Math 4329 (22507), Numerical Analysis

MWF 10:30, LART 222

Office hours: MWF 9:30, BELL 200

Prerequisites: Math 3323 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 26
1.2 1,2,6 Jan 26
Error and Computer Arithmetic 2.1 1bde Jan 31
2.2 1b,5acde,6ch Jan 31
Rootfinding 3.1 1d*,10,14 Feb 11 (note change)
3.2 3,11*(both roots; calc. exp. order) Feb 11 (note change)
3.3 6*(both roots; calc. exp. order) Feb 14
3.4 8,11,16 Feb 14
3.5 3 (note typo) (cancelled)
Test I Chapters 1,2,3 Feb 16
Interpolation and Approximation 4.1 1,8,10 Feb 23
4.2 1,10,14 Feb 28
4.3 13,15 Feb 28
Numerical Integration and Differentiation 5.1 2*,11,12 March 7
5.2 2,16 March 21
5.3 2* (I3 only; vary h) March 21
5.4 1* March 21
Solution of Systems of Linear Equations 6.1 1 March 28
6.3 5*(use gel.m below),6a March 28
6.5 1c* (i,ii,ii only; H-12, not H-5) April 4
6.6 1a*,12 April 4
Test II Chapters 4,5,6 April 6
Numerical Linear Algebra 7.2 1ac,16a*c* (don't est. &lambda₂) April 15
7.3 3* April 20
Ordinary Differential Equations 8.2 1b* April 20
8.5 2b* April 27
8.6 1b* (no Richardson error estimate) April 27
8.7 3a,7a* May 4
8.8 1 May 4
Final comprehensive May 13, 10am

Topics covered
Topics	section	HW assignment	due
Taylor Polynomials	1.1	2ac,3ab	Jan 26
	1.2	1,2,6	Jan 26
Error and Computer Arithmetic	2.1	1bde	Jan 31
	2.2	1b,5acde,6ch	Jan 31
Rootfinding	3.1	1d*,10,14	Feb 11 (note change)
	3.2	3,11*(both roots; calc. exp. order)	Feb 11 (note change)
	3.3	6*(both roots; calc. exp. order)	Feb 14
	3.4	8,11,16	Feb 14
	3.5	3 (note typo)	(cancelled)
Test I	Chapters 1,2,3		Feb 16
Interpolation and Approximation	4.1	1,8,10	Feb 23
	4.2	1,10,14	Feb 28
	4.3	13,15	Feb 28
Numerical Integration and Differentiation	5.1	2*,11,12	March 7
	5.2	2,16	March 21
	5.3	2* (I3 only; vary h)	March 21
	5.4	1*	March 21
Solution of Systems of Linear Equations	6.1	1	March 28
	6.3	5*(use gel.m below),6a	March 28
	6.5	1c* (i,ii,ii only; H-12, not H-5)	April 4
	6.6	1a*,12	April 4
Test II	Chapters 4,5,6		April 6
Numerical Linear Algebra	7.2	1ac,16ac (don't est. &lambda₂)	April 15
	7.3	3*	April 20
Ordinary Differential Equations	8.2	1b*	April 20
	8.5	2b*	April 27
	8.6	1b* (no Richardson error estimate)	April 27
	8.7	3a,7a*	May 4
	8.8	1	May 4
Final	comprehensive		May 13, 10am

* = 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.
- 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, but with emphasis on Chapters 7,8)