Class | Date | Main Topic | Section(s) |
1 | We 09/02 | Overview | |
Mo 09/07 | Labor Day | ||
We 09/09 | 12:00-01:00, ENGR 122: CIRC Software workshop: Basic MATLAB | ||
2, #0 | We 09/09 | Gaussian elimination: LU factorization | 8.1 |
3 | Mo 09/14 | Gaussian elimination and LU factorization in Matlab | |
4, #1 | We 09/16 | Taylor's theorem in one dimension | 1.1 |
5 | Mo 09/21 | Taylor's theorem in higher dimensions | 1.1 |
We 09/23 | 12:00-01:00, ENGR 122: CIRC Software workshop: Basic Programming in MATLAB | ||
6 | We 09/23 | Taylor's theorem in higher dimensions | 1.1 |
7, #2 | Mo 09/28 | Interpolation: existence and uniqueness | 3.1 |
8 | We 09/30 | Interpolation: Newton divided differences, error theorem | 3.2 |
9 | Mo 10/05 | Interpolation: problems with equidistant nodes | 3.5 |
We 10/07 | 12:00-01:00, ENGR 122: CIRC Software workshop: Intermediate Programming in MATLAB | ||
10, #3 | We 10/07 | Numerical differentiation: idea and methods | 5.7 |
11 | Mo 10/12 | Review | |
12 | We 10/14 | Midterm Exam | |
13 | Mo 10/19 | Numerical differentiation: errors and effect of round-off | 5.7 |
14, #4 | We 10/21 | Numerical integration: idea and trapezoidal rule | 5.1 |
15 | Mo 10/26 | Numerical integration: Simpson and other rules | 5.2 |
16 | We 10/28 | Numerical integration in Matlab | |
17, #5 | Mo 11/02 | Numerical integration: Gaussian quadrature | 5.3 |
18 | We 11/04 | Rootfinding: basic methods | 2.0-2.3 |
19, #6 | Mo 11/09 | Newton's method in Matlab | |
20 | We 11/11 | Rootfinding: theory of fixed-point methods | 2.5 |
21 | Mo 11/16 | Systems of nonlinear equations: Newton's method | 2.10-2.12 |
22, #7 | We 11/18 | Numerical o.d.e.'s: problem and mathematical theory | 6.1 |
23 | Mo 11/23 | Numerical o.d.e.'s: basic methods, local truncation error | 6.2-6.5 |
24 | We 11/25 | Numerical o.d.e.'s: linear multi-step methods | 6.8 |
25, #8 | Mo 11/30 | Numerical o.d.e.'s: Runge-Kutta methods | 6.10 |
26 | We 12/02 | Numerical o.d.e.'s: methods for stiff problems | 6.9 |
27 | Mo 12/07 | Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
28, #9 | We 12/09 | Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
29 | Mo 12/14 | Review | |
We 12/16 | 01:00-03:00 Final Exam Note the date and time! | ||