MATH 097 : Intermediate Algebra.
(0:2:1)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | High school algebra. |
| DESCRIPTION:  | Elementary logic, real number system, equations and inequalities (linear, polynomial, rational, and radical expressions), graphing, function notation, inverse function, exponential functions, systems of equations, variations. |
| NOTE: | Fee. |
100-Level Courses
MATH 102 : Quantitative Reasoning.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| DESCRIPTION:  | Practicing and applying quantitative reasoning: personal finance, consumer statistics, etc. |
| NOTE: | For students who do not need developmental algebra for subsequent courses. |
MATH 110 : College Algebra.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | Math 97 or equivalent. |
| DESCRIPTION:  | Functions, polynomials, theory of equations, exponential and logarithmic functions, matrices, determinants, systems of linear equations, permutations, combinations, binomial theorem. |
MATH 111 : Trigonometry.
(2:2:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | Math 110 or equivalent. |
| DESCRIPTION:  | Circular functions, triangle relationships, identities, inverse trig functions, trigonometric equations, vectors, complex numbers, DeMoivre's theorem. |
MATH 112 : Calculus 1.
(4:5:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | Honors also. |
| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | Math 110 and 111 or equivalent. |
| DESCRIPTION:  | Differential and integral calculus: limits; continuity; the derivative and applications; extrema; the definite integral; fundamental theorem of calculus; L'Hopital's rule. |
: Honors Calculus 1.
MATH 113 : Calculus 2.
(4:5:0)(Credit Hours:Lecture Hours:Lab Hours)| OFFERED: | Honors also. |
| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | Math 112 or equivalent. |
| DESCRIPTION:  | Techniques and applications of integration; sequences, series, convergence tests, power series; parametric equations; polar coordinates. |
MATH 119 : Introduction to Calculus.
(4:4:1)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | Math 110 or equivalent. |
| DESCRIPTION:  | Introduction to plane analytic geometry and calculus. |
| NOTE: | For students in the College of Life Sciences and the Marriott School of Management. |
200-Level Courses
MATH 222 : Seminar in Mathematics 2.
(.5:1:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | MATH 221 |
| DESCRIPTION:  | Careers, topics, and problems in mathematics. Use of Maple, Mathematica, and TeX in mathematics. |
MATH 290 : Fundamentals of Mathematics.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter |
| PREREQUISITE: | Math 112 or concurrent enrollment with instructor's consent. |
| DESCRIPTION:  | Achieving maturity in mathematical communication. Introduction to mathematical proof; methods of proof; analysis of proof; induction; logical reasoning. |
300-Level Courses
MATH 300 : (Math-MthEd) History and Philosophy of Mathematics.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring |
| PREREQUISITE: | MATH 113 |
| DESCRIPTION:  | Historical development of important mathematical ideas and philosophies; implications for the mathematical curriculum. |
MATH 302 : Mathematics for Engineering 1.
(4:4:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter |
| PREREQUISITE: | MATH 113; Passing grade on required preparatory exam taken during first week of class. (Practice exams available on class web site). |
| DESCRIPTION:  | Multivariable calculus, linear algebra, and numerical methods. |
MATH 314 : Calculus of Several Variables.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | MATH 313 |
| DESCRIPTION:  | Partial differentiation, the Jacobian matrix, and integral theorems of vector calculus. |
MATH 334 : Ordinary Differential Equations.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | MATH 113 & MATH 313 |
| DESCRIPTION:  | Methods and theory of ordinary differential equations. |
MATH 341 : Theory of Analysis 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter |
| PREREQUISITE: | MATH 113 & MATH 290 |
| DESCRIPTION:  | Rigorous treatment of calculus of a single real variable: topology, order, completeness of real numbers; continuity, differentiability, integrability, and convergence of functions. |
MATH 342 : Theory of Analysis 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter |
| PREREQUISITE: | MATH 313 & MATH 341 |
| DESCRIPTION:  | Rigorous treatment of calculus of several real variables; metric spaces, geometry and topology of Euclidean space, differentiation implicity function theorem, integration on sets and manifolds. |
MATH 352 : Introduction to Complex Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter |
| PREREQUISITE: | MATH 314; or MATH 342 |
| DESCRIPTION:  | Complex algebra, analytic functions, integration in the complex plane, infinite series, theory of residues, conformal mapping. |
MATH 362 : (Math-MthEd) Survey of Geometry.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Summer |
| PREREQUISITE: | MATH 290 |
| DESCRIPTION:  | Logical and historical development of Euclidean and non-Euclidean geometry, transformations and symmetry; relationships among axiomatic systems; use of software and other geometric models; proofs and Van Hiele levels. |
MATH 391R : Seminar in Mathematics.
(1:1:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter |
| DESCRIPTION:  | Topics from classical problems of antiquity, combinatorial mathematics, graph theory, real functions, number theory, functional equations. |
400-Level Courses
MATH 410 : Introduction to Numerical Methods.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | MATH 314 |
| DESCRIPTION:  | Root finding, interpolation, curve fitting, numerical differentiation and integration, multiple integrals, direct solvers for linear systems, least squares, rational approximations, Fourier and other orthogonal methods. |
MATH 411 : Numerical Methods.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | MATH 334 & MATH 410 |
| DESCRIPTION:  | Iterative solvers for linear systems, eigenvalue, eigenvector approximations, numerical solutions to nonlinear systems, numerical techniques for initial and boundary value problems, elementary solvers for PDEs. |
MATH 425 : Mathematical Biology.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | MATH 112 |
| DESCRIPTION:  | Using tools in mathematics to help biologists. Motivating new mathematics with questions in biology. |
MATH 431 : (Math - EC En 370) Probability Theory.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | MATH 313 |
| DESCRIPTION:  | Axiomatic probability theory, conditional probability, discrete / continuous random variables, expectation, conditional expectation, moments, functions of random variables, multivariate distributions, laws of large numbers, central limit theorem. |
MATH 435 : Mathematical Finance.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | MATH 431 |
| DESCRIPTION:  | The binomial asset pricing model (discrete probability). Martingales, pricing of derivative securities, random walk in financial models, random interest rates. |
MATH 447 : Introduction to Partial Differential Equations.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter; Summer |
| PREREQUISITE: | MATH 303; or MATH 314 & MATH 334 |
| DESCRIPTION:  | Boundary value problems; transform methods; Fourier series; Bessel functions; Legendre polynomials. |
MATH 451 : Introduction to Topology.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | MATH 341 |
| DESCRIPTION:  | Developing topological concepts, beginning from a linear setting. Developing proofs or counterexamples from axioms to a structured sequence of topological propositions using only notes provided. |
MATH 460R : Topics in Geometry.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 313, 362; or equivalents. |
| DESCRIPTION:  | Topics selected from the various aspects of synthetic, analytic, algebraic, and differential geometry. |
MATH 465 : Differential Geometry.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| PREREQUISITE: | MATH 314; Math 341 or equivalent. |
| RECOMMENDED: | Math 342 or equivalent. |
| DESCRIPTION:  | Geometry of smooth curves and surfaces. Topics include the first and second fundamental forms, the Gauss map, orientability of surfaces, Gaussian and mean curvature, geodesics, minimal surfaces and the Gauss-Bonnet Theorem. |
MATH 473 : Group Representation Theory.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | MATH 371 |
| DESCRIPTION:  | FG-modules; Maschke's theorem; Schur's lemma; characters of groups; orthogonality relations of characters; induced, lifted and restricted characters; construction of character tables; Burnside's theorem. |
MATH 480 : Mathematical Models.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | MATH 334 & MATH 410 |
| DESCRIPTION:  | Construction, solution, and interpretation of discrete and continuous models applied to problems in the physical, natural, and social sciences. |
MATH 485 : Mathematical Cryptography.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | MATH 313 |
| RECOMMENDED: | Math 371. |
| DESCRIPTION:  | A mathematical introduction to some of the high points of modern cryptography. |
MATH 487 : Number Theory.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Spring |
| PREREQUISITE: | MATH 371 |
| DESCRIPTION:  | Foundations; congruences; quadratic reciprocity; unique factorization, prime distribution or Diophantine equations. |
MATH 495R : Readings in Mathematics.
(.5-2:0:3)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall; Winter; Spring; Summer |
| PREREQUISITE: | Instructor's consent. |
| DESCRIPTION:  | Directed readings beyond the scope of usual undergraduate courses. |
500-Level Graduate Courses (available to advanced undergraduates)
MATH 500 : (Math-Chem-C S-Geol-MthEd-Phscs-Stat) Business Practices for Science and Mathematics Majors.
(1.5:1.5:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| DESCRIPTION:  | Introduction to budgeting, project planning, oral business presentation, technology readiness, teaming, product liability. Specifically for science and math majors. |
MATH 510 : Numerical Methods for Linear Algebra.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | Math 410 or equivalent. |
| DESCRIPTION:  | Numerical matrix algebra, orthogonalization and least squares methods, unsymmetric and symmetric eigenvalue problems, iterative methods, advanced solvers for partial differential equations. |
MATH 511 : Numerical Methods for Partial Differential Equations.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | Math 303 or 447; 410; or equivalents. |
| DESCRIPTION:  | Finite difference and finite volume methods for partial differential equations. Stability, consistency, and convergence theory. |
MATH 521 : Methods of Applied Mathematics 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 334 or equivalent. |
| DESCRIPTION:  | Possible topics include variational, integral, and partial differential equations; spectral and transform methods; nonlinear waves; Green's functions; scaling and asymptotic analysis; perturbation theory; continuum mechanics. |
MATH 522 : Methods of Applied Mathematics 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 521 or equivalent. |
| DESCRIPTION:  | Possible topics include variational, integral, and partial differential equations; spectral and transform methods; nonlinear waves; Green's functions; scaling and asymptotic analysis; perturbation theory; continuum mechanics. |
MATH 532 : Complex Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 352 or instructor's consent. |
| DESCRIPTION:  | Introduction to theory of complex analysis at beginning graduate level. Topics: Cauchy integral equations, Riemann surfaces, Picard's theorem, etc. |
MATH 534 : Introduction to Dynamical Systems 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | Math 334, 341; or equivalents. |
| DESCRIPTION:  | Discrete dynamical systems; iterations of maps on the line and the plane; bifurcation theory; chaos, Julia sets, and fractals. Computational experimentation. |
MATH 541 : Real Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | Math 341; 314 or 342; or equivalents. |
| DESCRIPTION:  | Rigorous treatment of differentiation and integration theory; Lebesque measure; Banach spaces. |
MATH 543 : Advanced Probability 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | Math 314 or equivalent. |
| RECOMMENDED: | Math 341, Stat 441; or equivalents. |
| DESCRIPTION:  | Foundations of the modern theory of probability with applications. Probability spaces, random variables, independence, conditioning, expectation, generating functions, and Markov chains. |
MATH 544 : Advanced Probability 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | MATH 543 |
| RECOMMENDED: | Math 341, 342, 431; or equivalents. |
| DESCRIPTION:  | Advanced concepts in modern probability. Convergence theorems and laws of large numbers. Stationary processes and ergodic theorems. Martingales. Diffusion processes and stochastic integration. |
MATH 547 : Partial Differential Equations 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 334, 342; or equivalents. |
| DESCRIPTION:  | Methods of analysis for hyperbolic, elliptic, and parabolic equations, including characteristic manifolds, distributions, Green's functions, maximum principles and Fourier analysis. |
MATH 548 : Partial Differential Equations 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | MATH 547 |
| DESCRIPTION:  | Tools for PDEs and special topics: spherical means, method of descent, subharmonic functions, Hamilton-Jacobi equations, Riemann invariants, conservation laws for linear and non-linear waves. |
MATH 553 : Foundations of Topology 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | Math 451 or instructor's consent. |
| DESCRIPTION:  | Naive set theory, topological spaces, product spaces, subspaces, continuous functions, connectedness, compactness, countability, separation axioms, metrization, complete metric spaces, function spaces, and Baire spaces. |
MATH 554 : Foundations of Topology 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Winter |
| PREREQUISITE: | Math 553 or instructor's consent. |
| DESCRIPTION:  | Fundamental group, retractions and fixed points, homotopy types, separation theorems, classification of surfaces, Seifert-van Kampen Theorem, classification of covering spaces, and applications to group theory. |
MATH 561 : Introduction to Algebraic Geometry 1.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 671 or concurrent enrollment. |
| DESCRIPTION:  | Basic definitions and theorems on affine, projective, and quasi-projective varieties. |
MATH 562 : Introduction to Algebraic Geometry 2.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | MATH 561 |
| DESCRIPTION:  | Local properties of quasi-projective varieties. Divisors and differential forms. |
MATH 570 : Matrix Analysis.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| PREREQUISITE: | Math 302 or 313 or equivalent. |
| DESCRIPTION:  | Special classes of matrices, canonical forms, matrix and vector norms, localization of eigenvalues, matrix functions, applications. |
MATH 586 : Introduction to Algebraic Number Theory.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | On Demand |
| PREREQUISITE: | Math 372 or equivalent. |
| DESCRIPTION:  | Algebraic integers; different and discriminant; decomposition of primes; class group; Dirichlet unit theorem; Dedekind zeta function; cyclotomic fields; valuations; completions. |
MATH 587 : Introduction to Analytic Number Theory.
(3:3:0)(Credit Hours:Lecture Hours:Lab Hours)| WHEN TAUGHT: | Fall |
| PREREQUISITE: | Math 352 or equivalent. |
| DESCRIPTION:  | Arithmetical functions; distribution of primes; Dirichlet characters; Dirichlet's theorem; Gauss sums; primitive roots; Dirichlet L-functions; Riemann zeta-function; prime number theorem; partitions. |