Advanced Calculus 521 - Passman's Class

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:

• Midterm
• Prof. Isaacs' solutions for the midterm exam
• Final

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