Chapter 2: Limits and Continuity

2.1: Rates of Change and Tangents to Curves
1 , 3 , 7 , 11 , 15 , 17 , 19 , 25 , 26
Free Fall Video
2.2: Limit of a Function and Limit Laws
1-11 odd , 15 , 19 , 21 , 23 , 27 , 31 , 33 , 35 , 43 , 47 , 51 , 55 , 57 , 59 , 61 , 63 , 73 , 77 , 79
2.3: The Precise Definition of a Limit
1 , 3 , 5 , 7 , 11 , 15 , 19 , 23 , 31 , 33 , 35 , 37 , 43 , 47 , 53 , 54 , 59
2.4: One-Sided Limits
1-11 odd , 17 , 19 , 23 , 27 , 33 , 37 , 41 , 47 , 48 , 49 , 50 , 53
2.5: Continuity
1-39 odd , 41 , 45 , 49 , 55-71 odd
2.6: Limits Involving Infinity; Asymptotes of Graphs
1 , 3 , 7 , 9 , 11 , 13-51 odd , 55 , 59 , 63-71 odd , 75 , 77 , 83 , 87 , 91 , 105 , 109

Chapter 3: Differentiation

3.1: Tangents and the Derivative at a Point
1 , 5 , 7 , 13 , 15 , 19 , 23 , 25 , 29 , 31 , 33 , 35 , 37
3.2: The Derivative as a Function
3 , 5 , 7 , 11 , 13 , 17 , 19 , 27-33 all , 35 , 37 , 41 , 43 , 45-50 all , 59
3.3: Differentiation Rules
1-61 odd , 65 , 74 , 77 , 79
3.4: The Derivative as a Rate of Change
1-7 odd , 9 , 13 , 15 , 19 , 21 , 23 , 25 , 29
3.5: Derivatives of Trigonometric Functions
1-33 odd , 37 , 47 , 59 , 61 , 63
3.6: The Chain Rule
9 , 13 , 15 , 21 , 23 , 24 , 27 , 29 , 33 , 39 , 43 , 47 , 53 , 67 , 71 , 77 , 79 , 89 , 99 , 105 , 111
3.7: Implicit Differentiation
1 , 7 , 15 , 19 , 27 , 33 , 39 , 41 , 45 , 47 , 51
3.8: Derivatives of Inverse Functions and Logarithms
4 , 11 , 15 , 19 , 27 , 31 , 41 , 45 , 51 , 59 , 61 , 63 , 65 , 67 , 71 , 77 , 81 , 85 , 89 , 93 , 99 , 103
3.9: Inverse Trigonometric Functions
1-20 all , 21-41 odd , 47 , 49
3.10: Related Rates
13 , 15 23 , 27 , 29 , 33 , 35 , 39 , 41 , 43 , 47
3.11: Linearization and Differentials
5 , 11 , 13 , 14 , 17 , 21 , 25 , 31 , 35 , 37 , 39 , 41 , 43 , 53 , 57 , 61 , 63 , 66

Chapter 4: Applications of Derivatives

4.1: Extreme Values of a Function
1-19 odd , 25 , 27 , 31 , 35 , 37 , 39 , 49, 51 , 53 , 57-63 odd , 75 , 77
Turn In: 17,27,53,75
4.2: The Mean Value Theorem
1-15 odd , 21 , 23 , 25 , 27 , 35 , 37 , 41 , 43 , 47 , 51 , 56 , 57 , 61 , 65
Turn In: 5,13,27,41,57
4.3: Monotonic Functions and the First Derivative Test
1 , 5 , 9 , 13 , 15 , 17 , 25 , 33 , 35 , 41 , 45 , 67 , 71 , 73 , 75 , 85
Turn In: 13,15,41,67,75
4.4: Concavity and Curve Sketching
1-13 odd , 23, 27 , 31 , 37 , 41 , 47 , 51 , 55 , 57 , 61 , 67 , 79 , 81 , 83 , 85 , 89 , 95 , 97 , 101 , 103 , 107 , 109 , 111 , 114 , 115 , 121
Turn In: 7,27,37,67,81,95
4.6: Applied Optimization
5 , 7 , 15 , 19 , 27 , 33 , 39 , 43 , 45 , 47 , 51 , 53 , 55 , 59 , 65 , 67 , 69
Turn In: 15,33,39,45,47,55,69
4.7: Newton's Method
Use a spreadsheet to approximate to the precision of the machine the questions in the text:
1 , 3 , 5 , 7 , 9 , 16 , 17 , 29 , 30 , 32
4.8: Antiderivatives
1 , 7 , 13 , 15 , 19 , 23 , 27 , 35 , 41 , 45 , 49 , 53 , 61 , 65 , 71 , 79 , 85 , 89 , 91 , 95 , 97 , 101 , 103 , 105 , 107 , 111 , 115 , 117 , 119 , 121 , 123 , 125 , 129
Turn In: 15,19,23,41,61,111,117,121

Chapter 5: Integration

5.1: Area and Estimating with Finite Sums
1 , 7 , 9 , 11 , 13 , 15 , 17 , 19 , 21
Turn In: 7,9,17,19,21
5.2: Sigma Notation and Limits of Finite Sums
1-49 odd
Turn In: 1,11,17,25,35,39,47
5.3: The Definite Integral
1-9 odd , 15-27 odd , 35 , 41-49 odd , 55 , 61 , 63 , 67 , 71 , 73 , 75 , 79 , 81 , 83 , 85
Turn In: 5,15,45,55,73,79
5.4: The Fundamental Theorem of Calculus
1 , 3 , 7 , 11 , 15 , 19 , 23 , 25 , 27 , 29 , 35 , 39-55 odd , 61 , 63 , 65 , 69 , 73 , 75 , 81 , 85
Turn In: 23,39,47,49,61,67,81
5.5: Indefinite Integrals and the Substitution Method
17-65 odd , 73-79 odd
Turn In: 21,31,39,53,77
5.6: Substitution and Area Between Curves
15-47 odd , 49 , 51 , 55 , 57 , 61 , 65 , 69 , 73 , 81 , 85 , 87 , 89 , 91 , 93 , 99 , 101 , 109 , 114 , 117
Turn In: 39,47,49,57,73

What if There is No Antiderivative?

8.7: Numerical Integration
1-9 odd , 11 , 17 , 21 , 23-29 odd , 28 , 39
Turn In: 7,17,25,39