Mathematical Modeling and Numerical Methods
Math 350, Spring 2008
This course explores the process of building, analyzing, and
interpreting mathematical descriptions of physical processes.
Topics may include feature extraction, partial differential
equations, neural networks, statistical models. The course
will involve some computer programming, so previous programming
experience is helpful, but not required. Prerequisite: Math 300
(Linear Algebra)
Coursework
- Jan 14-18: Work through Chapters 2 and start 3.
- Tuesday: Problems 2, 5, 7 (p. 16) and read to page 29
- Thursday: Exercise 1, p. 29 and Exercise 3, p. 30
- Friday: Intro to Matlab (Meet in the Computer Lab)
- Jan 21-25
- Tuesday:
- Thursday: Exercises 1-5, pg. 38
- Friday: Exercises 1-5, p. 44
- Jan 28-Feb 1: Finish up Chapter 3 (Learning), Start Chapter 5 (Linear Algebra)
- Tuesday: Last page of notes, code up the classification (Use
the code below as a template)
- Thursday: Exercises 1-7, p 75 (in Ch 5)
- Friday:
Take Home Quiz (Quiz 2)
Right-click and "Save Link As...". Print your solution (we'll talk
about how in class on Friday) and turn it in on/before class on
Tuesday.
- Feb 4-8: Finish up Chapter 5 (Linear Algebra)
- Tuesday: Finish Problem 6, p. 76. Do Exercise 19, p. 79
(this is a Matlab exercise). Be sure you understand the code!
- Thursday: Homework on
this handout. Also, read through to p. 87
- Friday: Appendix on Derivatives (See the link to the text above,
also handed out in class). Work through the 8 exercises, p. 240-241.
- Feb 11-15: We'll be working through Chapter 4, Statistics
- Tuesday: Derivatives, p. 240-1 (We're a little behind).
- Thursday: Statistics (Chapter 4), p. 12-15 (Problems 1-12)
- Friday: HW: Finish up the stats stuff. Quiz 4 handouts below:
- Feb 18-22: Finish Chapter 4, Review for Exam I
- Tuesday:
- Thursday: Review for Exam I
- Friday: Exam I. See the section below for the take home
exam materials (Due Tuesday at the beginning of class)
- Feb 25-29: The Best Basis, Eigenfaces
- Mar 3-7:
- Spring Break
- Mar 24 - Mar 28: Data Clustering.
- Mar 31 - Apr 4:
- Apr 7 - Apr 11: Radial Basis Functions
- Tuesday: HW is p. 173: 3, 4, 5, p. 176: 1-3; p. 179 1-6 (if we get there)
Class Example Links:
- Thursday: HW: Continue with previous HW.
Class Example Links:
- Friday: Quiz 9 is here
Here is the new code from today's session:
- Apr 14 - Apr 18: Nonlinear Networks
- Apr 21 - Apr 25
- Apr 28 - May 2:
- May 6: No class- Work on the Final Exam.
- May 8th: Final Exam due at 5PM- No exceptions.