Math 620 - Numerical Analysis

Fall 2013 - Matthias K. Gobbert and Andreas Meister

Detailed Schedule - Last Updated 10/29/13

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 the text, Kendall E. Atkinson, An Introduction to Numerical Analysis, second edition, Wiley, 1989.
The software workshops on Matlab are offered by the Center for Interdisciplinary Research and Consulting (www.umbc.edu/circ).

Class	Date	Time / Main Topic	Section(s) / Room
1	Th 08/29 G	Overview
2	Tu 09/03 G	Gaussian elimination: LU factorization	8.1
	We 09/04	12:00-01:00 CIRC Software Workshop: Basic MATLAB	ENGR 122
3, #1	Th 09/05 G	Taylor's theorem in one dimension	1.1
4	Tu 09/10 G	Taylor's theorem in higher dimensions	1.1
5, #2	Th 09/12 M	Interpolation: existence and uniqueness	3.1
6	Tu 09/17 M	Interpolation: Newton divided differences, error theorem	3.2
	We 09/18	12:00-01:00 CIRC Software Workshop: Basic Programming in MATLAB	ENGR 122
7	Th 09/19 M	Interpolation: problems with equidistant nodes	3.5
8	Tu 09/24 M	Interpolation: cubic spline interpolation	3.7
9, #3	Th 09/26 G	Numerical differentiation: idea and methods	5.7
10	Tu 10/01 G	Numerical differentiation: errors and effect of round-off	5.7
	We 10/02	12:00-01:00 CIRC Software Workshop: 3-D Graphics in MATLAB	ENGR 122
11, #4	Th 10/03 M	Numerical integration: idea and trapezoidal rule	5.1
12	Tu 10/08 M	Numerical integration: Simpson and other rules	5.2
13	Th 10/10 M	Numerical integration: Gaussian quadrature	5.3
14	Tu 10/15 G	Approximation: concepts and theory	4.1-4.2
	We 10/16	12:00-01:00 CIRC Software Workshop: Advanced Programming in MATLAB	ENGR 122
15, #5	Th 10/17 G	Approximation: least-squares approximations	4.3
16	Tu 10/22 G	Approximation: orthogonal polynomials	4.4
17	Th 10/24 G	Approximation: relation to interpolation	4.5-4.7
18	Tu 10/29 G	Review
19, #6	Th 10/31	Midterm Exam
20	Tu 11/05 M	Rootfinding: basic methods	2.0-2.3
21	Th 11/07 M	Rootfinding: theory of fixed-point methods	2.5
22, #7	Tu 11/12 M	Systems of nonlinear equations: Newton's method	2.10, 2.12
23	Th 11/14 M	Systems of nonlinear equations: Newton's method	2.11
24	Tu 11/19 G	Numerical o.d.e.'s: problem and mathematical theory	6.1
25, #8	Th 11/21 G	Numerical o.d.e.'s: local truncation error, stability, convergence	6.2-6.5
26	Tu 11/26 G	Numerical o.d.e.'s: linear multi-step methods	6.8
	Th 11/28	Thanksgiving Holiday
27	Tu 12/03 G	Numerical o.d.e.'s: methods for stiff problems, Runge-Kutta methods	6.9-6.10
28, #9	Th 12/05 G	Computer numbers: IEEE-standard for floating-point numbers	1.2
29	Tu 12/10 G	Computer numbers: IEEE-standard for floating-point numbers	1.2
	Tu 12/17	03:30-05:30 Final Exam Note the date and time!