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 | 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 |
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)