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Course Criteria
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3.00 Credits
ADVANCED ORDINARY DIFFERENTIAL EQUATIONS (3) Boundary value problems, linear differential equations with periodic coefficients, nonlinear differential equations, perturbaiton theory, Poincare's method. Prerequisite: MATH 2550/271 and 4410/358 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
PARTIAL DIFFERENTIAL EQUATIONS (3) Classical solutions of first and second order partial differential equations, Bessel and Legendre functions, orthogonal functions, solutions of boundary value problems by the separation of variables and integral transformations, Laplace's equation, wave equation. Prerequisite: MATH 2550/271 and 4400/358 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
ADVANCED NUMERICAL METHODS (3) Difference equations, iteration, Aitken's delta square method, Steffenson's method, Bairstow's method, Bernoulli's method, and the quotient-difference algorithm. Additional topics may include Mesh-free methods, finite element methods, spectral methods, Galerkin type methods, and fast Fourier transform methods. Prerequisites: MATH 2550/271, 4410/358 or 4510/354. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
INTERPOLATION AND APPROXIMATION (3) Interpolation via polynomials, orthogonal families of polynomials, spline interpolation, least squares methods, and Fourier methods. Additional topics may include radial basis function methods, and convolution kernel based methods. Prerequisites: MATH 5550/441. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
MATHEMATICAL STATISTICS I (3) Random variables, conditional probability, multidimensional distributions, functions of random variables, central limit theorem, limiting distributions. Prerequisite: MATH 4600/315 or equivalent. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
MATHEMATICAL STATISTICS II (3) Test of hypothesis, point estimation, confidence intervals, sufficient statistics, Rao Blackwell theorem, multivariate analysis. Prerequisite: MATH 5610/471. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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12.00 Credits
MATHEMATICS CURRICULUM IN GRADES 7-12 (3) The history of curriculum, content, and trends in mathematics of grades 7-12; study and analysis of major reports, recommendations, and theories in mathematics curricula and teaching and learning; issues and trends in assessment practices; study and analysis of reform movements and their effect in curricular designs, practices, and beliefs of mathematics and mathematics teaching and learning. Prerequisites: Consent of the Graduate Adviser. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
RESEARCH AND PRACTICES IN MATHEMATICS EDUCATION (3) Survey and analysis of research in the field of mathematics education; issues, research, and practices in teaching and learning of mathematics; critiques and conduct of research in the teaching and learning of mathematics. Prerequisites: Consent of the Graduate Adviser. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
MATHEMATICAL MODELS AND APPLICATIONS (3) Modern application of mathematics in such fields as economics, industrial management, psychology, political science, biology, ecology, and geography for high school classroom utilization. Prerequisite: High school mathematics teaching experience and consent of the department. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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3.00 Credits
GRADUATE SEMINAR (3) Conducted by graduate faculty of department. The course may be repeated under a different topic with the permission of the department. Prerequisite: Twenty-one graduate level credit hours in mathematics and consent of the department. 3.000 Credit Hours 3.000 Lecture hours Levels: Graduate Schedule Types: Lecture College of Arts and Sciences College Mathematics & Computer Science Department
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