Math 620 - Numerical Analysis

Fall 2018 - Matthias K. Gobbert

Detailed Schedule - Last Updated 11/27/18

This schedule is designed to give you an overview of the material to be covered and is tentative in nature. It is a living document and will be updated throughout the semester.
The section numbers refer to the text, Kendall E. Atkinson, An Introduction to Numerical Analysis, second edition, Wiley, 1989.
The numbers #1, #2, etc. in the Class column indicate 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	Time / Main Topic	Section(s) / Room
1	Th 08/30	Overview
2, #1a	Tu 09/04	Gaussian elimination: reduction in appended tableau	8.1
	We 09/05	12:00-01:00 CIRC Software Workshop: Basic MATLAB	ENGR 122
3	Th 09/06	Gaussian elimination: LU factorization in software	8.1
4, #1b	Tu 09/11	Taylor's theorem in one dimension	1.1
5	Th 09/13	Taylor's theorem in higher dimensions	1.1
6, #2	Tu 09/18	Interpolation: existence and uniqueness	3.1
	We 09/19	12:00-01:00 CIRC Software Workshop: Basic Programming in MATLAB	ENGR 122
7	Th 09/20	Interpolation: Newton divided differences, error theorem	3.2
8, #3	Tu 09/25	Interpolation: problems with equidistant nodes and Matlab	3.5
9	Th 09/27	Numerical differentiation: Taylor's theorem and methods	5.7
10, #4	Tu 10/02	Numerical differentiation: errors and effect of round-off	5.7
	We 10/03	12:00-01:00 CIRC Software Workshop: 3-D Graphics in MATLAB	ENGR 122
11	Th 10/04	Numerical integration: Newton-Cotes formulas	5.1
12	Tu 10/09	Numerical integration: composite quadrature rules	5.2
13, #5	Th 10/11	Numerical integration: Gaussian quadrature	5.3
14, #6a	Tu 10/16	Approximation: concepts and theory	4.1-4.3
	We 10/17	12:00-01:00 CIRC Software Workshop: Advanced Programming in MATLAB	ENGR 122
15	Th 10/18	Approximation: orthogonal polynomials	4.4
16	Tu 10/23	Approximation: relation to interpolation	4.5-4.7
17, #6b	Th 10/25	Midterm Exam
18	Tu 10/30	Rootfinding: basic methods	2.0-2.3
19	Th 11/01	Rootfinding: theory of fixed-point methods	2.5
20, #7	Tu 11/06	Systems of nonlinear equations: Newton's method	2.10, 2.12
21	Th 11/08	Systems of nonlinear equations: Newton's method in practice	2.11
22, #8	Tu 11/13	Numerical o.d.e.'s: problem and mathematical theory	6.1
23	Th 11/15	Class cancelled due to snow
24	Tu 11/20	Numerical o.d.e.'s: basic methods, local truncation error	6.2-6.5
	Th 11/22	Thanksgiving Holiday
25	Tu 11/27	Numerical o.d.e.'s: accuracy and stability	6.2
26	Th 11/29	Numerical o.d.e.'s: convergence of the Euler method	6.2
27, #9	Tu 12/04	Numerical o.d.e.'s: method survey	6.8-6.10
28	Th 12/06	Computer numbers: IEEE-standard for floating-point numbers	1.2
29	Tu 12/11	Computer numbers: IEEE-standard for floating-point numbers	1.2
	Tu 12/18	03:30-05:30 Final Exam Note the date and time!