Class | Date | Main Topic | Section(s) |
1, HW0 | Tu 08/31 | BQ0a, BQ0b, IQ0, Introductions, Overview, GQ0a | |
2 | Th 09/02 | BQ1a, GQ1a, Gaussian elimination: reduction in appended tableau and in Matlab/Octave | 8.1 |
3 | Tu 09/07 | BQ1b, Gaussian elimination: reduction in appended tableau and in Matlab/Octave | 8.1 |
4, HW1 | Th 09/09 | BQ1c, Gaussian elimination: LU factorization in software, effect of accumulated round-off | 8.2 |
5 | Tu 09/14 | BQ2ab, Taylor's theorem in one dimension | 1.1 |
6 | Th 09/16 | BQ2c, Taylor's theorem in higher dimensions, GQ2a | 1.1 |
7, HW2 | Tu 09/21 | Taylor's theorem in higher dimensions, GQ2b | 1.1 |
8 | Th 09/23 | BQ3a, Interpolation: existence and uniqueness | 3.1 |
9 | Tu 09/28 | BQ3b, Interpolation: Newton divided differences, error theorem | 3.2 |
10, HW3 | Th 09/30 | Interpolation: problems with equidistant nodes, Matlab/Octave | 3.5 |
11 | Tu 10/05 | BQ4a, Numerical differentiation: Taylor's theorem and methods | 5.7 |
12, HW4 | Th 10/07 | BQ4b, Numerical differentiation: errors and effect of round-off, Matlab/Octave, GQ4a | 5.7 |
13 | Tu 10/12 | BQ5ab, Numerical integration: composite trapezoidal and Simpson rules | 5.1-5.2 |
14, HW5 | Th 10/14 | Numerical integration in Matlab/Octave, GQ5a | |
15 | Tu 10/19 | Review | |
16 | Th 10/21 | Midterm Exam | |
17 | Tu 10/26 | BQ5e, Numerical integration: Gauss-Legendre quadrature, GQ5e | 5.3 |
18, HW6 | Th 10/28 | BQ5f, Numerical integration: general Gaussian quadrature | 5.3 |
19 | Tu 11/02 | BQ7a, BQ7b, Rootfinding: bisection, Newton, secant methods | 2.0-2.3 |
20, HW7a | Th 11/04 | BQ7c, BQ7d, Rootfinding: Newton's method in Matlab/Octave GQ7d | 2.5 |
21 | Tu 11/09 | BQ7e, Systems of non-linear equations: Newton's method | 2.10-2.11 |
22, HW7b | Th 11/11 | Systems of non-linear equations: Newton's method in practice | |
23 | Tu 11/16 | BQ8a, Numerical ODEs: problem, local truncation error, GQ8a | 6.1 |
24 | Th 11/18 | BQ8b, Numerical ODEs: basic methods, linear stability analysis | 6.2-6.3 |
25, HW8 | Tu 11/23 | Numerical ODEs: method survey, methods in Matlab/Octave | 6.7-6.10 |
Th 11/25 | Thanksgiving Holiday | ||
26 | Tu 11/30 | Numerical ODEs: stiffness in ODEs, GQ8b | 6.7-6.10 |
27 | Th 12/02 | BQ9a, Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
28, HW9 | Tu 12/07 | Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
29, HW10 | Th 12/09 | Review | |
Tu 12/21 | 10:30-12:30 Final Exam Note the date and time! | ||