School of Arts & Sciences - Mathematics - Graduate Course Descriptions

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MTH 500 Quantitative Review for Graduate Students 3 hrs. This course is provided to develop the student's understanding, articulation, and usage of concepts in mathematics.

MTH 501 Mathematics Seminar I 1 hr. Investigation and discussion of problems related to mathematics instruction and/or special topics in mathematics.

MTH 504 A Survey of Higher Mathematics 3 hrs. Concepts of sets, logic, probability, abstract algebra, and elementary function theory.

MTH 505 Selected Topics in Calculus and Analytic Geometry 3 hrs. A study of the principal ideas and techniques of calculus and analytic geometry from a contemporary point of view.

MTH 506 Computers and the Teaching of Mathematics 3 hrs. A brief overview of basic concepts in computer science; mathematics materials for computers and computing; laboratory practice in programming mathematical curriculum materials.

MTH 507 Abstract Algebra 3 hrs. A study of the elementary theory of groups, rings, fields, vector spaces, and linear transformations. (Prerequisite: MTH 504 or consent of instructor)

MTH 508 Linear Algebra 3 hrs. Systems of linear equations, vector spaces, matrices, linear transformations, change of basis, determinants, characteristic roots and vectors. (Prerequisites: MTH 504, MTH 507 or consent of instructor)

MTH 525 Computer Theory and Programming 3 hrs. Advanced concepts in computer science; mathematics materials for computers and computing; laboratory practice in programming mathematical curriculum materials.

MTH 533 Foundations of Geometry 3 hrs. A study of Euclidean geometry, non-Euclidean geometry, analytic geometry, finite geometry, and similarity in Euclidean space.

MTH 552 Analysis I 3 hrs. Functions, sequences, limits, continuity, uniform continuity, derivatives, intermediate value theorem. (Prerequisite: MTH 505 or consent of instructor)

MTH 553 Analysis II 3 hrs. Integration, bounded variation, series, convergences, elementary functions, and sequences and series of functions. (Prerequisite: MTH 552)

MTH 620 Topology 3 hrs. The topology of the real line; Euclidean, metric, and topological spaces; connectedness; compactness; and continuity. (Prerequisite: MTH 552 or consent of instructor)

MTH 651 Mathematical Logic 3 hrs. Principles of logic and the elementary structure of mathematics; connectives and quantifiers, sets and relations; negation; inductive and deductive reasoning. (Prerequisite MTH 504 or consent of instructor)

MTH 665 Theory of Numbers 3 hrs. Divisibility, congruencies, residues, Diophantine analysis, sieve methods, and geometry of numbers. (Prerequisite: MTH 507 or consent of instructor)

MTH 673 Probability and Statistical Analysis 3 hrs. 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)

MTH 681 Mathematics Seminar II 1 hrs. A study, by seminar method, of additional topics in mathematics from the history of mathematics, algebra, linear algebra, geometry, or analysis.

MTH 682 Mathematics Seminar III 1 hrs. A study, using research methods, of current topics in mathematics and/or mathematics education.

Page last changed: October 09 2008 13:04:21
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MTH 500	Quantitative Review for Graduate Students	3 hrs.	This course is provided to develop the student's understanding, articulation, and usage of concepts in mathematics.
MTH 501	Mathematics Seminar I	1 hr.	Investigation and discussion of problems related to mathematics instruction and/or special topics in mathematics.
MTH 504	A Survey of Higher Mathematics	3 hrs.	Concepts of sets, logic, probability, abstract algebra, and elementary function theory.
MTH 505	Selected Topics in Calculus and Analytic Geometry	3 hrs.	A study of the principal ideas and techniques of calculus and analytic geometry from a contemporary point of view.
MTH 506	Computers and the Teaching of Mathematics	3 hrs.	A brief overview of basic concepts in computer science; mathematics materials for computers and computing; laboratory practice in programming mathematical curriculum materials.
MTH 507	Abstract Algebra	3 hrs.	A study of the elementary theory of groups, rings, fields, vector spaces, and linear transformations. (Prerequisite: MTH 504 or consent of instructor)
MTH 508	Linear Algebra	3 hrs.	Systems of linear equations, vector spaces, matrices, linear transformations, change of basis, determinants, characteristic roots and vectors. (Prerequisites: MTH 504, MTH 507 or consent of instructor)
MTH 525	Computer Theory and Programming	3 hrs.	Advanced concepts in computer science; mathematics materials for computers and computing; laboratory practice in programming mathematical curriculum materials.
MTH 533	Foundations of Geometry	3 hrs.	A study of Euclidean geometry, non-Euclidean geometry, analytic geometry, finite geometry, and similarity in Euclidean space.
MTH 552	Analysis I	3 hrs.	Functions, sequences, limits, continuity, uniform continuity, derivatives, intermediate value theorem. (Prerequisite: MTH 505 or consent of instructor)
MTH 553	Analysis II	3 hrs.	Integration, bounded variation, series, convergences, elementary functions, and sequences and series of functions. (Prerequisite: MTH 552)
MTH 620	Topology	3 hrs.	The topology of the real line; Euclidean, metric, and topological spaces; connectedness; compactness; and continuity. (Prerequisite: MTH 552 or consent of instructor)
MTH 651	Mathematical Logic	3 hrs.	Principles of logic and the elementary structure of mathematics; connectives and quantifiers, sets and relations; negation; inductive and deductive reasoning. (Prerequisite MTH 504 or consent of instructor)
MTH 665	Theory of Numbers	3 hrs.	Divisibility, congruencies, residues, Diophantine analysis, sieve methods, and geometry of numbers. (Prerequisite: MTH 507 or consent of instructor)
MTH 673	Probability and Statistical Analysis	3 hrs.	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)
MTH 681	Mathematics Seminar II	1 hrs.	A study, by seminar method, of additional topics in mathematics from the history of mathematics, algebra, linear algebra, geometry, or analysis.
MTH 682	Mathematics Seminar III	1 hrs.	A study, using research methods, of current topics in mathematics and/or mathematics education.