Calculus Homework:

For each section that we study I suggest that you do the following:

• Browse through the problems at the end of the section to pick up some hints about the vocabulary, the notation, and the types of problems that you will be expected to learn about.
• Read the section carefully. Keep paper, pencil, and computer handy so that you can stop frequently to work out the details for yourself, and so that you can make a list of questions.
• Make sure that you understand every example forwards and backwards. Test your understanding by looking for problems at the end of the section that can be solved using similar methods. Ask yourself if you could still solve these problems if the given information was changed in various ways.
• Look for problems at the end of the section that do not appear to be related to any of the examples. Why are these problems in this section of the book? Challenge yourself to discover a connection. Reread the section with these problems in the forefront of your mind. Ask about these problems in class.

Chapter 5:

5.1: 2,3,9,12,14,18,24
5.2:1,5,13,16,30,32,42,50,55,63
5.3:2,11,16,17,26,28,32,34,39,43,46,48
5.4: 2,7,10,1
        17-42(practice),
        46,50,54,55,61
5.5: 1-54(practice),
        59,64

Chapter 6:
6.1: 2,3,5,10,15,20,25,30,33,37,39,41
6.2: 4,8,12,16,20,31,35,41,43,51,54,61,66
6.3: 2,8,19,23,28,31,43,44,
6.5: 5,10,15,19,20,21
 

Chapter 7:
7.1:skim 3-16, 27,28,34,36,40,43,48
7.2*: 4,26,35,42,60,68,85
7.3*: 4,10,26,32,50,58,59,70
7.4*: 12,17,23,28,30,40,43,49,50,55
7.5: 8,10,17,26,31,43,44,47,50,61,64,73
7.7: 1-66(practice), 87,92,94,96

Chapter 8:
8.1: 1-32(practice), 37,42,40,51,55,57,59,60
8.2: 1-46(practice), 51,53,58,63
8.3: 1-30(practice), 34,41
8.4: 1,5,13,16,27,30,35,63,64
8.5: 1-76(practice) In particular, before you do any heavy duty computing, try to skim through the list and classify the problems according to which method you think might work. Then go back and test your classification by computing one or two integrals in each category.
8.6: Work through the Discovery Project on page 545.
8.7: 2,4,6,19,25,26,31,34
 

Chapter 9:
9.1: 2,6,14,25,40
9.2: 2,5,13,21,27,31
 
 

Chapter 10:
 
 

Chapter 11:
 
 

Chapter 3 Review:

3.3: Differentiation Formulas
p.156-158: 6,7,13,14,19,21,23,27,31,35,37,49,56,59,73
p. 214-5:Review problems: 1,5,7

3.5: Derivatives of Trigonometric Functions
p.175-7: 3,5,7,9,11,21,23,25,29,31

3.6: The Chain Rule
p. 183-5: 3,17,24,28,29,33,35,36,39,41,45,53,55,57,64

Chapter 4 Review:

4.10: Antiderivatives
p.304-6; 1,2,5,7,11,13,15,17,19,25,29,33,41,53,55,63,66,71