Math 4329 (23993), Numerical Analysis

Instructor: Granville Sewell

Office hours: MW 9-10am (suspended for now), BELL 200

Prerequisites: Math 3323 (or 4326) and working knowledge of a high level programming language

The text is "Elementary Numerical Analysis, Third Edition" Atkinson and Han, John Wiley & Sons, 2003.

Problem list may change during semester, so re-check before starting each assignment.

Topics covered
Topics section HW assignment due
Taylor Polynomials 1.1 2ac,3ab Jan 29
1.2 1,2 Jan 29
Error and Computer Arithmetic 2.1 1bde (by hand) Feb 3
2.2 1b,5acde,6ch Feb 3
Rootfinding 3.1 1d*,10,14 Feb 10
3.2 3,11*(both roots; calc. exp. order) Feb 10
3.3 6*(both roots; calc. exp. order) Feb 17
3.4 8,11,12,16 Feb 17
3.5 3 (note typo) Feb 17
Test I Chapters 1,2,3 Feb 19
Interpolation and Approximation 4.1 1,8 Feb 26
4.2 1,14 March 4
4.3 13,15 March 4
Numerical Integration and Differentiation 5.1 2*(N=8,16),11,12 March 11
5.2 16 March 30
5.3 repeat 5.1, problem 2, using Gauss 3 point formula* March 30
5.4 1* March 30
Solution of Systems of Linear Equations 6.1 1,2 April 6
6.3 6c April 6
6.6 4*(don't calculate ratios),12 April 15
Numerical Linear Algebra 7.2 1ac,16a*c*(ignore last two sentences),17f* April 15
7.3 3* April 22
Ordinary Differential Equations 8.2 1b* April 22
8.5 2b*,9* April 29
8.6 1b* (take first step using Euler; no Richardson error estimate) April 29
8.7 3a,7a* May 5

Topics covered
Topics	section	HW assignment	due
Taylor Polynomials	1.1	2ac,3ab	Jan 29
	1.2	1,2	Jan 29
Error and Computer Arithmetic	2.1	1bde (by hand)	Feb 3
	2.2	1b,5acde,6ch	Feb 3
Rootfinding	3.1	1d*,10,14	Feb 10
	3.2	3,11*(both roots; calc. exp. order)	Feb 10
	3.3	6*(both roots; calc. exp. order)	Feb 17
	3.4	8,11,12,16	Feb 17
	3.5	3 (note typo)	Feb 17
Test I	Chapters 1,2,3		Feb 19
Interpolation and Approximation	4.1	1,8	Feb 26
	4.2	1,14	March 4
	4.3	13,15	March 4
Numerical Integration and Differentiation	5.1	2*(N=8,16),11,12	March 11
	5.2	16	March 30
	5.3	repeat 5.1, problem 2, using Gauss 3 point formula*	March 30
	5.4	1*	March 30
Solution of Systems of Linear Equations	6.1	1,2	April 6
	6.3	6c	April 6
	6.6	4*(don't calculate ratios),12	April 15
Numerical Linear Algebra	7.2	1ac,16ac(ignore last two sentences),17f*	April 15
	7.3	3*	April 22
Ordinary Differential Equations	8.2	1b*	April 22
	8.5	2b,9	April 29
	8.6	1b* (take first step using Euler; no Richardson error estimate)	April 29
	8.7	3a,7a*	May 5

* = computer problem requiring MATLAB

Grades

70% based on homework
- homework problems involving MATLAB (*) can be run in the Computer Lab in Bell Hall during open hours. Turn in printout (only) of MATLAB program and output. Tutorials on using MATLAB are here and here . Information on running MATLAB at my.apps.utep.edu is here. You can also get a free copy of MATLAB for your own computer here!
- homeworks are individual, not group, projects; and don't use the book MATLAB programs. Please don't turn in copies of other students' homework, I will notice.
- homework will be collected every due date, and selected problems will be graded
- homeworks can be submitted by e-mail (sewell@utep.edu, PDF, JPG or Word files, as few files as possible!) or in person (Bell Hall 200, under the door if I'm not in---note: Bell Hall is currently locked).
- late homework not accepted.
30% based on Test I