Homework Problems

All graded homework assignments are posted and submitted on our WebWork page.

In addition to the assigned problems, there will also be a number of optional problem sets that are posted, either on WebWork or on this site (or both). Optional problems from the text will be odd-numbered, so that solutions are available at the end of the book. Optional problems on WebWork will have answers available immediately upon posting.

Optional Assignments

Non-graded Assignment 1

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding. Note: problems from section 1 cover more "precalculus" topics (for those that want to refresh their mathematical vocabulary), whereas the content from chapter 2 covers the start of differential calculus (i.e., the tangent problem and the basic notion of limit).

• Section 1.1: 1, 15, 19, 23, 29, 31, 33, 35, 37, 39, 43, 47, 49, 53, 59
• Section 1.2: 3, 9, 13, 15, 17
• Section 1.3: 31, 37, 41, 43, 45, 49, 51
• Section 1.5: 1, 3, 19, 29, 31
• Section 1.6: 35, 49
• Section 2.1: 3
• Section 2.2: 7, 17
• Section 2.3: 13, 15, 17, 19

Non-graded Assignment 2

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 2.2: 3, 5, 7, 13
• Section 2.3: 1, 3, 9, 11, 37(a), 45
• Section 2.4: 3, 5, 7, 11, 17, 27, 29, 36
• Section 2.5: 3, 5, 7, 9, 15, 17, 19, 23, 25, 29, 35
• Section 2.6: 5, 7, 9(a,b)

Non-graded Assignment 3

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 2.1: 7,9
• Section 2.6: 11,13,17, 19, 21, 27, 29, 31,43,45,47,49
• Section 2.7: 1, 3, 5, 7, 9, 19, 21, 25, 33, 35, 41,43
• Section 2.8: 1(a), 3(a), 5, 7, 9, 15(a,c,d,e), 17, 19, 27

Non-graded Assignment 4

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 3.1: 3 -- 23 (odd), 27, 41, 45, 47, 51, 53
• Section 3.2: 3 -- 17 (odd), 23, 25, 29, 31 (only tangent line), 33(a), 39, 41(a), 43, 45
• Section 3.3: 1,3, 7,9,11,13,19, 21, 27,29, 31, 33, 35, 37
• Section 3.4: 1 -- 37 (odd), 41, 51, 53, 61

Non-graded Assignment 5

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 3.5: 3 -- 17 (odd), 21, 23, 31, 33, 53
• Section 3.7: 3 -- 13 (odd), 21, 25, 27
• Section 3.9: 5, 7, 15, 17, 19, 21, 25, 31, 35

Non-graded Assignment 6

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 4.1: 3, 5, 9, 11, 17, 23, 25
• Section 4.2: 17, 19, 23 -- 37 (odd)
• Section 4.3: 7 -- 15 (odd)

Non-graded Assignment 7

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 4.2: 1,3,5,7,11,41--49 (odd)
• Section 4.3: 17, 19

Non-graded Assignment 8

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 4.6: 5, 7, 9, 23, 25, 27, 35
• Section 4.3: 21, 23, 29, 33, 37
• Section 4.4: 1, 3, 5, 9

Non-graded Assignment 9 and 9.5

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 4.5: 5--21 (odd), 31--39 (odd), 63, 69
• Section 5.1: 2, 13, 14, 16, 20
• Section 5.2: 8, 31, 32, 48
• Section 5.3: 1--17 (odd), 43, 51, 53, 65
• Since this includes some even numbered problems in sections 5.1 and 5.2, here are solutions for those problems

Non-graded Assignment 10

You might be interested in working on the following problems from the text. You do not need to submit solutions to these problems for a grade. Solutions should be found in the back of the book, but you can also contact the instructor if you have questions or want to check your understanding.

• Section 5.5: 3, 5, 9, 13, 19, 21, 25, 31, 33, 43, 47, 53, 59
• Section 5.6: 3--19 (odd)
• Worksheet on $u$-substitution and integration by parts (solutions)

Non-graded Assignment 12

Here are some sample $u$-substitution and integration by parts problems.

• Section 5.5: 3, 5, 9, 13, 19, 21, 25, 31, 33, 43, 47, 53, 59