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Courses - Fall 2018
AMSC
Applied Mathematics & Scientific Computation Department Site
AMSC460
(Perm Req)
Computational Methods
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241); and 1 course with a minimum grade of C- from (CMSC106, CMSC131).
Also offered as: CMSC460.
Credit only granted for: AMSC460, CMSC460, AMSC466, or CMSC466.
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
(Perm Req)
Introduction to Numerical Analysis I
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241); and 1 course with a minimum grade of C- from (CMSC106, CMSC131).
Also offered as: CMSC466.
Credit only granted for: AMSC460, CMSC460, AMSC466, or CMSC466.
Floating point computations, direct methods for linear systems, interpolation, solution of nonlinear equations.
AMSC498A
(Perm Req)
Selected Topics in Applied Mathematics
Credits: 1 - 3
Grad Meth: Reg, P-F, Aud
Contact department for information to register for this course.
AMSC660
(Perm Req)
Scientific Computing I
Credits: 3
Grad Meth: Reg
Prerequisite: Must have knowledge of C or Fortran. And AMSC460 or CMSC460; or (CMSC466 or AMSC466); or (must have knowledge of basic numerical analysis (linear equations, nonlinear integration, interpolation); and permission of instructor).
Also offered as: CMSC660.
Credit only granted for: AMSC660 or CMSC660.
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.
AMSC663
(Perm Req)
Advanced Scientific Computing I
Credits: 3
Grad Meth: Reg
Prerequisite: CMSC660 or AMSC660; and (CMSC661 or AMSC661).
Restriction: Permission of instructor.
Also offered as: CMSC663.
Credit only granted for: AMSC663 or CMSC663.
In the sequence AMSC663, AMSC664 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 available computational environments, code development, implementation of parallel algorithms.
AMSC666
Numerical Analysis I
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: CMSC466 or AMSC466; and MATH410.
Also offered as: CMSC666.
Credit only granted for: AMSC666 or CMSC666.
Approximation theory, numerical solution of initial-value problems, iterative methods for linear systems, optimization.
AMSC673
Partial Differential Equations I
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH411; or students who have taken courses with comparable content may contact the department.
Also offered as: MATH673.
Credit only granted for: AMSC673 or MATH673.
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
(Perm Req)
Research Interactions in Applied Mathematics and Scientific Computation
Credits: 1 - 3
Grad Meth: Reg, Aud
Contact department for information to register for this course.
AMSC714
Numerical Methods For Stationary PDEs
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: One graduate level course in partial differential equations or one graduate level course in numerical analysis or scientific computing; or permission of instructor.
Credit only granted for: AMSC 714 or AMSC 614.
Formerly: AMSC614.
Additional information: This course is a complement to the graduate courses MATH 673 and MATH 674 in PDEs, AMSC 666 in numerical analysis, and AMSC 660 and AMSC 661 in scientific computing.
Topics include: Maximum principle, finite difference method, upwinding, error analysis; Variational formulation of elliptic problems, inf-sup theory; The finite element method and its implementation; Piecewise polynomial interpolation theory in Sobolev spaces; A priori and a posteriori error analyses, adaptivity; Fast solvers; Variational crimes; Mixed finite element methods.
AMSC799
Master's Thesis Research
Credits: 1 - 6
Grad Meth: Reg, S-F
Contact department for information to register for this course.
AMSC808A
Advanced Topics in Applied Mathematics
Credits: 1 - 3
Grad Meth: Reg, Aud
Contact department for information to register for this course.
AMSC898
Pre-Candidacy Research
Credits: 1 - 8
Grad Meth: Reg, S-F
Contact department for information to register for this course.
AMSC899
(Perm Req)
Doctoral Dissertation Research
Credits: 6
Grad Meth: Reg, S-F
Contact department for information to register for this course.