Chapter 1
Fourier Series
Jean Baptiste Joseph Fourier (1768-1830) was a French mathematician, physicist and engineer, and the founder of Fourier analysis. In 1822 he made the
claim, seemingly preposterous at the time, that any function of t, continuous
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Name:
Math 4567. Midterm Exam II (solutions)
March 10, 2010
There are a total of 100 points on this 55 minute exam. To get full credit for
a problem you must show the details of your work. Answers unsupported by
an argument will get little credit. A stand
Name:
Math 4567. Midterm Exam III (take home) Solutions
April 23, 2010
There are a total of 100 points and 6 problems on this take home exam.
Problem
Score
1.
2.
3.
4.
5.
6.
Total:
1
1. Chapter 5, page 113, Problem 2. (20 points). A solid body 40
cm in di
Name:
Math 4567. Midterm Exam I (Solutions)
February 19, 2010
There are a total of 100 points on this 55 minute exam. To get full credit for
a problem you must show the details of your work. Answers unsupported by
an argument will get little credit. A sta
Name:
Math 4567. Homework Set # VII
April 23, 2010
Chapter 8, (page 201, problems 1,2,3), (page 209, problems 2,4), (page 215,
problem 3), (page 221, problem 2), (page 228, problem 1), Chapter 6 (page
157, problem 2). (page 162, problem 1)
Chapter 8 page
Name:
Math 4567. Homework Set # VI
April 2, 2010
Chapter 5, page 113, problem 1), (page 122, problem 1), (page 128, problem
2), (page 133, problem 4), (page 136, problem 1). (page 146, problem 1),
Chapter 8 (page 209, problem 1)
Chapter 5 page 113, Proble
Name:
Math 4567. Homework Set # 4 Solutions
February 26, 2010
Chapter 2 (page 42, problem 8), (page 54, problems 1,5,6,7), Chapter 3 (page
63, problem 3), (page 71, problems 1,2,8), (page 76, problem 1).
Chapter 2, page 42, Problem 8 From the Fourier seri
Chapter 1
The Fourier Transform
1.1
Fourier transforms as integrals
There are several ways to dene the Fourier transform of a function f : R
C. In this section, we dene it using an integral representation and state
some basic uniqueness and inversion pro