Math 4329 (17468), Numerical Analysis

MW 13:30, LART 307

Office hours: MTWR 12:30, 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 Aug 28
1.2 1,2,6 Aug 28
Error and Computer Arithmetic 2.1 1bde Aug 30
2.2 1b,5,6ch Aug 30
Rootfinding 3.1 1d*,10,14 Sept 11
3.2 3,11* Sept 11
3.3 6* Sept 18
3.4 8,11,16 Sept 18
3.5 3 Sept 18
Test I Chapters 1,2,3 Sept 20
Interpolation and Approximation 4.1 1,8,10 Sept 27
4.2 1,10,14 Oct 2
4.3 1c,13 Oct 2
Numerical Integration and Differentiation 5.1 2*,11,12 Oct 9
5.2 2,16 Oct 9
5.3 2* (I2,I3,I4 only) Oct 16
5.4 1* Oct 16
Solution of Systems of Linear Equations 6.1 1 Oct 23
6.3 5*,6a Oct 23
6.5 1c* (H-12, not H-5) Oct 30
6.6 1a*,12 Oct 30
Test II Chapters 4,5,6 Nov 1
Numerical Linear Algebra 7.2 1ac,16ac* Nov 8
7.3 3* Nov 15
Ordinary Differential Equations 8.2 1b* Nov 15
8.5 2b* Nov 22
8.6 1b* Nov 22
8.7 3a,7a* Nov 29
8.8 1 Nov 29
Final comprehensive Dec 6 (4pm)

Topics covered
Topics	section	HW assignment	due
Taylor Polynomials	1.1	2ac,3ab	Aug 28
	1.2	1,2,6	Aug 28
Error and Computer Arithmetic	2.1	1bde	Aug 30
	2.2	1b,5,6ch	Aug 30
Rootfinding	3.1	1d*,10,14	Sept 11
	3.2	3,11*	Sept 11
	3.3	6*	Sept 18
	3.4	8,11,16	Sept 18
	3.5	3	Sept 18
Test I	Chapters 1,2,3		Sept 20
Interpolation and Approximation	4.1	1,8,10	Sept 27
	4.2	1,10,14	Oct 2
	4.3	1c,13	Oct 2
Numerical Integration and Differentiation	5.1	2*,11,12	Oct 9
	5.2	2,16	Oct 9
	5.3	2* (I2,I3,I4 only)	Oct 16
	5.4	1*	Oct 16
Solution of Systems of Linear Equations	6.1	1	Oct 23
	6.3	5*,6a	Oct 23
	6.5	1c* (H-12, not H-5)	Oct 30
	6.6	1a*,12	Oct 30
Test II	Chapters 4,5,6		Nov 1
Numerical Linear Algebra	7.2	1ac,16ac*	Nov 8
	7.3	3*	Nov 15
Ordinary Differential Equations	8.2	1b*	Nov 15
	8.5	2b*	Nov 22
	8.6	1b*	Nov 22
	8.7	3a,7a*	Nov 29
	8.8	1	Nov 29
Final	comprehensive		Dec 6 (4pm)

* = computer problem requiring MATLAB

Grades

20% based on homework
- homework problems involving MATLAB (*) can be run in the Computer Lab in Bell Hall, or CRBL 404, during open hours. Turn in printout (only) of MATLAB program and output.
- homework will be collected every due date, and randomly selected problems will be graded
- late homework not accepted, even if absence is excused
20% based on Test I
- no graphing calculators allowed during tests
- 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

90-100%	guaranteed A
80-89%	guaranteed B or better
70-79%	guaranteed C or better
60-69%	guaranteed D or better
below 60%	no guarantees

Old Tests

Fall 2006: Test I | Test II | Final

Note: Drop Deadline is Oct 27

Logistic Map Applet (cf. prob 12, p108)

gel.m (for Problem 5, section 6.3)

Graduate Students Only Graduate students are expected to solve two of the following three problems from chapter 9 (Partial Differential Equations, not covered in class), which include one elliptic, one parabolic and one hyperbolic PDE: section 9.1, problem 7; 9.2, problem 6; 9.3, problem 9. Solve two of these using my finite element PDE solver, PDE2D. For each problem, graphical output of the solution should be produced. Problems are due the last day of classes (Nov 29).