

MATH 215
MATHEMATICAL ANALYSIS SYLLABUS 




Semester: 
Spring 2014 


Instructor: 
Mefharet Kocatepe 


Office: 
Faculty of Science, Block A, Room: 115 A 

Phone: 1255 

email: kocatepe@fen.bilkent.edu.tr 


Exams, grading: 
Midterm 1 (25%) March 14, 10:3012:20 

Midterm 2 (25%) April 25, 10:3012:20 

Final (30%) to be announced later 

Homework (20%) Ten homework assisgnments 


Course Schedule: 
Wednesday 08:3010:20 in EB204 

Friday 10:3012:20 in EB204 


Office hours: 
By appointment 


Textbooks 
M. Rosenlicht, Introduction to Analysis, 1986, Dover 

W. Rudin, Principles of Mathematical Analysis, 3rd.
Ed., 2000, Wiley 



60% attendance is
required 




Date 
Subjects 
Feb.5, 7 
Sets and functions 
Feb. 12, 14 
The real number system. 
Feb. 19, 21 
Metric spaces: definition
and examples 
Feb. 26, 28 
Topology of metric spaces 
Mar. 5, 7 
Sequences, Cauchy sequences

Mar. 12, 14 
Completeness, Midterm 1 
Mar. 19, 21 
Completeness, Compact sets 
Mar. 26, 28 
Compact
sets 
Apr. 2, 4 
Connected
sets 
Apr. 9, 11 
Continuity 
Apr.16, 18 
Uniform
continuity 
Apr. 25 
Midterm 2 
April 30 
Preservation of compactness and connectedness under continuity 
May
7, 9 
Contractions and Banach fixed point theorem 
May
14, 16 
Review 