578
Mathematics (MATH)
MATH 5593 Methods of Applied Mathematics Prerequisites: MATH 2233, MATH 4013, and knowledge of computer programming. Description: Continuous and discrete techniques in modern applied mathematics. Positive definite matrices, eigenvalues and dynamical systems, discrete and continuous equilibrium equations, least squares estimation and the Kalman filter, potential flow, calculus of variations, network flows, and combinatorics. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 5613 Algebra I Prerequisites: MATH 4613 or MATH 5003. Description: A rigorous treatment of classical results in group theory and ring theory. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 5623 Algebra II Prerequisites: MATH 5613. Description: A rigorous treatment of classical results in module theory and field theory. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 5903 Seminar and Practicum in the Teaching of College Mathematics Prerequisites: Graduate standing in mathematics or consent of instructor. Description: Foundations of college mathematics teaching, including lecturing, grading and exam preparation. Adapting classroom activities to better serve different types of learners. Current trends in mathematics education such as calculus reform, cooperative learning, and technology in the classroom. Previously offered as MATH 5902. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics MATH 5913 Introduction to Research in Mathematics Education Prerequisites: MATH 3613 or MATH 4023 or equivalent. Description: Examination and critique of research in mathematics education. A comparative study of research design, analysis, and reporting of both qualitative and quantitative research. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics
MATH 6000 Doctoral Research and Dissertation Prerequisites: Consent of advisory committee.
Description: Directed reading and research culminating in the PhD or EdD thesis. Offered for variable credit, 1-9 credit hours, maximum of 9 credit hours. Credit hours: 1-9 Contact hours: Other: 1 Levels: Graduate
Schedule types: Independent Study Department/School: Mathematics MATH 6010 Advanced Seminar in Mathematics
Prerequisites: Consent of instructor and student's advisory committee. Description: Directed reading on advanced topics in mathematics. Offered for variable credit, 1-3 credit hours, maximum of 12 credit hours. Credit hours: 1-3 Contact hours: Other: 1 Levels: Graduate Schedule types: Independent Study Department/School: Mathematics MATH 6143 Functional Analysis I Prerequisites: MATH 4613 or MATH 5003 or MATH 5023, MATH 5153, MATH 5303. Description: Theory of topological vector spaces including metrizability, consequences of completeness, Banach spaces, weak topologies, and convexity. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture
Department/School: Mathematics MATH 6213 Harmonic Analysis Prerequisites: MATH 5153, MATH 5283.
Description: Classical results giving connections among the size of a harmonic or analytic function on a complex domain, the existence and smoothness of its boundary values, and behavior of the Fourier series; selected extensions, related topics and applications. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics
MATH 6233 Advanced Partial Differential Equations Prerequisites: MATH 5233 or consent of instructor.
Description: Schwarz class, tempered distributions, basic linear functional analysis, Holder spaces, Sobolev spaces, spaces involving time, Sobolev inequalities, existence and regularity theory of second-order elliptic, parabolic, and hyperbolic equations, semigroup theory. Credit hours: 3 Contact hours: Lecture: 3 Levels: Graduate Schedule types: Lecture Department/School: Mathematics
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