This is a list of all courses offered by the Math Department.  Not all courses are offered each year.  What is provided is a general description of the courses and the prerequisites.  The actual content may vary.

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Description

Floating point computations, direct methods for linear systems, interpolation, solution of nonlinear equations, numerical differentiation and integration.

Prerequisites

(MATH 240 and MATH 241) or (MATH 340 and MATH 341); and (CMSC 106 or CMSC131)

Note: Also listed as CMSC 466.

Topics

Floating point computation (1 week)

Properties of machine arithmetic

Direct methods for linear systems (4 weeks)

Gaussian elimination
Pivoting strategies
Cholesky factorization
Vector and matrix norms
Conditioning and the effect of rounding error

Interpolation (2 weeks)

Polynomial approximation
Newton and Lagrange forms
Error formula (derived)

Solution of nonlinear equations (3 weeks)

Bisection, Secant, and Newton's method
Fixed point methods
Newton's method for systems

Numerical differentiation and integration (3 weeks)

Numerical differentiation
Numerical integration