic Logic<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>First-order predicate calculus; formal properties of theoretical systems; chief results of modern mathematical logic; advanced topics such as completeness and computability.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; PHILOS\u00a0212(P) or 6 cr of MATH at the 300-level or above; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>COMPSCI\u00a0511, MATH\u00a0511 and PHILOS\u00a0511 are jointly offered and count as repeat of each other.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2019, Spring 2017.<\/dd><\/dd><dt><strong>MATH\u00a0511G Symbolic Logic<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>First-order predicate calculus; formal properties of theoretical systems; chief results of modern mathematical logic; advanced topics such as completeness and computability.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; PHILOS\u00a0212(P) or 6 cr of MATH at the 300-level or above; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>COMPSCI\u00a0511, MATH\u00a0511 and PHILOS\u00a0511 are jointly offered and count as repeat of each other.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2019, Spring 2017.<\/dd><\/dd><dt><strong>MATH\u00a0523 Advanced Calculus I<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Fundamental notions of sets and functions; limits, continuity; Riemann integral, improper integral; infinite series; uniform convergence; power series; improper integrals with a parameter.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0232(P) and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 521.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024.<\/dd><\/dd><dt><strong>MATH\u00a0523G Advanced Calculus I<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Fundamental notions of sets and functions; limits, continuity; Riemann integral, improper integral; infinite series; uniform convergence; power series; improper integrals with a parameter.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0232(P) and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 521.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024.<\/dd><\/dd><dt><strong>MATH\u00a0524 Advanced Calculus II<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Linear functions; differentiation of functions of several variables (implicit functions, Jacobians); change of variable in multiple integrals; integrals over curves, surfaces; Green, Gauss, Stokes theorems.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, MATH\u00a0523(521)(P), a grade of C or better in MATH\u00a0233(P), and a grade of C or better in MATH\u00a0234(P) or MATH\u00a0240(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 522.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025.<\/dd><\/dd><dt><strong>MATH\u00a0524G Advanced Calculus II<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Linear functions; differentiation of functions of several variables (implicit functions, Jacobians); change of variable in multiple integrals; integrals over curves, surfaces; Green, Gauss, Stokes theorems.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, MATH\u00a0523(521)(P), a grade of C or better in MATH\u00a0233(P), and a grade of C or better in MATH\u00a0234(P) or MATH\u00a0240(P); or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 522.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025.<\/dd><\/dd><dt><strong>MATH\u00a0529 Structure of Real and Complex Numbers<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Construction of the real and complex number systems; topology of the real line and the complex plane; sequences and series of complex numbers.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0529G Structure of Real and Complex Numbers<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Construction of the real and complex number systems; topology of the real line and the complex plane; sequences and series of complex numbers.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0531 Modern Algebra<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Integers; groups; rings; fields; emphasis on proofs.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0341(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0531G Modern Algebra<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Integers; groups; rings; fields; emphasis on proofs.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0341(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0535 Linear Algebra<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Vector spaces; systems of linear equations; linear transformations and matrices; bilinear, quadratic, and Hermitian forms; eigentheory; canonical forms; selected topics. Emphasizes theory and proof.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, a grade of C or better in MATH\u00a0234(P) or MATH\u00a0240(P), and a grade of C or better in MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0535G Linear Algebra<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Vector spaces; systems of linear equations; linear transformations and matrices; bilinear, quadratic, and Hermitian forms; eigentheory; canonical forms; selected topics. Emphasizes theory and proof.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, a grade of C or better in MATH\u00a0234(P) or MATH\u00a0240(P), and a grade of C or better in MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0537 Number Theory<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Number theoretic functions; distribution of primes; Diophantine approximation; partitions; additive number theory; quadratic reciprocity.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and grade of C or better in MATH\u00a0232(P) and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2019, Fall 2016.<\/dd><\/dd><dt><strong>MATH\u00a0537G Number Theory<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Number theoretic functions; distribution of primes; Diophantine approximation; partitions; additive number theory; quadratic reciprocity.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and grade of C or better in MATH\u00a0232(P) and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2019, Fall 2016.<\/dd><\/dd><dt><strong>MATH\u00a0551 Elementary Topology<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>General theory of point sets in Euclidean spaces, with emphasis on topology of two-dimensional and three-dimensional spaces; elementary notions of metric spaces; applications.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0233(P) and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0551G Elementary Topology<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>General theory of point sets in Euclidean spaces, with emphasis on topology of two-dimensional and three-dimensional spaces; elementary notions of metric spaces; applications.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; a grade of C or better in MATH\u00a0233(P) and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0553 Differential Geometry<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>The theory of curves and surfaces by differential methods.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0233(P), MATH\u00a0234(P), and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0553G Differential Geometry<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>The theory of curves and surfaces by differential methods.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and a grade of C or better in MATH\u00a0233(P), MATH\u00a0234(P), and MATH\u00a0341(P); or graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0575 High School Mathematics from an Advanced Viewpoint<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Number systems; algebra of polynomials; theory of equations; functions; modeling; geometric measurement; geometric transformations; connections between advanced mathematics and high school topics.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, MATH\u00a0341(P) and an additional 6 credits of Math at the 300 level or above; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Counts as repeat of MATH\u00a0690 with similar topic.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025.<\/dd><\/dd><dt><strong>MATH\u00a0575G High School Mathematics from an Advanced Viewpoint<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Number systems; algebra of polynomials; theory of equations; functions; modeling; geometric measurement; geometric transformations; connections between advanced mathematics and high school topics.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, MATH\u00a0341(P) and an additional 6 credits of Math at the 300 level or above; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Counts as repeat of MATH\u00a0690 with similar topic.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025.<\/dd><\/dd><dt><strong>MATH\u00a0690 Topics in Mathematics:<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and at least one U\/G MATH or MTHSTAT course; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>May be retaken with change in topic to 9 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0690G Topics in Mathematics:<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Specific topics and any additional prerequisites announced in Schedule of Classes each time course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and at least one U\/G MATH or MTHSTAT course; or graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>May be retaken with change in topic to 9 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0703 Advanced Engineering Mathematics I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Sequences and series, elementary complex analysis; Fourier series; linear and nonlinear ordinary differential equations; matrix theory, elementary functional analysis; elementary solution of partial differential equations.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; or junior standing; grade of C or better in both MATH\u00a0233(P) and MATH\/ELECENG\u00a0234(P); 3 cr MATH at 300-level or above; or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0603.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0704 Advanced Engineering Mathematics II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 703. Partial differential equations, Fourier and Laplace transforms, convolutions, special functions, mathematical modeling.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MATH\u00a0703(P).<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0604.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0710 Numerical Solution of Partial Differential Equations<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Finite difference and finite element methods for boundary value and evolution problems; solution of hyperbolic conservation laws; consistency, convergence, and stability; iterative methods for related linear systems.<\/dd><dd><strong>Prerequisites: <\/strong>graudate standing; MATH\u00a0413(P), MATH\u00a0415(414)(P), or MATH\u00a0417(416)(P); MATH\u00a0322(P), MATH\u00a0604(602)(P), or MATH\u00a0704(P); or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0610(615). Previously MATH 707.<\/dd><\/dd><dt><strong>MATH\u00a0717 Optimization<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Introduction of numerical algorithms for unconstrained and constrained optimization, nonlinear programming, least-squares problems, quadratic programming, Karush-Kuhn-Tucker theory, penalty and augmented Lagrangian methods.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0313(P), MATH\u00a0315(P), MATH\u00a0417(P), MATH\u00a0604(602)(P), or MATH\u00a0704(P); or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0617. Previously MATH 708.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0723 Introduction to Analysis I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Topology of Euclidean space; continuity; differentiation of real and vector-valued functions; Riemann-Stieltjes integration.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0623(621).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Spring 1987.<\/dd><\/dd><dt><strong>MATH\u00a0724 Introduction to Analysis II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 723. Sequences and series of functions; uniform convergence; power series; functions of several variables; inverse and implicit function theorems; differential forms; Stokes' theorem.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0723(P) or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0624(622). Previously MATH 722.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0735 Modern Algebra I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Group theory, including normal subgroups, quotients, permutation groups, Sylow's theorems, Abelian groups; field theory; linear algebra over general fields.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0635(631).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0736 Modern Algebra II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 735. Ring theory, including ideals, quotient rings, Euclidean rings, polynomial rings, unique factorization; modules, including vector spaces, linear transformations, canonical forms; bilinear forms.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0636(632).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Fall 2005.<\/dd><\/dd><dt><strong>MATH\u00a0783 Introduction to Probability Models<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Probability review, Markov chains in discrete and continuous time. Random walks, branching processes, birth and death processes. Queuing theory. Applications to physical sciences, engineering, mathematics.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing or consent of instructor; recommended are courses in multivariable calculus, elementary linear algebra and differential equations, and one calculus-based course in statistics or probability at the 300 level or above.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH\u00a0583(571).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Fall 2021.<\/dd><\/dd><dt><strong>MATH\u00a0799 Seminar in Mathematics:<\/strong><\/dt><dd>1-3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites announced in Timetable each time course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 9 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0803 Industrial Mathematics I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Elementary functional analysis, wavelets, control theory. Use of mathematical software emphasized throughout.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing in natural science discipline; MATH\u00a0524(522)(P), MATH\u00a0604(602)(P), MATH\u00a0624(622)(P), or MATH\u00a0704(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 701.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2021, Fall 2019, Fall 2017, Fall 2015.<\/dd><\/dd><dt><strong>MATH\u00a0804 Industrial Mathematics II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Optimal control theory, digital signal processing, image processing, linear programming, nonlinear optimation, artificial neural networks. Use of mathematical software emphasized throughout.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing in natural science discipline; MATH\u00a0803(701)(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 702.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2022, Spring 2020, Spring 2018, Spring 2014.<\/dd><\/dd><dt><strong>MATH\u00a0807 Group Theory and Its Applications to Physics<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Representations of discrete and continuous groups, including rotation groups, unitary groups and crystal point and space groups. Symmetries of elementary particles. Molecular obitals, energy bands.<\/dd><dd><strong>Prerequisites: <\/strong>grad st; Physics 532(P).<\/dd><dd><strong>Course Rules: <\/strong>Counts as a repeat of Physics 807.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2021, Spring 2019, Spring 2018.<\/dd><\/dd><dt><strong>MATH\u00a0810 Numerical Analysis I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Polynomial interpolation and approximation; numerical differentiation and integration; direct and iterative methods for linear systems; and iterative methods for nonlinear algebraic equations.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0413(P); MATH\u00a0523(521)(P), MATH\u00a0623(621)(P), or MATH\u00a0723(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 715.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2021.<\/dd><\/dd><dt><strong>MATH\u00a0811 Numerical Analysis II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Numerical methods for initial value problems of ordinary differential equations; gradient descent and conjugate gradient methods and preconditioning techniques for solving large scale sparse linear systems; orthogonal polynomials and least squares techniques.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0810(P) or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 805.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 1993, Fall 1985.<\/dd><\/dd><dt><strong>MATH\u00a0816 Ordinary Differential Equations<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Existence and uniqueness theorems for systems of ode; qualitative properties of solutions, including stability and asymptotic behavior; general theory of linear systems; sturm-liouville problems.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P), MATH\u00a0624(622)(P), or MATH\u00a0724(P).<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH 716.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023, Spring 2010, Spring 2006, Spring 2004.<\/dd><\/dd><dt><strong>MATH\u00a0819 Partial Differential Equations<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>First and second order equations; characteristics, cauchy problem; classical solutions of linear elliptic, parabolic and hyperbolic equations.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P), MATH\u00a0624(622)(P), or MATH\u00a0724(P); MATH\u00a0320(P).<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH 719.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2024, Fall 2000, Fall 1996, Spring 1996.<\/dd><\/dd><dt><strong>MATH\u00a0823 Theory of Functions of a Real Variable I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Equivalence relations; cardinal and ordinal numbers; topology of real line; cantor and borel sets; lebesgue measure on real line; baire and measurable functions; lebesgue integral.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P) and MATH\u00a0551(P); or MATH\u00a0624(622)(P) or MATH\u00a0724(P).<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH 711.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Spring 1989.<\/dd><\/dd><dt><strong>MATH\u00a0824 Theory of Functions of a Real Variable II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Lebesgue integration; modes of convergence; lp spaces; vitali covering and lebesgue density theorems; dini derivates; differentiation; fundamental theorem of the lebesgue integral calculus; fubini's theorem.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0823(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 712.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0825 Functional Analysis I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Basic notions of functional analysis in hilbert space will be introduced. The concepts will be illustrated by applications to elementary differential and integral equation problems.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P), MATH\u00a0624(622)(P), or MATH\u00a0724(P).<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH 726.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023, Spring 2013, Fall 1998, Fall 1994.<\/dd><\/dd><dt><strong>MATH\u00a0826 Functional Analysis II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 825.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MATH\u00a0825(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 1999, Spring 1994, Spring 1993.<\/dd><\/dd><dt><strong>MATH\u00a0827 Theory of Functions of a Complex Variable I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Complex numbers; linear transformations; elementary functions; conformal mapping; complex integration; infinite sequences; dirichlet problem; multivalued functions.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P), MATH\u00a0623(621)(P), or MATH\u00a0723(P).<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH 713.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024, Fall 2022, Spring 1995.<\/dd><\/dd><dt><strong>MATH\u00a0828 Theory of Functions of a Complex Variable II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 827.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0827(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 714.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2023, Spring 2021, Spring 2019.<\/dd><\/dd><dt><strong>MATH\u00a0835 Abstract Algebra I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Basic course which is prerequisite for all other 800-899 level courses in algebra; groups, rings, fields, galois theory, modules, and categories.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0636(632)(P) or MATH\u00a0736(P); consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 731.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2021.<\/dd><\/dd><dt><strong>MATH\u00a0836 Abstract Algebra II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 835(731).<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0835(731)(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 732.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0843 Homological Algebra I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Modules; diagrams; categories; functors; complexes; cohomology; extensions; resolutions; injective and projective systems; graded modules; homological dimension; spectral sequences; derived functors.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0835(731)(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2019, Fall 2015, Fall 2010, Fall 2002.<\/dd><\/dd><dt><strong>MATH\u00a0844 Homological Algebra II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of Math 843.<\/dd><dd><strong>Prerequisites: <\/strong>grad st; Math 843(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2020, Spring 2016, Spring 2011, Spring 2003.<\/dd><\/dd><dt><strong>MATH\u00a0853 Differential Geometry<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Theory of curves, surfaces, and manifolds in modern terminology. Global results on closed surfaces, geodesics, differential forms and tensor calculus. Introduction to Riemannian geometry.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P), MATH\u00a0624(622)(P), or MATH\u00a0724(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 709.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2007, Fall 2000.<\/dd><\/dd><dt><strong>MATH\u00a0854 Topics in Differential Geometry:<\/strong><\/dt><dd>1-3 cr. Graduate.<\/dd><dd>Topics may be selected from Riemannian geometry, minimal surfaces and surfaces of prescribed mean curvature, geometric partial differential equations, or related areas of geometry.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Specific topics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered. Retakable with change in topic to 24 cr max. Previously MATH 809.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2008, Spring 2001.<\/dd><\/dd><dt><strong>MATH\u00a0855 Introductory Topology I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Fundamental properties and examples of topological spaces and continuous functions, including compactness, connectedness, metrizability, completeness, product and quotient spaces, homeomorphisms, embedding, extension, and euclidean spaces.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0524(522)(P), MATH\u00a0623(621)(P), or MATH\u00a0723(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 751.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2021.<\/dd><\/dd><dt><strong>MATH\u00a0856 Introductory Topology II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 855(751).<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0855(751)(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 752.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MATH\u00a0857 Introduction to Algebraic Topology I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Homology theory; complexes and simplicial homology theory; general homology theories; cohomology rings; applications to manifolds, fixed point theorems, etc.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0636(632)(P) or MATH\u00a0736(P); MATH\u00a0551(P) or MATH\u00a0855(751)(P) or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MATH 753.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0858 Introduction to Algebraic Topology II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MATH 857.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0857(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 754.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2023, Spring 2021, Spring 2019.<\/dd><\/dd><dt><strong>MATH\u00a0883 Theory of Probability<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Measure-theoretic foundations; limit-law theorems; weak and strong laws of large numbers; central limit problem; conditional expectations, martingales; stochastic processes.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0824(712)(C).<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 771.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023, Spring 2022, Spring 2020, Spring 2018.<\/dd><\/dd><dt><strong>MATH\u00a0884 Stochastic Calculus and Applications<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Basic stochastic analysis and control theories and techniques; their applications to model and analyze real-world applications in which random noises are inherent.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0883(P) or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Previously MATH 777.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2024.<\/dd><\/dd><dt><strong>MATH\u00a0888 Candidate for Degree<\/strong><\/dt><dd>0 cr. Graduate.<\/dd><dd>Available for graduate students who must meet minimum credit load requirement.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>Fee for 1 cr assessed; unit does not count towards credit load for Fin Aid. Repeatable. Satisfactory\/Unsatisfactory only.<\/dd><dd><strong>Last Taught: <\/strong>Summer 2017.<\/dd><\/dd><dt><strong>MATH\u00a0890 Master's Thesis<\/strong><\/dt><dd>1-3 cr. Graduate.<\/dd><dd>Course for students completing supervised Master's Thesis.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Credit(s) count toward Master's degree only if student completes thesis option. Repeatable to 12 cr max. Previously MATH 790.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024, Spring 2024, Summer 2023.<\/dd><\/dd><dt><strong>MATH\u00a0891 Master's Seminar<\/strong><\/dt><dd>1-3 cr. Graduate.<\/dd><dd>Course for students completing Master's Project.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>May not be taken for credit more than once. Previously MATH 791.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2020, Summer 2018, Spring 2014, Fall 2013.<\/dd><\/dd><dt><strong>MATH\u00a0892 Industrial Internship<\/strong><\/dt><dd>1-3 cr. Graduate.<\/dd><dd>Students earn credits for serving in an industrial internship that involves work of an advanced mathematical nature. They must prepare a report based on the internship.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable to 6 cr max. Previously MATH 792.<\/dd><dd><strong>Last Taught: <\/strong>Summer 2022, Summer 2021, Summer 2019, Summer 2018.<\/dd><\/dd><dt><strong>MATH\u00a0893 Scientific Computational Laboratory:<\/strong><\/dt><dd>1-2 cr. Graduate.<\/dd><dd>Scientific programming and numerical study (in Python\/Matlab) on numerical algorithms for solving linear and nonlinear systems, data interpolation\/fitting, and differential equations (initial and boundary value problems).<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0810(715)(C).<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 6 cr max. Previously MATH 793.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2022, Spring 2021, Spring 2019, Spring 2017.<\/dd><\/dd><dt><strong>MATH\u00a0899 Seminar in Advanced Mathematics<\/strong><\/dt><dd>1-3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites announced in the Schedule of Classes each time course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024, Spring 2024, Fall 2023.<\/dd><\/dd><dt><strong>MATH\u00a0901 Topics in Applied Mathematics:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics in applied mathematics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max. Previously MATH 801.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2022, Fall 2021, Fall 2018, Fall 2016.<\/dd><\/dd><dt><strong>MATH\u00a0910 Topics in Numerical Analysis:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0810(715)(P).<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max. Previously MATH 815.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2024, Spring 2022, Spring 2020, Spring 2018.<\/dd><\/dd><dt><strong>MATH\u00a0921 Advanced Topics in Real Analysis:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0824(712)(P).<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max. Previously MATH 821.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2019, Fall 2017, Fall 2012, Fall 1998.<\/dd><\/dd><dt><strong>MATH\u00a0941 Advanced Topics in Algebra:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0836(732)(P); consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max. Previously MATH 841.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023, Fall 2022, Spring 2021, Fall 2020.<\/dd><\/dd><dt><strong>MATH\u00a0951 Advanced Topics in Topology:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MATH\u00a0856(752)(P); consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max. Previously MATH 851.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Fall 2023, Spring 2023.<\/dd><\/dd><dt><strong>MATH\u00a0983 Advanced Topics in Probability:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max. Previously MATH 873.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Spring 2024, Fall 2023, Fall 2022.<\/dd><\/dd><dt><strong>MATH\u00a0990 Reading and Research<\/strong><\/dt><dd>1-6 cr. Graduate.<\/dd><dd>To be arranged with your instructor and department chair.<\/dd><dd><strong>Prerequisites: <\/strong>grad st.<\/dd><dd><strong>Course Rules: <\/strong>Retakable.<\/dd><dd><strong>Last Taught: <\/strong>Summer 2025, Spring 2025, Fall 2024, Summer 2024.<\/dd><\/dd><\/dl>\n\n\n\n<hr class=\"has-alpha-channel-opacity\" \/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-actuarial-science\">Actuarial Science<\/h2>\n\n\n\n<style>\ndd { \n margin-left: 30px;\n  margin-top: 0px;\n\tmargin-bottom: 0px;\n}\n\t\n\tdt {\n\t\tmargin-top: 25px;\n\t}\n<\/style>\n\n<dl><dt><strong>ACTSCI\u00a0790 Actuarial Internship<\/strong><\/dt><dd>1-6 cr. Graduate.<\/dd><dd>Apply principles and techniques of actuarial science in business, governmental and other appropriate settings.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Course Rules: <\/strong>One cr earned for academic work based on 40 hours in internship. May be retaken to 6 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Summer 2025, Spring 2025, Summer 2024, Summer 2023.<\/dd><\/dd><dt><strong>ACTSCI\u00a0791 Investment Mathematics II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Mathematical models in finance and economics, corporate finance.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2022, Fall 2021, Fall 2020.<\/dd><\/dd><dt><strong>ACTSCI\u00a0793 Actuarial Models I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Long term insurance coverage, single life survival models, life insurance, annuities, benefit and premium random variables, mortality models.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2020.<\/dd><\/dd><dt><strong>ACTSCI\u00a0794 Actuarial Models II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Long term insurance coverage, single life survival models, life insurance, annuities, benefit and premium random variables, mortality models.<\/dd><dd><strong>Prerequisites: <\/strong>grad st; ACTSCI\u00a0593(P); MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2023, Spring 2021.<\/dd><\/dd><dt><strong>ACTSCI\u00a0796 Actuarial Statistics I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Loss models for short term insurance and their statistical fitting.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2021.<\/dd><\/dd><dt><strong>ACTSCI\u00a0797 Actuarial Statistics II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Credibility theory, ratemaking and reserving.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2024, Spring 2022, Spring 2020.<\/dd><\/dd><dt><strong>ACTSCI\u00a0891 Actuarial Risk Theory<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Risk models; premium principles; reinsurance contracts; ruin theory; ordering of risks; bonus-malus systems; IBNR techniques.<\/dd><dd><strong>Prerequisites: <\/strong>grad st; MATH 571(P) & ACTSCI\u00a0596(P), or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>Previously MTHSTAT 795.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2024, Spring 2022, Fall 2019, Fall 2017.<\/dd><\/dd><dt><strong>ACTSCI\u00a0895 Topics in Actuarial Science:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Advanced topics in actuarial science.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; 6 credits of 700 level ACTSCI coursework.<\/dd><dd><strong>Course Rules: <\/strong>Repeatable to 9 credits max. Counts as a repeat of MTHSTAT 896 with a similar topic.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2023, Spring 2021.<\/dd><\/dd><\/dl>\n\n\n\n<hr class=\"has-alpha-channel-opacity\" \/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-statistics\">Statistics<\/h2>\n\n\n\n<style>\ndd { \n margin-left: 30px;\n  margin-top: 0px;\n\tmargin-bottom: 0px;\n}\n\t\n\tdt {\n\t\tmargin-top: 25px;\n\t}\n<\/style>\n\n<dl><dt><strong>MTHSTAT\u00a0361 Introduction to Mathematical Statistics I<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Probability spaces; discrete and continuous, univariate and multivariate distributions; moments; independence, random sampling, sampling distributions; normal and related distributions; point and interval estimation.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MATH\u00a0212(P) or MATH\u00a0233(P).<\/dd><dd><strong>Course Rules: <\/strong>Not recommended for graduate students in math, or students not planning to take MTHSTAT\u00a0362.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0361G Introduction to Mathematical Statistics I<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Probability spaces; discrete and continuous, univariate and multivariate distributions; moments; independence, random sampling, sampling distributions; normal and related distributions; point and interval estimation.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MATH\u00a0212(P) or MATH\u00a0233(P).<\/dd><dd><strong>Course Rules: <\/strong>Not recommended for graduate students in math, or students not planning to take MTHSTAT\u00a0362.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0362 Introduction to Mathematical Statistics II<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free methods; sequential methods.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0361(P).<\/dd><dd><strong>Course Rules: <\/strong>Not recommended for graduate students in math.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0362G Introduction to Mathematical Statistics II<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free methods; sequential methods.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0361(P).<\/dd><dd><strong>Course Rules: <\/strong>Not recommended for graduate students in math.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Fall 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0562 Design of Experiments<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; split-plot experiments; fractional replication.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; MTHSTAT\u00a0362(P); and MATH\u00a0234(P) or MATH\u00a0240(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2008, Fall 2006.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0562G Design of Experiments<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; split-plot experiments; fractional replication.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; MTHSTAT\u00a0362(P); and MATH\u00a0234(P) or MATH\u00a0240(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2008, Fall 2006.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0563 Regression Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Straight line, polynomial and multiple regression; multiple and partial correlation; testing hypotheses in regression; residual analysis.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; and MTHSTAT 467(P) or MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0563G Regression Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Straight line, polynomial and multiple regression; multiple and partial correlation; testing hypotheses in regression; residual analysis.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; and MTHSTAT 467(P) or MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0564 Time Series Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Autocorrelation; spectral density; linear models; forecasting; model identification and estimation.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0564G Time Series Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Autocorrelation; spectral density; linear models; forecasting; model identification and estimation.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0565 Nonparametric Statistics<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Sign, rank and permutation tests; tests of randomness and independence; methods for discrete data and zeroes and ties; power and efficiency of nonparametric tests.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2012, Spring 2010.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0565G Nonparametric Statistics<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Sign, rank and permutation tests; tests of randomness and independence; methods for discrete data and zeroes and ties; power and efficiency of nonparametric tests.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2012, Spring 2010.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0566 Computational Statistics<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Basics of programming and optimization techniques; resampling, bootstrap, and Monte Carlo methods; design and analysis of simulation studies.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0566G Computational Statistics<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Basics of programming and optimization techniques; resampling, bootstrap, and Monte Carlo methods; design and analysis of simulation studies.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor, and MTHSTAT\u00a0362(P).<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0568 Multivariate Statistical Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Multivariate normal distribution; Wishart distribution; Hotelling's T2; multivariate normal distribution; multivariate analysis of variance; classification problems.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; MTHSTAT\u00a0362(P); and MATH\u00a0234(P) or MATH\u00a0240(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0568G Multivariate Statistical Analysis<\/strong><\/dt><dd>3 cr. Undergraduate\/Graduate.<\/dd><dd>Multivariate normal distribution; Wishart distribution; Hotelling's T2; multivariate normal distribution; multivariate analysis of variance; classification problems.<\/dd><dd><strong>Prerequisites: <\/strong>junior standing or consent of instructor; MTHSTAT\u00a0362(P); and MATH\u00a0234(P) or MATH\u00a0240(P).<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0760 Data Preparation and Exploration<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Data preparation, including data cleaning, imputation of missing data, detection of outliers, feature selection, data transformations, and data exploration.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MTHSTAT\u00a0362(P); or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No cr for students with cr in MTHSTAT\u00a0560.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0763 Regression Analysis<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Introduction to linear statistical models and methods. Core topics include: simple and multiple linear regression, model checking, variable transformations, outlier diagnostics, variable selection, and generalized linear models such as logistic regression.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MTHSTAT\u00a0362(P) or MTHSTAT 467(P); or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MTHSTAT\u00a0563.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2021.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0764 Time Series Analysis<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Introduction to statistical models and methods for time series data analysis. Core topics include: exponential smoothing, ARIMA models, transfer functions and intervention models, state-space models, GARCH models.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MTSTAT 362(P) or MTHSTAT 467(P); or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MTHSTAT\u00a0564.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0765 Nonparametric Statistics<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Nonparametric and smoothing statistical methods for data analysis. Core topics include: order statistics, rank tests, kernel density estimation, robust linear regression, kernel and spline smoothing for curve fitting, bootstrap inference.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MTHSTAT\u00a0362(P) or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MTHSTAT\u00a0565. Counts as repeat of MTHSTAT\u00a0869 topic Nonparametric and Smoothing Statistical Methods.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0766 Computational Statistics<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Introduction to statistical computer programming. Main topics include: basics of programming in R or similar language; optimization and root-finding algorithms; Monte Carlo numerical integration; random sample generation; bootstrap and permutation tests; comparative simulation studies.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MTHSTAT\u00a0362(P) or MTHSTAT 467(P), or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MTHSTAT\u00a0566.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2021.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0768 Multivariate Statistical Analysis<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Introduction to statistical models and methods for multivariate data analysis. Core topics include: multivariate random vectors and distributions, principal component analysis, canonical correlation analysis, factor analysis, classification and discrimination, clustering techniques, and multidimensional scaling.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing; MTHSTAT\u00a0362(P) or MTHSTAT 467(P), or consent of instructor.<\/dd><dd><strong>Course Rules: <\/strong>No credit for students with credit in MTHSTAT\u00a0568.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Spring 2022.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0869 Advanced Topics in Mathematical Statistics:<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Specific topics and any additional prerequisites will be announced in the Timetable each time the course is offered.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MTHSTAT 762(P).<\/dd><dd><strong>Course Rules: <\/strong>Retakable with change in topic to 24 cr max.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2023, Fall 2021, Fall 2020, Spring 2019.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0871 Mathematical Statistics I<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Probability and distribution theory; point and interval estimation; testing hypotheses; large sample inference; nonparametric inference; sequential analysis.<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MATH\u00a0524(522)(C), MATH\u00a0624(622)(C), or MATH\u00a0724(C).<\/dd><dd><strong>Course Rules: <\/strong>Previously MTHSTAT 761.<\/dd><dd><strong>Last Taught: <\/strong>Fall 2024, Fall 2023, Fall 2022, Fall 2021.<\/dd><\/dd><dt><strong>MTHSTAT\u00a0872 Mathematical Statistics II<\/strong><\/dt><dd>3 cr. Graduate.<\/dd><dd>Continuation of MTHSTAT 871(761).<\/dd><dd><strong>Prerequisites: <\/strong>graduate standing and MTHSTAT\u00a0871(761)(P).<\/dd><dd><strong>Course Rules: <\/strong>Previously MTHSTAT 762.<\/dd><dd><strong>Last Taught: <\/strong>Spring 2025, Spring 2024, Spring 2023, Spring 2022.<\/dd><\/dd><\/dl>\n\n\n\n<hr class=\"has-alpha-channel-opacity\" \/>\n","protected":false},"excerpt":{"rendered":"<p>Visit the Upcoming Courses page for a list of courses offered in the current and next semesters. Mathematics Actuarial Science Statistics<\/p>\n","protected":false},"author":1272,"featured_media":6706,"parent":15247,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","uwm_wg_additional_authors":[]},"class_list":["post-7452","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"All Graduate Courses\" \/>\n<meta property=\"og:description\" content=\"Visit the Upcoming Courses page for a list of courses offered in the current and next semesters. Mathematics Actuarial Science Statistics\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-04T22:38:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2022\/09\/Courses_Hero_253612670.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1500\" \/>\n\t<meta property=\"og:image:height\" content=\"400\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/\",\"name\":\"All Graduate Courses - Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2022\\\/09\\\/Courses_Hero_253612670.jpg\",\"datePublished\":\"2025-08-28T15:24:39+00:00\",\"dateModified\":\"2026-03-04T22:38:40+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/#primaryimage\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2022\\\/09\\\/Courses_Hero_253612670.jpg\",\"contentUrl\":\"https:\\\/\\\/uwm.edu\\\/math\\\/wp-content\\\/uploads\\\/sites\\\/112\\\/2022\\\/09\\\/Courses_Hero_253612670.jpg\",\"width\":1500,\"height\":400,\"caption\":\"lecture hall rows\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/all-graduate-courses\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Student Resources\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Graduate\",\"item\":\"https:\\\/\\\/uwm.edu\\\/math\\\/students\\\/graduate\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"All Graduate Courses\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/#website\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/\",\"name\":\"Mathematical Sciences\",\"description\":\"UW-Milwaukee\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/uwm.edu\\\/math\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Mathematical Sciences","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/","og_locale":"en_US","og_type":"article","og_title":"All Graduate Courses","og_description":"Visit the Upcoming Courses page for a list of courses offered in the current and next semesters. Mathematics Actuarial Science Statistics","og_url":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/","og_site_name":"Mathematical Sciences","article_modified_time":"2026-03-04T22:38:40+00:00","og_image":[{"width":1500,"height":400,"url":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2022\/09\/Courses_Hero_253612670.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/","url":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/","name":"All Graduate Courses - Mathematical Sciences","isPartOf":{"@id":"https:\/\/uwm.edu\/math\/#website"},"primaryImageOfPage":{"@id":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/#primaryimage"},"image":{"@id":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/#primaryimage"},"thumbnailUrl":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2022\/09\/Courses_Hero_253612670.jpg","datePublished":"2025-08-28T15:24:39+00:00","dateModified":"2026-03-04T22:38:40+00:00","breadcrumb":{"@id":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/#primaryimage","url":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2022\/09\/Courses_Hero_253612670.jpg","contentUrl":"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2022\/09\/Courses_Hero_253612670.jpg","width":1500,"height":400,"caption":"lecture hall rows"},{"@type":"BreadcrumbList","@id":"https:\/\/uwm.edu\/math\/students\/graduate\/all-graduate-courses\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"","item":"https:\/\/uwm.edu\/math\/"},{"@type":"ListItem","position":2,"name":"Student Resources","item":"https:\/\/uwm.edu\/math\/students\/"},{"@type":"ListItem","position":3,"name":"Graduate","item":"https:\/\/uwm.edu\/math\/students\/graduate\/"},{"@type":"ListItem","position":4,"name":"All Graduate Courses"}]},{"@type":"WebSite","@id":"https:\/\/uwm.edu\/math\/#website","url":"https:\/\/uwm.edu\/math\/","name":"Mathematical Sciences","description":"UW-Milwaukee","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/uwm.edu\/math\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"acf":[],"publishpress_future_action":{"enabled":false,"date":"2026-04-23 07:48:19","action":"change-status","newStatus":"draft","terms":[],"taxonomy":"","extraData":[]},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/pages\/7452","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/users\/1272"}],"replies":[{"embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/comments?post=7452"}],"version-history":[{"count":3,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/pages\/7452\/revisions"}],"predecessor-version":[{"id":15877,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/pages\/7452\/revisions\/15877"}],"up":[{"embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/pages\/15247"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/media\/6706"}],"wp:attachment":[{"href":"https:\/\/uwm.edu\/math\/wp-json\/wp\/v2\/media?parent=7452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}