# Math 44500

## Foundations of Analysis II

## Spring 2010

Time: Tuesday and Thursday, 4:30 - 5:45 pm

Place: LD 002

Textbook: *Closer and Closer: Introducing Real
Analysis*, by Carol S. Schumacher. One can find the table of
contents
here
and the errata
here.

Instructor: Michal Misiurewicz

Office: LD 224F

Phone: 274-8101

E-mail:
mmisiure@math.iupui.edu

Office Hours: Tuesday and Thursday, 2:00 - 2:50
and 6:00 - 7:00 pm.

Course description:
This is the second unit of the 2-course sequence (Math 44400 and Math
44500). 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's
material covers approximately Sections 6 - 12 and J of the textbook.

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, May 4, 3:30 - 5:30 pm.

Withdrawal deadline: April 2.
Details can be found
here.

Academic Integrity: The IUPUI Department of Mathematical
Sciences expects all students to adhere to the regulations put forth
in the "IUPUI Code of Student Rights, Responsibilities, and Conduct"
concerning academic or personal misconduct. The Code of Conduct can be
found here.

Cheating on assignments and tests or other academic works is a
violation of university policy. Any behavior that is construed as
cheating or academic dishonesty will not be tolerated in this course.
This includes, but it is not limited to, plagiarism, cheating during
exams, acquisition of tests or other academic materials, as well as
aiding and abetting others in committing the violation. The classroom
protocol will be guided by the Student Code of Conduct which, among
other things, asserts IUPUI's commitment "to maintain[ing] a spirit of
civility in a community in which diversity is welcomed. Every student,
staff, and faculty member plays a significant role in promoting an
environment that is conducive to academic excellence by fostering a
climate of civility and mutual respect."

### Homework assignments:

Page 153, Problem 2 - for January 26
Page 180, Problem 6 - for February 2
Page 186, Problem 3 (a) - for February 9
Page 196, Problem 5 - for February 16
Prove that if *f* is an integrable function and *K* is a
constant, then the function *Kf* is integrable - for March 11
Prove that if *X* is a space with the discrete metric then
every subset of *C*(*X*) is equicontinuous - for April 15

Last updated: April 13, 2010

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