| Week | Main Topic | Chapter |
| 1 | Taylor's theorem: review, examples, error bounds | 1 |
| 2 | Numerical integration: motivation, examples | 7 |
| 3 | Numerical integration: error analysis, program | 7 |
| 4 | Numerical differentiation: basic formulas and their error terms | 7 |
| 5 | Nonlinear equations: bisection method | 4 |
| 6 | Nonlinear equations: Newton's method | 4 |
| 7
| Numerical solution of ordinary differential equations:
problem, Euler's method, program | 9
|
| 8
| Numerical solution of ordinary differential equations:
truncation error, Runge-Kutta methods | 9
|
| 9 | Gaussian elimination: LU factorization, operations count | 8 |
| 10 | Gaussian elimination: pivoting strategies, round-off error | 8 |
| 11 | Computer numbers: definition, tests, implications | 2 |
| 12 | Numerical differentiation revisited: effects of round-off error | 7 |
| 13 | Interpolation and approximation: comparison of concepts | 5, 6 |
| 14 | review | |