Peter B Gilkey
202 Deady Hall,1-541-346-4717 (office phone) 1-541-346-0987 (fax) email: gilkey@darkwing.uoregon.edu
Mathematics Department, University of Oregon, Eugene Oregon 97403 USA

Math 4/515 Introductory Analysis Spring  2008 (33116,35973)

Syllabus Version 1

  • Calculus on Manifolds MWF 0900-0950 Deady 306 + Friday 1500-1550 (Problem Session) 303 Deady.
  • Office hours Monday, Wednesday, Friday 1000-1050 or by appointment.
  • Text: Spivak: Calculus on manifolds (paperback). (Benjamin/Cummings Publishing Company).
  • Homework will be due each Monday on the material of the subsequent week. The Friday discussion hour is an opportunity for you to ask questions about the homework. The homework problems will be challenging and it is essential that you have thought about the homework before comming to the discussion hour. You should also feel free to ask questions regarding the lecture that have come up then (or during class of course).
  • Grade: Will be based
    1. 25% on the homework
    2. 25% on the mid term Friday May 02
    3. 50% on the Final Exam 10:15 Wed June 11.
  • No class Memorial Day Monday May 29 2006.

    • Here are tentative reading and homework assignments. Subject to change
    1. Week 1 Mar 31-Apr 04: Read 1-34. Do 1.7, 1.10, 1.22, 1.30, 2.4, 2.5, 2.7.
    2. Week 2 Apr 07-Apr 11: Read 34-45. Do 2.12, 2.13., 2.21, 2.22, 2.23, 2.24, 2-25, 2-26. Also extra problems -- see PDF and TEX
    3. Week 3 Apr 14-Apr 18: Read 46-56. Do 2.29, 2.30, 2.31, 2.32, 2.35, 2.36, 2.37 [not part b], 2.38, 2.39
    4. Week 4 Apr 21-Apr 25: Read 56-73. Do 3.1-3.10.
    5. Week 5 Apr 28-May 02: Read 56-73. Do 1.18, 3.11, 3.12, 3.14, 3.15, 3.16, 3.17, 3.18, 3.19. Exam Friday May 02
    6. Week 6 May 5-May 9: Do 3.13, 3-20, 3.21, 3.22, 3.23, 3.26, 3.28, 3.29, 3.36.
    7. Week 7 May 12-May 16: Do 1.17, 3.30, 3.31, 3.32, 3.33, 3.34, 3.37, 3.38
      1. Problem A1:  Prove or disprove the following assertion: ``Let U be a bounded open subset of R-n. Then the characteristic function of U is integrable in the extended sense over U.
      2. Problem A2: If U is any unbounded open subset of R-n, then the characteristic function of U is not integrable in the extended sense over U.
    8. Week 8 May 19-May 23. TBA
    9. Week 9: May 26-May 30. TBA (Monday 26 May is a holiday)
    10. Week 10: June 2-June 6. TBA
    11. Week 11 June 9-June 13  Final Exam 10:15 Wednesday June 11.

        
    To rest on the blue of the day, like an eagle rests on the wind, over the cold range, confident on its wings and its breadth.

    Web page spun on 6 April 2008 by Peter B Gilkey 202 Deady Hall, Department of Mathematics at the University of Oregon, Eugene OR 97403-1222, U.S.A. Phone 1-541-346-4717 Email:peter.gilkey.cc.67@aya.yale.edu of Deady Spider Enterprises