| Date | Lecture | Homework Assignment | Other |
|---|---|---|---|
| 8/30/99 | Section 1.1 - Programming Suggestions, p.5 (see Notes) | Problems 2, 4. Computer Problems 4, 17. Due: 9/8/99. | Read Sections 2.1 and 2.2 before 9/1/99. |
| 9/1/99 | Section 2.2 - Floating-Point Representation, p.54 | Read Section 1.2 before 9/8/99. | |
| Section 2.3 - Loss of Significance, p.74 | Problems 1, 9, 10, 11, 29. Due: 9/8/99. | ||
| 9/8/99 | Section 3.1 - Bisection Method, p.92 (see Notes) | Problem 8. Computer Problems 1, 4. Due: 9/15/99. | |
| 9/13/99 | Section 3.2 - Newton's Method, p.102 (see a Mathcad illustration) | Problems 1, 2, 20, 24.
Computer Problems 1, 15. Due: 9/22/99. | |
| 9/15/99 | Section 3.3 - Secant Method, p. 123 (see a Mathcad illustration) | Problem 2. Computer Problems 1, 7, 9. Due: 9/22/99. | |
| 9/20/99 | Section 4.1 - Polynomial Interpolation, p. 136 (see Mathcad illustrations of interpolation and inverse interpolation) | Problems 3, 7, 19, 20, 25, 26, 28, 29. Due: 9/29/99. | |
| 9/22/99 | Section 4.2 - Errors in Polynomial Interpolation, p. 162 (see a Mathcad illustration) | Problems 2, 3, 4, 5. Computer Problem 9. Due: 9/29/99. | Computer Project assigned
Due: 10/25/99. |
| 9/27/99 | Section 4.3 - Estimating Derivatives and Richardson Extrapolation, p. 171 | Problems 1, 3, 12, 18. Due: 10/6/99. | |
| 9/29/99 | Section 5.2 - Trapezoid Rule, p. 195 | Problems 2, 3 Due: 10/6/99. | Read Section 5.1. |
| 10/4/99 | Section 5.3 - Romberg Algorithm, p. 210 | See class notes
Due: 10/13/99. | |
| 10/6/99 | Section 5.4 - An Adaptive Simpson's Scheme, p. 221 (see a simple Mathcad implentation and a more complex one, as well as an illustration.) | Problem 3. Computer Problem 2 Due: 10/13/99. | |
| 10/11/99 | Section 5.5 - Gaussian Quadrature Formulas, p. 229 (see Mathcad documents on Legendre polynomials and Gaussian quadrature vs. Newton-Cotes quadrature.) | Computer Problems 4, 5. Due: 10/20/99. | |
| 10/13/99 | Section 6.1 - Naive Gaussian Elimination, p. 241 (see a Mathcad implementation.) | Problems 5, 7.
Computer Problem 1. Due: 10/20/99. | |
| 10/18/99 | Matrix Norms and Condition Numbers (handout) | Prove formula (2.2-12) on p. 15 of the handout
Due: 10/27/99. | |
| 10/20/99 | Section 6.2 - Gaussian Elimination with Scaled Pivoting, p.254 (see a Mathcad document.) | ||
| 10/25/99 | Section 6.3 - Tridiagonal and Banded Systems, p. 274 | ||
| 10/27/99 | Section 6.4 - LU Factorization, p. 283 | ||
| 11/1/99 | Section 6.4 cont'd: Multiple Right-Hand Sides, Computing A-1, Review of Eigenvalues and Eigenvectors | ||
| 11/3/99 | Test 1 (Chapters 1-5) | ||
| 11/8/99 | Section 6.4 cont'd: Singular Value Decomposition
Section 6.5 - Iterative Solutions of Linear Equations, p. 304 | ||
| 11/10/99 | Section 6.5 cont'd
See the Mathcad document with the numerical experiments carried out during the lecture | Computer Problems 2, 3, 4 Due: 11/17/99 | |