Class | Date | Topic | Section(s) |
1 | Tu 09/01 | Introduction | |
2 | Th 09/03 | Taylor's theorem and applications | 1.1 |
3 | Tu 09/08 | Nonlinear equations: bisection method, Newton's method. | 2.1, 2.2 |
4 | Th 09/10 | Nonlinear equations: Newton's method, secant method. | 2.2, 2.3 |
5 | Tu 09/15 | Nonlinear equations: secant method, fixed point method. | 2.3, 2.5 |
6 | Th 09/17 | Matrix norms. | 7.3 |
7 | Tu 09/22 | Matrix norms (continued). The contraction principle. | 7.3, 2.10 |
8 | Th 09/24 | The contraction principle (continued). The fixed point method for systems of nonlinear equations. | 2.10 |
9 | Tu 09/29 | Newton's method for nonlinear systems. | 2.11 |
10 | Th 10/01 | Polynomial interpolation theory. | 3.1 |
11 | Tu 10/06 | Newton divided differences. | 3.2 |
12 | Th 10/08 | Hermite interpolation. | 3.6 |
13 | Tu 10/13 | Spline interpolation. | 3.7 |
14 | Th 10/15 | review discussion | |
15 | Tu 10/20 | Midterm exam. | |
16 | Th 10/22 | ||
17 | Tu 10/27 | ||
18 | Th 10/29 | ||
19 | Tu 11/03 | ||
20 | Th 11/05 | ||
21 | Tu 11/10 | ||
22 | Th 11/12 | ||
23 | Tu 11/17 | ||
24 | Th 11/19 | ||
25 | Tu 11/24 | ||
Th 11/26 | Thanksgiving | ||
26 | Tu 12/01 | ||
27 | Th 12/03 | ||
28 | Tu 12/08 | ||
29 | Th 12/10 | ||
Tu 12/22 | 3:30-5:30 PM Final Exam. Note the date and time! | ||