Real Analysis (실함수론)

Class Info

Class Number: Math 482
Dates: Mar 3, 2016 - Jun 2, 2016
Room: NS 319
Meeting time:
Tuesday 13:30 - 14:45
Thursday 13:30 - 14:45

Text:
Robert G. Bartle, The Elements of Integration and Lebesgue Measure, Wiley 1995

Optional suggested reading:
Tom M. Apostol, Mathematical Analysis, 5. ed., Addison-Wesley 1981
Walter Rudin, Real & Complex Analysis, 3. ed., McGraw Hill 1986
A gentle introduction to Measure Theory (by Gaurav Chandalia)
Links
Homework

Final Grades



Syllabus

Week Topics Chapters
1 Introduction 1 & 2
2 Measurable Functions 2
3 Measures 3
4 The Integral 4
5 Monotone Convergence 4
6 Integrable Functions 5
7 Lebesgue Dominated Convergence 5
8 Midterm Exam
9 Lebesgue Spaces 6
10 Completeness Theorem 6
11 Modes of Convergence 7
12 Convergence Theorems 7
13 Decomposition of Measures 8
14 Decomposition Theorems 8
15 Final Exam

Grading

We will have a mid-term test in April and a final exam in June.
The grades will be accorded the following weights.
Attendance 10%
Mid-term: 40%
Final: 50%

Homework

The homework is assigned every Thursday for the material covered that week.
It will be due to hand in on the following Tuesday.
Last modified: Thu June 23 12:50:05 KST 2016