MATH 75 Math Success Strategies
Highly interactive format providing mathematics instruction and instilling study skills and strategies for succeeding in mathematics courses.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 90 Basic Mathematics
Arithmetic operations involving whole numbers, integers, positive and negative rational numbers; decimals, percents; ratio, proportion; radicals; descriptive statistics; units of measure; geometry; introduction to algebra.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 92 Mathematical Literacy for College Students I
Introduction to numeracy, proportional reasoning, algebraic reasoning, and functions. Emphasis on developing conceptual and procedural tools that support the use of key mathematical concepts in context.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 94 Foundations of Elementary Mathematics
Arithmetic, geometry, and beginning algebra; develops mathematical reasoning, problem solving, and facility with basic mathematical objects and their relationships. Individualized instruction via adaptive learning software.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 95 Essentials of Algebra
Number systems; linear equations, inequalities; exponent notation, radicals; polynomials, operations, factoring, rational expressions; coordinate geometry; linear systems; quadratic equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 98 Algebraic Literacy I
Arithmetic number systems; linear equations, inequalities; exponent notation, radicals; polynomials, operations, factoring; modeling; coordinate geometry; linear systems; quadratic equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 100 Supplemental Math
Development of foundational skills and concepts to allow concurrent enrollment in certain credit-bearing mathematics courses in place of prerequisite enrollment.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 102 Mathematical Literacy for College Students II
MATH 102X Mathematical Literacy for College Students II
MATH 103 Contemporary Applications of Mathematics
Selected topics in applied mathematics and statistics, such as, but not limited to, voting theory, fair division, apportionment, graph theory, financial mathematics, and statistical inference.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 105 Introduction to College Algebra
Algebraic techniques with polynomials, rational expressions, equations and inequalities, exponential and logarithmic functions, rational exponents, systems of linear equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 108 Algebraic Literacy II
Continuation of MATH 98 in polynomials, equations, and inequalities; exponential, logarithmic, and periodic functions; rational expressions and exponents; and systems of linear equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 111 Introduction to Logic - Critical Reasoning
Students learn a broad variety of fundamental logical methods - techniques used to identify, analyze, model, evaluate, and criticize different types of real-world reasoning.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 116 College Algebra
Function concepts. Polynomial, rational, exponential, and logarithmic functions. Systems of equations and inequalities. Matrices and determinants. Sequences and series. Analytic geometry and conic sections. Induction.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 117 Trigonometry
Trigonometric functions; graphs, identities, equations, inequalities; inverse trigonometric functions; solutions of triangles with applications; complex numbers; polar coordinates.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 175 Mathematical Explorations for Elementary Teachers I
MATH 176 Mathematical Explorations for Elementary Teachers II
MATH 194 First-Year Seminar:
MATH 199 Independent Study
MATH 205 Introductory Finite Mathematics
Elementary deterministic and probabilistic discrete mathematics and applications to a wide variety of disciplines. Topics may include linear programming, Markov chains, optimization, stochastic processes.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 208 Quantitative Models for Business
MATH 211 Survey in Calculus and Analytic Geometry I
A one-semester survey with applications to business administration, economics, and non-physical sciences. Topics include coordinate systems, equations of curves, limits, differentiation, integration, applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 212 Survey in Calculus and Analytic Geometry II
Continuation of first semester survey of calculus with applications to business administration, economics, and non-physical sciences. Topics include integration, multivariable calculus, Taylor polynomials and applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 213 Calculus with Life Sciences Applications
Limits, derivatives, graphing. Antiderivatives, the definite integral, and the fundamental theorem of calculus. Additional techniques and applications pertinent to the life sciences throughout the course.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 221 Honors Calculus I
Calculus of functions of one and several variables; sequences, series, differentiation, integration; introduction to differential equations; vectors and vector functions; applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 222 Honors Calculus II
MATH 231 Calculus and Analytic Geometry I
Limits, derivatives, and graphs of algebraic, trigonometric, exponential, and logarithmic functions; antiderivatives, the definite integral, and the fundamental theorem of calculus, with applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 232 Calculus and Analytic Geometry II
Continuation of Math 231. Applications of integration, techniques of integration; infinite sequences and series; parametric equations, conic sections, and polar coordinates.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 233 Calculus and Analytic Geometry III
Continuation of MATH 232. Three-dimensional analytic geometry and vectors; partial derivatives; multiple integrals; vector calculus, with applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 234 Linear Algebra and Differential Equations
MATH 240 Matrices and Applications
Vector spaces, systems of linear equations, matrices, determinants, linear transformations, eigenvalues, eigenvectors; selected topics in applications. Emphasizes basic concepts and concrete examples.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 275 Problem Solving/Critical Thinking for Elementary Education Majors
Course provides a strong foundation in the exploration, teaching and communication (oral and written) of mathematical concepts via problem-solving experiences and discussion.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 276 Algebraic Structures for Elementary Education Majors
Topics for K-8 teachers. Basic patterns and rules that govern number systems, geometric transformations, and manipulation of algebraic expressions.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 277 Geometry for Elementary Education Majors
Topics for K-8 teachers. Geometry as measuring tool-congruence, similarity, area, volume, and coordinates; geometry as axiomatic system-definitions, conjectures, proofs, counterexamples; rigid motions, symmetry.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 278 Discrete Probability and Statistics for Elementary Education Majors
Random experiments; histograms; sample spaces; equally likely outcomes for random experiments; permutations; combinations; binomial, geometric, hypergeometric distributions; expectation; conditional probabilities; max likelihood estimation & inference.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 290 Topics in Mathematics:
MATH 297 Study Abroad:
Designed to enroll students in UWM sponsored programs before course work level, content and credits are determined and/or in specially prepared program course work.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 299 Ad Hoc:
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 305 Introduction to Mathematical and Computational Modeling
Construction and analysis of discrete and continuous mathematical models in applied, natural, and social sciences. Elements of programming, simulations, case studies from scientific literature.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 305G Introduction to Mathematical and Computational Modeling
Construction and analysis of discrete and continuous mathematical models in applied, natural, and social sciences. Elements of programming, simulations, case studies from scientific literature.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 313 Linear Programming and Optimization
Primal and dual formulations of linear programming problems; simplex and related methods of solution; algorithms for transportation; optimization.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 313G Linear Programming and Optimization
Primal and dual formulations of linear programming problems; simplex and related methods of solution; algorithms for transportation; optimization.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 315 Mathematical Programming and Optimization
Introduction to operations research. Network analysis; integer programming; game theory; nonlinear programming; dynamic programming.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 315G Mathematical Programming and Optimization
Introduction to operations research. Network analysis; integer programming; game theory; nonlinear programming; dynamic programming.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 318 Topics in Discrete Mathematics
Number theory topics related to cryptography; discrete structures including graphs, partial orders, Latin squares and block designs; advanced counting techniques.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 320 Introduction to Differential Equations
Elementary types and systems of differential equations, series solutions, numerical methods, Laplace transforms, selected applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 320G Introduction to Differential Equations
Elementary types and systems of differential equations, series solutions, numerical methods, Laplace transforms, selected applications.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 322 Introduction to Partial Differential Equations
Partial differential equations of mathematical physics, boundary value problems in heat flow, vibrations, potentials, etc. Solved by Fourier series; Bessel functions and Legendre polynomials.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 322G Introduction to Partial Differential Equations
Partial differential equations of mathematical physics, boundary value problems in heat flow, vibrations, potentials, etc. Solved by Fourier series; Bessel functions and Legendre polynomials.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 325 Vector Analysis
Topics selected from vector algebra; scalar and vector fields; line, surface, and volume integrals; theorems of Green, Gauss, and Stokes; vector differential calculus.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 325G Vector Analysis
Topics selected from vector algebra; scalar and vector fields; line, surface, and volume integrals; theorems of Green, Gauss, and Stokes; vector differential calculus.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 341 Seminar: Introduction to the Language and Practice of Mathematics
Facility with mathematical language and method of conjecture, proof and counter example, with emphasis on proofs. Topics: logic, sets, functions and others.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 345 Mathematics from a Historical Perspective:
Topics from the development of mathematics, such as famous problems, mathematicians, calculating devices; chronological outlines. Significant reading and writing assignments.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 381 Honors Seminar:
Significant topics to illustrate to non-mathematicians the characteristic features of mathematical thought. Only H.S. algebra and geometry assumed.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 405 Mathematical Models and Applications
Modeling techniques for analysis and decision-making in social and life sciences and industry. Deterministic and stochastic modeling. Topics may vary with instructors.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 405G Mathematical Models and Applications
Modeling techniques for analysis and decision-making in social and life sciences and industry. Deterministic and stochastic modeling. Topics may vary with instructors.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 413 Introduction to Numerical Analysis
Root finding and solution of nonlinear systems; direct solution of linear systems; interpolation & approximation of functions; least squares; fast Fourier transform; quadrature.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 413G Introduction to Numerical Analysis
Root finding and solution of nonlinear systems; direct solution of linear systems; interpolation & approximation of functions; least squares; fast Fourier transform; quadrature.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 415 Introduction to Scientific Computing
Nonlinear systems; iterative solution of linear systems; initial value problems in ordinary differential equations; boundary value problems in ordinary and partial differential equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 415G Introduction to Scientific Computing
Nonlinear systems; iterative solution of linear systems; initial value problems in ordinary differential equations; boundary value problems in ordinary and partial differential equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 417 Computational Linear Algebra
MATH 417G Computational Linear Algebra
MATH 427 Complex Analysis
Complex numbers; definition and properties of analytic functions of a complex variable; conformal mapping; calculus of residues; applications to mathematics and physics.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 427G Complex Analysis
Complex numbers; definition and properties of analytic functions of a complex variable; conformal mapping; calculus of residues; applications to mathematics and physics.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 431 Modern Algebra with Applications
MATH 431G Modern Algebra with Applications
MATH 451 Axiomatic Geometry
MATH 451G Axiomatic Geometry
MATH 453 Transformations in Geometry
MATH 453G Transformations in Geometry
MATH 489 Internship in Mathematics, Upper Division
Application of advanced principles of mathematics in a business, organizational, educational, governmental, or other appropriate setting.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 490 Topics in Mathematics:
MATH 490G Topics in Mathematics:
MATH 497 Study Abroad:
Designed to enroll students in UWM sponsored programs before course work level, content and credits are determined and/or in specially prepared program course work.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 497G Study Abroad:
Designed to enroll students in UWM sponsored programs before course work level, content and credits are determined and/or in specially prepared program course work.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 499 Ad Hoc:
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 511 Symbolic Logic
First-order predicate calculus; formal properties of theoretical systems; chief results of modern mathematical logic; advanced topics such as completeness and computability.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 511G Symbolic Logic
First-order predicate calculus; formal properties of theoretical systems; chief results of modern mathematical logic; advanced topics such as completeness and computability.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 523 Advanced Calculus I
Fundamental notions of sets and functions; limits, continuity; Riemann integral, improper integral; infinite series; uniform convergence; power series; improper integrals with a parameter.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 523G Advanced Calculus I
Fundamental notions of sets and functions; limits, continuity; Riemann integral, improper integral; infinite series; uniform convergence; power series; improper integrals with a parameter.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 524 Advanced Calculus II
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 524G Advanced Calculus II
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 529 Structure of Real and Complex Numbers
Construction of the real and complex number systems; topology of the real line and the complex plane; sequences and series of complex numbers.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 529G Structure of Real and Complex Numbers
Construction of the real and complex number systems; topology of the real line and the complex plane; sequences and series of complex numbers.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 535 Linear Algebra
Vector spaces; systems of linear equations; linear transformations and matrices; bilinear, quadratic, and Hermitian forms; eigentheory; canonical forms; selected topics. Emphasizes theory and proof.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 535G Linear Algebra
Vector spaces; systems of linear equations; linear transformations and matrices; bilinear, quadratic, and Hermitian forms; eigentheory; canonical forms; selected topics. Emphasizes theory and proof.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 537 Number Theory
Number theoretic functions; distribution of primes; Diophantine approximation; partitions; additive number theory; quadratic reciprocity.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 537G Number Theory
Number theoretic functions; distribution of primes; Diophantine approximation; partitions; additive number theory; quadratic reciprocity.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 551 Elementary Topology
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 551G Elementary Topology
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 553 Differential Geometry
MATH 553G Differential Geometry
MATH 575 High School Mathematics from an Advanced Viewpoint
Number systems; algebra of polynomials; theory of equations; functions; modeling; geometric measurement; geometric transformations; connections between advanced mathematics and high school topics.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 575G High School Mathematics from an Advanced Viewpoint
Number systems; algebra of polynomials; theory of equations; functions; modeling; geometric measurement; geometric transformations; connections between advanced mathematics and high school topics.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 581 Introduction to the Theory of Chaotic Dynamical Systems
Iterated mappings, one parameter families, attracting and repelling periodic orbits, topological transitivity, Sarkovski's theorem, chaos, bifurcation theory, period doubling route to chaos, horseshoe maps, attractors.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 581G Introduction to the Theory of Chaotic Dynamical Systems
Iterated mappings, one parameter families, attracting and repelling periodic orbits, topological transitivity, Sarkovski's theorem, chaos, bifurcation theory, period doubling route to chaos, horseshoe maps, attractors.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 583 Introduction to Probability Models
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 591 Undergraduate Seminar:
MATH 599 Capstone Experience
MATH 603 Advanced Engineering Mathematics I
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 604 Advanced Engineering Mathematics II
Continuation of MATH 603(601). Partial differential equations, Fourier and Laplace transforms, convolutions, special functions, mathematical modeling.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 610 Numerical Solution of Partial Differential Equations
Finite difference solution of elliptic boundary value problems and of evolution problems; solution of hyperbolic conservation laws; finite volume methods; finite element methods.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 617 Optimization
Unconstrained and constrained optimization: linear, nonlinear, and dynamic programming; barrier, penalty, and Lagrangian methods; Karush-Kuhn-Tucker theory, quadratic, and sequential quadratic programming; evolutionary algorithms.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 623 Introduction to Analysis I
MATH 624 Introduction to Analysis II
Continuation of MATH 623(621). Sequences and series of functions; uniform convergence; power series; functions of several variables; inverse and implicit function theorems; differential forms; Stokes' theorem.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 635 Modern Algebra I
Group theory, including normal subgroups, quotients, permutation groups, Sylow's theorems, Abelian groups; field theory; linear algebra over general fields.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 636 Modern Algebra II
Continuation of MATH 635(631). Ring theory, including ideals, quotient rings, Euclidean rings, polynomial rings, unique factorization; modules, including vector spaces, linear transformations, canonical forms; bilinear forms.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 690 Topics in Mathematics:
MATH 690G Topics in Mathematics:
MATH 699 Independent Reading
MATH 703 Advanced Engineering Mathematics I
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 704 Advanced Engineering Mathematics II
Continuation of MATH 703. Partial differential equations, Fourier and Laplace transforms, convolutions, special functions, mathematical modeling.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 710 Numerical Solution of Partial Differential Equations
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 717 Optimization
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 723 Introduction to Analysis I
MATH 724 Introduction to Analysis II
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 735 Modern Algebra I
Group theory, including normal subgroups, quotients, permutation groups, Sylow's theorems, Abelian groups; field theory; linear algebra over general fields.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 736 Modern Algebra II
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 783 Introduction to Probability Models
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 799 Seminar in Mathematics:
MATH 803 Industrial Mathematics I
MATH 804 Industrial Mathematics II
Optimal control theory, digital signal processing, image processing, linear programming, nonlinear optimation, artificial neural networks. Use of mathematical software emphasized throughout.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 807 Group Theory and Its Applications to Physics
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 810 Numerical Analysis I
Polynomial interpolation and approximation; numerical differentiation and integration; direct and iterative methods for linear systems; and iterative methods for nonlinear algebraic equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 811 Numerical Analysis II
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 813 Numerical Solution of Ordinary Differential Equations
MATH 814 Numerical Solution of Partial Differential Equations
MATH 816 Ordinary Differential Equations
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 819 Partial Differential Equations
First and second order equations; characteristics, cauchy problem; classical solutions of linear elliptic, parabolic and hyperbolic equations.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 823 Theory of Functions of a Real Variable I
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 824 Theory of Functions of a Real Variable II
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 825 Functional Analysis I
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 826 Functional Analysis II
MATH 827 Theory of Functions of a Complex Variable I
Complex numbers; linear transformations; elementary functions; conformal mapping; complex integration; infinite sequences; dirichlet problem; multivalued functions.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 828 Theory of Functions of a Complex Variable II
MATH 835 Abstract Algebra I
Basic course which is prerequisite for all other 800-899 level courses in algebra; groups, rings, fields, galois theory, modules, and categories.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 836 Abstract Algebra II
MATH 843 Homological Algebra I
Modules; diagrams; categories; functors; complexes; cohomology; extensions; resolutions; injective and projective systems; graded modules; homological dimension; spectral sequences; derived functors.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 844 Homological Algebra II
MATH 853 Differential Geometry
Theory of curves, surfaces, and manifolds in modern terminology. Global results on closed surfaces, geodesics, differential forms and tensor calculus. Introduction to Riemannian geometry.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 854 Topics in Differential Geometry:
Topics may be selected from Riemannian geometry, minimal surfaces and surfaces of prescribed mean curvature, geometric partial differential equations, or related areas of geometry.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 855 Introductory Topology I
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 856 Introductory Topology II
MATH 857 Introduction to Algebraic Topology I
Homology theory; complexes and simplicial homology theory; general homology theories; cohomology rings; applications to manifolds, fixed point theorems, etc.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 858 Introduction to Algebraic Topology II
MATH 883 Theory of Probability
Measure-theoretic foundations; limit-law theorems; weak and strong laws of large numbers; central limit problem; conditional expectations, martingales; stochastic processes.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 884 Stochastic Calculus and Applications
Basic stochastic analysis and control theories and techniques; their applications to model and analyze real-world applications in which random noises are inherent.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 888 Candidate for Degree
MATH 891 Master's Seminar
MATH 892 Industrial Internship
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 893 Scientific Computational Laboratory:
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).
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 899 Seminar in Advanced Mathematics
MATH 901 Topics in Applied Mathematics:
Specific topics in applied mathematics and any additional prerequisites will be announced in the Schedule of Classes each time the course is offered.
Current Offerings: https://catalog.uwm.edu/course-search/
MATH 910 Topics in Numerical Analysis:
MATH 921 Advanced Topics in Real Analysis:
MATH 941 Advanced Topics in Algebra:
MATH 951 Advanced Topics in Topology:
MATH 983 Advanced Topics in Probability:
MATH 990 Reading and Research
MTHSTAT 194 First-Year Seminar:
MTHSTAT 199 Independent Study
MTHSTAT 215 Elementary Statistical Analysis
Elementary probability theory; descriptive statistics; sampling distributions; basic problems of statistical inference including estimation; tests of statistical hypothesis in both one- and two- sample cases.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 216 Introduction to Statistical Computing and Data Science
Introduction to hands-on data analysis, performed on large, complex and realistic data sets, using a scientific programming language like R.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 278 Discrete Probability and Statistics for Elementary Education Majors
Random experiments; histograms; sample spaces; equally likely outcomes for random experiments; permutations; combinations; binomial, geometric, hypergeometric distributions; expectation; conditional probabilities; max likelihood estimation & inference.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 299 Ad Hoc:
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 361 Introduction to Mathematical Statistics I
Probability spaces; discrete and continuous, univariate and multivariate distributions; moments; independence, random sampling, sampling distributions; normal and related distributions; point and interval estimation.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 361G Introduction to Mathematical Statistics I
Probability spaces; discrete and continuous, univariate and multivariate distributions; moments; independence, random sampling, sampling distributions; normal and related distributions; point and interval estimation.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 362 Introduction to Mathematical Statistics II
Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free methods; sequential methods.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 362G Introduction to Mathematical Statistics II
Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free methods; sequential methods.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 461 Data Analysis and Graphing Using SAS-I
Introduction to SAS language programming. Procedures for handling raw data, SAS data, and parametric and nonparametric univariate data analysis; procedures for graphical display. Offered first half of sem.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 462 Data Analysis and Graphing Using SAS-II
MTHSTAT 462G Data Analysis and Graphing Using SAS-II
MTHSTAT 465 Introductory Mathematical Statistics for Social Sciences and Education
MTHSTAT 465G Introductory Mathematical Statistics for Social Sciences and Education
MTHSTAT 467 Introductory Statistics for Physical Sciences and Engineering Students
Concepts of probability and statistics; probability distributions of engineering applications; sampling distributions; hypothesis testing, parameter estimation; experimental design; regression analysis.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 467G Introductory Statistics for Physical Sciences and Engineering Students
Concepts of probability and statistics; probability distributions of engineering applications; sampling distributions; hypothesis testing, parameter estimation; experimental design; regression analysis.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 469 Biostatistics
Simple distributions, estimation and hypothesis testing, simple regression, analysis of variance, nonparametric methods in biology. Demography and vital statistics and bioassay and clinical trials.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 469G Biostatistics
Simple distributions, estimation and hypothesis testing, simple regression, analysis of variance, nonparametric methods in biology. Demography and vital statistics and bioassay and clinical trials.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 489 Internship in Mathematical Statistics, Upper Division
Application of advanced principles of mathematical statistics in a business, organizational, educational, governmental, or other appropriate setting.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 499 Ad Hoc:
Course created expressly for offering in a specified enrollment period. Requires only dept & assoc dean approval. In exceptional circumstances, can be offered in one add'l sem.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 560 Data Preparation and Exploration
Data preparation, including data cleaning, imputation of missing data, detection of outliers, feature selection, data transformations, and data exploration.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 562 Design of Experiments
Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; split-plot experiments; fractional replication.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 562G Design of Experiments
Latin squares; incomplete block designs; factorial experiments; confounding; partial confounding; split-plot experiments; fractional replication.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 563 Regression Analysis
Straight line, polynomial and multiple regression; multiple and partial correlation; testing hypotheses in regression; residual analysis.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 563G Regression Analysis
Straight line, polynomial and multiple regression; multiple and partial correlation; testing hypotheses in regression; residual analysis.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 564 Time Series Analysis
MTHSTAT 564G Time Series Analysis
MTHSTAT 565 Nonparametric Statistics
Sign, rank and permutation tests; tests of randomness and independence; methods for discrete data and zeroes and ties; power and efficiency of nonparametric tests.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 565G Nonparametric Statistics
Sign, rank and permutation tests; tests of randomness and independence; methods for discrete data and zeroes and ties; power and efficiency of nonparametric tests.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 566 Computational Statistics
Basics of programming and optimization techniques; resampling, bootstrap, and Monte Carlo methods; design and analysis of simulation studies.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 566G Computational Statistics
Basics of programming and optimization techniques; resampling, bootstrap, and Monte Carlo methods; design and analysis of simulation studies.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 568 Multivariate Statistical Analysis
Multivariate normal distribution; Wishart distribution; Hotelling's T2; multivariate normal distribution; multivariate analysis of variance; classification problems.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 568G Multivariate Statistical Analysis
Multivariate normal distribution; Wishart distribution; Hotelling's T2; multivariate normal distribution; multivariate analysis of variance; classification problems.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 760 Data Preparation and Exploration
Data preparation, including data cleaning, imputation of missing data, detection of outliers, feature selection, data transformations, and data exploration.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 763 Regression Analysis
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 764 Time Series Analysis
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 766 Computational Statistics
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 768 Multivariate Statistical Analysis
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.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 863 Hypothesis Testing
Exponential families; uniformly most--powerful tests; least favorable priors; unbiased tests; invariant tests; applications to exponential families and the general linear hypothesis.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 869 Advanced Topics in Mathematical Statistics:
MTHSTAT 871 Mathematical Statistics I
Probability and distribution theory; point and interval estimation; testing hypotheses; large sample inference; nonparametric inference; sequential analysis.
Current Offerings: https://catalog.uwm.edu/course-search/
MTHSTAT 872 Mathematical Statistics II