Analysis II (Math 318)
Spring 2011
1
Technicalities
Instructor:
Clay Shonkwiler (
[email protected]
)
Office:
KINSC H210 (phone: 795.3367)
Course web page:
http://www.haverford.edu/math/cshonkwi/teaching/m318s11
Texts:
Understanding Analysis
, by Stephen Abbott and
An Introduction to Lebesgue Integration
and Fourier Series
, by Howard J. Wilcox and David L. Myers
Office Hours:
Monday 1:30–3:00, Wednesday 9:30–10:30, 3:00–5:00, Thursday 1:00–3:00, Friday
1:00–2:00.
Also, the Math Question Center is open Sunday–Thursday from 7:00–9:00 in
KINSC H011; this is a good place to discuss questions with other students, supervised by
faculty.
2
Summary of the Course
The goal of this course is to deepen our understanding of realvalued functions, to deal with some
of the unresolved problems with the Riemann integral, and to develop the theory that underpins
much of the modern study of differential equations, harmonic analysis, and quantum mechanics.
We will try to make sense of the following questions, among others:
•
How can we make sense of infinite series of functions? Why is this a useful thing to attempt?
•
What can be done to correct the shortcomings of the Riemann integral? Can we find a sense
in which the Dirichlet function is integrable?
•
In solving differential equations, it’s often essential to relax our notions of what a function
is—how can these “generalized functions” be made rigorous, and what does this have to do
with signal processing?
3
Homework
There will be weekly homework assignments, typically due Thursday at 5:00.
Homework is an
important part of any math class, as it is impossible to
learn
mathematics without actually
doing
mathematics. The goal of the assignments is to deepen your understanding of the concepts, tools
and techniques discussed in class, as well as to give you the opportunity to practice explaining your
mathematical thinking. The importance of effective communication is vital: knowledge without the
ability to communicate that knowledge is of limited value. As such, to get full credit on a problem
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 Spring '08
 Staff
 Math, Myers Ch., Howard J. Wilcox

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