Math 441 - Introduction to Numerical Analysis

Fall 2019 - Matthias K. Gobbert

Detailed Schedule - Last Updated 11/05/19

This schedule is designed to give you an overview of the material to be covered and is tentative in nature. This is a living document and will be updated throughout the semester.
The section numbers refer to Kendall E. Atkinson, An Introduction to Numerical Analysis, second edition, Wiley, 1989.
The numbers #1, #2, etc. in the Class column indicate the due date of the homework with that number.

Class	Date	Main Topic	Section(s)
1	Th 08/29	Overview
2, #1a	Tu 09/03	Gaussian elimination: reduction in appended tableau	8.1
3	Th 09/05	Gaussian elimination: LU factorization	8.1
4, #1b	Tu 09/10	Gaussian elimination and LU factorization in Matlab
5	Th 09/12	Taylor's theorem in one dimension	1.1
6	Tu 09/17	Taylor's theorem in higher dimensions	1.1
7, #2	Th 09/19	Taylor's theorem in higher dimensions	1.1
8	Tu 09/24	Interpolation: existence and uniqueness	3.1
9	Th 09/26	Interpolation: Newton divided differences, error theorem	3.2
10, #3	Tu 10/01	Interpolation: problems with equidistant nodes, Matlab	3.5
11	Th 10/03	Numerical differentiation: Taylor's theorem and methods	5.7
12	Tu 10/08	Numerical differentiation: errors and effect of round-off, Matlab	5.7
13, #4	Th 10/10	Numerical integration: Newton-Coates formulas, composite quadrature rules	5.1, 5.2
14	Tu 10/15	Numerical integration in Matlab
15	Th 10/17	Numerical integration: Gauss-Legendre quadrature	5.3
16, #5	Tu 10/22	Numerical integration: general Gaussian quadrature	5.3
17	Th 10/24	Rootfinding: bisection method	2.0-2.3
18	Tu 10/29	Review
19, #6	Th 10/31	Midterm Exam
20	Tu 11/05	Rootfinding: Newton's method in Matlab
21, #7	Th 11/07	Systems of non-linear equations: Newton's method	2.10-2.12
22	Tu 11/12	Systems of non-linear equations: Newton's method in practice
23, #8	Th 11/14	Numerical o.d.e.'s: problem and mathematical theory	6.1
24	Tu 11/19	Numerical o.d.e.'s: basic methods, local truncation error	6.2-6.5
25	Th 11/21	Numerical o.d.e.'s: method survey	6.8-6.10
26	Tu 11/26	Numerical o.d.e.'s: methods in Matlab
	Th 11/28	Thanskgiving Holiday
27, #9	Tu 12/03	Computer numbers: IEEE-standard for floating-point numbers	1.2
28	Th 12/05	Computer numbers: IEEE-standard for floating-point numbers	1.2
29	Tu 12/10	Review
	Tu 12/17	10:30-12:30 Final Exam Note the date and time!