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Math Courses

Breiseth Hall • 570-408-4235(T) • 570-408-7846 (F) • Email

Please note that the department makes every effort to make programs available to part-time as well as full-time students. Required courses are regularly offered in the late afternoons or the evenings.

MTH 411. REAL ANALYSIS
FOUR CREDITS
A rigorous study of the topology of the real line, limits, continuity, differentiation, integration, and series of functions. Offered fall semester of even years.

MTH 413. FUNCTIONS OF SEVERAL VARIABLES
THREE CREDITS
A modern treatment of calculus of functions of several real variables. Topics include: Euclidean spaces, differentiation, integration and manifolds leading to the classical theorems of Green and Stokes.
Prerequisites: MTH 311 and a course in linear algebra. Offered when demand warrants.

MTH 414. COMPLEX ANALYSIS
THREE CREDITS
Complex functions, limit, continuity, analytic functions, power series, contour integration, Laurent expansion, singularities and residues. Offered when demand warrants.

MTH 431. ABSTRACT ALGEBRA I
FOUR CREDITS
A rigorous study of elementary number theory, groups, rings, and fields. Offered fall semester of odd years.

MTH 432. ABSTRACT ALGEBRA II
THREE CREDITS
A continuation of Mathematics 331. Polynomial rings, ideals, field extensions and Galois Theory.
Prerequisite: MTH 331 Offered when demand warrants.

MTH 442. TOPOLOGY
THREE CREDITS
Metric spaces, topological spaces, countability and separation axioms, compactness, connectedness, product spaces.
Prerequisite: MTH 311 or consent of instructor. Offered when demand warrants.

MTH 443. GEOMETRY
THREE CREDITS
A study of selected topics from Euclidean and non-Euclidean geometry. Offered fall semester of even years.

MTH 451. PROBABILITY AND MATHEMATICAL STATISTICS I
THREE CREDITS
Random variables, probability distributions, expectation and limit theorems, confidence intervals. Offered every fall.

MTH 452. PROBABILITY AND MATHEMATICAL STATISTICS II
THREE CREDITS
Hypothesis testing, non-parametric methods, multivariate distributions, introduction to linear models.
Prerequisite: MTH 351 or consent of instructor. Offered spring semester of odd years.

MTH 454. STATISTICAL METHODOLOGY
THREE CREDITS
This course emphasizes applications, using statistical computer packages (SPSS or BMDP) and real data sets from a variety of fields. Topics include estimation and testing; stepwise regression; analysis of variance and covariance; design of experiments; contingency tables; and multivariate techniques, including the log-linear model.
Prerequisite: MTH 351 or consent of instructor. Offered spring semester of even years.

MTH 460. LINEAR PROGRAMMING
THREE CREDITS
Graphical linear programming, simplex algorithm and sensitivity analysis. Special L.P. models such as the transportation problem, transshipment problem, and assignment problem. May include integer programming, branch and bound algorithm, geometric programming, goal programming. (Same as CS 460)
Prerequisite: Programming experience in a high-level language. Offered fall semester of even years.

MTH 461 APPLIED MATHEMATICS I
THREE CREDITS
Intended for physical science and engineering students. Topics include inner product spaces, operator algebra, eigenvalue problems, Sturm-Liouville theory, Fourier series and partial differential equations. Offered fall semester of odd years.

MTH 462. APPLIED MATHEMATICS II
THREE CREDITS
Intended for physical science and engineering students. Topics include systems of linear differential equations; nonlinear differential equations; qualitative, numerical, and finite difference methods; theorems of Green and Stokes and the Divergence Theorem. Offered spring semester of even years.

MTH 463. OPERATIONS RESEARCH
THREE CREDITS
A survey of operations research topics such as decision analysis, inventory models, queueing models, dynamic programming, network models, heuristic models, and non-linear programming. (Same as CS 463)
Prerequisite: Programming experience in a high-level language. Offered spring semester of odd years.

MTH 464. NUMERICAL ANALYSIS
THREE CREDITS
Numerical methods of differentiation, integration, solution to equations and of differential equations with emphasis on problems that lend themselves to solution on computers.
Prerequisites: A course in differential equations and programming experience in a highlevel language. Offered when demand warrents..

MTH 470. READINGS IN MATHEMATICS
THREE CREDITS
Individual study of special topics under the supervision of a faculty member. Designed for students who have completed a substantial amount of course work in mathematics.
Prerequisite: Consent of Department Chairperson. May be repeated for credit.

MTH 511. MEASURE AND INTEGRATION
THREE CREDITS
Measures, measurable functions, integration, convergence theorems, product measures, signed measures.
Prerequisite: MTH 442 or consent of instructor. Offered when demand warrants.

MTH 513. FUNCTIONAL ANALYSIS
THREE CREDITS
Topics include: Banach spaces, Lp-spaces, Hilbert spaces, topological vector spaces, and Banach algebras.
Prerequisites: MTH 311 and a course in linear algebra. Offered when demand warrants.

MTH 532. MODERN ALGEBRA
THREE CREDITS
A study of group theory (including the Sylow Theorems and solvable groups); ring theory (including the Noetherian rings and UFDs); modules, tensor algebra, and semi-simple rings.
Prerequisites: MTH 331 and a course in linear algebra or consent of instructor. Offered when demand warrants.

MTH 542. ALGEBRAIC TOPOLOGY
THREE CREDITS
Polyhedra, simplicial homology theory, cohomology rings, and homotopy groups.
Prerequisite: MTH 442 Offered when demand warrants.

MTH 498/598. TOPICS IN MATHEMATICS
VARIABLE CREDIT
A wide range of topics in pure and applied mathematics may be offered upon demand.
Prerequisite: Consent of instructor May be repeated for credit.

MTH 590. THESIS
VARIABLE CREDIT
Prerequisite: Consent of Department Chairperson. May be repeated for credit.
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