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Course Criteria
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3.00 Credits
3 hours. Applied statistics, methods of estimation and tests of hypotheses, categorical data, introduction to analysis of variance, correlation, regression, and experimental design. Prerequisites. MATH 143 Elementary Statistics or MATH 543 Probability and Statistics. Offered concurrently with MATH 646 Statistical Methods I. May be taken for honors. Fall, odd numbered years.
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3.00 Credits
3 hours. Autocorrelation, moving averages, smoothing methods, multiple regression, regression of time series data, and ARIMA methodology. Prerequisite: MATH 543 Probability and Statistics. Fall, even numbered years.
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3.00 Credits
3 hours. Fourier series, Legendre polynomials, Bessel functions. Separation of variables. Heat, wave and potential equations. Finite difference methods. Ritz and Galerkin methods. Finite element method. Prerequisite: MATH 553 Differential Equations. May be taken for honors.
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3.00 Credits
3 hours. A theoretical treatment of the calculus of several variables. Implicit function theorem and inverse function theorem. Prerequisite: MATH 557 Analysis I. May be taken for honors.
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3.00 Credits
3 hours. n-space. Subspaces and bases. Eigenvalues. Diagonalizing a matrix. Chain rule. Taylor's formula. Optimization. LaGrange multipliers. Gradient, curl and divergence. Green's, Stoke's, and Gauss' theorems. Curvilinear coordinates. Prerequisites: MATH 253 Calculus III and either MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 558 Vector Calculus. May be taken for honors.
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3.00 Credits
3 hours. Numerical linear algebra: Gaussian elimination, orthogonal transformations, least squares, algebraic eigenvalue problem, iterative methods, numerical solution of partial differential equations. Prerequisites: MATH 212 Matrix Algebra or MATH 617 Linear Algebra. May be taken for honors. Spring.
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6.00 Credits
1-3 hours. Directed class or seminar study. May be repeated if topics are different. A maximum of six hours can be applied toward a degree. Prerequisite: Permission of instructor.
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0.50 - 6.00 Credits
0.5-6 hours. Analysis and synthesis of expository mathematics. Role of key mathematical concepts, teaching techniques, and/or learning devices in modern mathematics. May be repeated for a maximum of 6 hours.
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3.00 Credits
3 hours. Theory of rings and modules; polynomial rings, homomorphisms, quotient rings, ideals, rings of fractions, integral domains, and modules. Prerequisite: MATH 613 Abstract Algebra. Fall.
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3.00 Credits
3 hours. Development of non-euclidean geometries and advanced euclidean topics.
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