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MAT 332
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Course Information
Course Name
Turkish
Reel Analiz I
English
Real Analysis
Course Code
MAT 332
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester

4
4


Course Language
Turkish
Course Coordinator
Fuat Ergezen
Nurhan Çolakoğlu
Course Objectives
To introduce the measure of plane sets first, and THEN the measure in general.
To introduce the Lebesgue integral AS extension of the Riemann integral.
To teach properties of Lebesgue integral and give ability to apply on mathematical problems.
Course Description
The concept of measure. Measurable sets on plane and R^n. Inner and outer measure functions. General measure. The extension of measure function. Properties of measurable sets. Cantor and Borel sets. Measurable functions. Lebesgue's integral. The properties of Lebesgue's integral. The notions of convergence. Comparison of Lebesgue's with Riemann's integral. The theorems of Lebesgue, Fatou and Levi. The measure of product. Lebesgue's integral on product spaces. Fubini's theorem.
Course Outcomes
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