Advanced Calculus 521 - Passman's Class
MWF 1:20 - 2:10 PM (B203 Van Vleck)
Text Book:
- Real Analysis by Frank Morgan
Syllabus:
- We will cover the whole book at a rate of approximately two chapters per week.
Grades:
- Home work: 5%
- Quizzes: 5%
- Take-home midterm: 45%
- Take-home final: 45%
Passman's Office Hours:
- Usually available in 603 Van Vleck at the following times:
Mon 2:25 - 3:15 PM,
Wed 12:00 - 12:50 PM
- Email:
passman@math.wisc.edu
Take-Home Exams:
Home Work:
- You should do all the problems in the book. Those below are to be handed in.
- Exercise 1: # 8, 9, 10
- Exercise 2: # 3, 4, 5, Show |2^A| > |A|.
- Exercise 3: # 15, 16, 21, 22, also 19, 20
- Exercise 4: # 1, 2, 11
- Exercise 5: # 1, 2, 3, 9, also 11, 12, 13, 14
- Exercise 6: # 4, Show that f: R^n -> R is continuous iff f^{-1}(C) is closed
for all closed sets C.
- Exercise 7: #2
- Exercise 8: #1, 2, 4, 5, 7
- Exercise 9: #1, 6, 7, 8, 9
- Exercise 10: #4, 6, 7
- Exercise 11: #3, 8
- Exercise 12: #3, 4, 5, 11
- Exercise 13: #1, 5, 6
- Exercise 14: #5
- Exercise 15: #3, 4, 7
- Exercise 16: #3, 4
- Exercise 17: #1, 3, 4, 6, 9
- Exercise 18: #2, 9
- Exercise 19: #2, 4, 6, 10
- Exercise 20: #1, 2, 4, 7, 8, 9
- Exercise 21: #2, 3, 6
- Exercise 22: #4
- Exercise 23: #1
Additional Links:
- Some
solutions to the home work problems
- Some tips on writing proofs
Passman's Home Page