| Class | Date | Topic | Section(s) |
| 1 | We 08/29 | Introduction | |
| Mo 09/03 | Labor Day | ||
| 2 | We 09/05 | Gaussian elimination: LU factorization. | 8.1, 8.2 |
| 3 | Mo 09/10 | Pivoting in Gaussian elimination: LUP factorization. | 8.3 |
| 4 | We 09/12 | LU factorization for band matrices. Taylor's theorem and applications. | 8.3, 1.1 |
| 5 | Mo 09/17 | Nonlinear equations: bisection method, Newton's method. | 2.1, 2.2 |
| 6 | We 09/19 | Nonlinear equations: Newton's method, secant method. | 2.2, 2.3 |
| 7 | Mo 09/24 | Nonlinear equations: secant method, fixed point method. | 2.3, 2.5 |
| 8 | We 09/26 | Matrix norms. | 7.3 |
| 9 | Mo 10/01 | Matrix norms (continued). The contraction principle. | 7.3, 2.10 |
| 10 | We 10/03 | The contraction principle (continued). The fixed point method for systems of nonlinear equations. | 2.10 |
| 11 | Mo 10/08 | Newton's method for nonlinear systems. | 2.11 |
| 12 | We 10/10 | Polynomial interpolation theory. | 3.1 |
| 13 | Mo 10/15 | Newton divided differences. | 3.2 |
| 14 | We 10/17 | Hermite interpolation. | 3.6 |
| 15 | Mo 10/22 | review discussion | |
| 16 | We 10/24 | Midterm exam. | |
| 17 | Mo 10/29 | Spline interpolation. | 3.7 |
| 18 | We 10/31 | Function approximation. | 4.2, 4.3 |
| 19 | Mo 11/05 | Orthogonal polynomials. | 4.4 |
| 20 | We 11/07 | Numerical differentiation. | 5.7 |
| 21 | Mo 11/12 | Numerical integration 1. | 5.1, 5.2 |
| 22 | We 11/14 | Numerical integration 2. | 5.1, 5.2 |
| 23 | Mo 11/19 | Gaussian integration. | 5.3 |
| 24 | We 11/21 | Numerical differentiation. | 5.7 |
| 25 | Mo 11/26 | Numerical solution of ODEs. Introduction and Euler's method. | 6.1, 6.2 |
| 26 | We 11/28 | Design of multistep methods, midpoint method, backward methods. Numerical illustration. | 6.3 (part), 6.4 (part) |
| 27 | Mo 12/03 | Multistep methods. Consistency and convergence. Trapezoidal method. | 6.3, 6.4, 6.5 |
| 28 | We 12/05 | Stability and convergence of multistep methods. | 6.8 |
| 29 | Mo 12/10 | Overview of Runge-Kutta methods, regions of stability. Review of second part of the course. | |
| Mo 12/17 | 6:00-8:00 PM Final Exam Note the date and time! | ||