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Course Criteria
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1.00 - 3.00 Credits
Prerequisite: Consent of the department; formal application required Directed study is designed for the graduate student who desires to study selected topics in a specific field. For details, consult the paragraph titled “Directed or Independent Study” in the “School of Graduate Studies” section of this catalog. This course may be repeated for a maximum of six credits.
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3.00 Credits
Prerequisite: MATH 251 and MATH 301 or equivalent; and admission to the MAT in Mathematics program; or consent of instructor Elements of point set topology, closed sets and open sets in metric spaces, continuous mappings, connection, separation theorems, and compactness.
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3.00 Credits
Prerequisite: Admission to the MAT in Mathematics program or consent of instructor A historical development of mathematics from ancient time to the Middle Ages (c. 3500 B.C. to c. 1400 A.D.). Some of the topics covered include Egyptian, Babylonian and Mayan Numeration Systems; Greek mathematics, including the Pythagorean, Platonic and Alexandrian schools; Asian contributions and the Arabic Hegemony; and principal mathematicians of the European Middle Ages, including Alcuin, Fibonacci and Oresme. Students will be required to complete two projects that will culminate in formal presentations.
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3.00 Credits
Prerequisite: MATH 301 or equivalent; and admission to the MAT in Mathematics program Groups, subgroups, homomorphisms, normal subgroups and quotient groups, generators, normal structure and the Jordan-Holden Theorem, direct products of groups.
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3.00 Credits
Prerequisite: MATH 301 or equivalent; and admission to the MAT in Mathematics program; or consent of instructor Examples of rings, ideals and homomorphisms, the Jacobson radical, direct sums, Boolean rings and rings with chain conditions.
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3.00 Credits
Prerequisite: MATH 202 and MATH 252; and admission to the MAT in Mathematics program; or consent of instructor The course consists of a detailed discussion of limits, continuity, and applications of differential and integral calculus, and the real number system. Group and/or individual projects will be required as part of the course. This course is designed to provide graduate-level mathematics education students with an introduction to analysis, appropriate to the needs of secondary school mathematics teachers.
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0.00 Credits
No course description available.
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3.00 Credits
Prerequisite: MATH 401 and admission to the MAT in Mathematics program; or consent of instructor Analytic functions of a complex variable, differentiation and integration in the complex plane. Cauchy’s theorems, infinite series, Laurent expansions and theory of residues.
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3.00 Credits
Prerequisite: High school/middle school teacher of mathematics or science; and admission to the MAT in Mathematics program; or consent of instructor This course contains the mathematical background necessary for a variety of science applications. Topics include linear algebra, statistics, discrete mathematics, geometry, calculus and numerical analysis as well as computer software to enhance their application to problem solving in science.
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3.00 Credits
Prerequisite: Admission to the MAT in Mathematics program or consent of instructor This course is designed for teachers of mathematics, and will extend and enrich the topics of finite mathematics. Possible topics include sets, logic, probability, statistics, combinatorics and graph theory.
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