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Week 1 Real number system, least upper bound property and its
consequences.
Week 2 Sequences of real numbers.
Week 3 Bolzano-Weierstrass Theorem.
Week 4 Cantor intersection property.
Week 5 Limit superior and limit inferior.
Week 6 Introduction to metric spaces open and closed sets.
Week 7 Sequences in metric spaces continuous and uniformly continuous
functions. Series of functions.
Week 8 Products of metric spaces.
Week 9 Completion of a metric space.
Week 10 Compactness in metric spaces.
Week 11 Connectedness and connected components.
Week 12 Ascoli-Arzela Theorem.
Week 13 Baire's Theorem and Applications.
First Midterm (%35) 17 Oct 2005
Second Midterm (%35) 21 Nov 2005
Final (%30)
Text Book: An Introduction to Real Analysis, Matematik Vakfı Yayını
(2000)
Office Hour: Monday 10:30 - 11:30
Past Exam
Questions:
1997 Midterm 2:
2002 Midterm 1:
2005 Homework 4:
2005 Homework 5:
2005 Midterm 1:
2005 Midterm 2:
2005 Final:
2005 Makeup:
2005 Makeup Midterm
2:
2005 Makeup Final:
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