| MONTH or WEEK | DAY | Topic, Event | Section; Practice Problems | Assigned Problems |
|---|---|---|---|---|
| MAY | ||||
| Chapter 2: Computer Arithmetic | ||||
| WEEK 1 | 16-20 May | |||
| Mon 16 | Course Introduction, outline, policies Floating-Point Numbers and Roundoff Errors What every computer scientist should know about floating-point arithmetic §1.1. | §2.1 # | # | |
| Tue 17 | What every computer scientist should know about floating-point arithmetic §§2.1-3. | Practice Problems | # | |
| Wed 18 | Absolute and Relative Errors: Loss of Significance What every computer scientist should know about floating-point arithmetic §§1.2,1.4. | §2.2 #9a-j | # | |
| Thu 19 | Stable and Unstable Computations: Conditioning | §2.3 # | # | |
| Fri 20 | No class meeting Go to the Mathematics Computer Lab start up a web browser and Matlab, and do the Introduction to Matlab through the section "Programming in Matlab." | |||
| WEEK 2 | 23-27 May | |||
| Chapter 6: Approximating Functions | ||||
| Mon 23 | Polynomial Interpolation | §6.1 #1(c),(e),5,21,27 | # | |
| Tue 24 | 1st Homework Assignment Due [PostScript] [Acrobat] | |||
| Wed 25 | Divided Differences | §6.2 #3,4,5,17 | # | |
| Thu 26 | Hermite Interpolation | §6.3 #1,6,7,12 | #2 | |
| Fri 27 | Spline Interpolation | §6.4 #3,4,7,12,17,19 | ||
| WEEK 3 | 31 May - 4 Jun | |||
| Mon 30 | MEMORIAL DAY HOLIDAY No class meeting | |||
| Tue 31 | Spline Interpolation, continued | |||
| JUNE | ||||
| Wed 1 | B-Splines: Basic Theory 2nd Homework Assignment Due [PostScript] [Acrobat] | §6.5 #4,6,7,13,14 | ||
| Thu 2 | B-Splines: Applications | §6.6 # | ||
| Fri 3 | ||||
| WEEK 4 | 6-10 Jun | |||
| Mon 6 | Taylor Series | §6.7 # | ||
| Tue 7 | Best Approximation: Least-Squares Theory 3rd Homework Assignment Due [PostScript] [Acrobat] Index-of-refraction data. | §6.8 # | ||
| Chapter 7: Numerical Differentiation and Integration | ||||
| Wed 8 | Numerical Differentiation and Richardson Extrapolation | §7.1 # | # | |
| Thu 9 | Interpolatory Quadrature | §7.2 # | # | |
| Fri 10 | Midterm Exam over Chapters 2 and 6 tests Midterm Objectives. | |||
| WEEK 5 | 13-17 Jun | |||
| Mon 13 | # | |||
| Tue 14 | Gaussian Quadrature Example: [PostScript] [Acrobat] | §7.3 # | # | |
| Wed 15 | Romberg Integration | §7.3 # | # | |
| Thu 16 | Adaptive Quadrature | §7.4 # | # | |
| Chapter 8: Numerical Solution of Ordinary Differential Equations | ||||
| Fri 17 | Solutions | §8.1 # | # | |
| WEEK 6 | 20-24 Jun | |||
| Mon 20 | Taylor-Series Method | §8.2 # | # | |
| Tue 21 | Runge-Kutta Methods 4th Homework Assignment Due [PostScript] [Acrobat] Bessel function data. | §8.3 # | # | |
| Wed 22 | Multistep Methods | §8.4 # | # | |
| Thu 23 | Local and Global Errors: Stability | §8.5 # | # | |
| Fri 25 | Systems and Higher-Order Equations | §8.6 # | # | |
| WEEK 7 | 27 Jun - 1 July | |||
| Mon 27 | Boundary-Value Problems | §8.7 # | # | |
| Tue 28 | Shooting Methods | §8.8 # | # | |
| Wed 29 | Finite Differences | §8.9 # | # | |
| Thu 30 | Collocation | §8.10 # | # | |
| JULY | ||||
| Fri 1 | Linear Differential Equations | §8.11 # | # | |
| WEEK 8 | 4 - 8 Jul | |||
| Mon 4 | Independence Day Holiday No Class Meeting | |||
| Tue 5 | Stiff Equations | §8.12 # | # | |
| Wed 7 | 5th Homework Assignment Due [PostScript] [Acrobat] | |||
| Thu 8 | ||||
| Fri 9 | FINAL EXAM | |||
