Graduate Course Descriptions
MTH Quantitative Review
500 for Graduate
Students
MTH Mathematics
501 Seminar I
3
This course is provided to develop the student's
hrs. understanding, articulation, and usage of concepts in
mathematics.
1
Investigation and discussion of problems related to
hr. mathematics instruction and/or special topics in
mathematics.
MTH A Survey of Higher 3
Concepts of sets, logic, probability, abstract algebra,
504 Mathematics
hrs. and elementary function theory.
MTH Selected Topics in 3
A study of the principal ideas and techniques of calculus
505 Calculus and
hrs. and analytic geometry from a contemporary point of
Analytic Geometry
view.
MTH Computers and the 3
A brief overview of basic concepts in computer science;
506 Teaching of
hrs. mathematics materials for computers and computing;
Mathematics
laboratory practice in programming mathematical
curriculum materials.
MTH Abstract Algebra
3
A study of the elementary theory of groups, rings, fields,
507
hrs. vector spaces, and linear transformations. (Prerequisite:
MTH 504 or consent of instructor)
MTH Linear Algebra
3
Systems of linear equations, vector spaces, matrices,
508
hrs. linear transformations, change of basis, determinants,
characteristic roots and vectors. (Prerequisites: MTH
504, MTH 507 or consent of instructor)
MTH Computer Theory 3
Advanced concepts in computer science; mathematics
525 and Programming hrs. materials for computers and computing; laboratory
practice in programming mathematical curriculum
materials.
MTH Foundations of
3
A study of Euclidean geometry, non-Euclidean
533 Geometry
hrs. geometry, analytic geometry, finite geometry, and
similarity in Euclidean space.
MTH Analysis I
3
Functions, sequences, limits, continuity, uniform
552
hrs. continuity, derivatives, intermediate value theorem.
(Prerequisite: MTH 505 or consent of instructor)
MTH Analysis II
3
Integration, bounded variation, series, convergences,
553
hrs. elementary functions, and sequences and series of
functions. (Prerequisite: MTH 552)
MTH Topology
3
The topology of the real line; Euclidean, metric, and
620
hrs. topological spaces; connectedness; compactness; and
continuity. (Prerequisite: MTH 552 or consent of
instructor)
MTH Mathematical Logic 3
Principles of logic and the elementary structure of
651
hrs. mathematics; connectives and quantifiers, sets and
MTH Theory of Numbers 3
665
hrs.
MTH Probability and
3
673 Statistical Analysis hrs.
MTH Mathematics
681 Seminar II
1
hrs.
MTH Mathematics
682 Seminar III
1
hrs.
relations; negation; inductive and deductive reasoning.
(Prerequisite MTH 504 or consent of instructor)
Divisibility, congruencies, residues, Diophantine
analysis, sieve methods, and geometry of numbers.
(Prerequisite: MTH 507 or consent of instructor)
Algebra of sets; empirical frequency distributions;
combinatorics; mathematical expectation; discrete and
continuous probability distributions; probability densities;
hypothesis testing; estimation. (Prerequisite: MTH 504
or consent of instructor)
A study, by seminar method, of additional topics in
mathematics from the history of mathematics, algebra,
linear algebra, geometry, or analysis.
A study, using research methods, of current topics in
mathematics and/or mathematics education.