Class | Date | Topic | Section(s) |
1 | We 08/31 | Introduction | |
2 | We 09/07 | Taylor's theorem and applications. Nonlinear equations: bisection method. | 1.1, 2.1 |
3 | Mo 09/12 | Nonlinear equations: Newton's method. | 2.2 |
4 | We 09/14 | Nonlinear equations: Newton's method (cont.), secant method. | 2.2, 2.3 |
5 | Mo 09/19 | Nonlinear equations: the fixed point method. | 2.5 |
6 | We 09/21 | Matrix norms. The contraction principle for vector equations. | 7.3, 2.10 |
7 | Mo 09/26 | Nonlinear equations: Newton's method for vector equations. | 2.11 |
8 | We 09/28 | Nonlinear equations: Newton's method for vector equations (cont.) | 2.11 |
9 | Mo 10/03 | Polynomial interpolation theory. | 3.1 |
10 | We 10/05 | Newton divided differences. | 3.2 |
11 | Mo 10/10 | Hermite interpolation. | 3.6 |
12 | We 10/12 | Piecewise polynomial interpolation. | 3.7 |
13 | Mo 10/17 | Spline interpolation. | 3.7 |
14 | We 10/19 | Least-squares approximation. | 4.2, 4.3 |
15 | Mo 10/24 | ||
16 | We 10/26 | Midterm exam. | |
17 | Mo 10/31 | ||
18 | We 11/02 | ||
19 | Mo 11/07 | ||
20 | We 11/09 | ||
21 | Mo 11/14 | ||
22 | We 11/16 | ||
23 | Mo 11/21 | ||
24 | We 11/23 | ||
25 | Mo 11/28 | ||
26 | We 11/30 | ||
27 | Mo 12/05 | ||
28 | We 12/07 | ||
29 | Mo 12/12 | ||
Mo 12/19 | 3:30-5:30 PM Final Exam. Note the date and time! | ||