Math 4329 (14184), Numerical Analysis

TR 13:30-14:50, LART 101

Office hours: MTWR 10:30-11:20, 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 Aug 31
1.2 1,2 Aug 31
Error and Computer Arithmetic 2.1 1bde (by hand) Sept 2
2.2 5acde,6ch Sept 2
Rootfinding 3.1 1f*,10 Sept 9
3.2 2f* (+ calc. experimental order),3 Sept 9
3.3 1f* (+ calc. experimental order) Sept 16
3.4 8,11,12 Sept 16
3.5 3 (note typo) Sept 16
Test I Chapters 1,2,3 Sept 21
Interpolation and Approximation 4.1 7,8 Sept 28
4.2 1,4,15 Oct 5
4.3 14,15 Oct 5
Numerical Integration and Differentiation 5.1 2*(N=8,16),11d,12,13 Oct 12
5.2 16 Oct 12
5.3 repeat 5.1, problem 2, using Gauss 3 point formula* Oct 19
5.4 1a*b* Oct 19
Solution of Systems of Linear Equations 6.1 1,2 Oct 26
6.3 6c Oct 26
Test II Chapters 4.1-6.3 Oct 28
6.6 4* (don't calculate ratios),12 Nov 9
Numerical Linear Algebra 7.2 1ac,16a*c* (ignore last two sentences),17c* Nov 9
7.3 2d* (find one root) Nov 16
Ordinary Differential Equations 8.2 1a* Nov 16
8.5 2a*,9* Nov 23
8.7 3a,7a* Dec 2
Final comprehensive Dec 9, 1pm

Topics covered
Topics	section	HW assignment	due
Taylor Polynomials	1.1	2ac,3ab	Aug 31
	1.2	1,2	Aug 31
Error and Computer Arithmetic	2.1	1bde (by hand)	Sept 2
	2.2	5acde,6ch	Sept 2
Rootfinding	3.1	1f*,10	Sept 9
	3.2	2f* (+ calc. experimental order),3	Sept 9
	3.3	1f* (+ calc. experimental order)	Sept 16
	3.4	8,11,12	Sept 16
	3.5	3 (note typo)	Sept 16
Test I	Chapters 1,2,3		Sept 21
Interpolation and Approximation	4.1	7,8	Sept 28
	4.2	1,4,15	Oct 5
	4.3	14,15	Oct 5
Numerical Integration and Differentiation	5.1	2*(N=8,16),11d,12,13	Oct 12
	5.2	16	Oct 12
	5.3	repeat 5.1, problem 2, using Gauss 3 point formula*	Oct 19
	5.4	1ab	Oct 19
Solution of Systems of Linear Equations	6.1	1,2	Oct 26
	6.3	6c	Oct 26
Test II	Chapters 4.1-6.3		Oct 28
	6.6	4* (don't calculate ratios),12	Nov 9
Numerical Linear Algebra	7.2	1ac,16ac (ignore last two sentences),17c*	Nov 9
	7.3	2d* (find one root)	Nov 16
Ordinary Differential Equations	8.2	1a*	Nov 16
	8.5	2a,9	Nov 23
	8.7	3a,7a*	Dec 2
Final	comprehensive		Dec 9, 1pm

* = computer problem requiring MATLAB

Grades

20% based on homework
- MATLAB is available to UTEP students for free here, and it can also be used through myapps . Turn in printout (only) of MATLAB program and output. Tutorials on using MATLAB are here and here .
- homeworks are individual, not group, projects; and don't use the book MATLAB programs
- homework will be collected every due date, and selected problems will be graded
- late homework not accepted, even if absence is excused
20% based on Test I
- make-up tests will be given only for excused absences
- make-up tests will be different from scheduled tests
- during a test, you cannot leave the room and return
20% based on Test II
40% based on Final (comprehensive)