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 |
Bolzano-Weirstrass 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 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
11:00-12:15 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.