Class InfoClass Number: Math 482Dates: Mar 3, 2016  Jun 2, 2016 Room: NS 319 Meeting time:
Text: Robert G. Bartle, The Elements of Integration and Lebesgue Measure, Wiley 1995 Optional suggested reading: Tom M. Apostol, Mathematical Analysis, 5. ed., AddisonWesley 1981 Walter Rudin, Real & Complex Analysis, 3. ed., McGraw Hill 1986 A gentle introduction to Measure Theory (by Gaurav Chandalia) 

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 
Attendance  10% 
Midterm:  40% 
Final:  50% 