Math 341 - Computational Methods

Spring 2017 - Matthias K. Gobbert

Detailed Schedule - Last Updated 04/13/17

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 and Weimin Han, Elementary Numerical Analysis, third edition, Wiley, 2004.
The numbers #0, #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	Tu 01/31	Overview
2, #0	Th 02/02	Gaussian elimination: reduction in appended tableau	6.1-6.3
3	Tu 02/07	Gaussian elimination: review of invertible matrix theorem	6.3-6.4
	We 02/08	12:00-01:00, ENGR 122: CIRC Software workshop: Basic MATLAB
4, #1	Th 02/09	Gaussian elimination in Matlab
5	Tu 02/14	Taylor's theorem in one dimension	1.1
6	Th 02/16	Taylor's theorem in higher dimensions	1.2
7, #2	Tu 02/21	Taylor's theorem in Matlab
	We 02/22	12:00-01:00, ENGR 122: CIRC Software workshop: Basic Programming in MATLAB
8	Th 02/23	Interpolation: existence and uniqueness	4.1
9	Tu 02/28	Interpolation: Newton divided differences, error theorem	4.1
10, #3	Th 03/02	Interpolation: problems with equidistant nodes, Matlab	4.2
11	Tu 03/07	Numerical differentiation: Taylor's theorem and methods	5.4
	We 03/08	12:00-01:00, ENGR 122: CIRC Software workshop: Intermediate Programming in MATLAB
12	Th 03/09	Numerical differentiation: errors and effect of round-off	5.4
13	Tu 03/14	Numerical differentiation in Matlab
14, #4	Th 03/16	Midterm Exam
	Tu 03/21	Spring Break
	Th 03/23	Spring Break
15	Tu 03/28	Numerical integration: Newton-Coates formulas	5.1
	We 03/29	12:00-01:00, ENGR 122: CIRC Software workshop: Advanced Programming in MATLAB
16	Th 03/30	Numerical integration: composite quadrature rules	5.2
17	Tu 04/04	Numerical integration in Matlab
18, #5	Th 04/06	Numerical integration: Gaussian quadrature	5.3
19	Tu 04/11	Rootfinding: basic methods	3.1
20, #6	Th 04/13	Rootfinding: Newton's method in Matlab	3.2
21	Tu 04/18	Rootfinding: theory of fixed-point methods	3.4
22, #7	Th 04/20	Systems of non-linear equations: Newton's method
23	Tu 04/25	Systems of non-linear equations: Newton's method in practice
24, #8	Th 04/27	Numerical o.d.e.'s: problem and mathematical theory	8.1
25	Tu 05/02	Numerical o.d.e.'s: basic methods, local truncation error	8.2-8.3
26	Th 05/04	Numerical o.d.e.'s: method survey	8.4-8.6
27, #9	Tu 05/09	Numerical o.d.e.'s: methods in Matlab
28	Th 05/11	Computer numbers: IEEE-standard for floating-point numbers	2.1
29	Tu 05/16	Computer numbers: IEEE-standard for floating-point numbers	2.1
	Tu 05/23	10:30-12:30 Final Exam Note the date and time!