Real Analysis I (실해석학)

Class Info

Class Number: Math 306
Dates: Mar 2, 2012 - Jun 8, 2012
Room: NS 319
Meeting time:
Monday 10:30 - 11:45
Friday 9:00 - 10:15

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 Exam: June 15, 9:00 - 11:00, NS319.

The final exam is a closed book written test.

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

I will assign homework every Friday for the material covered that week.
It will be due to hand in on the following Friday.
Last modified: Sun Apr 8 14:57:58 KST 2012