Introduction to Calculus on Manifolds   MATH  295E


Instructor: Ilya Kapovich

Spring 2004  Section E

MWF, 9:00am,    Altgeld Hall  141

WWW:  http://www.math.uiuc.edu/~kapovich/295-04/295-04.html





Textbook:   Micahel Spivak, Calculus on Manifolds
 
 


 

Instructor: Ilya Kapovich
Office: Illini Hall 328
Office Hours:  Monday, Tuesday 4:00-5:30pm (and at other times by appointment)
Tel. 265-0633
e-mail kapovich@math.uiuc.edu.


  The First Midterm Exam will take place on Friday,  April 16.
                          
 


The following materials are currently available:

  Homework assignments:
 

  1. Due Wednesday, January 28:  no. 1-15, 1-16, 1-17, 1.18, 1-20
  2. Due Wednesday, February 4:   no. 2-5, 2-10, 2-12, 2-18, 2-30, 2-32
  3. Due Wednesday, February 11: no. 3-5, 3-7, 3-8, 3-10, 3-11
  4. Due Wednesday, February 18: no. 3-23, 3-25, 3-31, 3-37, 3-38
  5. Due Wednesday, February 25: no 3-39, 3-40, 3-41
  6. Due Wednesday, March 3: no 4-2, 4-3, 4-5, 4-7, 4-11
  7. Due Wednesday, March 10: no. 4-13, 4-14,4-18, 4-19
  8. Due Wednesday, March 17: no. 4-23, 4-24, 4-25, 4-27, 4-29, 4-32
  9. Due Wednesday, March 31: no. 5-1, 5-2, 5-4, 5-6, 5-7
  10. Due Wednesday, April 7: no. 5-9, 5-10, 5-11, 5-13, 5-14
  11. Due Friday, April 30: dowload a PDF file here

  Optional *-homework problems:
 

  1. Due Wednesday,  February 4:   Give a precise definition of the Cantor set and prove that it has empty interior.
  2. Due Wednesday, February 11: no. 2-25
  3. Due Wednesday, February 25: no. 2-26, 3-28
  4. Due Wednesday, March 17: no. 4-21


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