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 | section | HW assignment | due |
---|---|---|---|
Taylor Polynomials | 1.1 | 2ac,3ab | Jan 29 |
1.2 | 1,2 | Jan 29 | |
Error and Computer Arithmetic | 2.1 | 1bde (by hand) | Feb 3 |
2.2 | 1b,5acde,6ch | Feb 3 | |
Rootfinding | 3.1 | 1d*,10,14 | Feb 10 |
3.2 | 3,11*(both roots; calc. exp. order) | Feb 10 | |
3.3 | 6*(both roots; calc. exp. order) | Feb 17 | |
3.4 | 8,11,12,16 | Feb 17 | |
3.5 | 3 (note typo) | Feb 17 | |
Test I | Chapters 1,2,3 | Feb 19 | |
Interpolation and Approximation | 4.1 | 1,8 | Feb 26 |
4.2 | 1,14 | March 4 | |
4.3 | 13,15 | March 4 | |
Numerical Integration and Differentiation | 5.1 | 2*(N=8,16),11,12 | March 11 |
5.2 | 16 | March 30 | |
5.3 | repeat 5.1, problem 2, using Gauss 3 point formula* | March 30 | |
5.4 | 1* | March 30 | |
Solution of Systems of Linear Equations | 6.1 | 1,2 | April 6 |
6.3 | 6c | April 6 | |
6.6 | 4*(don't calculate ratios),12 | April 15 | |
Numerical Linear Algebra | 7.2 | 1ac,16a*c*(ignore last two sentences),17f* | April 15 |
7.3 | 3* | April 22 | |
Ordinary Differential Equations | 8.2 | 1b* | April 22 |
8.5 | 2b*,9* | April 29 | |
8.6 | 1b* (take first step using Euler; no Richardson error estimate) | April 29 | |
8.7 | 3a,7a* | May 5 | |
* = 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 |
Chapters 6,7,8 MATLAB examples
Chapters 6,7,8 review problems (part A)
Chapters 6,7,8 review problems (part B)
The following videos were made for other courses, so they contain some material we don't cover in MATH 4329.
Section 6.3 Watch 0:00-7:20.
Section 6.6 Watch 7:20-14:30
Section 7.2 Watch 0:00-14:05.
Section 7.3 Watch 1:15-4:00
Sections 8.2, 8.6 Watch 0:00-3:15, 22:30-29:31.
Section 8.5 Watch 15:15-17:20.
Youtube videos
Section 6.6 (Jacobi and Gauss-Seidel)
Section 7.3 (Newton's method for systems)
Section 8.5 (Taylor Series method)
Section 8.5 (Runge-Kutta method)
MARCS is providing tutoring on-line now, here
Old Tests
Spring 2011: Test I | Test II | Final
Fall 2012: Test I | Test II | Final
Spring 2014: Test I | Test II | Test III | Final
Fall 2014: Test I | Test II | Final
Spring 2015: Test I | Test II | Final
Fall 2015: Test I | Test II | Final
Spring 2016: Test I | Test II | Final
Fall 2018: Test I | Test II | Final
Spring 2020: Test I
Solutions
Note: Drop Deadline is May 7
gel.m (for Problem 1c, section 6.5)
Logistic Map Applet (see Problem 12, section 3.4)