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Catalog Year 2025-2026

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MathematicsCredits

The topology of Euclidean spaces, norms, classical inequalities, local and global properties of continuous functions, preservation of compactness and connectedness, sequences in Euclidean space and sequences of functions.

Prerequisites:
MATH 223 and MATH 290 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

A continuation of MATH 4/517. The course may include topics from metric spaces, Riemann-Stieltjes integration, differentiation in Euclidean space, sequences and series of functions, approximation theorems, implicit and inverse function theorems, equicontinuity, and mapping theorems.

Prerequisites:
(MATH 417 or MATH 517) with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

This course presents the theory, computations, and applications of partial differential equations and Fourier series.

Prerequisites:
MATH 223 and MATH 321 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

This course presents topics from mathematical analysis of both discrete and continuous models taken from problems in the natural sciences, economics, and resource management.

Prerequisites:
MATH 223 and MATH 247 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

Simplex method and its variants, duality, sensitivity analysis, interior-point methods, quadratic programming and linear complementarity problems. Applications such as classification problems and game theory with linear optimization software.

Prerequisites:
MATH 122 and MATH 247
Areas of Interest:
Education and Training

Geometry of spaces including Euclidean and non-Euclidean and applications of contemporary geometry.

Prerequisites:
MATH 247 and MATH 290 with a grade of "C" (2.0) or higher, or consent.
Areas of Interest:
Education and Training

Euclidean algorithm, primes, composites, number theoretic functions, congruences, Diophantine equations, Euler and Fermat theorems, and algebraic number fields.

Prerequisites:
MATH 345 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

A continuation of MATH 345. The course will include topics from groups, rings, and fields.

Prerequisites:
MATH 345 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

An in-depth study of linear operators and their related spaces, dimension, rank, matrix representation of linear operators, special matrices, determinants, eigenvectors, and eigenvalues.

Prerequisites:
MATH 345 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications. Includes probability, continuous probability distributions, multivariate distributions, functions of random variables, central limit theorem, and statistical inference. Same as STAT 555

Prerequisites:
MATH 223 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications, including sufficient statistics, additional statistical inference, theory of statistical tests, inferences about normal models, and non-parametric methods. Same as STAT 556.

Prerequisites:
(MATH 455 or MATH 555) or (STAT 455 or STAT 555) with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

This course applies probabilistic methods to problems encountered in actuarial science that prepares students for the Society of Actuaries Exam P/1.

Prerequisites:
(MATH/STAT 354 and MATH 223) or MATH/STAT 455 or MATH/STAT 555
Areas of Interest:
Education and Training

This course covers all the topics in the mathematical theory of interest of the Society of Actuaries Exam FM/2. Topics include time value of money, measurement of interest, annuities certain, arithmetic and geometric annuities, amortization schedules and sinking fund, bonds and other securities, yield rates, and interest rate immunization.

Prerequisites:
MATH 122 or better or consent.
Areas of Interest:
Education and Training

This course provides an introduction to techniques and analysis involved with solving mathematical problems using technology. Topics included are errors in computation, solutions of linear and nonlinear equations, numerical differentiation and integration, and interpolation.

Prerequisites:
MATH 122 and MATH 247 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

This course is a continuation of MATH 470. Topics included are the algebraic eigenvalue problem, least-squares approximation, solutions of systems of nonlinear equations, and numerical solutions of ordinary differential equations.

Prerequisites:
(MATH 470 or MATH 570) and MATH 223 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training
Programs:

Students will learn fundamental concepts of computer programming and write software to implement a variety of mathematical algorithms, manipulate large amounts of data, test conjectures, and make abstract mathematical concepts concrete. Programming concepts include input versus output, data structures, local and global variables, switch statements, iteration, recursion, halting conditions, modularity, debugging, and algorithm analysis. Programming projects may vary with instructor, but could include topics from enumerative combinatorics, graph theory, group theory, linear algebra, and number theory.

Prerequisites:
Math 375 and Math 345 with grade of C (2.0) or better in both courses.
Areas of Interest:
Education and Training

The development of selected topics from before the Hellenistic time period to the late twentieth century. Familiarity with the content of HIST 180 is beneficial.

Prerequisites:
MATH 345 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

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Prerequisites:
MATH 290 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

This course is designed to inform secondary mathematics teachers about effective utilization of technology in the mathematics curriculum.

Prerequisites:
MATH 290 with "C" (2.0) or better or consent.
Areas of Interest:
Education and Training

A course of study in which a group of students study a topic by examining results through reports and discussions. May be repeated for credit on each new topic.

A course in an area of mathematics not regularly offered. May be repeated on each new topic.

Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person.

Mathematical concepts of graph theory applied to problems that have algorithmic solutions.

Prerequisites:
(MATH 417 or MATH 517) and Math 375 and (MATH 447 or MATH 547) or consent.
Areas of Interest:
Education and Training

Can be used for any graduate level discrete mathematics course not offered as a regular course. Distinct offerings may be repeated for credit.

Prerequisites:
MATH 375 and (MATH 447 or MATH 547) or consent.
Areas of Interest:
Education and Training

Measure theory, integration, metric spaces, and Banach spaces.

Prerequisites:
MATH 417 or MATH 517 or consent.
Areas of Interest:
Education and Training

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