Lecture Notes for Math 4513, Fall 1998
Adobe Acrobat files
A freeware Acrobat (.pdf file) viewer can be obtained from
Adobe
Once the Acrobat plugin has been downloaded and installed, file can be view simply by clicking on the corresponding link.
Lecture 1: Variations on Taylor's Formula
Lecture 2: Sequences and Limits
Lecture 3: Computer Arithmetic
Lecture 4: Floating Point Error Analysis
Lecture 5: Solution of Nonlinear Equations
Lecture 6: Programming Syntax for Maple
Lecture 7: Newton's Method
Lecture 8: Secant Method
Lecture 9: Review of Matrix Algebra
Lecture 10: LU Factorizations
Lecture 11: Gaussian Elimination
Lecture 12: Privoting Strategies for Gaussian Elimination
Lecture 13: Review Session
Lecture 14: Solutions to First Exam
Lecture 15: Interpolating Functions
Lecture 16: Errors in Polynomial Interpolation
Lecture 17: Algorithms for Polynomial Interpolation
Lecture 18: Numerical Differentiation
Lecture 19: Numerical Integration
Lecture 20: Initial Value Problems
Lecture 21: Runge-Kutta Methods
Lecture 22: Multi-Step Methods
Lecture 23: Review Session
Lecture 24: Error Analysis for Multi-step Methods
Lecture 25: Fast Fourier Transforms