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:
- Due Wednesday, January 28: no. 1-15, 1-16, 1-17, 1.18, 1-20
- Due Wednesday, February 4: no. 2-5, 2-10, 2-12, 2-18,
2-30,
2-32
- Due Wednesday, February 11: no. 3-5, 3-7, 3-8, 3-10, 3-11
- Due Wednesday, February 18: no. 3-23, 3-25, 3-31, 3-37, 3-38
- Due Wednesday, February 25: no 3-39, 3-40, 3-41
- Due Wednesday, March 3: no 4-2, 4-3, 4-5, 4-7, 4-11
- Due Wednesday, March 10: no. 4-13, 4-14,4-18, 4-19
- Due Wednesday, March 17: no. 4-23, 4-24, 4-25, 4-27, 4-29, 4-32
- Due Wednesday, March 31: no. 5-1, 5-2, 5-4, 5-6, 5-7
- Due Wednesday, April 7: no. 5-9, 5-10, 5-11, 5-13, 5-14
- Due Friday, April 30: dowload a
PDF file here
Optional *-homework problems:
- Due Wednesday, February 4: Give a precise
definition
of the Cantor set and prove that it has empty interior.
- Due Wednesday, February 11: no. 2-25
- Due Wednesday, February 25: no. 2-26, 3-28
- Due Wednesday, March 17: no. 4-21
- The final exam for this
course is scheduled
for 8-11am, Wednesday, May 12.