MATH 215 MATHEMATICAL ANALYSIS SYLLABUS
Semester: Spring 2014
Instructor: Mefharet Kocatepe
Office: Faculty of Science, Block A, Room: 115 A
Phone: 1255
e-mail: kocatepe@fen.bilkent.edu.tr
Exams, grading: Midterm 1 (25%) March 14, 10:30-12:20
Midterm 2 (25%) April 25, 10:30-12:20
Final (30%) to be announced later
Homework (20%) Ten homework assisgnments
Course Schedule: Wednesday 08:30-10:20 in EB-204
Friday 10:30-12:20 in EB-204
 
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