Math 301  Real Analysis I  Fall 2010
Week 
week of 
Topics 
Problem Sets 
1 
Sep 27 
Real Number
System 

2 
Oct 4 
Properties of R
& Q1 

3 
Oct 11 
BolzanoWeirstrass Theorem 

4 
Oct 18 
Topology of R
& Q2 

5 
Oct 25* 
Metric Spaces 

6 
Nov 1 
Convergence in
Metric Spaces & M1 

7 
Nov 8 
Continuity in
Metric Spaces 

8 
Nov 22 
Extensions
& Contraction Mappings & Q3 

9 
Nov 29 
Products of
Metric Spaces 

10 
Dec 6 
Completion of
Metric Spaces & Q4 

11 
Dec 13 
Compactness 

12 
Dec 20 
Compactness
& M2 

13 
Dec 27 
Connectedness 

14 
Jan 3 
Connectedness
& Q5 
Questions in the problem sets are
mainly from the textbooks of the course.
Instructor: Baris Coskunuzer
Prerequisite: Math
208
Text: Real Analysis by Ali Ülger,
Online Book
The Elements of
Real Analysis by Robert G. Bartle.
2nd Edition, Wiley Press
Additional Reading:
An
Introduction to Real Analysis by Tosun Terzioğlu.
Matematik Vakfı Yayınları
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
11:0012:15 at CAS B34
Teaching Assistant: Cihan Soylu (cisoylu@..)
Office Hours: Monday 13:00  15:00 at SCI 104
TA Office Hours: Tuesday &
Thursday 15:00 – 16:00 at SCI Z14
HW: HWs
are due Thursday class of the following week.
Collaboration is encouraged as long as
everyone writes his own solution.