Math 441 - Introduction to Numerical Analysis

Fall 2015 - Matthias K. Gobbert

Detailed Schedule - Last Updated 09/22/15

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 08/27	Overview
2	Tu 09/01	Gaussian elimination: LU factorization	8.1
3, #1	Th 09/03	Gaussian elimination and LU factorization in Matlab
4	Tu 09/08	Taylor's theorem in one dimension	1.1
	We 09/09	12:00-01:00, ENGR 122: CIRC Software workshop: Basic MATLAB
5	Th 09/10	Taylor's theorem in higher dimensions	1.1
6	Tu 09/15	Taylor's theorem in higher dimensions	1.1
7, #2	Th 09/17	Interpolation: existence and uniqueness	3.1
8	Tu 09/22	Interpolation: Newton divided differences	3.2
	We 09/23	12:00-01:00, ENGR 122: CIRC Software workshop: Basic Programming in MATLAB
9	Th 09/24	Interpolation: error theorem, problems with equidistant nodes, Matlab	3.5
10, #3	Tu 09/29	Numerical differentiation: idea and methods	5.7
11	Th 10/01	Numerical differentiation: errors and effect of round-off	5.7
12	Tu 10/06	Review
	We 10/07	12:00-01:00, ENGR 122: CIRC Software workshop: Intermediate Programming in MATLAB
13, #4	Th 10/08	Midterm Exam
14	Tu 10/13	Numerical integration: idea and trapezoidal rule	5.1
15	Th 10/15	Numerical integration: Simpson and other rules	5.2
16	Tu 10/20	Numerical integration in Matlab
	We 10/21	12:00-01:00, ENGR 122: CIRC Software workshop: Advanced Programming in MATLAB
17, #5	Th 10/22	Numerical integration: Gaussian quadrature	5.3
18	Tu 10/27	Rootfinding: basic methods	2.0-2.3
19, #6	Th 10/29	Newton's method in Matlab
20	Tu 11/03	Rootfinding: theory of fixed-point methods	2.5
21	Th 11/05	Systems of nonlinear equations: Newton's method	2.10-2.12
22, #7	Tu 11/10	Numerical o.d.e.'s: problem and mathematical theory	6.1
23	Th 11/12	Numerical o.d.e.'s: basic methods, local truncation error	6.2-6.5
24	Tu 11/17	Numerical o.d.e.'s: linear multi-step methods	6.8
25, #8	Th 11/19	Numerical o.d.e.'s: Runge-Kutta methods	6.10
26	Tu 11/24	Numerical o.d.e.'s: methods for stiff problems	6.9
	Th 11/26	Thanskgiving Holiday
27	Tu 12/01	Computer numbers: IEEE-standard for floating-point numbers	1.2
28, #9	Th 12/03	Computer numbers: IEEE-standard for floating-point numbers	1.2
29	Tu 12/08	Review
	Th 12/10	10:30-12:30 Final Exam Note the date and time!