| Day | Date | Activity | Assignment (due next class) |
| Mon | 8/24 | Welcome | Read Section 1.1, Review of Calculus
Each of you will handle one definition/theorem for Wednesday:
Homework: pp 14--: 1b,c; 2a,b; 3b; 4b,d; 5; 6; 9; 11; 12; 19; 20; 24; 26 (due 9/4) |
| Wed | 8/26 | Section 1.1 | Continue working on your first set of homework problems. |
| Fri | 8/28 | ||
| Mon | 8/31 | Section 1.2: Round-off Errors and Computer Arithmetic | Exercises 1a,c; 2a,c; 3c; 4a,c; 6c,g; 8c,g; 10; 12; 15b,d; 17; 21; 22; 26 (due 9/11) |
| Wed | 9/2 | ||
| Fri | 9/4 | Section 1.3: Algorithms and Convergence | Exercises 2ab; 3; 4; 6a,d; 7a; 8; 10 (implement in code -- with examples -- for extra credit); 16 (due 9/18) |
| Mon | 9/7 | Labor Day | |
| Wed | 9/9 | Read 2.1 for Friday, and prepare for a little quiz. | |
| Fri | 9/11 | Section 2.1: The Bisection Method | pp. 51--, 1; 3a; 9b; 10b,c; 13; 14; 16; 19 (due 9/25) |
| Mon | 9/14 | Section 2.2: Fixed-Point Iteration | pp. 61--, #4, 5, 8, 9, 12c, 17, 18, 20 (due 9/25) |
| Wed | 9/16 | ||
| Fri | 9/18 | Section 2.3: Newton's Method | pp 71--, #2; 4; 5b,c; 7b,c; 17; 19; 24; 33 (due Monday, 9/28) |
| Mon | 9/21 | ||
| Wed | 9/23 | Section 2.4: Error Analysis for Iterative Methods | pp. 82--, #1a,b;3a,b;6;10;11 |
| Fri | 9/25 | More Error Analysis | |
| Mon | 9/28 | Section 2.6: Zeros of Polynomials and Muller's Method | pp. 96--, #1, 3, 5, 7 (and compare), 10 (due 10/9) |
| Wed | 9/30 | Review and more Muller | |
| Fri | 10/2 | Exam 1 | |
| Mon | 10/5 | Exam pointers; A bit more Muller | |
| Wed | 10/7 | Section 3.1: Interpolation and the Lagrange Polynomial | Exercises: pp. 115--, 1a,b,c; 2d; 3a,b,c; 4d; 5a; 6a; 7a; 8a; 9a; 10a; 21; 28 (due Friday, 10/16) |
| Fri | 10/9 | ||
| Mon | 10/12 | Neville's Method | |
| Wed | 10/14 | Section 3.2: Divided Differences | pp. 127-, 1a, 2a (typo -- "Use Eq. (3.10) or ...."), 3a, 7, 10, 13, 17 (due Friday, 10/30) |
| Fri | 10/16 | Section 3.3: Hermite Interpolation | Exercises pp. 135--, 1bc, 3bc, 6, 10 (due Friday, 11/6) |
| Mon | 10/19 | Fall Break | |
| Wed | 10/21 | ||
| Fri | 10/23 | Section 3.4: Cubic Spline Interpolation | For homework: lab, and pp. 152-: 3b; 4d; 5b; 6d; 21; 29 (due Friday, 11/6) |
| Mon | 10/26 | ||
| Wed | 10/28 | Section 4.1: Numerical Differentiation | pp. 176--, #1b, 2b, 3b, 4b, 5b, 7b, 9b, 11b, 26, 27 (due Friday, 11/13) |
| Fri | 10/30 | ||
| Mon | 11/2 | Section 4.2: Richardson's Extrapolation | pp. 184--, #1d, 2d, 3d, 6, 8, 15 (due Friday, 11/20 -- revised date) |
| Wed | 11/4 | ||
| Fri | 11/6 | Section 4.3: Elements of Numerical Integration | |
| Mon | 11/9 | pp. 195--, Part b of exercises 1-12; 14; 19, 20 (Due Monday, 11/23) | |
| Wed | 11/11 | Section 4.4: Compositive Numerical Integration | pp. 203--, 1,3,5 (parts bf for each of these); 8, 14, 19 (due 11/30) |
| Fri | 11/13 | ||
| Mon | 11/16 | Exam 2 | |
| Wed | 11/18 | Section 4.6: Adaptive quadrature (added) | (This section will help us prepare for the project.) Homework: you should provide me with a typed, one-page project proposal by Monday, 11/23. It will include the description of the project you're taking on, indicate whether you're working with a partner or not, and give me an indication of the software you'll be using to work on the project (you'll need to use something that I can access, so that I can test your method). |
| Fri | 11/20 | Section 5.1: Elementary Theory of Initial-Value Problems | pp. 255--, #1d, 3b, 4b (due 12/4) |
| Mon | 11/23 | ||
| Wed | 11/25 | Thanksgiving | |
| Fri | 11/27 | Thanksgiving | |
| Mon | 11/30 | Section 5.2: Euler's Method | pp. 263--, Parts b of #1-4, 11, 12 (due Friday, 12/11) |
| Wed | 12/2 | ||
| Fri | 12/4 | Section 5.3: Higher-Order Taylor Methods | |
| Mon | 12/7 | ||
| Wed | 12/9 | Section 5.4: Runge-Kutta Methods | |
| Fri | 12/11 | ||
| Mon | 12/14 | Rest! | |
| Wed | 12/16 | Final Exam | 1:00-3:00 |