| Class | Date | Topic | Section(s) |
| 1 | We 08/27 | Introduction | |
| 2 | We 09/03 | Taylor's theorem and applications | 1.1 |
| 3 | Mo 09/08 | Taylor's theorem (cont.). Nonlinear equations: bisection method. | 2.1 |
| 4 | We 09/10 | Nonlinear equations: Newton's method. | 2.2 |
| 5 | Mo 09/15 | Introduction to Matlab. Nonlinear equations: Newton's method (cont.). | 2.3 |
| 6 | We 09/17 | Nonlinear equations: secant method. | 2.3 |
| 7 | Mo 09/22 | Nonlinear equations: the fixed point method. | 2.5 |
| 8 | We 09/24 | Matrix norms. The contraction principle. | 7.3, 2.10 |
| 9 | Mo 09/29 | The fixed point method for systems of nonlinear equations. | 2.10 |
| 10 | We 10/01 | Newton's method for nonlinear systems. | 2.11 |
| 11 | Mo 10/06 | Polynomial interpolation theory. | 3.1 |
| 12 | We 10/08 | Newton divided differences. | 3.2 |
| 13 | Mo 10/13 | Hermite interpolation. | 3.6 |
| 14 | We 10/15 | Piecewise polynomial interpolation. | 3.7 |
| 15 | Mo 10/20 | Spline interpolation. | 3.7 |
| 16 | We 10/22 | Least-squares approximation. | 4.2, 4.3 |
| 17 | Mo 10/27 | Review for midterm exam. | |
| 18 | We 10/29 | Midterm exam. | |
| 19 | Mo 11/03 | Orthogonal polynomials. | 4.4 |
| 20 | We 11/05 | Orthogonal polynomials (cont.) | 4.4 |
| 21 | Mo 11/10 | Solutions to homework problems and midterm exam. | |
| 22 | We 11/12 | Numerical integration 1. | 5.1 |
| 23 | Mo 11/17 | Numerical integration 2. | 5.2, 5.3 |
| 24 | We 11/19 | Numerical differentiation. | 5.7 |
| 25 | Mo 11/24 | Numerical methods for ODEs. Euler's Method. | 6.1, 6.2 |
| 26 | We 11/26 | The midpoint and trapezoidal methods. Multistep methods. | 6.4, 6.5 |
| 27 | Mo 12/01 | Multistep methods. Consistency and convergence. Higher order methods. | 6.3, 6.7 |
| 28 | We 12/03 | ||
| 29 | Mo 12/08 | ||
| Mo 12/15 | 3:30-5:30 PM Final Exam. Note the date and time! | ||