First Homework: Ex 1.1, 1.3-1.5 from W1LN. Problems 37, 39, 40, 45, 46, 47 of CantorNotes.
Second Homework (hand in ONLY starred problems): 5*, 7, 9*, 12, 16*, 17, 18, 19*, 20, 21, 22, 23*, 25*. For problem statements see HW2-Full.pdf attached below. Due date: Sunday December 8.
Third Homework (hand in starred problems only) see HW3Merged.pdf attached below: p111-112 16*, 19*, 21, 22; p116-117 25, 27, 28; From Folland (Last two pages in PDF) More practice 'Integrating to the Limit' 25*, 28, 31. Due date: Sunday December 29.
Fourth Homework (hand in starred problems only) see HW4.pdf below: 12-15, 16*, 17, 18, 21, 22, 23, 24 from the first two pages. 7*, 8*, 15* (assume X=[0,1]) from third page (Folland). Due Sunday Jan. 5.
Fifth Homework (hand in starred only). See HW5.pdf below: from Folland (pages 1 and 2) 16, 17*, 19* Food for thought: What do these two problems say about the 'definitions' of measurability discussed in class on Jan. 8; Due Thurs. Jan. 23.
Sixth Homework (hand in starred only). See HW6.pdf below: from Folland (Page 1) 46, 48, 50*; from Royden (pages 2, 3, 4) 26*, 29*, 30*; Due by the date of Moed A.