Math 31B, Lecture 6

Homework Assignments

Information

All homework assignments will be posted to this page.  Assignments will be posted no later than 9 days before they are due.

Be sure your write-up is neat and clear, all pages are stapled together, and that your name is written on the first page.  The grader will deduct points for sloppy or unreadable work.

For each assignment I will indicate suggested warm-up exercises, which tend to be easier than those to be handed in and are all odd-number.  I also suggest you work on odd-number problems similar to the assigned even-number problems, especially if you get stuck.  It helps to be able to check your solution and make sure you're on the right track. 

Homework 9
due Friday, March 16

• Homework 9 (PDF file)

Homework 8
due Wednesday, March 7

• Homework 8 (PDF file)

Homework 7
due Wednesday, February 28

• 12.1: 72
• 12.5: 2, 4, 6, 8, 12, 14, 16, 18, 20, 32, 34, 35, 36
• 12.6: 2, 4, 8, 10, 12, 14, 18, 20, 22, 24, 32, 39, 40

Suggested warm-up exercises (do not hand these in):

• 12.5: Selected odd problems from 3 to 19; 33
• 12.6: Selected odd problems from 3 to 33; 37

Homework 6
due Wednesday, February 21

• Homework 6 (PDF file)

Homework 5
due Wednesday, February 14

• 12.1: 12, 18, 24, 28, 30, 38, 40, 50, 52, 58, 62, 65, 68
• 12.2: 12, 16, 18, 24, 30, 32, 52, 57, 58, 59, 60, 61, 62, 67
• Additional Exercises to hand in (very important):
  1. Rewrite Example 1 of Section 12.2 (pages 750-751) letting a=1 throughout (this is the way it was done in lecture).  Make sure you understand the proofs of convergence and divergence, as well as the derivation of the partial sum (equation 3) and its limiting value.  You are responsible for knowing these.
  2. Prove equation 3 of Example 1 (page 751) using mathematical induction.

Suggested warm-up exercises (do not hand these in):

• 12.1: Selected odd problems from 9 to 39
• 12.2: Selected odd problems from 11 to 45

Homework 4
due Wednesday, February 7

• 9.1: 6, 8, 10, 14
• Discovery Project: Arc Length Contest (page 590)
  To get credit for this problem (which will be graded) you need only exhibit a function that satisfies the three properties given.
  However if you are interested try to find one with the smallest arc length!  I'll announce the winner in class.
• 9.2: 6, 8, 12, 14, 16

Suggested warm-up exercises (do not hand these in):

• 9.1: Selected odd problems from 5 to 15
• 9.2: Selected odd problems from 5 to 15

Homework 3
due Wednesday, January 31

• 8.4: 8, 14, 18, 28, 30, 40, 44, 48, 50
• 8.7: 10, 14, 16, 18, 20 (Trapezoidal and Midpoint Rules only)
• 8.8: 6, 8, 10, 14, 18, 22, 24, 28, 36, 38, 40, 50, 52, 54, 56, 58

Suggested warm-up exercises (do not hand these in):

• 8.4: Selected odd problems from 7 to 49
• 8.5: Selected odd problems (good review for the midterm!)
• 8.7: Selected odd problems from 7 to 17
• 8.8: Selected odd problems from 5 to 39 and 49 to 59

Homework 2
due Wednesday, January 24

• 7.7: 40, 44, 48, 50, 52, 54, 56, 58, 62, 88
• 8.1: 10, 14, 22, 26, 32, 34, 42, 46, 50, 64
• 8.2: 12, 16, 34, 42, 46, 54, 66, 68
• 8.3: 12, 18, 20, 22, 24, 30, 32, 34

Suggested warm-up exercises (do not hand these in):

• 7.7: 5, 13, 15, 17, 23, 37, 51, 57, 79, 87
• 8.1: 3, 5, 13, 15, 21, 41, 45, 49
• 8.2: 1, 7, 23, 41, 65, 67
• 8.3: 5, 7, 9, 13, 17, 31

Homework 1
due Wednesday, January 17

• 7.2: 28, 34, 36, 42, 50, 52, 72, 78
• 7.3: 28, 34, 36, 52, 54, 56, 62, 66
• 7.4: 16, 28, 44, 48, 58, 72, 74, 88
• 7.5: 20, 28, 30, 44, 46, 64, 68, 70
• 7.6: 10, 36, 40, 44, 56, 58, 60, 62

Suggested warm-up exercises (do not hand these in):

• 7.2: 7, 11, 17, 25, 29
• 7.3: 23, 29
• 7.4: 3, 7, 45, 69, 75
• 7.5: 3, 5, 15, 25
• 7.6: 3, 35