# Methods in Applied Math -- 2950

## Textbook

Principles of Applied Mathematics, James Keener.

#### Missing pages from book Errata Hints to the exercises

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 6 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 16 (i'll be out of town 9/13) Here it is!
• Homework 3 Due Friday sept 27
• 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 11
• 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 1
• 4.2: 1,3,4
• 4.3: 1,3,5,9,10
• 5.1: 1,2,9,10,12
• 5.2: 7,8