Math 302 - Real Analysis II - Spring 2011
|
Week |
week of |
Topics |
Problem Sets |
|
1 |
Feb 14 |
Numerical Series: Positive
Series |
|
|
2 |
Feb 21 |
Rearrangement
of Series & Q1 |
|
|
3 |
Feb 28 |
Limits of mappings between metric
spaces |
|
|
4 |
Mar 7 |
Limit
types, Monotone functions & Q2 |
|
|
5 |
Mar 14 |
Functions
of bdd variation & M1 |
|
|
6 |
Mar 21 |
Riemann Integral |
|
|
7 |
Mar 28 |
Fundamental
Th. of Calculus, Improper Integrals & Q3 |
|
|
8 |
Apr 11 |
Sequences and Series of Functions: Sequences
of func. |
|
|
9 |
Apr 18 |
Series
of Functions & Q4 |
|
|
10 |
Apr 25 |
The Space of Cts.
Func. on a Compact Metric Space |
|
|
11 |
May 2 |
Arzela – Ascoli Theorem & Q5 |
|
|
12 |
May 9 |
Stone-Weirstrass Theorem
& M2 |
|
|
13 |
May 16* |
Baire Category Theorem |
|
|
14 |
May 23 |
Baire-1
Functions & Q6 |
|
Questions in the problem sets are
mainly from the textbooks of the course.
Instructor: Baris Coskunuzer
Prerequisite: Math
301
Text: Real Analysis by Ali Ülger,
Online Book
The Elements of
Real Analysis by Robert G. Bartle.
2nd Edition, Wiley Press
Additional Reading:
Principles
of Mathematical Analysis by W. Rudin. Mc Graw-Hill
Grading Policy: 15% HW + 15%
Quizzes (“5” quizzes) + 40% Midterms (2 midterms) + 30% Final
Attendance Policy: 75% attendance
is required. 90% attendance means 5 bonus points.
Passing Grade: At least 40
Class Time: TTh
14:00-15:15 at SOS Z21
Teaching Assistant: Cihan Soylu (cisoylu@..)
Office Hours: TBA
TA Office Hours: TBA
HW: HWs
are due Thursday class of the following week.
Collaboration is encouraged as long as
everyone writes his own solution.