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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. AMSC614 Mathematics of the Finite Element Method; (3 credits) Grade Method: REG/AUD. Prerequisite: one semester graduate level course in partial differential equations; or permission of instructor. Credit will be granted for only one of the following: AMSC 614 or MAPL 614. Formerly MAPL614. Variational formulations of linear and nonlinear elliptic boundary value problems; formulation of the finite element method; construction of finite element subspaces; error estimates; eigenvalue problems; time dependent problems. AMSC661 Scientific Computing II; (3 credits) Grade Method: REG. Prerequisite: AMSC/CMSC/MAPL 460 or AMSC/CMSC/MAPL 466 or knowledge of basic numerical analysis (linear equations, nonlinear equations, integration, interpolation) with permission of instructor. Knowlege of C or Fortran. Also offered as CMSC 661. Credit will be granted for only one of the following: AMSC 661, CMSC 661 or MAPL 661. Formerly MAPL661. Fourier and wavelet transform methods, numerical methods for elliptic partial differential equations, numerical linear algebra for sparse matrices. Finite element methods, numerical methods for tiem dependent partia l differential equations. Techniques for scientific computation with an introduction to the theory and software for each topic. Course is part of a two course sequence (660 and 661), but can be taken independently. AMSC664 Advanced Scientific Computing II; (3 credits) Grade Method: REG. Prerequisite: AMSC 663 and permission of instructor. Also offered as CMSC 664. Credit will be granted for only one of the following: AMSC 664 or CMSC 664. 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 performance computing environment. Lectures will be given on code development and validation, parallel algorithms for partial differential equations, nonlinear systems, optimization. AMSC667 Numerical Analysis II; (3 credits) Grade Method: REG/AUD. Prerequisite: AMSC/CMSC/MAPL 666. Also offered as CMSC 667. Credit will be granted for only one of the following: AMSC 667, CMSC 667 or MAPL 667. Formerly MAPL667. Nonlinear systems of equations, ordinary differential equations, boundary value problems. AMSC671 Ordinary Differential Equations II; (3 credits) Grade Method: REG/AUD. Prerequisite: MATH630; and AMSC/MAPL/MATH670 or equivalent. Also offered as MATH671. Credit will be granted for only one of the following: AMSC671, MAPL671 or MATH671. Formerly MAPL671. The content of this course varies with the interests of the instructor and the class. Stability theory, control, time delay systems, Hamiltonian systems, bifurcation theory, and boundary value problems. Course is offered in the Spring semester only. AMSC674 Partial Differential Equations II; (3 credits) Grade Method: REG/AUD. Prerequisite: AMSC/MAPL/MATH673 or permission of instructor. Also offered as MATH674. Credit will be granted for only one of the following: AMSC674, MAPL674 or MATH674. Formerly MAPL674. Boundary value problems for elliptic partial differential equations via operator-theoretic methods. Hilbert spaces of functions. Duality, weak convergence. Sobolev spaces. Spectral theory of compact operators. Eigenfunction expansions. Course is offered in the Spring semester only. AMSC687 Minicourse Series in the Mathematical Sciences; (1 credit) Grade Method: REG/AUD. Also offered as MATH687 and STAT687. Credit will be granted for only one of the following: AMSC687, MATH687 or STAT687. This series will consist of up to sixteen 3-lecture presentations covering a broad range of topics in the mathematical sciences. Each minicourse is intended to be self-contained and accessible to first year graduate students and advanced undergraduates. The goal of each minicourse is to present an active research area or significant result and the necessary vocabulary and perspective for students to appreciate it. The goal of the Minicourse Series is to broaden a student's awareness of the mathematical sciences and to inform them of research directions. 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. AMSC689R Research Interactions in Applied Mathematics and Scientific Computation: Fast Multipole Methods: Fundamentals and Applications; (3 credits) Grade Method: REG/AUD. AMSC698A Advanced Topics in Applied Mathematics; (1-4 credits) Grade Method: REG/AUD. Individual Instruction course: contact department or instructor to obtain section number. AMSC698G Advanced Topics in Applied Mathematics: Frames and Sampling; (3 credits) Grade Method: REG/AUD. AMSC698M Advanced Topics in Applied Mathematics: Introduction to Financial Mathematics; (3 credits) Grade Method: REG/AUD. AMSC698R Advanced Topics in Applied Mathematics: Design and Analysis of Radar Signals; (3 credits) Grade Method: REG/AUD. AMSC698T Advanced Topics in Applied Mathematics: Time Dependent Nonlinear PDE's; (1-4 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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