Numerical Analysis (Math 465/565)
This course will introduce you to the fundamental ideas in the analysis of numerical methods.
- Basic course information
- Recommended and suggested textbooks
- Homework Assignments
- Matlab tutorials
- Grading policy
Send me an e-mail
Please send me an e-mail at email@example.com so that I can compile an e-mail list for the class. At the very least, include a subject header that says "Math 465/565". You may leave the message area blank, if you wish, or send me a short note about what you hope to get out of this course.
Basic course information
|Instructor||Prof. Donna Calhoun|
|Office Hours||Wednesday 10AM-12PM and 1PM-3PM|
|Prerequesites||Math 301 or Math 333|
Recommended and suggested textbooks
- An Introduction to Numerical Analysis, 2nd Edition, by Kendall Atkinson. Wiley Press, (1989) (suggested).
- A Friendly Introduction to Numerical Analysis, by Brian Bradie. Pearson Prentice Hall, (2006) (suggested).
- Analysis of Numerial Methods, by Eugene Isaacson and Herbert Keller. Dover Books on Mathematics, (1994) (suggested).
- Numerical Computing with Matlab, by Cleve Moler. Mathworks, Inc., (2004) (suggested).
- Learning Matlab, by Toby A. Driscoll. The Society for Industrial and Applied Mathematics, (2009) (suggested).
|Week #1 (Aug. 26)||
Tuesday -- Introduction to Numerical Analysis
|Week #2 (Sept. 2)||
Tuesday -- Fixed point iteration
Thursday -- Fixed point iteration (continued)
|Week #3 (Sept. 9)||
Tuesday -- Order and rates of convergence
Thursday -- Order and rates of convergence (continued)
|Week #4 (Sept. 16)||
Tuesday -- Newton's Method
Thursday -- Secant Method
|Week #5 (Sept. 23)||
Tuesday -- Linear Systems
|Week #6 (Sept. 30)||
Tuesday -- Review of homework #1
Thursday -- LU Decomposition code
|Week #7 (Oct. 7)||
Tuesday -- Partial Pivoting
Thursday -- Error Analysis with partial pivoting
|Week #8 (Oct. 14)||
Tuesday -- Error analysis of Gaussian Elimination
Thursday -- Midterm #1
|Week #9 (Oct. 21)||
Tuesday -- Work on Midterm exam
Thursday -- Work on Midterm exam
|Week #10 (Oct. 28)||
Tuesday -- Introduction to iterative methods
|Week #11 (Nov. 4)||
Tuesday -- Splitting Methods (cont)
|Week #12 (Nov. 11)||
Tuesday -- Polynomial interpolation
|Week #13 (Nov. 18)||
Tuesday -- Barycentric Formula, Interpolation Error
Thursday -- Chebyshev Polynomials
|Week #14 (Dec. 2)||
Tuesday -- Chebyshev and Legendre Polynomials
|Week #15 (Dec. 9)||
Tuesday -- Quadrature rules - convergence theory
Thursday -- In class practice exam
Homework projects are designed to enforce mathematical concepts and to build and improve Matlab programming skills. Homeworks will be due roughly every two weeks.
Due Sept. 12
Due Oct. 1
Due Oct. 15
Due Nov. 7
Due Dec. 5
We will have one midterm and one final
|Midterm Exam||Date October 17
This exam will be open notes and open book
|Final Exam||Date Tuesday December 17th, 9:30-11:30
The final exam will be comprehensive
You can find the Final Exam calendar here.
Below are a series of tutorials that should help you become familar with Matlab syntax
Homeworks and quizzes will count for 25% of your final grade, and each of the midterms and the final will be 25% each of your final grade.