AMSC/CMSC 466 (Introduction to Numerical Analysis I)
| DESCRIPTION |
Floating point computations, direct methods for linear
systems, interpolation,
solution of nonlinear equations, numerical differentiation and
integration. |
| PREREQUISITES |
Math 240 and 241, CMSC 105 or CMSC 106 or CMSC 114 or
ENEE 114 |
| 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
|
| TEXT |
Text(s)
typically used in this course. |
|
