2022-2023 Course List

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

Prerequisites:

(MATH 417 or MATH 517) and (MATH 422 or MATH 522) and (MATH 447 or MATH 547) or consent.

The theory of functions of one complex variable. Complex numbers, contour integration, analytic functions, residues, and power series.

Prerequisites:

(MATH 417 or MATH 517) or consent.

Optimal conditions for constrained and unconstrained optimization problems, and a comprehensive description of the most powerful, state-of-the-art, techniques for solving continuous optimization problems. Large-scale optimization techniques are emphasized in the course.

Prerequisites:

MATH 517 and MATH 547

This course presents selected topics in projective, transformational, and differential geometry.

Prerequisites:

Consent

A rigorous excursion through some of the topics of abstract algebra which are essential components of the background of a masters level graduate student. Abstract topics include groups, rings, fields, and modules. Concrete applications include properties of the integers, polynomial rings, and the symmetric group.

Prerequisites:

MATH 345 or consent.

This course will cover advanced topics such as (but not limited to) free abelian groups, group rings, noetherian/generalized noetherian rings, coherent/generalized coherent rings, homological algebra, homological dimension theory, representation theory of finite fields, galois theory of equations, field theory, valuation theory, and semigroups.

Prerequisites:

MATH 641 or consent.

Heuristics in mathematical problem solving and mathematical modeling for teachers.

Algebraic concepts and procedures interpreted and related from the perspectives of abstract algebra, cognitive research on the learning of algebra, and professional curriculum and instruction programs.

Prerequisites:

MATH 345 or consent.

The Van Hiele model of the development of geometric thought and recent developments of geometric theory and applications which are related to the school mathematics curriculum.

Prerequisites:

MATH 332 or consent.

This course is an in-depth study of solving ordinary differential equations and partial differential equations numerically. Runge-Kutta methods and general multi-step methods are developed for ordinary differential equations. Finite Difference Method and Finite Element methods are developed for partial differential equations. Error control and step size changing for both stiff and non-stiff equations are analyzed.

Prerequisites:

MATH 321 and (MATH 470 or MATH 570) or consent.

This course is an in-depth study of solving algebraic eigenvalue problems, least-square problems, direct and iterative methods for solving linear systems, and their applications.

Prerequisites:

(MATH 447 or MATH 547) and (MATH 470 or MATH 570) or consent.

Independent individual study under the guidance and direction of a graduate faculty member.

Prerequisites:

Consent

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

Independent readings in mathematics under the direction of a graduate faculty member.

Prerequisites:

Consent

Examination of cognitive theories guiding research in mathematics education; analysis and interpretation of research procedures applied in experimental, qualitative, program evaluation, survey, meta-analysis, theory-generating, and action research studies in mathematics education.

Prerequisites:

(STAT 450 or STAT 550) or (STAT 451 or STAT 551) or consent.

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

Topological spaces, continuity, product spaces, connectedness, separation, compactness, and metric spaces.

Prerequisites:

MATH 417 or MATH 517 or consent.

Will cover topics at the discretion of the instructor, such as, but not limited to, those in the following list: algebraic topology, homotopy theory, homology theory, differential topology, topological groups, topological vector spaces, categorical topology, catastrophe theory, lie Groups, algebras of continuous functions, and uniform structures.

Prerequisites:

MATH 692 or consent.

Research under the supervision of the student's advisor leading to an alternate plan paper.

Prerequisites:

Consent

A short course devoted to a specific mathematical topic. 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.

Research under the supervision of the student's advisor leading to a thesis.

Prerequisites:

Consent

This course provides an advanced overview of the production and management of workplace communication. Participants will analyze and produce documents typical of workplace communication (ranging from memos and reports to business plans and websites) and research presentations, documentation, and management of communication projects appropriate to their industry or business concerns.

This course provides an understanding of the role of statistics related to the gathering and creation of information used in business decision making. Data analysis concepts covered include hypotheses testing, ANOVA, multiple regression, time series analysis, and chi-square tests.

The course develops and integrates principles and ideas from economic and business and applies them to managerial decision making and policy formulation within a firm.