Math013 Calculus I - Practice Problems

J. Stewart. Calculus - Early Transcendentals, 8th ed.

(Answers to odd-numbered problems are at the end of the textbook.)

Week 1

Appendix A. Numbers, inequalities and absolute values.
odd problems: 5, 7, 9, 13, 19, 23, 25, 29, 33, 37, 45, 51, 55, 61
Appendix B. Line Equations.
odd problems: 1, 9, 15, 21, 25, 29, 33, 35, 37, 51, 59
even problems: 56, 58
1.1. Functions and their graphs.
odd problems: 1, 3, 7, 9, 23, 25, 31, 33, 35, 43, 45, 47, 55, 57, 59, 61, 65, 79
even problems: 2, 8, 10, 14, 28, 34, 40, 48, 62, 64, 66, 72
1.2. Essential functions.
odd problems: 1, 3, 9, 11, 15, 17
even problems: 4, 8, 10, 12
1.3. New functions from old.
odd problems: 1, 3, 5, 13, 23, 29, 33, 35, 37, 39, 45, 51, 53, 57
even problems: 4, 16, 32, 36, 50, 58, 66
1.4. Exponential functions.
odd problems: 3, 5, 7, 11, 15, 17, 19, 21, 23, 31
even problems: 10, 16, 24

Week 2

Appendix D. Trigonometric functions and their inverses.
odd problems: 1, 7, 13, 23, 25, 29, 55, 61, 65, 69, 79, 83, 85
even problems: 2, 8, 16, 24, 26, 30, 32
1.5. Inverse functions.
odd problems: 1, 3, 5, 7, 9, 15, 19, 23, 25, 29, 33, 37, 39, 49, 55, 63, 65, 67, 71, 75
even problems: 2, 10, 12, 22, 26, 34, 40, 48, 54, 58

Week 3

2.1. Secant and tangent lines, velocity.
odd problems: 1, 3, 5, 7
even problems: 2
2.2. Limits.
odd problems: 5, 7, 9, 11, 15, 17, 19, 23, 25, 37
even problems: 10, 20, 32, 34, 36
2.3. Limits and limit laws.
odd problems: 5, 7, 9, 11, 13, 15, 17, 21, 23, 35, 39, 41, 43, 45, 49, 57
even problems: 2, 10, 18, 26, 36, 40, 46, 48

Week 4

2.5. Continuity.
odd problems: 3, 9, 11, 17, 19, 21, 25, 35, 37, 41, 45, 49, 53, 63
even problems: 38, 42, 46, 48, 54, 64, 66
2.6. Limits at infinity,horizontal asymptotes.
odd problems: 3, 7, 15, 17, 19, 23, 25, 29, 39, 61
even problems: 2, 4, 16, 26, 28, 36 , 62
2.7. Derivatives and rates of change.
odd problems: 1, 5, 7, 9, 11, 15, 17, 21, 25, 29, 33, 43, 47, 53, 59
even problems: 8, 12, 18, 46, 48, 54, 60

Week 5

2.8. Derivative as a function.
odd problems: 3, 13, 21, 25, 27, 35, 37, 43, 47, 49, 51, 57
even problems: 4, 28, 42
3.1. Derivatives of polynomials and exponential functions.
odd problems: 1, 7, 9, 11,19, 23, 27, 35, 47, 51, 55, 57, 59, 67, 69
even problems: 2, 24, 32, 52, 60, 64, 70, 80
3.2. Product and quotient rules.
odd problems: 1, 5, 11, 19, 23, 27, 43, 47, 49
even problems: 2, 16, 44, 52
3.3. Derivatives of trigonometric functions
odd problems: 3, 11, 13, 31, 35, 37, 41, 45
even problems: 30, 50, 54
3.4. Chain rule.
odd problems: 3, 5, 9, 23, 37, 45, 61, 63, 65, 75, 95
even problems: 34, 44, 60, 74, 80, 82

Week 6

3.5. Implicit differentiation.
odd problems: 5, 11, 27, 29, 39, 45, 51, 59, 69, 71, 73, 75
even problems: 4, 76, 80
3.6. Derivatives of logarithmic functions.
odd problems: 9, 15, 21, 25, 41, 53
even problems: 30, 42

Week 7

3.7. Rates of change.
odd problems: 5, 9, 11, 15, 21, 31, 33
even problems: 14, 28, 30, 34
3.8. Exponential growth and decay.
odd problems: 3, 9, 13,17, 19
even problems: 10, 16
3.9. Related rates.
odd problems: 5, 13, 15, 33, 35, 41, 45
even problems: 4, 22, 26, 40

Week 8

3.10. Linear approximations.
odd problems: 3, 5, 23, 25, 35
even problems: 4, 16, 34
4.8. Newton's Method.
odd problems: 7, 11, 17, 29, 33
even problems: 4, 32, 42
4.1. Maximum and minimum.
odd problems: 3, 5, 11, 13, 27, 29, 37, 43, 57, 65, 69, 75
even problems: 4, 6, 20, 30, 54

Week 9

4.2. Mean Value Theorem.
odd problems: 3, 7, 11, 17, 25, 27, 29, 33
even problems: 2, 16, 22, 32, 34
4.3. Derivatives and the shape of a graph.
odd problems: 1, 7, 11, 25, 31, 39, 49, 67, 81
even problems: 2, 8, 26, 50,80, 82, 84
4.4. L'Hopital's rule.
odd problems: 11, 13, 21, 25, 43, 53, 55, 69, 73, 77, 85, 89
even problems: 48, 78, 82, 88

Week 10

4.5. Curve sketching.
odd problems: 5, 11, 13, 15, 25, 37, 57
even problems:12, 22, 44, 54
4.6. More on graphing.
odd problems: 3, 11, 13, 33
even problems:12
4.7. Optimization problems.
odd problems: 5, 9, 13, 19, 31, 43, 63, 67, 71, 73
even problems: 12, 24, 46, 62

Week 11

4.9. Antiderivatives.
odd problems: 3, 5, 7, 9, 25, 37, 39, 49, 51, 53, 67, 77
even problems: 12, 32, 38, 44, 62, 72
5.1. Areas and distances.
odd problems: 1, 3, 13, 15, 17, 21, 27
even problems: 2, 18, 22
5.2 The definite integral.
odd problems: 1, 3, 5, 9, 15, 17, 19, 25, 33, 37, 50, 71
even problems: 2, 18, 34, 52, 66

Week 12

5.3. The Fundamental Theorem of Calculus.
odd problems: 3, 9, 15, 27, 31, 39, 41, 55, 65, 69, 73, 75, 81, 83
even problems: 2, 10, 12, 24, 48, 58, 66, 70, 76, 80
5.4. Indefinite integrals and net change.
odd problems: 1, 3, 7, 21, 23, 27, 35, 53, 57, 59, 61
even problems: 26, 32, 54, 58, 62

Week 13

5.5. The substitution rule.
odd problems: 3, 5, 7, 13, 17, 23, 39, 57, 59, 69, 73, 79, 87, 91, 93
even problems: 60, 68, 82, 86, 90