Real Analysis II.
    Fall 2006

    Professor Francis Su
    Office Hours: Olin 1269, Mondays 4pm or by appointment.
    e-mail: [insert my last name] @ math.hmc.edu

    Grader/Tutor: Ben Preskill
    Available for tutoring Mondays 8-10pm at Case (Dorm) Two-Story Lounge or at Case Q1D by appointment.
    e-mail: b[insert his last name] @ hmc.edu

This course is a continuation of Math 131. Topics will include a differentiation review, Riemann-Stieltjes integration, function spaces, equicontinuity, uniform convergence, the inverse and implicit function theorems, differential forms, and an introduction to Lebesgue integration and measure theory.

Download the course syllabus.


Homeworks, due Tuesdays at 11am, in box outside my office (Olin 1269).
You'll need Adobe Acrobat Reader to download these. All HW's refer Rudin's Principles of Mathematical Analysis.

  • HW #1. Due Sep 5. [It's shorter than usual, because of the first week.]
  • HW #2. Due Sep 12.
  • HW #3. Do Chapter 6 (R7, 8, 11, 15 ) Chapter 7 ( 1, 2, 3, 5 ) Due Sep 19.
    [Recall "R" means read, but do not do the problem.]
  • HW #4. Do Chapter 7 ( 6, 7, 8, 9, 11, 15, 16 ) Due Sep 26.
  • HW #5. Due Oct 3.
  • Midterm exam handed out October 6, due October 11 in class.
  • Project description, work division, and selection of date for final presentation (pick date after Thanksgiving) should be e-mailed to me by October 25. Newspaper article and papers are due by November 22. I will give you a couple of weeks in November, with no assignments, to work on these projects.
  • HW #6. Do Chapter 9 ( 2, 3, 5, 6, 8, 9, 11 ). Due October 31.
  • HW #7. Do Chapter 9 ( 13, 16, 17, 19, 20 ). Due November 7. And try to begin working on your Projects.
  • for November 14, work on Projects. Written products due November 22.
  • HW #8. Due December 5. Do Chapter 10 ( 16 ) and:
    Problem A. Prove Theorem 10.20b in your own words.
    Problem B. Find a differential 2-form (omega) in R^4 such that (omega)^(omega) is not zero. The final exam will be available Thursday December 7.