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Courses - Spring 2018
AMSC
Applied Mathematics & Scientific Computation Department Site
AMSC420
(Perm Req)
Mathematical Modeling
Credits: 3
Grad Meth: Reg
CORE: CS
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH341, MATH461); and 1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (MATH246, MATH341); and minimum grade of C- in STAT400. And 1 course with a minimum grade of C- from (CMSC106, CMSC131); or students who have taken courses with comparable content may contact the department.
Also offered as: MATH420.
Credit only granted for: AMSC420 or MATH420.
The course will develop skills in data-driven mathematical modeling through individual and group projects. Emphasis will be placed on both analytical and computational methods, and on effective oral and written presentation of results.
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.
AMSC661
Scientific Computing II
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 equations, integration, interpolation); and permission of instructor).
Also offered as: CMSC661.
Credit only granted for: AMSC661 or CMSC661.
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
(Perm Req)
Advanced Scientific Computing II
Credits: 3
Grad Meth: Reg
Prerequisite: AMSC663.
Restriction: Permission of instructor.
Also offered as: CMSC664.
Credit only granted for: AMSC664 or CMSC664.
In the sequence AMSC 663, AMSC 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.
AMSC674
Partial Differential Equations II
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH673 or AMSC673; or permission of instructor.
Also offered as: MATH674.
Credit only granted for: AMSC674 or MATH674.
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.
Offered Spring only.
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.
AMSC715
Numerical Methods in Partial Differential Equations
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: Must have completed one graduate level course in partial differential equations OR one theoretical graduate level course in an applied mathematics field; or permission of instructor.
Credit only granted for: AMSC612 or AMSC715.
Formerly: AMSC612.
Finite difference methods for elliptic, parabolic, and hyperbolic partial differential equations. Additional topics such as spectral methods, variational methods for elliptic problems, stability theory for hyperbolic initial-boundary value problems, and solution methods for conservation laws.
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.
AMSC764
Advanced Numerical Optimization
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH410; or permission of instructor.
Also offered as: CMSC764.
Credit only granted for: AMSC607, AMSC764 or CMSC764.
Formerly: AMSC607.
Modern numerical methods for solving unconstrained and constrained nonlinear optimization problems in finite dimensions. Design of computational algorithms and the analysis of their properties.
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.