| Lecture | Date | Main Topic | Chapter |
| 1 | Tu 01/28 | Overview | |
| 2 | Th 01/30 | Gaussian elimination: LU factorization | 8 |
| 3, #1 | Tu 02/04 | Taylor's theorem in one dimension | 1 |
| 4 | Th 02/06 | Taylor's theorem in higher dimensions | 1 |
| 5, #2 | Tu 02/11 | Interpolation: existence and uniqueness | 3 |
| 6 | Th 02/13 | Interpolation: Newton divided differences, error theorem | 3 |
| 7 | Tu 02/18 | Interpolation: cubic spline interpolation | 3 |
| 8 | Th 02/20 | Interpolation: problems with equidistant nodes | 3 |
| 9, #3 | Tu 02/25 | Numerical differentiation: idea and methods | 5 |
| 10 | Th 02/27 | Numerical differentiation: errors and effect of round-off | 5 |
| 11 | Tu 03/04 | Numerical integration: idea and trapezoidal rule | 5 |
| 12, #4 | Th 03/06 | Numerical integration: Simpson and other rules | 5 |
| 13 | Tu 03/11 | Numerical integration: Gaussian quadrature | 5 |
| 14 | Th 03/13 | Approximation: orthogonal polynomials | 4 |
| 15 | Tu 03/18 | Approximation: concepts and theory | 4 |
| 16, #5 | Th 03/20 | Midterm exam | |
| Tu 03/25 | Spring Break | ||
| Th 03/27 | Spring Break | ||
| 17 | Tu 04/01 | Approximation: relation to interpolation | 4 |
| 18 | Th 04/03 | Rootfinding: basic methods | 2 |
| 19 | Tu 04/08 | Rootfinding: theory of fixed-point methods | 2 |
| 20, #6 | Th 04/10 | Systems of nonlinear equations: Newton's method | 2 |
| 21 | Tu 04/15 | Systems of nonlinear equations: Newton's method | 2 |
| 22 | Th 04/17 | Numerical o.d.e.'s: problem and mathematical theory | 6 |
| 23 | Tu 04/22 | Numerical o.d.e.'s: basic methods, local truncation error | 6 |
| 24, #7 | Th 04/24 | Numerical o.d.e.'s: accuracy and stability | 6 |
| 25 | Tu 04/29 | Numerical o.d.e.'s: linear multi-step methods | 6 |
| 26 | Th 05/01 | Numerical o.d.e.'s: Runge-Kutta methods | 6 |
| 27 | Tu 05/06 | Numerical o.d.e.'s: methods for stiff problems | 6 |
| 28, #8 | Th 05/08 | Computer numbers: IEEE-standard for floating-point numbers | 1 |
| 29 | Tu 05/13 | Computer numbers: IEEE-standard for floating-point numbers | 1 |