Numerical Analysis
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Required teaching materials:
Textbook: Numerical Mathematics and Computing, Fourth Edition
Author: Ward Cheney and David Kincaid
ISBN: 0-534-35184-0
Published by Brooks/Cole
Exam 2: Carry out and turn in the following problems from the text: page 182,
problem 11 and p 237, problem 6, 12, 14.
Review material on series
This course will cover the fundamentals of numerical analysis, including:
- Error analysis (roundoff error)
- Numerical methods:
- Series expansions (convergence analysis)
- Newton's method
- Interpolation
- Richardson Extrapolation
- Definite integrals
- Trapezoid rule
- Romberg's algorithm
- Adaptive Simpson's algorithm
- Linear equations
- Naive Gaussian elimination
- Gaussian elimination with scaled partial pivoting
- tridiagonal and banded systems
- LU factorization
- Approximation by spline functions
- Ordinary Differential equations.
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