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Courses - Spring 2024
AMSC
Applied Mathematics & Scientific Computation Department Site
Open Seats as of
05/29/2024 at 10:30 PM
AMSC420
Mathematical Modeling
Credits: 3
Grad Meth: Reg, P-F
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); 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 1 course with a minimum grade of C- from (STAT400, STAT410); and 1 course with a minimum grade C- from (CMSC106, CMSC131).
Cross-listed with: 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
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 (CMSC106, CMSC131); and minimum grade of C- in MATH246.
Cross-listed with: CMSC460.
Credit only granted for: AMSC460, AMSC466, CMSC460, 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
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 (CMSC106, CMSC131); and minimum grade of C- in MATH410.
Cross-listed with: 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 Matlab or Python. Must have basic knowledge of ordinary and partial differential equations (MATH246 and MATH462 or equivalent, or permission of instructor).
Cross-listed with: CMSC661.
Credit only granted for: AMSC661 or CMSC661.
Numerical methods for solving ordinary and partial differential equations (elliptic, parabolic, hyperbolic, and dispersive): motivation, analysis, and implementation. Finite difference methods, finite element methods, Fourier and Chebyshev spectral methods, and meshless methods.
AMSC663
Advanced Scientific Computing I
Credits: 3
Grad Meth: Reg, S-F
Prerequisite: AMSC660 or CMSC660; and (AMSC661 or CMSC661).
Restriction: Permission of instructor.
Cross-listed with: CMSC663.
Credit only granted for: AMSC663 or CMSC663.
In the sequence Advanced Scientific Computing I & Advanced Scientific Computing II, (CMSC663/CMSC663 and AMSC664/CMSC664, respectively) 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.
AMSC674
Partial Differential Equations II
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH673 or AMSC673; or permission of instructor.
Cross-listed with: 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.
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
Restriction: Permission of CMNS-Applied Mathematics department; and permission of instructor.
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.
AMSC764
Advanced Numerical Optimization
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH410; or permission of instructor.
Cross-listed with C MSC764.
Credit only granted for: AMSC607, AMSC764 or CMSC764. F ormerly: 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: 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.
AMSC808X
Advanced Topics in Applied Mathematics; Machine Learning for Scientific Computing
Credits: 1 - 3
Grad Meth: Reg, Aud, S-F
AMSC898
Pre-Candidacy Research
Credits: 1 - 8
Grad Meth: S-F
Contact department for information to register for this course.
AMSC899
(Perm Req)
Doctoral Dissertation Research
Credits: 6
Grad Meth: S-F
Contact department for information to register for this course.