**MTH 560
Special Topics.** Topics and courses are selected to suit
individual needs of students. Methods of independent study and
research are stressed. The course may be repeated for additional
credit. Prerequisite: Consent of program coordinator. Credit 3.

**MTH 561
Theory and Applications of Probability.** Topics include
probability axioms and properties, conditional probability, random
variables, probability distributions, moment generating functions,
laws of large numbers, and the Central Limit Theorem. Also listed
as STA 561. Prerequisite: STA 472 (or equivalent) or consent of
the instructor. Credit 3.

**MTH 570
Fourier Analysis and Applications.** This course is a study
of applied harmonic analysis. Topics include Fourier analysis,
wavelet analysis, and applications of these topics. Prerequisite:
MTH 466 or MTH 588 or the consent of the instructor. Credit 3.

**MTH 583
Seminar in Geometry and Measurement for Elementary Teachers.**
This course will include a study of congruency, similarity, transformations,
coordinate geometry, and measurement. It is specifically designed
for elementary school teachers with a mathematics specialization
who wish to obtain the master’s degree in elementary education
with a minor in mathematics. Prerequisites: Elementary school
mathematics certification and MTH 383 or equivalent. Credit 3.

**MTH 584
Seminar in Mathematical Systems for Elementary Teachers.**
This course will include a study of the development of the natural
number system, the development of the integers, the development
of the rational number system, and the development of the real
number system. It is specifically designed for elementary school
teachers with a mathematics specialization who wish to obtain
the master’s degree in elementary education with a minor
in mathematics. Prerequisites: Elementary school mathematics certification
and MTH 384 or equivalent. Credit 3.

**MTH 585
Mathematics seminar for Junior High School Teachers.**
This course includes topics from arithmetic, algebra, geometry,
number theory and other mathematical areas at a level appropriate
for junior high school teachers. Prerequisite: Consent of instructor.
Credit 3.

**MTH 586
Seminar in Algebra For Teachers.** This course consists
of a survey of several abstract algebraic systems including groups,
rings, integral domains, and fields. Prerequisite: Certification
in secondary school mathematics and MTH 377 or equivalent. Credit
3.

**MTH 587
Seminar in Geometry For Teachers.** This course is a study
of topics in geometry including constructions and transformations.
Prerequisite: Certification in secondary school mathematics and
MTH 363 or equivalent. Credit 3.

**MTH 588
Seminar in Analysis For Teachers.** This course includes
topics from set theory, number systems, functions, real sequences,
limits, continuity, differentiation and integration. Prerequisite:
Certification in secondary school mathematics and MTH 143 or equivalent.
Credit 3.

**MTH 589
Seminar in Probability and Statistics For Teachers.** This
course includes topics from probability theory, distribution functions,
descriptive statistics, and inferential statistics. Prerequisite:
Certification in secondary school mathematics and MTH 379 or equivalent.
Credit 3.

**MTH 595
Digital Image Processing.** The emphasis of this course
is on the analysis of digital image processing algorithms used
for solving problems in areas such as image enhancement and restoration,
image registration, pattern recognition, and image segmentation.
Prerequisite: MTH 377 and programming experience. Credit: 3 hours

**MTH 596
Optimization. **The emphasis of this course is on modern
algorithms and computational methods needed for solving optimization
problems. Applications to current industrial problems will be
given, and the theory of operations research will be developed.
Prerequisite: MTH 377 and MTH 244, or consent of instructor. Credit:
3 hours

** MTH 597
Discrete Mathematics.** Discrete structures are emphasized
in this course, which includes a study of combinatorics, graph
theory, and number theory. The applications of these structures
in computers and communications will be highlighted. Prerequisites:
MTH 477 or MTH 586 or equivalent. Credit: 3 hours

**MTH 632
Introduction To Topology.** This course is a rigorous introduction
to point set topology. Topics include continuity, connectedness,
compactness, metrization theorems, separation theorems, and the
Tychonoff theorem. Prerequisites: MTH 364 or equivalent. Credit:
3 hours

**MTH 668
Numerical Linear Algebra.** This course is a study of vector
spaces and matrices. Topics include solving linear systems, least
square methods, eigenvalue and eigenvector theory, and applications
of these topics. Prerequisite: MTH 377 or consent of instructor.
Credit 3.

**MTH 673
Applied Analysis.** This course studies properties of normed
spaces and functions defined on normed spaces. Special emphasis
is placed on Euclidean n-space. Topics include limits, continuity,
differentiation, and integration. Prerequisite: MTH 466 or MTH
588 or consent of the instructor. Credit 3.

**MTH 677
Abstract Algebra.** Algebraic structure is emphasized in
this course, which includes a study of groups, rings, fields,
and their applications in coding theory and cryptography. Prerequisite:
MTH 477 or MTH 586 or consent of instructor. Credit 3.

**MTH 679
Functions of a Complex Variable.** Included in this course
are studies of the complex number system, analytic functions,
integration theory and the calculus of residues. Additional topics
of special interest to the class may be included. Prerequisite:
MTH 244 or consent of instructor. Credit 3.

**MTH 694
Scientific Computation.** Topics include solutions of equations,
approximation and interpolation, numerical differentiation and
integration, the fast Fourier transform, and numerical simulation.
Also listed as CS 694. Prerequisites: MTH 244 and some programming
experience, or consent of instructor. Credit 3.

**MTH 698,
699 Research and Thesis.** Credit 3.