Math 4329 (15039), Numerical Analysis

MW 13:30-14:50, BUSN 321

Office hours: MTW 10:30-11:30, 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 Sept 5
1.2 1,2 Sept 5
Error and Computer Arithmetic 2.1 1bde (by hand) Sept 10
2.2 1b,5acde,6ch Sept 10
Rootfinding 3.1 1d*,10,14 Sept 17
3.2 3,11*(both roots; calc. exp. order) Sept 17
3.3 6*(both roots; calc. exp. order) Sept 24
3.4 8,11,12,16 Sept 24
3.5 3 (note typo) Sept 24
Test I Chapters 1,2,3 Sept 26
Interpolation and Approximation 4.1 1,8 Oct 3
4.2 1,14 Oct 10
4.3 13,15 Oct 10
Numerical Integration and Differentiation 5.1 2*(N=8,16),11,12 Oct 17
5.2 16 Oct 22
5.3 repeat 5.1, problem 2, using Gauss 3 point formula* Oct 22
5.4 1* Oct 22
Solution of Systems of Linear Equations 6.1 1 Oct 29
6.3 6c Oct 29
Test II Chapters 4.1-6.3 Oct 31
6.5 1c* (use gel.m; i,ii,iii only; H-12 with x=(1,1,...,1)) Nov 12
6.6 1a*,12 Nov 14
Numerical Linear Algebra 7.2 1ac,16a*c* (don't est. lambda₂) Nov 14
7.3 3* Nov 21
Ordinary Differential Equations 8.2 1d* Nov 21
8.5 2d* Nov 28
8.6 1d* (no Richardson error estimate) Nov 28
8.7 3a,7a* Dec 5
Final comprehensive Dec 12, 4pm

Topics covered
Topics	section	HW assignment	due
Taylor Polynomials	1.1	2ac,3ab	Sept 5
	1.2	1,2	Sept 5
Error and Computer Arithmetic	2.1	1bde (by hand)	Sept 10
	2.2	1b,5acde,6ch	Sept 10
Rootfinding	3.1	1d*,10,14	Sept 17
	3.2	3,11*(both roots; calc. exp. order)	Sept 17
	3.3	6*(both roots; calc. exp. order)	Sept 24
	3.4	8,11,12,16	Sept 24
	3.5	3 (note typo)	Sept 24
Test I	Chapters 1,2,3		Sept 26
Interpolation and Approximation	4.1	1,8	Oct 3
	4.2	1,14	Oct 10
	4.3	13,15	Oct 10
Numerical Integration and Differentiation	5.1	2*(N=8,16),11,12	Oct 17
	5.2	16	Oct 22
	5.3	repeat 5.1, problem 2, using Gauss 3 point formula*	Oct 22
	5.4	1*	Oct 22
Solution of Systems of Linear Equations	6.1	1	Oct 29
	6.3	6c	Oct 29
Test II	Chapters 4.1-6.3		Oct 31
	6.5	1c* (use gel.m; i,ii,iii only; H-12 with x=(1,1,...,1))	Nov 12
	6.6	1a*,12	Nov 14
Numerical Linear Algebra	7.2	1ac,16ac (don't est. lambda₂)	Nov 14
	7.3	3*	Nov 21
Ordinary Differential Equations	8.2	1d*	Nov 21
	8.5	2d*	Nov 28
	8.6	1d* (no Richardson error estimate)	Nov 28
	8.7	3a,7a*	Dec 5
Final	comprehensive		Dec 12, 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; 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)