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 | section | HW assignment | due |
---|---|---|---|
Taylor Polynomials | 1.1 | 2ac,3ab | Jan 28 |
1.2 | 1,2,6 | Jan 28 | |
Error and Computer Arithmetic | 2.1 | 1bde | Feb 2 |
2.2 | 1b,5,6ch | Feb 2 | |
Rootfinding | 3.1 | 1d*,10,14 | Feb 9 |
3.2 | 3,11*(both roots) | Feb 9 | |
3.3 | 6*(both roots) | Feb 16 | |
3.4 | 8,11,16 | Feb 16 | |
3.5 | 3 | Feb 16 | |
Test I | Chapters 1,2,3 | Feb 18 | |
Interpolation and Approximation | 4.1 | 1,8,10 | Feb 25 |
4.2 | 1,10,14 | March 2 | |
4.3 | 1c,13 | March 2 | |
Numerical Integration and Differentiation | 5.1 | 2*,11,12 | March 9 |
5.2 | 2,16 | March 9 | |
5.3 | 2* (I3 only) | March 23 | |
5.4 | 1* | March 23 | |
Solution of Systems of Linear Equations | 6.1 | 1 | March 30 |
6.3 | 5*(use gel.m below),6a | March 30 | |
6.5 | 1c* (i,ii,ii only; H-12, not H-5) | April 6 | |
6.6 | 1a*,12 | April 6 | |
Test II | Chapters 4,5,6 | April 8 | |
Numerical Linear Algebra | 7.2 | 1ac,16ac* | April 17 |
7.3 | 3* | April 22 | |
Ordinary Differential Equations | 8.2 | 1b* | April 22 |
8.5 | 2b* | April 29 | |
8.6 | 1b* | April 29 | |
8.7 | 3a,7a* | May 6 | |
8.8 | 1 | May 6 | |
Final | comprehensive | May 15, 10am | |
* = 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
Note: Drop Deadline is April 3
Logistic Map Applet (cf. prob 12, p108)
gel.m (for Problem 5, section 6.3)