Math 4329 (13279), Numerical Analysis

MW 1:30, COTT 201

Office hours: MWF 10:00-11:00, BELL 200

Course Description

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, 2004.

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 1,2,6 Aug 31
Error and Computer Arithmetic 2.1 1bde Sept 2
2.2 1b,5,6ch Sept 2
Rootfinding 3.1 1d*,10,14 Sept 14
3.2 3,11*(both roots) Sept 14
3.3 6*(both roots) Sept 21
3.4 8,11,16 Sept 21
3.5 3 Sept 21
Test I Chapters 1,2,3 Sept 23
Interpolation and Approximation 4.1 1,8,10 Sept 30
4.2 1,10,14 Oct 7
4.3 1c,13 Oct 7
Numerical Integration and Differentiation 5.1 2*,11,12 Oct 12
5.2 2,16 Oct 12
5.3 2* (I3 only) 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),6a Oct 26
6.5 1c* (i,ii,iii only; H-12, not H-5) Nov 2
6.6 1a*,12 Nov 2
Test II Chapters 4,5,6 Nov 4
Numerical Linear Algebra 7.2 1ac,16ac* Nov 11
7.3 3* Nov 18
Ordinary Differential Equations 8.2 1b* Nov 18
8.5 2b* Nov 25
8.6 1b* Nov 25
8.7 3a,7a* Dec 2
8.8 1 Dec 2
Final comprehensive Dec 9, 4pm

* = computer problem requiring MATLAB

Grades

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

Videos

Note: All of these "optional" videos were made for other (graduate) courses, so they contain some material we don't cover in MATH 4329.

Chapters 1,2 Video

Chapter 3 Video

Chapter 4 Video

Chapter 5 Video

Chapter 6 Video (LU decomposition)

Chapter 6 Video (Band solvers and iterative methods)

Chapter 7 Video (Power method for eigenvalues)

Chapter 8 Video (Truncation error, Stability, Adams methods)

Chapter 8 Video (Stiffness, Runge-Kutta methods)

Old Tests

Fall 2006: Test I | Test II | Final

Spring 2009: Test I | Test II | Final

Fall 2009: Test I | Test II | Final

Note: Drop Deadline is Oct 30

Logistic Map Applet (cf. prob 12, p108)

gel.m (for Problem 5, section 6.3)