Math 445
Foundations of Analysis II
Spring 2008
Time: Tuesday and Thursday, 4:30 - 5:45 pm
Place: LD 002
Textbook: Real Mathematical Analysis, by
Charles Pugh
Instructor: Michal Misiurewicz
Office: LD 224F
Phone: 274-8101
E-mail:
mmisiure@math.iupui.edu
Office Hours: Tuesday 2:00 - 4:00 pm and
Thursday 10:00 am - 12:00 noon
Course description: This is the second unit of
the 2-course sequence (Math 441 and Math 442). The objective of those
courses is to teach students basic ideas of Mathematical Analysis at a
substantially higher level of abstraction and rigor than in Calculus
courses. This semester we will start with Series and try to
get as far as possible (and reasonable).
Grading policy: Each week there will be homework
assigned, to be submitted for grading. The homework scores will
constitute 30% of the total score. There will be three tests. The
lowest test score will be dropped. The test scores will constitute 40%
of the total score. There will be also a
comprehensive final examination. The final exam score will
constitute 30% of the total score.
You need approximately 80% of the maximum possible score for A-,
66.7% for B-, 53.3% for C-, and 40% for D-.
Final Examination: Tuesday, April 29, 3:30 - 5:30
pm.
Withdrawal deadline: March 28. Details can be found
here.
Homework assignments:
- Series (e), (f), (g) and (h) - for January 17
- Series (u), (w), (y) and (A) - for January 25
- Page 252, Exercise 7(a) in the direction: graphs converge implies
functions converge, under an additional assumption of equicontinuity
of functions - for January 31
- Page 251, Exercise 4 - for February 7
- Page 252, Exercise 8 - for February 14
- Page 254, Exercise 27 (a) and (b) - for February 21
- Page 264, Exercise 51 - for February 28
- Page 254, Exercise 26 (a) (formula) - for March 27
- Page 417, Exercise 2 - for April 8
Test I - February 28
Test II - March 25
Last updated: April 1, 2008
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