Student Academic Information Registration System
Bilkent University
MATH 213 Advanced Calculus I
Section : 1
2011-2012 Fall
Office Hours & Location : Mo 10:40--11:30; We 14:40--15:30; SA 130
Name of Lecturer : Assoc. Prof. Alexandre Degtiarev
E-mail address : degt@fen.bilkent.edu.tr
Ext. : 2135
Office : S A130
Web Address
for Detailed Syllabus : 		http://

Assessment Methods
Assessment Method(%) Contribution to Final GradeDate Week
Midterm:Essay/written25 5
Midterm:Essay/written25 10
Final:Essay/written35 15
Homework15 0

Readings
1
Required Textbook
Year/Edition: 2004
Title: Introduction to Analysis, 3rd edition
Author(s): W.R. Wade
Publisher: Pearson/Prentice Hall
2
Recommended Textbook
Year/Edition: 1975
Title: Principles of Mathematical Analysis
Author(s): W. Rudin
Publisher: McGraw-Hill International Editions


Type of Course
Independent Studies ---- Lecture ---- Tutorial ----


Teaching Methods
Independent study ---- Lecture


Course Contents
Week : 1
The real number system: 1.1-1.2

Week : 2
Completeness Axiom and functions: 1.3-1.4

Week : 3
Sequences: 2.1-2.3

Week : 4
Cauchy sequences: 2.4-2.5

Week : 5
Limits and continuity: 3.1-3.4

Week : 6
Differentiability: 4.1-4.2

Week : 7
More on differentiability: 4.3-4.4

Week : 8
Integration: 5.1-5.2

Week : 9
Fundamental results of integration: 5.3

Week : 10
Improper integration and bounded variation: 5.4-5.5

Week : 11
Infinite series: 6.1-6.3

Week : 12
Alternating series and tests for convergence: 6.4-6.6

Week : 13
Uniform convergence: 7.1-7.2

Week : 14
Power series and analytic functions: 7.3-7.4

Week : 15
Final Exams : 09.01.2012 - 19.01.2012


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