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- 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