| Week | Dates | Main Topic | Chapter |
| 1 | 01/31-02/04 | Overview, Gaussian elimination: LU factorization, error | 8 |
| 2 | 02/07-02/11 | Taylor's theorem, sources of error | 1 |
| 3 | 02/14-02/18 | Numerical differentiation: methods and errors, effect of round-off | 5 |
| 4 | 02/21-02/25 | Interpolation: theory and practice, Newton divided differences | 3 |
| 5 | 02/28-03/03 | Interpolation: piecewise polynomial interpolation | 3 |
| 6 | 03/06-03/10 | Numerical integration: Newton-Cotes rules, theory | 5 |
| 7 | 03/13-03/17 | Numerical integration: Gaussian quadrature | 5 |
| 03/20-03/24 | Spring Break | ||
| 8 | 03/27-03/31 | Approximation: orthogonal polynomials, concepts | 4 |
| 9 | 04/03-04/07 | Rootfinding: bisection method, theory of fixed-point methods | 2 |
| 10 | 04/10-04/14 | Systems of nonlinear equations: Newton's method | 2 |
| 11 | 04/17-04/21 | Numerical o.d.e.'s: theory for Euler's method | 6 |
| 12 | 04/24-04/28 | Numerical o.d.e.'s: higher-order methods | 6 |
| 13 | 05/01-05/05 | Numerical o.d.e.'s: methods for stiff problems | 6 |
| 14 | 05/08-05/12 | Computer numbers: IEEE-standard 754 | 1 |
| 15 | 05/15 | Review | |