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

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