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Catalog Year 2025-2026

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MathematicsCredits

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

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

An introduction to the basic concepts and principles of functional analysis. Normed spaces, Banach spaces, Hilbert spaces, and approximation theory are studied.

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

Applications of discrete and continuous mathematics to deterministic problems in the natural sciences, computer science, engineering, and economics. Applied problems will be developed within the mathematical framework of dimensional analysis, asymptotic analysis, perturbation theory, stability, and bifurcation.

Prerequisites:
MATH 321 and (MATH 417 or MATH 517) and (MATH 447 or MATH 547) or consent.
Areas of Interest:
Education and Training
Programs:

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.
Areas of Interest:
Education and Training
Programs:

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.
Areas of Interest:
Education and Training

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
Areas of Interest:
Education and Training
Programs:

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

Prerequisites:
Consent
Areas of Interest:
Education and Training

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.
Areas of Interest:
Education and Training

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.
Areas of Interest:
Education and Training

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.
Areas of Interest:
Education and Training
Programs:

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.
Areas of Interest:
Education and Training
Programs:

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

Prerequisites:
Consent
Areas of Interest:
Education and Training

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

Areas of Interest:
Education and Training
Programs:

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

Prerequisites:
Consent
Areas of Interest:
Education and Training

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

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

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.
Areas of Interest:
Education and Training

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

Prerequisites:
Consent
Areas of Interest:
Education and Training

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
Areas of Interest:
Education and Training
Programs:

Mechanical EngineeringCredits

This course offers an introduction to the various disciplines of engineering and their relationship to the principles of physics and mathematics. Students are prepared for academic success and the transition into an engineering program.

To prepare students for a career in engineering with emphasis on mechanical; introduce the engineering fundamentals and the skills necessary to have a successful learning experience; and to prepare students for engineering education and profession through interactions with upper-class engineering students and practitioners.

Prerequisites:
ACT Math Subscore of 23 or higher.
Areas of Interest:
Science, Technology, Engineering, Mathematics
Programs:

A continuation of ME 101 covering historical and global perspectives, engineering discipline and functions, professional aspects of engineering, ethical aspects of engineering, creativity and innovation, basics of personal computers-word processing and spreadsheets, introduction to problem solving.

Standards of graphics communication. Orthographic projections, dimensioning, tolerancing, section views. Extensive use of modern software to create engineering drawings. Introduction to solid modeling of parts and assemblies. This course includes laboratory component.

Areas of Interest:
Science, Technology, Engineering, Mathematics
Programs:

This course has two main parts. Part one covers problem solving and fundamentals of programming including data types, decision making, repetitive loops, and arrays. Engineering applications requiring programming are included. Part two covers engineering design philosophy and methodology, communication skills, and teamwork. A design project is also included. Coreq: ME 103, MATH 121

Prerequisites:
ME 101
Areas of Interest:
Science, Technology, Engineering, Mathematics
Programs:

This course is intended to provide the students with an understanding of the principles and methodologies of geometric dimensioning and tolerancing. Topics include: Datums, Material condition symbols, Tolerances of Form and profile, Tolerances of orientation and runout, locations tolerances, and Virtual condition. This course includes laboratory component. Coreq: ME 103

Prerequisites:
ME 103
Areas of Interest:
Science, Technology, Engineering, Mathematics
Programs:

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