Class | Date | Main Topic | Section(s) |
1, HW0 | Th 08/27 | BQ0a, BQ0b, IQ0, Introductions, Overview, GQ0a | |
2 | Tu 09/01 | BQ1a, BQ1b, GQ1a, Gaussian elimination: reduction in appended tableau and in Matlab/Octave | 8.1 |
3, HW1 | Th 09/03 | BQ1c, Gaussian elimination: LU factorization in software, effect of accumulated round-off | 8.2 |
4 | Tu 09/08 | BQ2ab, Taylor's theorem in one dimension, GQ2a | 1.1 |
5, HW2 | Th 09/10 | BQ2c, Taylor's theorem in higher dimensions, GQ2b | 1.1 |
6 | Tu 09/15 | BQ3a, Interpolation: existence and uniqueness | 3.1 |
7 | Th 09/17 | BQ3b, Interpolation: Newton divided differences, error theorem | 3.2 |
8, HW3 | Tu 09/22 | Interpolation: problems with equidistant nodes, Matlab/Octave | 3.5 |
9 | Th 09/24 | BQ4a, Numerical differentiation: Taylor's theorem and methods | 5.7 |
10, HW4 | Tu 09/29 | BQ4b, Numerical differentiation: errors and effect of round-off, Matlab/Octave, GQ4a | 5.7 |
11 | Th 10/01 | BQ5ab, Numerical integration: composite trapezoidal and Simpson rules | 5.1-5.2 |
12, HW5 | Tu 10/06 | Numerical integration in Matlab/Octave, GQ5a | |
13 | Th 10/08 | BQ5e, Numerical integration: Gauss-Legendre quadrature, GQ5e | 5.3 |
14, HW6a | Tu 10/13 | BQ5f, Numerical integration: general Gaussian quadrature | 5.3 |
15 | Th 10/15 | Midterm Exam | |
16 | Tu 10/20 | BQ6a, Approximation: concepts and theory, orthogonal polynomials | 4.1-4.4 |
17, HW6b | Th 10/22 | BQ6b, Approximation: relation to interpolation | 4.5-4.7 |
18 | Tu 10/27 | BQ7a, BQ7b, Rootfinding: bisection, Newton, secant methods | 2.0-2.3 |
19, HW7a | Th 10/29 | BQ7c, BQ7d, Rootfinding: Newton's method in Matlab/Octave GQ7d | 2.5 |
20 | Tu 11/03 | BQ7e, Systems of non-linear equations: Newton's method | 2.10-2.11 |
21, HW7b | Th 11/05 | Systems of non-linear equations: Newton's method in practice | |
22 | Tu 11/10 | BQ8a, Numerical ODEs: problem, local truncation error, GQ8a | 6.1 |
23 | Th 11/12 | BQ8b, Numerical ODEs: basic methods, linear stability analysis | 6.2-6.3 |
24 | Tu 11/17 | Numerical ODEs: stiffness in ODEs, GQ8b | 6.7-6.10 |
25, HW8 | Th 11/19 | Numerical ODEs: method survey | 6.7-6.10 |
26 | Tu 11/24 | Numerical ODEs: methods in Matlab/Octave | |
Th 11/26 | Thanksgiving Holiday | ||
27 | Tu 12/01 | BQ9a, Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
28, HW9 | Th 12/03 | Computer numbers: IEEE-standard for floating-point numbers | 1.2 |
29, HW10 | Tu 12/08 | Review | |
Tu 12/15 | 03:30-05:30 Final Exam Note the date and time! | ||