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 
StoneWeirstrass Theorem
& M2 

13 
May 16* 
Baire Category Theorem 

14 
May 23 
Baire1
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 GrawHill
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
14:0015:15 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.