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!

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.