2021-2022 Course List

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.

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.

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.

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.

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Prerequisites:

MATH 290 with “C” (2.0) or better or consent.

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.

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 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.

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.

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

Prerequisites:

MATH 417 or MATH 517 or consent.

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.

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.

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.

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.