Methods in Applied Math -- 2950
Fall 2017
Monday/Wednesday/Friday 11:00-11:50
Benedum G36
Bard Ermentrout
Textbook
Principles of Applied Mathematics, James Keener.
Grading
The grades are based on the homework which will be given roughly weekly.
Syllabus
- Week 1 Chapter 1.1,1.2,1.3
- Homework 1 Due Sept 8 1.1:1,2,3,6,9c; 1.2:3,4;1.4:4
- Here is the list of problems from the new edition of the book
- Week 2 Chapter 1.4,1.5 Homework 2 Due Sept 15 Here it is!
- Homework 3 Due Friday sept 29
- 2.2 3 Find a polynomial whose Fourier representation on x in [0,2 pi] has coefficients that decay like 1/n^3
- 2.2 4 Find the best L1 linear approximation of exp(x) on [0,1]...(see the rest in Keener)
- 2.2 8 b (about Cheyshev polys)
- 2.2 9 (orthonormal poly)
- 2.2 14 (convolution theorem)
- 3.1 1
- 3.2 3abc
- HOMEWORK. Due Oct 13
- chapter 3.4 1a,2 abcd,6
- 3.6 2,3,5
- chapter 4.1 1a,2,3,5,6,9
- suppose f(x) is continuous and differentiable at 0 and f'(0) is nonzero. evaluate delta(f(x)) in terms of delta(x) in the sense of distributions
- We will do 5.1-5.2 this week. Homework due November 3
- 4.2: 1,3,4
- 4.3: 1,3,5,9,10
- 5.1: 1,2,9,10,12
- 5.2: 7,8