The following table lists all reading and problem assignments according to the date by which they should be completed. All problem numbers refer to problems from the course problem sheets. The required reading is either from the course text (referred to as WZ) or lecture notes available online. Supplementary, recommend reading that gives further background on lecture or problem set material is also suggested from the books of Folland and Taylor on reserve in the Mathematics Library in Hill Center.
Date  Lecture Topic  Reading due  Problems due  
1  9/3  Functions of bounded variation  
2  9/8  Cantor sets and functions  WZ, 1.11.6, 2.1, 2.2, 3.1  
3  9/10  RiemannStieltes Integrals  WZ, 1.7, 2.3, 2.4  16, 1014 
4  9/15  Drawbacks of Riemann integrals  
5  9/17  Drawbacks of Riemann integrals  7, 8, 9, 1519, 25, 26  
6  9/22  Outline of measure and integration theory 

7  9/24  Outine continued  read lecture notes  
8  9/29  Algebras and sigma algebras: lecture notes  
9  10/1  Finitely additive measures  22,23,24  
10  10/6  Construction of Lebesgue measure  22,23,24  
11  10/8  Construction of Lebesgue measure  hand in 2832  
12  10/13 
LebesgueStieltjes measures Lecture Notes 

13  10/15  Cointossing measure; outer measures, measurable sets 
read WZ, chapter 11.1,2,3,5  
14  10/20  Caratheodory's theorem; proof  read WZ, chapter 11.1,2,3,5  
15  10/22  Lebesgue measure: regularity  read WZ, chapter 3  
16  10/27  Measurable functions  read WZ, chapter 3 
3344 (42 optional), hand in 33,34,36,38,42 
17  10/29  Measurable functions  read WZ, chapter 3  
18  11/3  The integral and basic convergence theorems 
4450 hand in 44, 45, 47, 50 

19  11/5  The integral and basic convergence theorems 
4450 hand in 44, 45, 47, 50 

20  11/10  EXAM  
21  11/12  Integration  WZ, chapter 5  
22  11/17  Integration  WZ, chapter 5  
23  11/19  Convergence in measure, a.e. and L^1  WZ, chapter 4, section 4  
24  11/24  Egorov, Lusin, FubiniTonelli  WZ, Chapter 4, section 3, Chapter 6  56, 59, 61, 62, 66 
25  12/1  FubiniTonelli theorem  WZ, Chapter 6  
26  12/3  Differentiation  WZ, Chapter 7  68, 69, 71, 79, 82 
27  12/7  Differentiation  WZ, Chapter 7  
28  12/10  Differentiation  WZ, Chapter 7 