Lectures and Assignments

After each lecture, you are expected to complete the problems associated with the lecture. You should:

Go to the appropriate section or sections of your e-book by Briggs, et. al. The problems can be found at the end of each section of the e-book.
Complete the problems before the next lecture or recitation. If you are not able to complete a problem on your own, we encourage you to seek help from other people. You also have access to the Student's Solutions Manual for your MyLab and Mastering Pearson eText by going to MyLab and Mastering Course Home. In the MyLab and Mastering Course Home, select Video and Resource Library. Then select Student's Solutions Manual. Seeking help is the first step in the learning process, but if you needed help to complete a problem, you are not yet ready for the quiz or exam. You need to continue to practice until you can do similar problems on your own. In many instances, there are extra randomized practice problems in MyLab and Mastering.
Keep a notebook containing all of the work you did for each problem. Don't just do the work in your head. Handwrite all of your work. It will help you to remember what you have done when you are studying. It will also help you to communicate with others when you have questions or when you are helping other members of your math community. If you have questions, your instructor will ask to see all of the handwritten work that you have done on the problem.
For most problems, MyLab contains extra randomized examples of the the textbook problems that you can do for extra practice. We encourage you to use MyLab for extra practice, but remember to handwrite your work even when doing extra practice problems on MyLab.

Assignment List
Lesson number	Topic	Section	Problems
1	Vectors in the Plane	13.1: Vectors in the Plane	17, 19, 20, 26, 28, 30, 44, 57, 61, 63
2	Vectors in three dimensions	13.2: Vectors in Three Dimensions	9, 15, 19, 21, 23, 27, 32, 35, 41, 47, 51, 63, 73, 74
3	Dot products	13.3: Dot Products	3, 15, 19, 25, 31, 37, 41, 55, 56, 65, 77, 83
4	Cross products	13.4: Cross Products	2, 15, 23, 30, 35, 41, 52, 53, 59, 63
5	Regions between curves	6.2: Regions Between Curves	1, 3, 4, 10, 15, 19, 27, 32, 39, 43, 63
6	Volumes by slicing	6.3: Volume by Slicing	3, 13, 15, 19, 23, 37, 45, 49, 55, 66, 70
7	Volumes by shells	6.4: Volume by Shells	1, 2, 3, 13, 15, 18, 21, 39, 43, 45, 55, 63
8	Arc length and surface area	6.5: Length of Curves 6.6: Surface Area	(6.5) 1, 13, 17, 35, 36, 39 (6.6) 2, 3, 9, 11, 18, 20, 33, 39
9	Physical applications, Part I	6.7: Physical Applications	1, 3, 13, 19, 22, 23, 25, 29, 31
10	Physical applications, Part II	6.7: Physical Applications	5, 8, 36, 39, 43, 45, 47, 52, 55
11	Integration techniques and integration by parts	5.5: Substitution Rule 8.1: Basic Approaches 8.2: Integration by Parts	(5.5) 55 (8.1) 1, 7 , 11, 12 (8.2) 1, 6, 10, 13, 24, 26, 27, 34, 36, 59, 63
12	Trigonometric integrals, Part I	8.1: Basic Approaches 8.3: Trigonometric Integrals	(8.1) 56 (8.3) 1, 9, 13, 15, 20, 22, 24, 58
13	Trigonometric integrals, Part II	8.3: Trigonometric Integrals	30, 35, 39, 42, 53, 56
14	Trigonometric substitution, Part I	8.4: Trigonometric Substitutions	1, 2, 3, 7, 11, 16, 25, 27, 41, 58
15	Trigonometric substitution, Part II	8.4: Trigonometric Substitutions	19, 22, 26, 29, 32, 54, 57, 63, 67, 68, 83
16	Partial fractions decompositions, Part I	8.5: Partial Fractions	1, 5, 17, 20, 25, 29, 35, 39, 45, 46, 67
17	Partial fractions decompositions, Part II	8.5: Partial Fractions 8.6: Integration Strategies	(8.5) 3, 10, 12, 34, 49, 50, 51, 52, 56, 58, 61, 77, 84 No problems are assigned from Section 8.6, but you should read this section because it summarizes all of the techniques we have learned. If you need extra practice with integration and help deciding which technique you should use to approach an integral, trying some of the problems at the end of this section would give you good practice.
18	Improper Integrals	8.9: Improper Integrals	1, 6, 7, 9, 12, 15, 19, 21, 28, 41, 53, 64, 94
19	Sequences and series overview	10.1: An Overview	1, 2, 3, 10, 12, 13, 19, 24, 28, 31, 35, 41,61, 67, 69
20	Sequences	10.2: Sequences	5, 10, 13, 22, 33, 35, 39, 43, 51, 54, 61, 70, 76, 82, 108
21	Infinite series	10.3: Infinite Series	5, 6, 7, 32, 39, 50, 57, 65, 69, 83, 87, 111
22	Divergence Test and Integral Test	10.4: The Divergence and Integral Tests	3, 4, 10, 12, 13, 17, 21, 22, 26, 28, 33, 53, 55, 69
23	Comparison Tests	10.5: Comparison Tests	1, 3, 5, 9, 11, 13, 14, 22, 29, 51, 54, 59, 64
24	Alternating series	10.6: Alternating Series	7, 11, 15, 16, 23, 34, 36, 37, 39, 45, 64
25	Ratio Test and Root Test	10.7: The Ratio and Root Tests	8, 10, 18, 23, 28, 34, 36, 43, 46, 54, 60, 61
26	Choosing a convergence test	10.8: Choosing a Convergence Test	11, 18, 23, 25, 27, 33, 37, 41, 43, 47, 53, 59, 79, 83, 88 (The next two problems are only available in the e-book at the end of the section. They are not available as randomized problems in MyLab) 56, 62
27	Approximating functions with polynomials, Part I	4.6: Linear Approximation and Differentials 11.1: Approximating Functions with Polynomials	(4.6) 3, 19 (11.1) 1, 3, 5, 14, 18, 19, 25, 29, 31, 83
28	Approximating functions with polynomials, Part II	11.1: Approximating Functions with Polynomials	41, 43, 45, 46, 48, 50, 51, 52, 57, 61
29	Power series, Part I	11.2: Properties of Power Series	3, 7, 9, 11, 13, 29, 37, 41, 44, 59
30	Power series, Part II	11.2: Properties of Power Series	5, 47, 49, 51, 54, 55, 61, 63, 64, 66, 70, 72, 74
31	Taylor series	11.3: Taylor Series	1, 2, 3, 7, 11, 16, 27, 29, 31, 39, 65, 66
32	Working with Taylor series	11.4: Working with Taylor Series	7, 17, 22, 25, 28, 37, 38, 49, 52, 56, 59, 61, 75, 78
33	Polar coordinates, Part I	1.4: Trigonometric Functions and Their Inverses 12.2: Polar Coordinates	(1.4) 19, 20 (12.2) 1, 11, 14, 27, 29, 33, 37, 41, 48, 51, 53
34	Polar coordinates, Part II	12.2: Polar Coordinates	7, 15, 19, 54, 56, 61, 63, 65, 67, 91, 96, 99, 109
35	Area and length in polar coordinates	12.3: Calculus in Polar Coordinates	7, 45, 47, 49, 56, 65, 67, 74