Graduate Math Courses
MTH 505 Mathematical Problem Solving (A) Develops problem-solving ability in mathematics. Includes how to get started, methods of proof, devising a strategy, and "looking back." Places strong emphasis on critical reasoning and clarity of written expression. 3 Cr. (Summer.) [Prerequisite - Instructor's Permission.]
MTH 512 History of Mathematics (A)Covers the history and development of mathematical ideas from primitive origins to today. Includes topics such as arithmetic, number theory, geometries, algebra, calculus and selected advanced topics. 3 Cr. [Prerequisite: MTH 202 and either MTH 245 or MTH 281.]
MTH 521 Number Theory (A) Topics include but are not limited to: mathematical induction, divisibility, primes, arithmetic functions, congruencies, modular arithmetic, Diophantine problems and the distribution of primes. 3 Cr. [Prerequisites: MTH 202 and MTH 281.]
MTH 523 Data Science (A) An introduction to techniques and topics of data science. This course will cover both the mathematical background behind models in machine learning, as well as an emphasis on programming projects done in Python. Covers linear and logistic regression, classification problems, k-nearest neighbors, random forest decision trees, support vector machines and unsupervised learning. Swing course MTH 423. 3 Cr. [Prerequisites: MTH 281 & 202.]
MTH 525 Modern Algebra (A)Provides a study of algebraic systems, with special attention to groups and their classification properties. Emphasizes theory and proofs, but clarifies that ideas by means of specific examples involving modular arithmetic, real and complex numbers, permutations, and matrices. Requires extensive writing. 3 Cr. (Every Semester.)
MTH 530 Topology (A) Provides a study of topologies on various spaces. Emphasizes theory, abstraction, proof techniques and clarifies these by means of many specific examples. Bridges topics such as geometry, analysis and algebra. Topics include, but are not limited to set theory, continuous functions, connectedness, compactness, and separation. 3 Cr. (Spring.) [Prerequisites - MTH324.]
MTH 532 College Geometry (A)Studies geometry from the synthetic, analytic, transformational and vector viewpoints. Includes these topics: axiomatic systems, finite geometries, absolute geometry, Euclidean geometry, non-Euclidean geometries, geometric transformations and projective geometry. 3 Cr. [Prerequisite: MTH 324.]
MTH 541 Statistical Methods (A)This course focuses on investigative statistics, emphasizing the process of data collection and data analysis. It will incorporate case studies from current events and interdisciplinary research, taking a problem-based approach to learn how to determine which statistical techniques are appropriate. Topics will typically include making connections between the two-sample t-test, Regression and ANOVA; Multiple Regression; Design and Analysis of Experiments; Logistic Regression and Survival Analysis. 3 Cr.
MTH 546 Probability and Statistics II (A)Covers the Central Limit Theorem, maximum likelihood estimation, method of moments, unbiased and sufficient statistics, minimum variance, Cramer-Rao lower bound, confidence intervals, Neyman-Pearson Lemma, power calculations, likelihood ratio tests. 3 Cr. [Prerequisites: MTH 203 and MTH 346.]
MTH 547 Time Series (A) This course introduces the theory and practice of Time Series Analysis. Students will learn how to model and forecast a time series as well as read papers from the literature. 3 Cr. [Prerequisites - MTH243 or MTH346.]
MTH 552 Financial Mathematics (A)Provides fundamental concepts of financial mathematics and prepares students for EXAM FM (Financial Mathematics) of the Society of Actuaries. Students will learn about inflation, rate of interest, stocks, bonds, and other financial instruments. Midterm and final exam will contain more advanced problems specifically designed for graduate students. In addition graduate students will complete a project. MTH 442 is the swing course. 3 Cr.
MTH 556 Advanced Differential Equations (A)Covers series solutions about singular points, systems of linear first-order differential equations, plane autonomous systems, Fourier series, Sturm Liouville problems, partial differential equations of physics including the heat, wave and Laplace equation. 3 Cr. [Prerequisites: MTH 255, MTH 324 or some exposure to matrix theory.]
MTH 557 Real Analysis (A)Provides a study of functions of a real variable. Emphasizes theory and proof techniques. Includes: real numbers, denseness of the rational numbers, convergence of sequences of real numbers, Cauchy sequences, Bolzano-Weierstrass theorem, continuous functions, uniform continuity, differentiable functions and integrable functions. Enhances understanding of the topics through a series of required writing tasks. 3 Cr. [Prerequisites: MTH 203 and MTH 324.]
MTH 558 Complex Analysis (A) Provides a study of functions of a complex variable. Focus on the theory of analytic functions. Includes: Cauchy-Rienmann equations, Cauchy’s Theorem, Cauchy’s integral formula, the Fundamental Theorem of Algebra, Laurent series, Residue Theorem, Contour intergration and applications to real integrals. 3 Cr. [Prerequisites: MTH203 and MTH324.]
MTH 560 Mathematical Modeling (A)Topics covered include Linear Programs, Duality Theory and Sensitivity Analysis, Simplex Method, Integer Programs, Branch and Bound, Markov chains (Ergodic and Absorbing), Critical Path Method, Birth and Death Processes, Intro to Queuing: M/M/1 queues; M/M/1 queues with finite capacity; M/M/s queues; finite source models; general distribution service models. Optimization and Algebra software will be used. 3 Cr. [Prerequisites: MTH 202 and MTH 281.]
MTH 563 Graph Theory (A)An introduction to graph theory, including distance concepts, symmetry and structure, trees and connectivity, Eulerian and Hamiltonian Graphs, planar graphs and imbeddings and applications of graphs. 3 Cr. [Prerequisite: MTH324 or instructor's permission.]
MTH 565 Combinatorics (A) An introduction to combinatorics, including basic counting techniques involving permutations, combinations, compositions, and partitions; binomial coefficients; the twelve-fold way; recursions and generating functions. Other topics may include a more advanced study of permutations, sequences in combinatorics, magic squares, the probabilistic method, etc. 3 Cr. [Prerequisites: MTH 324 and instructor's permission.]
MTH 571 Numerical Analysis I (A)Covers the development of methods used to numerically approximate the solutions to mathematical problems, with consideration given to generation and propagation of round-off errors, convergence criteria and efficiency of computation. Includes these topics: roots of nonlinear equations, systems of nonlinear and linear equations, polynomial approximations, numerical differentiation and integration, and curve fitting. Mathematical software, such as MAPLE, will be used. 3 Cr. [Prerequisites: MTH 203.]
MTH 581 Discrete Mathematics II (A) A second course in discrete mathematics. Includes: study of algorithms, recurrence relations, inclusion-exclusion principle, partial order and equivalence relations, graph theory, and trees. 3 Cr. [Prerequisites: MTH 201 and MTH 281.]
MTH 592 Mathematics Internship (A)Requires projects that may include applications in business, the social sciences, or physical sciences. A maximum of three credits can be applied toward the mathematics major. 1-6 Cr. (Every Semester.) [(Prerequisite - Instructor's Permission) Allows for a supervised experience in applying mathematical skills and techniques in a practical work environment.]
MTH 599 Independent Study in Mathematics (A)(Prerequisite - Instructor's Permission) To be defined in consultation with the instructor/ sponsor prior to registration. 1-3 Cr.
MTH 605 Problem Solving in Mathematics (A) Develops problem-solving ability at the graduate level. Emphasis on meaning, strategies and written communication. Especially appropriate for adolescence mathematics teachers. 3 Cr. [Prerequisite - Instructor's Permission.]
MTH 621 Algebra (A)Includes these topics: groups and subgroups, normal subgroups and quotient groups, permutation groups, finite Abelian groups, some special classes of rings, homomorphisms, ideals and quotient rings Euclidean rings and polynomial rings. 3 Cr. [Prerequisite: MTH 425.]
MTH 628 Applications of Algebra (A)Applies group theory and ring theory to the solution of polynomial equations and to problems in number theory, geometry, coding theory, combinatorics and selected areas of computer science. 3 Cr. [Prerequisite: MTH 425 and either MTH 621 or permission of instructor.]
MTH 629 Topics in Algebra and Number Theory (A) Introduces topics of current interest in research or topics not covered in other courses in algebra and number theory. An outline of selected topics will be announced before the course is offered. 3 Cr. [Prerequisite: permission of instructor.]
MTH 639 Topics in Geometry (A)Introduces topics of current interest in research or topics not covered in other courses in geometry. An outline of selected topics will be announced before the course is offered. 3 Cr. [Prerequisite: MTH 324.]
MTH 641 Mathematical Statistics (A)Allows for rigorous development of probability concepts in the sample space and models for discrete and continuous random variables. Introduces bivariate normal distribution, transformation of variables, statistics and sampling distributions, Central Limit Theorem, parametric estimation, Rao-Cramer inequality, hypothesis tests, power functions, Neyman-Pearson Theorem and both UMP and Likelihood Ratio tests. 3 Cr. [Prerequisite: MTH 446 or MTH546.]
MTH 651 Real Analysis (A) Includes topics such as uniform continuity and the Weierstrass Approximation Theorem, theory of differentiation and the Riemann integral, convergence of series of functions, uniform convergence of series of functions, functions of bounded variation, Riemann-Stieltjes integration, Lebesque measure and Lebesque integration. 3 Cr. [Prerequisite: MTH 457.]
MTH 659 Topics in Analysis (A) Introduces topics of current interest in research or topics not covered in other courses in analysis. An outline of selected topics will be announced before the course is offered. 3 Cr. [Prerequisite: permission of instructor.]
MTH 669 Topics in Applicable Mathematics and Statistics (A) Introduces topics of current interest in research or topics not covered in other courses in applicable mathematics and statistics. An outline of selected topics will be announced before the course is offered. 3 Cr. [Prerequisite: permission of instructor.]
MTH 681 Topics in Discrete Mathematics (A) Includes topics of current interest in areas of discrete mathematics not covered (in depth) in other discrete math courses. An outline of selected topic(s) will be announced before the course begins. 3 Cr. [Prerequisite - Instructor's Permission.]
MTH 699 Independent Study in Mathematics (A)To be defined in consultation with the instructor/sponsor prior to registration. 1-3 Cr.
