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Courses - Fall 2017
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.
AMSC662
Computer Organization and Programming for Scientific Computing
Credits: 3
Grad Meth: Reg, Aud
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 equations, integration, interpolation); and permission of instructor).
Also offered as: CMSC662.
Credit only granted for: AMSC662 or CMSC662.
This course presents fundamental issues of computer hardware, software, parallel computing, and scientific data management for programming for scientific computation.
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.
AMSC670
Ordinary Differential Equations I
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH405. And MATH410; or students who have taken courses with comparable content may contact the department.
Also offered as: MATH670.
Credit only granted for: AMSC670 or MATH670.
Existence and uniqueness, linear systems usually with Floquet theory for periodic systems, linearization and stability, planar systems usually with Poincare-Bendixson theorem.
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
Mathematics of the Finite Element Method
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: Must have completed one semester graduate level course in partial differential equations; or permission of instructor.
Credit only granted for: AMSC 714 or AMSC 614.
Formerly: AMSC614.
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.
AMSC760
(Perm Req)
Applied Statistics Practicum
Credits: 3
Grad Meth: Reg
Prerequisite: Must have completed one year of graduate study in Applied Statistics.
Restriction: Must have project proposal approved by SAC coordinator.
A semester long applied applied statistical project (a minimum 10 hours per week or 120 hours in total), in an internship of collaborative research-laboratory setting working on a substantive applied quantitative project with significant statistical content.
AMSC762
(Perm Req)
Data Analysis Project
Credits: 1
Grad Meth: Reg
This course cannot be used to meet any of the Applied Statistics Area's seminar requirements. Offered yearly, required of and limited to MS non-thesis and doctoral students in Applied Statistics Area, for whom the resulting projects serve as a Qualifying Exam component. After 5-6 lectures or presentations on components of successful data analyses and write-ups, 3-4 sessions will discuss previous student project submissions. The culminating project, to be completed in a two week period between semesters, is an analysis and written report of one of three project choices made available each year to represent a spectrum of realistic applied statistical problems.
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.