## Math 31B Fall 2017 Homework Assignments

You write your homework with a pen or pencil, and paper. You put your name, discussion, and UID on it, and turn it in at the start of class, on the due date, in piles organized by discussion. Stapling it is a good idea, if you want full credit. Update: half points if your homework is not stapled; sorry; it's too cumbersome for the grader otherwise. NO late homework will be accepted, but the two lowest homework scores will be dropped. You are allowed to work in groups on the homework, but ultimately you are expected to be responsible for writing up your homework (and, of course, for understanding it). Further, the homeworks should be neatly written and legible. You can lose points for the homework being poorly organized, illegible, and, of course, for having incorrect answers and working.

Problems which are intended for discussion have a ' next to them.

### Review

• Section 2.6:   5 (sketch the graphs), 14
• Section 3.7:   35, 50, 69
• Section 5.7:   11, 27, 40, 73, 83, 85

### Homework 1 - Due Friday, October 6

• Section 7.1:  1e, 1f, 14', 18, 23, 25, 28, 32, 37, 40, 51', 53, 58', 59', 71, 78', 82, 84'
• Section 7.3:  12, 13, 17, 22, 23, 38, 41, 44', 68, 75', 90, 97, 111'

### Homework 2 - Due Wednesday, October 11

• Section 7.7:  8, 10', 12, 18, 30', 32, 40, 43', 46, 48', 49', 52, 65'

### Homework 3 - Due Wednesday, October 18

• Section 11.1:  14, 27, 28', 35, 36, 40', 42', 43, 45, 48', 53, 57, 62', 64, 68'
• Section 11.2:  2, 3, 4', 7', 8, 13', 16', 17, 20, 21', 23, 26', 29, 32, 48', 49, 58'

### Homework 4 - Due Friday, October 27 (but you should do it before the midterm)

• Section 11.3:  17', 18, 23, 28', 30', 40, 41', 43, 44', 47', 49', 50, 53, 58'
• Section 11.4:  44 (you can assume \sum (-1)^n / \sqrt{n} converges)
• Bonus if you're just too dam good:  What does the sequence (2n)! / n^(2n) converge to?

### Homework 5 - Due Wednesday, November 1

• Section 11.4:  3, 6, 8, 9, 22, 26, 27, 35, 37
• Section 11.5:  1, 4, 9, 16, 21, 27, 37, 38, 41, 48, 58, 59

### Homework 6 - Due Wednesday, November 8

• Section 9.4:  2, 3, 5, 9, 14, 19, 21, 23 (for 23, just calculate T_{4n+3}, highlighting the 4n, (4n+1), (4n+2), (4n+3)-th terms), 24, 25
• Section 9.4:  41, 42, 44, 45 (you could try the GU bit on "grapher" (google it); it's not necessary but useful), 46, 47, 49, 51, 52, 53, 54

### Homework 7 - Due Friday, November 17

• Section 7.8:  2, 7, 8, 12, 17, 18, 35, 37, 42, 46, 48, for the following integrals you should demonstrate that you can calculate them using the appropriate u-sub, 59, 60, 61, 62 (for 62, delete the limits - in some versions of the textbook they don't make sense), 66, 70
• Section 8.5:  1 (for 1, you shouldn't have to calculate), 2, 3, 4, 9, 12, 15, 16, 18, 25, 34, 36, 41, 43, 46 (this one is stupid - forget about it)

### Homework 8 - Due Monday, November 27 (but you could make your Thanksgiving better by getting it done beforehand)

• Section 8.1:  8, 14, 18, 20, 22, 26, 38, 46, 50, 54, 58, 59, 60, 61, hand-in the complete solution to the following integral: \int x e^x / (x+1)^2 dx

FROM HERE, IT IS STILL UNDER REVISION!!

### Homework 9 - Due Friday, December 8

• Section 8.7:  1, 6, 9, in questions which require a u-sub, it is important you perform the u-sub AFTER introducing the limit, 12, 14, 18, 24, in questions which require IBP, it is important you do IBP AFTER introducing the limit, 26, 31, 35, 37, 38, 46, 47, 50
• Section 8.7:  62, 63, 64, 67, 72, 75
• Section 11.3:  2, 3, 4, 7, 8, 13, 14