Undergraduate courses in numerical analysis
- 451. (CSE) NUMERICAL COMPUTATIONS (3) Algorithms for interpolation,
numerical integration, numerical solution of nonlinear equations,
linear systems and ordinary differential equations emphasizing
computational properties and implementation. Students may take
only one course for credit from MATH 451 and 455. Prerequisites:
CMPSC 201C, 201F, or CSE 103; MATH 230 or 231.
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- 455. (CSE) INTRODUCTION TO NUMERICAL ANALYSIS I (3) Floating point
computation, numerical rootfinding, interpolation, numerical
quadrature, direct methods for linear systems. Students may take
only one course for credit from MATH 451 and 455. Prerequisites:
CMPSC 201C, 201F, or CSE 103; MATH 220; MATH 230 or 231.
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- 456. (CSE) INTRODUCTION TO NUMERICAL ANALYSIS II (3) Polynomial and
piecewise polynomial approximation, matrix least squares
problems, numerical solution of eigenvalue problems, numerical
solution of ordinary differential equations. Prerequisite: MATH
455.
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Graduate courses in numerical analysis
- 523. NUMERICAL ANALYSIS I. Approximation and Interpolation; Numerical
Quadrature; Direct Methods of Numerical Linear Algebra; Numerical
solution of nonlinear systems and optimization
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- 524. NUMERICAL ANALYSIS II. Numerical Solution of Ordinary
Differential Equations; Numerical Solution of Partial Differential
Equations; Some Iterative Methods of Numerical Linear Algebra
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- 552. (CSE 552) Numerical Solution of Partial Differential Equations
(3) Finite difference methods for elliptic, parabolic, and hyperbolic
differential equations. Solutions techniques for discretized
systems. Finite element methods for elliptic problems. Prerequisite:
MATH 402 or 404; MATH (CSE) 451 or 456.
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- 556. (CSE 556) Finite Element Methods (3) Sobolev spaces, variational
formulations of boundary value problems; piecewise polynomial
approximation theory, convergence and stability, special methods and
applications. Prerequisite: Math 412, MATH 501 and 502, or consent from
instructor.
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