Schedule of Classes
Index
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Fall '99Section seat counts current as of: Sep 22 09:30MAPL Applied Mathematics( Computer, Mathematical and Physical Sciences) MAPL460 Computational Methods; (3 credits) Grade Method: REG/P-F/AUD.Prerequisites: {a grade of C or better in MATH 240 and MATH 241}; and {CMSC 104 or CMSC 113}. Also offered as CMSC 460. Credit will be granted for only one of the following: MAPL/CMSC 460 or MAPL/CMSC 466. Basic computational methods for interpolation, least squares, approximation, numerical quadrature, numerical solution of polynomial and transcendental equations, systems of linear equations and initial value problems for ordinary differential equations. Emphasis on methods and their computational properties rather than their analytic aspects. Intended primarily for students in the physical and engineering sciences. MAPL466 Introduction to Numerical Analysis I; (3 credits) Grade Method: REG/P-F/AUD. Prerequisites: {a grade of C or better in MATH 240 and MATH 241}; and CMSC 104. Also offered as CMSC 466. Credit will be granted for only one of the following: MAPL/CMSC 460 or MAPL/CMSC 466. Floating point computations, direct methods for linear systems, interpolation, solution of nonlinear equations. MAPL498A Selected Topics in Applied Mathematics; (1-3 credits) Grade Method: REG/P-F/AUD. Individual Instruction course: contact department or instructor to obtain section number.
MAPL600
Advanced Linear Numerical Analysis;
(3 credits)
Grade Method: REG/AUD.
MAPL660 Scientific Computing I; (3 credits) Grade Method: REG. Prerequisite: MAPL 460 or MAPL 466, or knowledge of basic numerical analysis (linear equations, nonlinear equations, integration, interpolation) with permission of instructor. Also offered as CMSC 660. Credit will be granted for only one of the following: MAPL 660 or CMSC 660. Monte Carlo simulation, fast Fourier transform and applications, nonlinear systems and continuation method, optimization, sparse matrices. Fundamental techniques in scientific computation with an introduction to the theory of each topic. MAPL666 Numerical Analysis I; (3 credits) Grade Method: REG/AUD. Prerequisites: MAPL 466; and MATH 410. Also offered as CMSC 666. Iterative methods for linear systems, piecewise interpolation, eigenvalue problems, numerical integration. MAPL670 Ordinary Differential Equations I; (3 credits) Grade Method: REG/AUD. Prerequisite: MATH 405; and MATH 410 or equivalent. Also offered as MATH 670. Existence and uniqueness, linear systems usually with Floquet theory for periodic systems, linearization and stability, planar systems usually with Poincare-Bendixson theorem. Offered fall only. MAPL673 Partial Differential Equations I; (3 credits) Grade Method: REG/AUD. Prerequisite: MATH 411 or equivalent. Also offered as MATH 673. Credit will be granted for only one of the following: MAPL 673 or MATH 673. Analysis of boundary value problems for Laplace's equation, initial value problems for the heat and wave equations. Fundamental solutions, maximum principles, energy methods. First order nonlinear PDE, conservation laws. Characteristics, shock formation, weak solutions. Distributions, Fourier transform. Offered fall only. MAPL698A Advanced Topics in Applied Mathematics; (1-4 credits) Grade Method: REG/AUD. Individual Instruction course: contact department or instructor to obtain section number.
MAPL698B
Advanced Topics in Applied Mathematics:
Computational Fluid Dynamics;
(3 credits)
Grade Method: REG/AUD.
MAPL699 Applied Mathematics Seminar: Topics in Applied Mathematics; (1 credit) Grade Method: REG/AUD. MAPL799 Master's Thesis Research; (1-6 credits) Grade Method: REG. Individual Instruction course: contact department or instructor to obtain section number.
MAPL899
Doctoral Dissertation Research;
(1-8 credits)
Grade Method: REG.
Individual Instruction course: contact department or instructor to obtain section number.
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