Math 4329 (11835), Numerical Analysis

MW 13:30-14:50, LART 207

Office hours: MW 8:00-8:50, T 9:00-9:50, 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 Sept 2
2.2 1b,5acde,6ch Sept 2
Rootfinding 3.1 1d*,10,14 Sept 14
3.2 3,11*(both roots; calc. exp. order) Sept 14
3.3 6*(both roots; calc. exp. order) Sept 21
3.4 8,11,12,16 Sept 21
3.5 3 (note typo) Sept 21
Test I Chapters 1,2,3 Sept 23
Interpolation and Approximation 4.1 1,8 Sept 30
4.2 1,14 Oct 7
4.3 13,15 Oct 7
Numerical Integration and Differentiation 5.1 2*(N=8,16),11,12 Oct 14
5.2 16 Oct 19
5.3 repeat 5.1, problem 2, using Gauss 3 point formula* Oct 19
5.4 1* Oct 19
Solution of Systems of Linear Equations 6.1 1 Oct 26
6.3 5*(use gel.m below),6c Oct 26
Test II Chapters 4.1-6.3 Oct 28
6.5 1c* (use gel.m; i,ii,iii only; H-12 with x=(1,1,...,1)) Nov 9
6.6 1a*,12 Nov 11
Numerical Linear Algebra 7.2 1ac,16a*c* (don't est. lambda₂) Nov 11
7.3 3* Nov 18
Ordinary Differential Equations 8.2 1d* Nov 18
8.5 2d* Nov 25
8.6 1d* (no Richardson error estimate) Nov 25
8.7 3a,7a* Dec 2
Final comprehensive Dec 9, 4pm

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	Sept 2
	2.2	1b,5acde,6ch	Sept 2
Rootfinding	3.1	1d*,10,14	Sept 14
	3.2	3,11*(both roots; calc. exp. order)	Sept 14
	3.3	6*(both roots; calc. exp. order)	Sept 21
	3.4	8,11,12,16	Sept 21
	3.5	3 (note typo)	Sept 21
Test I	Chapters 1,2,3		Sept 23
Interpolation and Approximation	4.1	1,8	Sept 30
	4.2	1,14	Oct 7
	4.3	13,15	Oct 7
Numerical Integration and Differentiation	5.1	2*(N=8,16),11,12	Oct 14
	5.2	16	Oct 19
	5.3	repeat 5.1, problem 2, using Gauss 3 point formula*	Oct 19
	5.4	1*	Oct 19
Solution of Systems of Linear Equations	6.1	1	Oct 26
	6.3	5*(use gel.m below),6c	Oct 26
Test II	Chapters 4.1-6.3		Oct 28
	6.5	1c* (use gel.m; i,ii,iii only; H-12 with x=(1,1,...,1))	Nov 9
	6.6	1a*,12	Nov 11
Numerical Linear Algebra	7.2	1ac,16ac (don't est. lambda₂)	Nov 11
	7.3	3*	Nov 18
Ordinary Differential Equations	8.2	1d*	Nov 18
	8.5	2d*	Nov 25
	8.6	1d* (no Richardson error estimate)	Nov 25
	8.7	3a,7a*	Dec 2
Final	comprehensive		Dec 9, 4pm

* = computer problem requiring MATLAB

Grades

20% 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 .
- homeworks are individual, not group, projects
- 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
20% based on Test II
40% based on Final (comprehensive)