Math 4329 (26956), Numerical Analysis

TR 9:00-10:20, EDUC 311

Office hours: MW 9:30-10:20, TR 8:00-8:50, 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 Jan 27
1.2 1,2 Jan 27
Error and Computer Arithmetic 2.1 1bde Jan 29
2.2 1b,5acde,6ch Jan 29
Rootfinding 3.1 1d*,10,14 Feb 5
3.2 3,11*(both roots; calc. exp. order) Feb 5
3.3 6*(both roots; calc. exp. order) Feb 12
3.4 8,11,12,16 Feb 12
3.5 3 (note typo) Feb 12
Test I Chapters 1,2,3 Feb 17
Interpolation and Approximation 4.1 1,8 Feb 24
4.2 1,14 March 3
4.3 13,15 March 3
Numerical Integration and Differentiation 5.1 2*(N=8,16),11,12 March 17
5.2 16 March 19
5.3 repeat 5.1, problem 2, using Gauss 3 point formula* March 19
5.4 1* March 19
Solution of Systems of Linear Equations 6.1 1 March 26
6.3 5*(use gel.m below),6c March 26
Test II Chapters 4,5,6 April 2
6.5 1c* (i,ii,iii only; H-12 with x=(1,1,...,1)) April 14
6.6 1a*,12 April 16
Numerical Linear Algebra 7.2 1ac,16a*c* (don't est. lambda₂) April 16
7.3 3* April 23
Ordinary Differential Equations 8.2 1b* April 23
8.5 2b* April 30
8.6 1b* (no Richardson error estimate) April 30
8.7 3b,7b* May 7
Final comprehensive May 12, 10am

Topics covered
Topics	section	HW assignment	due
Taylor Polynomials	1.1	2ac,3ab	Jan 27
	1.2	1,2	Jan 27
Error and Computer Arithmetic	2.1	1bde	Jan 29
	2.2	1b,5acde,6ch	Jan 29
Rootfinding	3.1	1d*,10,14	Feb 5
	3.2	3,11*(both roots; calc. exp. order)	Feb 5
	3.3	6*(both roots; calc. exp. order)	Feb 12
	3.4	8,11,12,16	Feb 12
	3.5	3 (note typo)	Feb 12
Test I	Chapters 1,2,3		Feb 17
Interpolation and Approximation	4.1	1,8	Feb 24
	4.2	1,14	March 3
	4.3	13,15	March 3
Numerical Integration and Differentiation	5.1	2*(N=8,16),11,12	March 17
	5.2	16	March 19
	5.3	repeat 5.1, problem 2, using Gauss 3 point formula*	March 19
	5.4	1*	March 19
Solution of Systems of Linear Equations	6.1	1	March 26
	6.3	5*(use gel.m below),6c	March 26
Test II	Chapters 4,5,6		April 2
	6.5	1c* (i,ii,iii only; H-12 with x=(1,1,...,1))	April 14
	6.6	1a*,12	April 16
Numerical Linear Algebra	7.2	1ac,16ac (don't est. lambda₂)	April 16
	7.3	3*	April 23
Ordinary Differential Equations	8.2	1b*	April 23
	8.5	2b*	April 30
	8.6	1b* (no Richardson error estimate)	April 30
	8.7	3b,7b*	May 7
Final	comprehensive		May 12, 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. 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)