| Class | Date | Main Topic | Section(s) |
| 1 | Th 08/30 | Overview | |
| 2 | Tu 09/04 | Gaussian elimination: LU factorization | 8.1 |
| We 09/05 | 12:00-01:00, ENGR 122: CIRC Software workshop: Basic MATLAB | ||
| 3 | Th 09/06 | Gaussian elimination and LU factorization in Matlab | |
| 4, #1 | Tu 09/11 | Taylor's theorem in one dimension | 1.1 |
| 5 | Th 09/13 | Taylor's theorem in higher dimensions | 1.1 |
| 6 | Tu 09/18 | Opportunities for Undergraduate Research | |
| 7 | Th 09/20 | Library Research Techniques | |
| 8, #2 | Tu 09/25 | Interpolation: existence and uniqueness | 3.1 |
| 9 | Th 09/27 | Interpolation: Newton divided differences, error theorem | 3.2 |
| 10 | Tu 10/02 | Interpolation: problems with equidistant nodes | 3.5 |
| 11, #3 | Th 10/04 | Review | |
| 12 | Tu 10/09 | Midterm Exam | |
| 13 | Th 10/11 | Numerical differentiation: idea and methods | 5.7 |
| 14 | Tu 10/16 | Numerical differentiation: errors and effect of round-off | 5.7 |
| 15 | Th 10/18 | Numerical integration: idea and trapezoidal rule | 5.1 |
| 16, #4 | Tu 10/23 | Numerical integration: Simpson and other rules | 5.2 |
| 17 | Th 10/25 | Numerical integration in Matlab | |
| 18 | Tu 10/30 | Rootfinding: basic methods | 2.0-2.3 |
| 19, #5 | Th 11/01 | Rootfinding: theory of fixed-point methods | 2.5 |
| 20 | Tu 11/06 | Systems of nonlinear equations: Newton's method | 2.10-2.12 |
| 21 | Th 11/08 | Newton's method in Matlab | |
| 22, #6 | Tu 11/13 | Numerical o.d.e.'s: problem and mathematical theory | 6.1 |
| 23 | Th 11/15 | Numerical o.d.e.'s: basic methods, local truncation error | 6.2-6.5 |
| 24, #7 | Tu 11/20 | Numerical o.d.e.'s: linear multi-step methods | 6.8 |
| Th 11/22 | Thanksgiving holiday | ||
| 25 | Tu 11/27 | Numerical o.d.e.'s: Runge-Kutta methods | 6.10 |
| 26 | Th 11/29 | Numerical o.d.e.'s: methods for stiff problems | 6.9 |
| 27, #8 | Tu 12/04 | Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
| 28 | Th 12/06 | Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
| 29 | Tu 12/11 | Review | |
| Th 12/13 | 01:00-03:00 Final Exam Note the date and time! | ||