Math 366, Winter '04
ANNOUNCEMENT (4/28/04):
I'll have some office hours before the final exam: 1-3 PM Monday and
Tuesday.
ANNOUNCEMENT (4/26/04):
The final exam will be in our usual classroom (HH 125), not the
room across from the math office!
Old announcements
Assignments
Instructor:
Jeff Diller
(click for contact info, office hours, etc.)
Time and place: MWF 10:40-11:30, Hayes-Healy 125.
Texts:
-
Principles of Mathematical Analysis by Walter Rudin.
-
Real Analysis II notes by Richard Beals. I'll get copies of
these to you later on in the course.
Other references: (all on reserve in the math
library)
-
The Way of Analysis by Robert Strichartz. This book covers more
or less the same material as Rudin but at much greater length and
in a different order.
-
Calculus on Manifolds by Michael Spivak. Good general
purpose book concerning analysis in several variables.
-
Real Analysis by H. L. Royden. A standard graduate text with
a good, thorough treatment of measure theory and integration.
What we'll cover: (more or less in order)
- Review. This is up to you--if you (collectively) ask to revisit some
of the material from the first term, I'll be happy to do that.
- Differentiation for functions of several variables (chapter 9 in Rudin).
- Integration of functions of several variables (first four sections of
chapter 10 in Rudin).
- Lebesgue measure and integration on R (chapter I in
Beals notes).
- Fourier series (last section of chapter 7 in Rudin, chapter II in Beals
notes).
- Time permitting (big if), Differential forms and Stokes Theorem
(rest of chapter 10 in Rudin).
How you will be evaluated:
-
Homework, presentations, and general participation in the class: 40% of your grade.
- Two midterm exams: 20% each. One will cover
functions of several variables and one will cover Lebesgue theory and
Fourier series. It's a small class, so we'll settle dates and times
once the semester is under way.
- Final exam 20%. Comprehensive.