MTH 532 FOUNDATIONS AND INTRODUCTION TO TOPOLOGY. Topics include propositional calculus, algebra of sets, infinite operations, cardinal and ordinal arithmetic, and an introduction to general topology. Prerequisite: MTH 364 or consent of instructor.

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.

*MTH 561 THEORY AND APPLICATION 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. Prerequisite: MTH 375 or equivalent.

MTH 568 LINEAR ALGEBRA. This course is a study of abstract vector spaces, including such topics as linear mappings, quotient and conjugate spaces, eigen vectors and eigen values, and the relation of these topics to matrix theory. Prerequisite: MTH 377 or consent of instructor.

MTH 570 Applied Mathematics II. A continuation of MTH 569, topics covered include Bessel functions, Legendre polynomials, Fourier transforms and other topics determined by the special interests of the class. Prerequisite: MTH 569.

MTH 573 THEORY OF FUNCTIONS. This course includes properties of metric spaces and functions defined on metric spaces. Special emphasis is placed on Euclidean n-space. Topics include point set theory, limits, continuity and differentiation. Prerequisite: MTH 466 or consent of instructor.

MTH 577 ABSTRACT ALGEBRA. Algebraic structure is emphasized in this course which includes a study of groups, rings, integral domains, fields, and homomorphisms of these structures. Prerequisite: MTH 477 or consent of instructor.

MTH 579 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 375 or consent of instructor.

NOTE: The courses MTH 583, 584, 585, 586, 587, 588, and 589 are designed for programs for teachers of school mathematics.

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 mathematics degrees who wish to obtain the master's degree in elementary education with a minor in mathematics. Prerequisites: Elementary mathematics certification and MTH 383 or equivalent.

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 mathematics degrees who wish to obtain the master's degree in elementary education with a minor in mathematics. Prerequisites: Elementary mathematics certification and MTH 384 or equivalent.

MTH 585 MATHEMATICS SEMINAR FOR JUNIOR HIGH SCHOOL TEACHERS. This course includes topics from arithmetic, algebra, and geometry at a level appropriate for junior high school teachers. Prerequisite: Consent of instructor.

MTH 586 SEMINAR IN ALGEBRA FOR TEACHERS. This course is intended for high school algebra teachers who have not studied modern algebra. It consists of a survey of several abstract algebraic systems including groups, rings, integral domains, and fields. Prerequisite: Certification in secondary mathematics or consent of instructor.

MTH 587 SEMINAR IN GEOMETRY FOR TEACHERS. This course is a study of topics in transformation geometry including reflections, rotations, translations, size transformations and inversions. Prerequisite: Certification in secondary mathematics or consent of instructor.

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 mathematics or consent of instructor.

MTH 589 SEMINAR IN PROBABILITY AND STATISTICS FOR TEACHERS. This course is intended for junior and senior high school mathematics teachers. Topics include probability theory, distribution functions, descriptive statistics, and inferential statistics. Prerequisite: Certification in secondary mathematics or consent of instructor.

MTH 594 NUMERICAL ANALYSIS. Topics include solutions of equations; polynomial approximations and interpolation; integrals; and curve fitting using least square methods, Chebychev polynomials, and splines. Also listed as CS 594. Prerequisites: MTH/CS 394 and MTH 375 or consent of instructor.

MTH 698 RESEARCH AND THESIS.

MTH 699 RESEARCH AND THESIS