2023-2024


MATH

Student will work with an experienced member of the faculty in teaching a college mathematics course.

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 short course devoted to a specific mathematical topic. May be repeated for credit on each new topic.

A course designed to upgrade the qualifications of persons on-the-job. May be repeated for credit on each new topic.

This course is designed to allow undergraduate students an opportunity to integrate their undergraduate mathematics experiences by engaging each student in working on a problem in applied or theoretical mathematics. In doing so, students will see connections between the various topics found in the undergraduate mathematics curriculum. Content will vary by semester. An important component of this course will be the preparation and presentation of a research paper describing the student's progress toward a solution of the problem under consideration. Problems will arise from the course content and materials as presented by the instructor. Because of the breadth of mathematical topics needed for successful completion of the course, students need to have senior standing.

Prerequisites:
Two of the following: MATH 316, MATH 321, MATH 345, MATH 375 and senior standing (or permission of the instructor). Course can also be taken independent study with permission of a cooperating faculty member.

This course is designed to allow undergraduate students an opportunity to integrate their undergraduate mathematics experiences by engaging each student in working on a problem in applied or theoretical mathematics. In doing so, students will see connections between the various topics found in the undergraduate mathematics curriculum. Content will vary by semester. An important component of this course will be the preparation and presentation of a research paper describing the student's progress toward a solution of the problem under consideration. Problems will arise from the course content and materials as presented by the instructor. Because of the breadth of mathematical topics needed for successful completion of the course, students need to have senior standing.

Prerequisites:
Two of the following: MATH 316, MATH 321, MATH 345, MATH 375 and senior standing (or permission of the instructor). Course can also be taken independent study with permission of a cooperating faculty member.

This class provides MAX scholars with an opporutnity to explore a set of topics related to achieving success in academic, professional and personal realms. Speakers will include faculty, graduate students, visiting researchers and industry members as well as student participants. Students will be required to participate in mentoring of lower division MAX scholarship recipients and provide written and oral presentations of various topics during the semester.

Prerequisites:
Recipient of a MAX scholarship or instructor consent

A course in an area of mathematics not regularly offered. May be repeated for credit 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.

Independent individual study under the guidance and direction of a faculty member in mathematics. Special arrangements must be made with an appropriate faculty member. May be repeated for credit on each new topic.

An introduction to topological spaces and their fundamental properties such as compactness, connectedness, separation properties and countability properties. Continuous functions between topological spaces and common examples of topological spaces are also discussed.

Prerequisites:
MATH 290

Algebra and geometry of complex numbers, analytic functions, power series, Cauchy's theorem and residue theorem.

Prerequisites:
MATH 223 and MATH 290 with "C" (2.0) or better or consent.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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

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.