Problem Sets for Math 180a, Fall 2008

 

Unless specified otherwise, page and problem numbers refer to the text by Ross. Homework is to be turned in by 3:00 pm of the Friday it is due. 

 

Reading for Week 1: p.1-15 and 24-47

Problem set 1.  Due Friday Oct. 3.

p. 16: 1, 3, 12, 13, 14, 20, 21, 23, 28

p. 55: 1, 8

 Be sure to include some brief explanation, not just a formula.

 

Solutions to first problem set

 

Reading for Week 2: p. 66-95

Problem set 2.  Due Friday, Oct. 10

p. 55: 10, 16(a,g), 19, 25 (not so easy), 35, 38, 46, 52

p. 61: 6 (explanations not necessary to write)

p. 111: 1, 4, 7

 

Solutions to Problem set 2

 

Reading for Week 3: p. 95-111 (just skim it)

Problem set 3.  Due Friday, Oct. 17

p. 60: 53 (at last!)

p. 111: 15, 19, 26, 33, 37, 53, 66, 74

P. 124: 2

 

Solutions to Problem set 3

 

No homework due for Friday Oct. 24 !

 

Reading for Week 5:  p. 132-165

Problem set 4.  Due Friday, Oct. 31 (scary!)

p. 201: 1, 2, 3 (Yes, the answers are in the back)

p. 187: 1, 4, 6, 14, 21, 27, 28, 35, 38, 48, 54

 

Solutions to Problem set 4

 

Reading for Week 6:  p. 183-187,  205-229

Problem set 5:  Due Friday, Nov. 7

p. 187: 55, 57, 65

p. 203: 13

p. 254: 1, 3, 4

p. 247:  1, 4, 8, 12, 15

 

Solutions to Problem set 5

 

Reading for Week 7: p. 230-234 (up to 5.5.1) and p. 258-274 (up to Example 2g)

Problem set 6: Due Friday, Nov. 14

p. 247: 22, 23, 24 (not so easy), 32

p. 254: 9

p. 313: 1, 2, 5, 8, 20, 26 (OK to leave answer to (b) as a triple integral)

p. 323: 2, 4

 

Solutions to Problem set 6

 

Reading for Weeks 8-9: p. 280-296, p. 327-337, 355-369

Problem set 7: Due Monday, Dec. 1 (after Thanksgiving)

p. 313: 35, 38, 42

p. 323: 5

p. 408: 7, 16, 22, 26, 37, 39, 48, 51

p. 426: 1, 2

 

Solutions to Problem set 7

 

Reading for Week 10: Statement and examples for MarkovŐs inequality and the Central Limit Theorem in Chapter 8.

Problem set 8: Due Friday, Dec. 5

p. 457: 4, 7.