Mathematical Sciences Department

Emily Stone, Chair

Mathematics is studied both as a tool and for its own sake. Its usefulness in the sciences - physical, biological, social, behavioral, and environmental - and in decision-making processes is so established that it is an indispensable part of many curricula.

Mathematics is chosen as a major area of study by individuals who find it challenging, fascinating, and beautiful. It is also appreciated by many who seek primarily to use mathematics as a tool.

A career in mathematics, except for teaching at the secondary level, generally requires a graduate degree as preparation. Careers include teaching, research, and the application of mathematics to diverse problems in institutions of higher learning, business, industry, and government.

The Bachelor of Arts, Master of Arts, and Doctor of Philosophy degrees are offered as well as a Bachelor of Science in Mathematical Sciences–Computer Science.

High School Preparation: For studying mathematics at the University level, it is recommended that the high school course work consist of four years of college-preparatory mathematics, including geometry, trigonometry, and college algebra or precalculus.  A course in calculus or statistics is helpful, but not necessary. It is unusual to complete an undergraduate degree in mathematics in four years without the necessary background to take Calculus I (M 171) during the freshman year (preferably during the first semester at the university).

Undergraduate Degrees Available

Subject Type Option Track
Mathematical Sci-Computer Sci Bachelor of Science
Mathematics Bachelor of Arts
Mathematics Bachelor of Arts Applied Mathematics
Mathematics Bachelor of Arts Combinatorics & Optimization
Mathematics Bachelor of Arts Mathematics Education
Mathematics Bachelor of Arts Pure Mathematics
Mathematics Bachelor of Arts Statistics
Mathematics Minor
Mathematics Minor Teaching Math

Department Faculty

Professors

  • Johnathan Bardsley, Professor
  • Jonathan Graham, Professor
  • Leonid Kalachev, Professor
  • Mark Kayll, Professor
  • Jenny McNulty, Associate Dean / Professor
  • George McRae, Professor Emeritus
  • David Patterson, Professor
  • Bharath Sriraman, Professor
  • Emily Stone, Department Chair, Professor
  • Karel Stroethoff, Professor
  • Nikolaus Vonessen, Professor, and Associate Chair - Undergraduate Program

Associate Professors

  • Jennifer Brooks, Associate Professor
  • Eric Chesebro, Associate Professor
  • Kelly McKinnie, Associate Professor
  • Gregory St. George, Associate Professor
  • Brian Steele, Associate Professor
  • Ke Wu, Associate Professor

Assistant Professors

  • Cory Palmer, Assistant Professor and Associate Chair - Graduate Program
  • Frederick Peck, Assistant Professor
  • Matthew Roscoe, Assistant Professor

Adjunct Faculty

  • John Duffield, Adjunct Research Professor
  • Solomon Harrar, Adjunct Research Professor
  • Daniel Johnston, Visiting Assistant Professor
  • Richard Lane, Adjunct Instructor
  • N'Djekornom Dara Laobeul, Adjunct Instructor
  • Louis Lutz, Adjunct Instructor
  • Justin Lynd, Visiting Assistant Professor
  • Michael Olear, Adjunct Instructor
  • Joyce Schlieter, Adjunct Instructor
  • Mickey Smith, Lecturer
  • Grant Swicegood, Postdoctoral Lecturer

Lecturers

  • Lauren Fern, Lecturer
  • Cindy Leary, Lecturer
  • Regina Souza, Lecturer

Emeritus Professors

  • Richard Billstein, Emeritus
  • James Hirstein, Professor Emeritus

Course Descriptions

Mathematics

  • M 104 - Numbers as News

    Credits: 3. Offered spring.  Prereq., M 090 with a grade of B- or better, or M 095, or ALEKS placement >= 3.  An exploration of mathematics and statistics as used in the popular media.  For students in the School of Journalism only.
  • M 105 - Contemporary Mathematics

    Credits: 3. Offered every term. Prereq., M 090 with a grade of B- or better, or M 095, or ALEKS placement >= 3. An introduction to mathematical ideas and their impact on society. Intended for students wishing to satisfy the general education mathematics requirement.
  • M 115 - Probability and Linear Mathematics

    Credits: 3. Offered every term. Prereq., M 090 with a grade of B- or better, or M 095, or ALEKS placement >= 3. Systems of linear equations and matrix algebra. Introduction to probability with emphasis on models and probabilistic reasoning. Examples of applications of the material in many fields.
  • M 118 - 118 Mathematics for Music Enthusiasts

    Credits: 3. Offered autumn and/or spring. Prereq. M 090 with a grade of B- or better, or M 095, or ALEKS placement >= 3; and elementary music background. An introduction to the interplay between mathematics and music. Course intended for Music majors/minors, and others with musical backgrounds/interests, who wish to satisfy the general education mathematics requirement.
  • M 121 - College Algebra

    Credits: 3. Offered autumn and spring. Prereq., M 095 or ALEKS placement >= 4. Intended to strengthen algebra skills. The study of functions and their inverses; polynomial, rational, exponential, and logarithmic functions. Credit not allowed for both M 121, and M 151.
  • M 122 - College Trigonometry

    Credits: 3. Offered autumn and spring. Prereq., M 121 or ALEKS placement >= 4. Preparation for calculus based on college algebra. Review of functions and their inverses. Trigonometric functions and identities, polar coordinates and an optional topic such as complex numbers, vectors or parametric equations. Credit not allowed for both M 122 and M 151.
  • M 132 - Numbers and Operations for Elementary School Teachers

    Credits: 3. Offered autumn and spring. Prereq., M 095 or M 115, or ALEKS placement >= 4. The study of number and operations for prospective elementary and middle school teachers, including whole numbers, decimals, fractions, percent, integers, operations, numeration systems, and problem solving.
  • M 133 - Geometry and Measurement for Elementary School Teachers

    Credits: 3. Offered autumn and spring. Prereq., M 132. The study of geometry and geometric measurement for prospective elementary and middle school teachers, including synthetic, transformational, and coordinate geometry, constructions, congruence and similarity, 2-dimensional and 3-dimensional measurement, and problem solving.
  • M 135 - Mathematics for K-8 Teachers I

    Credits: 5. Offered autumn and spring. Prereq., M 095, M 115, or ALEKS placement >= 4. Open only to elementary education majors. Topics include problem-solving, sets and logic, functions, whole numbers, integers, rational numbers, real numbers, number theory, probability and statistics.
  • M 136 - Mathematics for K-8 Teachers II

    Credits: 4. Offered autumn and spring. Prereq., M 135. Topics include introductory geometry, geometric constructions, congruence, similarity, measurement, coordinate geometry and an introduction to computer geometry.
  • M 151 - Precalculus

    Credits: 4. Offered autumn and spring. Prereq., ALEKS placement >= 4. A one semester preparation for calculus (as an alternative to M 121-122. Functions of one real variable are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, and miscellaneous others. Inverse functions, polar coordinates and trigonometric identities are included. Credit not allowed for both M 151 and M 121 or 122.
  • M 162 - Applied Calculus

    Credits: 4. Offered autumn and spring. Prereq., ALEKS placement >= 5 or one of M 121, 122 or 151. Introductory course surveying the principal ideas of differential and integral calculus with emphasis on applications and computer software. Mathematical modeling in discrete and continuous settings. Intended primarily for students who do not plan to take higher calculus.
  • M 171 - Calculus I

    Credits: 4. Offered autumn and spring. Prereq., M 122 or 151 or ALEKS placement >= 5.  Differential calculus, including limits, continuous functions, Intermediate Value Theorem, tangents, linear approximation, inverse functions, implicit differentiation, extreme values and the Mean Value Theorem.  Integral Calculus including antiderivatives, definite integrals, and the Fundamental Theorem of Calculus.
  • M 172 - Calculus II

    Credits: 4. Offered autumn and spring. Prereq., M 171 or 181. Techniques of Integration. Area computations. Improper integrals. Infinite series and various convergence tests. Power series. Taylor's Formula. Polar coordinates. Parametric curves.
  • M 181 - Honors Calculus I

    Credits: 4. Offered autumn.  Prereq., consent of instr.  Coreq., Honors Calculus Seminar, a section of M 294.  Honors version of M 171.
    Course Attributes:
    • Honors Course
  • M 182 - Honors Calculus II

    Credits: 4. Offered spring.  Prereq., M 181 or consent of instr.  Coreq., Honors Calculus Seminar, a section of M 294.  Honors version of M 172.
    Course Attributes:
    • Honors Course
  • M 191 - Special Topics

    Credits: 1 TO 6. (R-6) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one time offerings of current topics.
  • M 192 - Independent Study

    Credits: 1 TO 6. (R-6) Offered intermittently. Course material appropriate to the needs and objectives of the individual student.
  • M 210 - Introduction to Mathematical Software

    Credits: 3. Offered spring. Prereq., one of M 162, 171, or 181, or consent of instr. Software packages useful for doing and writing mathematics. Introduction to a computer algebra system (such as Maple or Mathematica), a numerical package (such as MATLAB or R), and elementary programming. Writing and communicating mathematics using the mathematical typesetting system LaTeX.
  • M 221 - Introduction to Linear Algebra

    Credits: 4. Offered autumn and spring. Prereq., M 172 or 182. Vectors in the plane and space, systems of linear equations and Gauss–Jordan elimination, matrices, determinants, eigenvalues and eigenvectors, vector spaces, linear transformations. Calculators and/or computers used where appropriate.
  • M 225 - Introduction to Discrete Mathematics

    Credits: 3. Offered autumn. Prereq., one of M 162, 171, or 181 or consent of instr. Mathematical concepts used in computer science with an emphasis on mathematical reasoning and proof techniques. Elementary logic, sets, functions and relations, combinatorics, mathematical induction, recursion and algorithms. Mathematics majors should take M 307 instead of 225.
  • M 231 - Topics in Geometry

    Credits: 3. Offered intermittently.  Prereq., M 136 or consent of instr.  Geometry topics for teaching grades 6–12 mathematics.  Intended primarily for students in elementary education who plan to teach middle school mathematics.
  • M 234 - Higher Mathematics for Elementary School Teachers

    Credits: 3. Offered autumn and spring. Prereq., M 132. The study of algebra, number theory, probability and statistics for prospective elementary and middle school teachers, including proportional reasoning, functions, elementary number theory, statistical modeling and inference, and elementary probability theory.
  • M 273 - Multivariable Calculus

    Credits: 4. Offered autumn and spring. Prereq., M 172 or 182. Calculus of functions of several variables; differentiation and elementary integration. Vectors in the plane and space.
  • M 274 - Introduction to Differential Equations

    Credits: 3. Offered spring. Prereq., one of M 162, 171 or 181 and knowledge of basic trigonometry. Solution of ordinary differential equations and systems with emphasis on applications, numerical methods and computer software.
  • M 291 - Special Topics

    Credits: 1 TO 3. (R-9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one-time offerings of current topics.
  • M 292 - Independent Study

    Credits: 1 TO 9. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance of an individual student in doing independent study on material not offered in a regular course.
  • M 294 - Seminar

    Credits: 1 TO 9. (R–9) Offered autumn and spring. Prereq., consent of instr.
  • M 300 - Undergraduate Mathematics Seminar

    Credits: 1. (R–6) Offered every semester. Prereq., M 171 or 181. Discussion seminar focused on topics and issues of interest to students in the mathematical sciences.
  • M 301 - Mathematics Technology for Teachers

    Credits: 3. Offered autumn. Prereq., M 221. Discrete and continuous mathematical models from a variety of disciplines using appropriate technology.
  • M 307 - Introduction to Abstract Mathematics

    Credits: 3. Offered autumn and spring. Prereq., M 172 or 182. Designed to prepare students for upper–division proof–based mathematics courses. Topics include proof techniques, logic, sets, relations, functions and axiomatic methods. Students planning to take both M 221 and 307 are encouraged to take M 221 first.
  • M 311 - Ordinary Differential Equations and Systems

    Credits: 3. Offered autumn. Prereq., M 273. Ordinary differential equations. Systems of linear differential equations from a matrix viewpoint.  Series solutions. Existence and uniqueness for initial value problems.  Numerical methods. Stability and selected topics. M 317 computer lab recommended.
  • M 317 - Ordinary Differential Equations Computer Lab

    Credits: 1. Offered autumn.  Coreq., M 311 or consent of instr.  Intended primarily for student in M 311.
  • M 325 - Discrete Mathematics

    Credits: 3. Offered spring. Prereq., M 171 and 225 or 307. Continuation of 225 and topics from graph theory, Boolean algebras, automata theory, coding theory, computability and formal languages.
  • M 326 - Number Theory

    Credits: 3. Offered spring. Prereq., M 225 or 307. Congruences, Diophantine equations, properties of primes, quadratic residues, continued fractions, algebraic numbers.
  • M 361 - Discrete Optimization

    Credits: 3. Offered spring. Prereq., one of M 162, 172 or 182 (221 or 225 recommended). Intended for non–mathematics majors as well as mathematics majors. Introduction to discrete optimization and modeling techniques with applications. Topics from combinatorics and graph theory, including enumeration, graph algorithms, matching problems and networks.
  • M 362 - Linear Optimization

    Credits: 3. Offered autumn. Prereq., one of M 162, 172 or 182 (221 recommended). Coreq., M 363 recommended. Intended for non–mathematics majors as well as majors. Introduction to linear programming and modeling techniques with applications. Topics include the simplex method, duality, sensitivity analysis and network models.
  • M 363 - Linear Optimization Laboratory

    Credits: 1. Offered autumn.  Coreq., M 362.  Introduction to linear optimization software.
  • M 381 - Advanced Calculus I

    Credits: 3. Offered autumn .  Prereq., M 307.  Rigorous development of single-variable calculus with formal proof.  Functions, sequences, limits, continuity, differentiation, and integration.
  • M 391 - Special Topics

    Credits: 1 TO 9. (R-9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one-time offerings of current topics.
  • M 392 - Independent Study

    Credits: 1 TO 9. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance of an individual student in doing independent study on material not offered in a regular course.
  • M 394 - Seminar

    Credits: 1 TO 9. (R–9) Offered autumn and spring. Prereq., consent of instr.
  • M 398 - Internship

    Credits: 1 TO 6. Offered autumn and spring. Prereq., consent of instructor. Extended classroom experience which provides practical application of classroom learning during placements off campus. Prior approval must be obtained from the faculty supervisor and the Internship Services office.  A maximum of 6 credits of Internship (198, 298, 398, 498) may count toward graduation.
    Course Attributes:
    • Internships/Practicums
    • Internship graduation limit 6
  • M 412 - Partial Differential Equations

    Credits: 3. Offered spring. Prereq., M 311. Fourier series, Sturm–Liouville and boundary value problems. Partial differential equations:  Cauchy problems and the method of characteristics, separation of variables and Laplace transform methods. Numerical methods and selected topics.  M 418 computer lab recommended.
  • M 414 - Deterministic Models

    Credits: 3. Offered autumn or spring. Prereq., M 274 or 311 or consent of instr. Linear and nonlinear difference and differential equations: stability, phase–plane analysis, oscillatory behavior, limit cycles, and chaos.  Eigenvalues and eigenfunctions. Emphasis on models in biology.
  • M 418 - Partial Differential Equations Computer Lab

    Credits: 1. Offered spring.  Coreq., M 412 or consent of instr.  Intended primarily for students in M 412.
  • M 429 - History of Mathematics

    Credits: 3. Offered spring. Prereq., M307. Historical study of the development of mathematics from the Egyptian and Babylonian eras to the 20th century.
    Course Attributes:
    • Writing Course-Upper-Division
    • Writing Course-Advanced
  • M 431 - Abstract Algebra I

    Credits: 4. Offered autumn. Prereq., M 221 and 307 or consent of instr. An introduction to modern ideas of algebra through the study of groups, rings, and fields.
  • M 432 - Abstract Algebra II

    Credits: 4. Offered spring. Prereq., M 431. Continues the investigation of groups, rings, and fields begun in M 431.  Further topics include vector spaces and field extensions.
  • M 439 - Euclidean and Non–Euclidean Geometry

    Credits: 3. Offered autumn. Prereq., M 307; M 231 recommended. Euclidean geometry from a rigorous, axiomatic viewpoint and Non–Euclidean geometries chosen from Lobachevskian, projective, finite and Riemannian.
  • M 440 - Numerical Analysis

    Credits: 4. Offered intermittently. Prereq., M 307, 311, one computer language. Error analysis; approximation and interpolation, numerical solution of linear and non-linear equations, numerical integration of ordinary and partial differential equations.
  • M 445 - Statistical, Dynamical, and Computational Modeling

    Credits: 4. Offered autumn odd-numbered years. Prereq., consent of instr. An interdisciplinary course on the integration of statistical and dynamical models with applications to biological problems. Linear and nonlinear models, estimation, systems of ordinary differential equations, numerical integration, bootstrapping, MCMC methods. Intended both for students in mathematics and the natural sciences.
  • M 461 - Practical Big Data Analytics

    Credits: 3. Offered autumn. Prereq., STAT 341, and one of M 221 or M 273, or consent of instructor. This is a methods course supporting the Big Data Certificate Program. The course provides the students with the essential tools for the analysis of big data. The content consists of map reduce and canonical information methods for analyzing massively large data sets, windowing methods for the analysis of streaming data, an introduction to predictive analytics, and an introduction to data visualization methods.
  • M 462 - Theoretical Basics of Big Data Analytics and Real Time Computation Algorithms

    Credits: 3. Offered spring. Prereq., M 221 and two other Mathematics / Statistics classes at the 200-level or above, or consent of instr. The main goal of this course is to provide students with a unique opportunity to acquire conceptual knowledge and theoretical background behind mathematical tools applicable to Big Data Analytics and Real Time Computations. Specific challenges of Big Data Analytics, e.g., problems of extracting, unifying, updating, and merging information, and processing of highly parallel and distributed data, will be reviewed. The tools for Big Data Analytics, such as regression analysis, linear estimation, calibration problems, real time processing of incoming (potentially infinite) data, will be studied in more detail. It will be shown how these approaches can be transformed to conform to the Big Data demands.
  • M 467 - Big Data Analytic Projects

    Credits: 3. Offered spring. Prereq., two courses chosen from STAT 341, M 221 and M 273, and one of M 461 or M 462, or consent of instructor. This course is a practicum course aimed at developing skills needed to solve big data problems facing industry and academics. Problems are brought to the class by local technology-oriented businesses and university researchers. Lecture topics include project management, interacting with clients, and written and oral presentation of results. Additional lecture topics will be selected to address the specific problems brought to the class and may cover data reduction methods, algorithm design and predictive analytics.
  • M 472 - Introduction to Complex Analysis

    Credits: 4. Offered spring. Prereq., M 273, M 307. Analytic functions, complex integration, singularities and application to contour integration, harmonic functions, spaces of analytic functions.
  • M 473 - Introduction to Real Analysis

    Credits: 4. Offered autumn odd-numbered years. Prereq., M 273, M 307. Theory of metric spaces and point set topology, Riemann-Stieltjes integral, sequences and series of functions. Stone-Weierstrass theorem, theorem of Arzela-Ascoli, introduction to Lebesgue integration.
  • M 485 - Graph Theory

    Credits: 3. Offered autumn.  Prereq., M 325, or M 307 and M 361, or consent of instr.  Theory and applications of graphs.  Topics chosen from trees, matchings, connectivity, coloring, planarity, Ramsey theory, random graphs, combinatorial designs and matroid theory.
  • M 490 - Undergraduate Research

    Credits: 1 TO 4. (R-12) Offered every term.  Prereq., consent of instr.  Undergraduate research in the mathematical sciences under the direction of a faculty member.  Graded credit/no credit.
  • M 491 - Special Topics

    Credits: 1 TO 9. (R–9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one–time offerings of current topics.
  • M 492 - Independent Study

    Credits: 1 TO 9. (R–9) Offered autumn and spring. Prereq., consent of instr. Guidance of an individual student in doing independent study on material not offered in a regular course
  • M 494 - Seminar

    Credits: 1 TO 9. (R-9) Offered autumn and spring. Prereq., consent of instr.
  • M 498 - Internship

    Credits: 1 TO 6. Offered autumn and spring. Prereq., consent of instr. Extended classroom experience which provides practical application of classroom learning during placements off campus.  Prior approval must be obtained from the faculty supervisor and the Internship Services office. A maximum of 6 credits of Internship (198, 298, 398, 498) may count toward graduation.
    Course Attributes:
    • Internships/Practicums
    • Internship graduation limit 6
  • M 499 - Senior Thesis

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. Senior thesis for mathematics majors and/or Watkins Scholars.
    Course Attributes:
    • Writing Course-Upper-Division
    • Writing Course-Advanced
  • M 500 - Current Mathematical Curricula

    Credits: 3. Offered intermittently. Prereq., teacher certification or consent of instructor. Analysis of contemporary materials for secondary school mathematics: the goals, the mathematical content, alternative methodologies, and curriculum evaluation. Level: Graduate
  • M 501 - Technology in Mathematics for Teachers

    Credits: 3. Offered intermittently.  Prereq., teacher certification or consent of instructor.  Technology usage when it is appropriate and when it is not.  Experience is provided with scientific calculators, graphing utilities, computers, and identification of exemplary software. Level: Graduate
  • M 504 - Topics in Math Education

    Credits: 1 TO 12. (R–12) Offered intermittently.  Prereq., teacher certification.  Topics of current interest which may include calculus, number theory, probability and statistics, geometry, or algebra, at a level suitable for teachers. Level: Graduate
  • M 510 - Problem Solving for Teachers

    Credits: 3. Offered intermittently.  Prereq., teacher certification or consent of instructor.  Strategies for problem solving, problem posing in a variety of situations, modeling and applications.  Problems are selected from various areas of mathematics. Level: Graduate
  • M 511 - Advanced Mathematical Methods I

    Credits: 3. Offered autumn odd–numbered years. Prereq., M 311, and 412 or 414. Methods in applied mathematics related to the qualitative and quantitative solution of nonlinear and differential integral equations, dynamical systems, and perturbation methods.  Applications of these methods to other sciences. Level: Graduate
  • M 512 - Advanced Mathematical Methods II

    Credits: 3. Offered spring even–numbered years. Prereq., M 511. Continuation of  M 511. Level: Graduate
  • M 514 - Topics in Applied Mathematics

    Credits: 1 TO 12. (R–12) Offered autumn even–numbered years. Prereq., consent of instr. or  M 511-512. Topics of current interest in applied mathematics, mathematical modeling, dynamic modeling, and optimal management in stochastic or deterministic environments. Level: Graduate
  • M 521 - Advanced Algebra I

    Credits: 3. Offered alternate years. Prereq., M 432 or consent of instr. Topics covered include group theory, field theory and Galois theory. Level: Graduate
  • M 522 - Advanced Algebra II

    Credits: 3. Offered alternate years. Prereq., M 521 or consent of instr. Continuation of 521; rings, modules, commutative algebra, and further topics. Level: Graduate
  • M 524 - Topics in Algebra

    Credits: 3. (R-12) Offered alternate years in fall and spring. Prereq., consent of instr. Topics chosen from algebra and related areas, for example from commutative algebra, algebraic geometry, linear algebra, group theory, ring theory, or number theory. Level: Graduate
  • M 530 - Geometries for Teachers

    Credits: 3. Offered intermittently in summer. Prereq., M 439 or equiv. Comparison of synthetic, analytic, vector, and transformational approaches to geometry. Includes classification of geometries, geometric representations, axiomatics, and the applications of modern geometries. Level: Graduate
  • M 531 - Topology

    Credits: 3. Offered autumn even–numbered years. Prereq., M 473 or consent of instr. Set theory, topological spaces, metrizability, continuous mappings and selected topics. Level: Graduate
  • M 532 - Algebraic Topology

    Credits: 3. Offered spring alternate years. Prereq., M 431 and M 531 or consent of instr.Introduction to algebraic topology through one or more topics chosen from the fundamental group and higher homotopy groups, singular homology, and simplicial homology. Level: Graduate
  • M 551 - Real Analysis

    Credits: 3. Offered spring even–numbered years. Prereq., M 473 or 472 or consent of instr. Measure theory, abstract integration theory, theory of Lp–spaces. Level: Graduate
  • M 555 - Functional Analysis

    Credits: 3. Offered spring odd–numbered years. Prereq., M 473 or 472 or consent of instr. Normed linear spaces, linear functionals, separation theorems, topological linear spaces, weak topologies, dualities. Level: Graduate
  • M 564 - Topics in Analysis

    Credits: 3. (R–12) Offered autumn odd–numbered years. Prereq., consent of instr. Research projects or topics in analysis. May include but not restricted to Banach algebras, Fourier analysis, Harmonic analysis, Hilbert space theory, integral equations, or operator theory. Level: Graduate
  • M 570 - Calculus for Middle School Teachers

    Credits: 3. Offered online in full-year format.  Prereq., teacher certification or consent of instr.  A first course in differential and integral calculus. Concepts, definitions, properties, and elementary applications of the calculus of single-valued real variables. Level: Graduate
  • M 572 - Algebra for Middle School Teachers

    Credits: 3. Offered intermittently in summer.  Prereq., teacher certification or consent of instr.  Topics include algebraic number fields, linear algebra topics, polynomials, and applications appropriate for teachers of middle school mathematics. Level: Graduate
  • M 573 - Geometry for Middle School Teachers

    Credits: 3. Offered intermittently in summer.  Prereq., teacher certification or consent of instr.  Introduction to synthetic, analytic, vector, and transformational approaches to geometry.  Includes topics in 2- and 3-dimensional geometry and measurement appropriate for teachers of middle school mathematics. Level: Graduate
  • M 574 - Probability and Statistics for Middle School Teachers

    Credits: 3. Offered intermittently in summer.  Prereq., teacher certification or consent of instr.  A survey of topics in probability and statistics appropriate for teachers of middle school mathematics.  Level: Graduate
  • M 578 - Discrete Mathematics for Middle School Teachers

    Credits: 3. Offered intermittently.  Prereq., teacher certification or consent of instr.  Elements and operations of finite structures, combinatorics, recursion, graphs, matrices, and finite models appropriate for teachers of middle school mathematics. Level: Graduate
  • M 581 - Combinatorics

    Credits: 3. Offered autumn odd–numbered years. Prereq., consent of instr.  Theory and applications of discrete mathematics.  Topics chosen from enumeration, combinatorial analysis, and graph theory. Level: Graduate
  • M 582 - Optimization

    Credits: 3. Offered autumn even–numbered years. Prereq., consent of instr.  Theory and applications of optimization.  Topics chosen from linear, non–linear, and discrete optimization, including duality theory, convexity and networks. Level: Graduate
  • M 584 - Topics in Combinatorics and Optimization

    Credits: 3. (R–12) Offered spring odd–numbered years. Prereq., consent of instr. Topics chosen from the areas of combinatorics and optimization.  May include classical problems, current trends, research interests or other topics chosen by the instructor. Level: Graduate
  • M 593 - Professional Project

    Credits: 1 TO 6. (R–6) Offered autumn and spring. Prereq., consent of advisor. Preparation of a professional paper appropriate to the needs and objectives of the individual student. Level: Graduate
    Course Attributes:
    • Faculty-Led Study Abroad
  • M 595 - Special Topics

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one–time offerings of current topics. Level: Graduate
    Course Attributes:
    • Internships/Practicums
  • M 596 - Independent Study

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. Course material appropriate to the needs and objectives of the individual student. Level: Graduate
    Course Attributes:
    • Service Learning/Volunteer
  • M 597 - Research

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. Directed individual research and study appropriate to the back ground and objectives of the student. Level: Graduate
  • M 598 - Internship

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of department. Extended classroom experience which provides practical application of classroom learning during placements off campus. Prior approval must be obtained from the faculty supervisor and the Internship Services office. Level: Graduate
    Course Attributes:
    • Internships/Practicums
  • M 599 - Thesis

    Credits: 1 TO 6. (R–6) Offered autumn and spring. Prereq., consent of instr. Preparation of a thesis or manuscript based on research for presentation and/or publication. Level: Graduate
  • M 600 - Mathematics Colloquium

    Credits: 1 TO 3. (R–3) Offered autumn and spring. Prereq., consent of advisor. Presentations of research topics in mathematics and related fields. Level: Graduate
  • M 602 - Teaching College Mathematics

    Credits: 3. Prereq., second year standing in graduate school.  Topics include publishing,  grant writing, writing in mathematics classes, media use in mathematics, evaluation and assessment of curricular materials and programs, instructional methods in university mathematics courses, and other selected topics. Level: Graduate
  • M 605 - Learning Theories in Mathematics

    Credits: 3. Prereq., graduate status.  How children learn mathematical content and processes.  Models of mental development, concept formation, problem solving, reasoning, and creative thinking. Level: Graduate
  • M 606 - Current Topics in the History of Mathematics

    Credits: 3. Examination of mathematical history topics from the latter part of the 20th century. Discussions may focus on the impact of Hilbert’s Problems.  Research on current mathematics. Level: Graduate
  • M 609 - Research Methods in Mathematics Education

    Credits: 3. Prereq., Consent of instr.  Resources for learning of reported research, critical reviews of research, quantitative and qualitative processes. Level: Graduate
  • M 610 - Graduate Seminar in Applied Mathematics

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. A review and discussion of current research. Level: Graduate
  • M 620 - Graduate Seminar in Algebra

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. Level: Graduate
  • M 630 - Graduate Seminar in Geometry/Topology

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. A review and discussion of current research. Level: Graduate
  • M 650 - Graduate Seminar in Analysis

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. A review and discussion of current research. Level: Graduate
  • M 680 - Graduate Seminar in Combinatorics and Optimization

    Credits: 1 TO 12. (R–12) Offered autumn and spring. Prereq., consent of instr. A review and discussion of current research. Level: Graduate
  • M 690 - Supervised Internship

    Credits: 1 TO 12. (R–6) Offered autumn and spring.  Prereq., consent of department.  Supervised Teaching Internship. Level: Graduate
    Course Attributes:
    • Research & Creative Schlrshp
  • M 691 - Practicum

    Credits: 3. Prereq., consent of instr.  Resources for learning of reported research, critical reviews of research, quantitative and qualitative processes. Level: Graduate
  • M 694 - Seminar

    Credits: 1 TO 12. (R–12)  Offered autumn and spring. Prereq., consent of instr. A review and discussion of current research. Topics vary. Level: Graduate
  • M 699 - Dissertation

    Credits: 1 TO 9. (R–9) Offered autumn and spring. Level: Graduate

Mathematics-Statistics

  • STAT 216 - Introduction to Statistics

    Credits: 4. Offered autumn and spring. Prereq., M 115 (preferred), or one of M 121, 135, 151, 162 or 171, or ALEKS placement >= 4. Introduction to major ideas of statistical inference. Emphasis is on statistical reasoning and uses of statistics.
  • STAT 341 - Introduction to Probability and Statistics

    Credits: 3. Offered autumn and spring. Prereq., one of M 162, 172 or 182. Probability, probability models and simulation, random variables, density functions, special distributions, and a brief survey of estimation and hypothesis testing. Computer use integrated throughout.
  • STAT 421 - Probability Theory

    Credits: 3. Offered autumn. Prereq., M 273 and STAT 341 or consent of instr. An introduction to probability, random variables and their probability distributions, estimation and hypothesis testing.  This course is the foundation on which more advanced statistics courses build.
  • STAT 422 - Mathematical Statistics

    Credits: 3. Offered spring. Prereq., STAT 421. Continuation of 421.
  • STAT 451 - Statistical Methods I

    Credits: 3. Offered autumn. Prereq., one year of college mathematics including M 115 or equiv. course in probability or consent of instr. May not be counted toward a major in mathematics. Intended primarily for non-mathematics majors who will be analyzing data. Graphical and numerical summaries of data, elementary sampling, designing experiments, probability as a model for random phenomena and as a tool for making statistical inferences, random variables, basic ideas of inference and hypothesis testing.
  • STAT 452 - Statistical Methods II

    Credits: 3. Offered spring. Prereq., STAT 451. Continuation of STAT 451. May not be counted toward a major in mathematics.  Multiple regression, experimental design, analysis of variance, other statistical models.
  • STAT 457 - Computer Data Analysis I

    Credits: 1. Offered autumn. Coreq., STAT 451 or consent of instr.  An introduction to software for doing statistical analyses. Intended primarily for students in STAT 451.
  • STAT 458 - Computer Data Analysis II

    Credits: 1. Offered spring. Coreq., STAT 452 or consent of instr. Continuation of STAT 457. Intended primarily for students in STAT 452.
  • STAT 491 - Special Topics

    Credits: 1 TO 9. (R 9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one time offerings of current topics.
  • STAT 540 - Probability and Statistics for Teachers

    Credits: 3. Offered intermittently in summer.  Prereq., STAT 341 or equiv.  A survey of modern topics in probability and statistics. Emphasis will be on applications of statistics in real situations. Level: Graduate
  • STAT 541 - Advanced Mathematical Statistics

    Credits: 3. Offered intermittently.  Prereq., STAT 422.  Advanced theory of estimation and hypothesis testing including large sample theory. Level: Graduate
  • STAT 542 - Applied Linear Models

    Credits: 3. Offered autumn even-numbered years.  Prereq., STAT 422 or consent of instr.  Numerical and graphical data summaries, simple linear and multiple regression and analysis of variance, including estimation, hypothesis testing, residual analysis, diagnostics, and model-building strategies.  Use of the computer and real data sets integrated throughout. Level: Graduate
  • STAT 543 - Applied Multivariate Statistical Analysis

    Credits: 4. Offered spring even-numbered years. Prereq., STAT 452 or 422, or consent of instr. Introduction to multivariate statistical methods and applications. Includes appropriate linear algebra, random vectors, multivariate normal distribution, multivariate ANOVA, principal components, clustering, discriminant analysis, and related topics.  Use of the computer and real data sets integrated throughout. Intended for students in mathematics and in other fields. Level: Graduate
  • STAT 544 - Topics in Probability and Statistics

    Credits: 3. (R-12) Offered intermittently. Prereq., STAT 422 and consent of instr. May include theory of nonparametric statistics, generalized linear models, stochastic processes or other topics chosen by the instructor. Level: Graduate
  • STAT 545 - Theory of Linear Models

    Credits: 3. Offered autumn odd-numbered years. Prereq., STAT 422. Multivariate normal distribution, distribution of quadratic forms, estimation and hypothesis testing in the full rank and less than full rank general linear models. Level: Graduate
  • STAT 547 - Applied Nonparametric Statistics

    Credits: 3. Offered autumn odd-numbered years. Prereq., STAT 421 or 452 or consent of instr. Statistical estimation and inference based on ranks and elementary counting methods.  Applications to a variety of situations including one- and two-sample, correlation, regression, analysis of variance, and goodness-of-fit problems.  Use of the computer and real data sets integrated throughout.  Intended for students in mathematics and in other fields. Level: Graduate
  • STAT 549 - Applied Sampling

    Credits: 3. Offered autumn even-numbered years.  Theory and application of methods for selecting samples from populations in order to efficiently estimate parameters of interest.  Includes simple random, systematic, cluster, stratified, multistage, line transect, distance and adaptive sampling.  Use of the computer and real data sets integrated throughout.  Intended for students in mathematics and in other fields. Level: Graduate
  • STAT 640 - Graduate Seminar in Probability and Statistics

    Credits: 1 TO 12. (R-12) Offered autumn and spring. Prereq., consent of instr. A review and discussion of current research. Level: Graduate