Math 441 - Introduction to Numerical Analysis

Fall 2016 - Matthias K. Gobbert

Detailed Schedule - Last Updated 11/28/16

This schedule is designed to give you an overview of the material to be covered and is tentative in nature.
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 indicated that the homework with that number is due at the beginning of class that day.
The orange color indicates software workshops on Matlab, offered by the Center for Interdisciplinary Research and Consulting (circ.umbc.edu).

Class	Date	Main Topic	Section(s)
1	Th 09/01	Overview
2, #1a	Tu 09/06	Gaussian elimination: reduction in appended tableau	8.1
	We 09/07	12:00-01:00, ENGR 122: CIRC Software workshop: Basic MATLAB
3	Th 09/08	Gaussian elimination: LU factorization	8.1
4, #1b	Tu 09/13	Gaussian elimination and LU factorization in Matlab
5	Th 09/15	Taylor's theorem in one dimension	1.1
6	Tu 09/20	Taylor's theorem in higher dimensions	1.1
	We 09/21	12:00-01:00, ENGR 122: CIRC Software workshop: Basic Programming in MATLAB
7	Th 09/22	Taylor's theorem in higher dimensions	1.1
8, #2	Tu 09/27	Interpolation: existence and uniqueness	3.1
9	Th 09/29	Interpolation: Newton divided differences, error theorem	3.2
10	Tu 10/04	Interpolation: problems with equidistant nodes, Matlab	3.5
	We 10/05	12:00-01:00, ENGR 122: CIRC Software workshop: Intermediate Programming in MATLAB
11, #3	Th 10/06	Numerical differentiation: Taylor's theorem and methods	5.7
12	Tu 10/11	Numerical differentiation: errors and effect of round-off	5.7
13	Th 10/13	Numerical differentiation in Matlab
14, #4	Tu 10/18	Midterm Exam
	We 10/19	12:00-01:00, ENGR 122: CIRC Software workshop: Advanced Programming in MATLAB
15	Th 10/20	Numerical integration: Newton-Coates formulas	5.1
16	Tu 10/25	Numerical integration: composite quadrature rules	5.2
17	Th 10/27	Numerical integration in Matlab
18, #5	Tu 11/01	Numerical integration: Gaussian quadrature	5.3
19	Th 11/03	Rootfinding: basic methods	2.0-2.3
20, #6	Tu 11/08	Newton's method in Matlab
21	Th 11/10	Rootfinding: theory of fixed-point methods	2.5
22, #7	Tu 11/15	Systems of non-linear equations: Newton's method	2.10-2.12
23	Th 11/17	Systems of non-linear equations: Newton's method in practice
24, #8	Tu 11/22	Numerical o.d.e.'s: problem and mathematical theory	6.1
	Th 11/24	Thanskgiving Holiday
25	Tu 11/29	Numerical o.d.e.'s: basic methods, local truncation error	6.2-6.5
26	Th 12/01	Numerical o.d.e.'s: method survey	6.8-6.10
27, #9	Tu 12/06	Numerical o.d.e.'s: methods in Matlab
28	Th 12/08	Computer numbers: IEEE-standard for floating-point numbers	1.2
29	Tu 12/13	Computer numbers: IEEE-standard for floating-point numbers	1.2
	Tu 12/20	10:30-12:30 Final Exam Note the date and time!