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AMSC Applied Mathematics & Scientific Computation( Computer, Mathematical and Physical Sciences) AMSC460 (PermReq) Computational Methods; (3 credits) Grade Method: REG/P-F/AUD.Prerequisites: MATH240; and MATH241; and CMSC106 or CMSC114 or ENEE114. Also offered as CMSC460. Credit will be granted for only one of the following: AMSC/CMSC/MAPL460 or AMSC/CMSC/MAPL466. Formerly MAPL460. 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. AMSC466 (PermReq) Introduction to Numerical Analysis I; (3 credits) Grade Method: REG/P-F/AUD. Prerequisites: MATH240; and MATH241; and CMSC106 or CMSC114 or ENEE114. Also offered as CMSC466. Credit will be granted for only one of the following: AMSC/CMSC/MAPL460 or AMSC/CMSC/MAPL466. Formerly MAPL466. Floating point computations, direct methods for linear systems, interpolation, solution of nonlinear equations. AMSC498A (PermReq) 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. AMSC600 Advanced Linear Numerical Analysis; (3 credits) Grade Method: REG/AUD. Prerequisite: AMSC/CMSC/MAPL 666 or permission of instructor. Also offered as CMSC 760. Credit will be granted for only one of the following: AMSC 600, CMSC 760 or MAPL 600. Formerly MAPL600. Advanced topics in numerical linear algebra, such as dense eigenvalue problems, sparse elimination, iterative methods, and other topics. AMSC660 Scientific Computing I; (3 credits) Grade Method: REG. Prerequisite: AMSC/CMSC/MAPL 460, AMSC/CMSC/MAPL466, or knowledge of basic numerical analysis (linear equations, nonlinear integration, interpolation) with permission of instructor. Also offered as CMSC 660. Credit will be granted for only one of the following: AMSC 660, CMSC 660 or MAPL 660. Formerly MAPL660. Monte Carlo simulation, numerical linear algebra, nonlinear systems and continuation method, optimization, ordinary differential equations. Fundamental techniques in scientific computation with an introduction to the theory and software of each topic. AMSC662 Computer Organization and Programming for Scientific Computing; (3 credits) Grade Method: REG/AUD. Prerequisite: AMSC/CMSC/MAPL 460, AMSC/CMSC/MAPL 466, or knowledge of basic numerical analysis (linear equations, nonlinear equations, integration, interpolation) with permission of instructor. Knowledge of C or Fortran. Also offered as CMSC 662. Credit will be granted for only one of the following: AMSC 662 or CMSC 662. This course presents fundamental issues of computer hardware, software, parallel computing, and scientific data management for programming for scientific computation. AMSC663 Advanced Scientific Computing I; (3 credits) Grade Method: REG. Prerequisite: AMSC/CMSC/MAPL 660, AMSC/CMSC/MAPL 661, and permission of instructor. Also offered as CMSC 663. Credit will be granted for only one of the following: AMSC 663 or CMSC 663. In the sequence MAPL 663, MAPL 664 students work on a year-long individual project to develop software for a scientific task in a high perfomance computing environment. Lectures will be given on available computational environments, code development, implementation of parallel algorithms. AMSC666 Numerical Analysis I; (3 credits) Grade Method: REG/AUD. Prerequisites: AMSC/CMSC/MAPL 466; and MATH 410. Also offered as CMSC 666. Credit will be granted for only one of the following: AMSC 666, CMSC 666 or MAPL 666. Formerly MAPL666. Iterative methods for linear systems, piecewise interpolation, eigenvalue problems, numerical integration. Click here for more course information. AMSC670 Ordinary Differential Equations I; (3 credits) Grade Method: REG/AUD. Prerequisite: MATH 405; and MATH 410 or equivalent. Also offered as MATH 670. Credit will be granted for only one of the following: AMSC 670, MAPL 670 or MATH 670. Formerly MAPL670. 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. Also offered as MATH670. AMSC673 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: AMSC 673, MAPL 673 or MATH 673. Formerly MAPL673. 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. Also offered as MATH673. AMSC689 (PermReq) Research Interactions in Applied Mathematics and Scientific Computation; (1-3 credits) Grade Method: REG/AUD. Individual Instruction course: contact department or instructor to obtain section number. AMSC698 Advanced Topics in Applied Mathematics; (1-4 credits) Grade Method: REG/AUD. Individual Instruction course: contact department or instructor to obtain section number. AMSC698A Advanced Topics in Applied Mathematics; (1-4 credits) Grade Method: REG/AUD. Individual Instruction course: contact department or instructor to obtain section number. AMSC698B Advanced Topics in Applied Mathematics: Error Correcting Codes; (3 credits) Grade Method: REG/AUD. AMSC698I Advanced Topics in Applied Mathematics: Numerical Methods in Mathematical Finance; (1-4 credits) Grade Method: REG/AUD. AMSC698P Advanced Topics in Applied Mathematics: Market, Spatial and Traffic Equilibrium Models in Project Mangement; (3 credits) Grade Method: REG/AUD. AMSC799 Master's Thesis Research; (1-6 credits) Grade Method: REG/S-F. Individual Instruction course: contact department or instructor to obtain section number. AMSC898 Pre-Candidacy Research; (1-8 credits) Grade Method: REG/S-F. Individual Instruction course: contact department or instructor to obtain section number. AMSC899 (PermReq) Doctoral Dissertation Research; (6 credits) Grade Method: REG/S-F. Individual Instruction course: contact department or instructor to obtain section number.
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