580
Mathematics (MATH)
MATH 6690 Topics in Algebra Prerequisites: Consent of instructor. Description: Advanced topics in algebra. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Mathematics MATH 6713 Analytic Number Theory Prerequisites: MATH 4283 or MATH 5283. Description: Arithmetic functions, Zeta and L functions, distribution of primes and introduction to modular forms. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6723 Algebraic Number Theory Prerequisites: MATH 5013 or MATH 5623. Description: Number fields, ideal theory, units, decomposition of primes, quadratic and cyclotomic fields, introduction to local fields. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6790 Topics in Number Theory Prerequisites: Consent of instructor. Description: Advanced topics in number theory. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Mathematics MATH 6813 Lie Groups and Representations Prerequisites: MATH 4153 or MATH 5053, MATH 4613 or MATH 5003, MATH 5303. Description: Differentiable manifolds, vector fields, Lie groups, exponential map, homogeneous spaces, representations of compact Lie groups, and maximal tori. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6823 Lie Algebras Prerequisites: MATH 5013 and MATH 5023. Description: Matrix groups, Lie algebras, root systems, structure of semisimple Lie algebras, universal enveloping algebra, and representations of lie algebras. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics
MATH 6890 Topics in Representation Theory Prerequisites: Consent of instructor. Description: Advanced topics in representation theory. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Mathematics MATH 6923 Research in Undergraduate Mathematics Education Prerequisites: MATH 5913. Description: Continuation of MATH 5913 with an emphasis on design of research in undergraduate mathematics education. Development of research questions, review of the literature, data collection and analysis, development and evaluation of research proposals, reporting research results. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 6990 Topics in Collegiate Mathematics Education Prerequisites: Consent of instructor. Description: Advanced topics in collegiate mathematics education. Offered for variable credit, 1-3 credit hours, maximum of 9 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate
Schedule types: Independent Study Department/School: Mathematics
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