Math 5800 - Real Analysis

Class information:

Study Guides:

Misc Links:

Homework:

Topic Homework Assignment
1 - Countable and Uncountable sets

       No Homework for this topic.

2 - 4650 Review
3 - Measure Zero
4 - Step Functions

Test 1 will cover HW 3 and HW 4 above
 
5 - More 4650 Review
6 - Sequences of functions and the standard construction 
7 - The Lebesgue Integral

Test 2 covers HW 6 and HW 7 above
 
8 - More on Integrable Functions
9 - Measureable functions 

Note: Problem 5a solutions has an error where I bound min{phi_n(x), psi_n(x)} by phi_n(x) + psi_n(x).   This would be if both of them are negative for example.   This can be fixed by an argument in Weir that I emailed you.   

10 - Lebesgue Measure and Measurable Sets
  • Do the problems from here.   
    Here are the solutions.

 

Schedule and class notes:

Week Monday Wednesday
1 8/23 - lecture notes

8/25 - lecture notes

2

8/30 - lecture notes

9/1 - lecture notes

3

9/6 - HOLIDAY

9/8 - lecture notes

4

9/13 - lecture notes

9/15 - lecture notes

5

9/20 - lecture notes

9/22 - lecture notes

6

9/27 - lecture notes

9/29 - lecture notes

7

10/4 - lecture notes

10/6 - lecture notes

8

10/11 - lecture notes

10/13 - lecture notes

9

10/18 -   TEST 1

10/20 - lecture notes

10

10/25 - lecture notes

10/27 - lecture notes

11

11/1 - lecture notes

11/3 - lecture notes

12

11/8 - lecture notes

11/10 - lecture notes

13

11/15 - TEST 2

11/17 - lecture notes

Holiday week

11/22 - HOLIDAY

11/24 - HOLIDAY

14

11/29 - lecture notes

12/1 - lecture notes

15

12/6 - lecture notes

12/8 - lecture notes

FINALS      12/13 - 
12/15 - 

Final Exam Day
 

 

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