Exercises for A youtube Calculus Workbook Part 2

241 Pages·6.298 MB·English

by  Mynard Frederic.

Exercises for A youtube Calculus
Workbook Part II
a flipped classroom model
Frédéric Mynard
Download free books at
Frédéric Mynard
Exercises for A youtube Calculus
Workbook Part II:
a flipped classroom model
Download free eBooks at bookboon.com
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Exercises for A youtube Calculus Workbook Part II: a flipped classroom model
1st edition
© 2014 Frédéric Mynard & bookboon.com
ISBN 978-87-403-0620-0
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Exercises for A youtube Calculus Workbook Part II Contents
Contents
Preface 11
To the instructor: A brief description of a flipped classroom model 12
Self-graded homework 13
Mock Tests 14
Schedule 15
Your flipped classroom 18
1 M1: Natural Logarithm and Exponential 19
1.1 M1A Worksheet: Natural Logarithm 19
1.2 M1A Homework set: Natural Logarithm 21
1.3 M1A Homework set: Solutions 22
1.4 M1B Worksheet: inverse functions 24
1.5 M1B Homework set: Inverse functions 26
1.6 M1B Homework set: Solutions 27
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Exercises for A youtube Calculus Workbook Part II Contents
1.7 M1C Worksheet: natural exponential 29
1.8 M1C Homework set: natural exponential 30
1.9 M1C Homework set: Solutions 31
2 M 2: More transcendental functions 33
2.1 M2A Worksheet: general exponential and logarithm 33
2.2 M2A Homework set: general exponential and logarithm 35
2.3 M2A Homework set: Solutions 36
2.4 M2B Worksheet: inverse trig functions 38
360°
2.5 M2B Homework set: inverse trig functions 40
2.6 M2B Homework set: Solutions 41
.
2.7 M2C Worksheet: hyperbolic functions 44
thinking
2.8 M2C Homework set: hyperbolic functions 45
360°
2.9 M2C Homework set: Solutions 46
.
3 Rule of De l’Hospital thinking 48
3.1 M3 Worksheet: Rule of De l’Hospital 48
3.2 M3 Homework set: Rule of De l’Hospital 49
3.3 M3 Homework set: Solutions 50
360°
.
thinking
360°
.
thinking
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Exercises for A youtube Calculus Workbook Part II Contents
4 M 4: Integration review and Integration by parts 51
4.1 M4A Worksheet: Review of integration 51
4.2 M4A Homework set: Review of Integration 52
4.3 M4A Homework set: Solutions 53
4.4 M4B Worksheet: Integration by parts 54
4.5 M4B Homework set: Integration by parts 55
4.6 M4B Homework set: Solutions 56
Mock Test 1 58
Mock Test 1 Solutions 60
5 M 5: Trigonometric integrals and trigonometric substitutions 64
5.1 M5A Worksheet: Trig integrals 64
5.2 M5A Homework set: Trig integrals 65
5.3 M5A Homework solutions 66
5.4 M5B Worksheet: Trig substitution 68
5.5 M5B homework set: trig substitution 69
5.6 M5B homework set solutions 70
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Exercises for A youtube Calculus Workbook Part II Contents
6 M6: Partial Fractions 72
6.1 M6A Worksheet: partial fractions; non-repeated linear factors 72
6.2 M6A Homework set: partial fractions; non-repeated linear factors 73
6.3 M6A Homework set: Solutions 74
6.4 M 6B Worksheet: partial fractions (repeated linear factors; non-repeated irreducible
quadratic factors) 76
6.5 M 6B Homework set: partial fractions (repeated linear factors; non-repeated
irreducible quadratic factors) 77
6.6 M6B Homework set: Solutions 78
6.7 M 6C Worksheet: partial fractions (repeated irreducible quadratic factors) 80
6.8 M 6C Homework set: partial fractions (repeated irreducible quadratic factors) 81
6.9 M6C Homework set: Solutions 82
7 M7: Improper Integrals 85
7.1 M7A Worksheet: improper integrals, type I 85
7.2 M7A Homework set: Improper Integrals, type I 86
7.3 M7A Homework set: Solutions 87
7.4 M7B Worksheet: Improper integral type II and comparison 89
7.5 M 7B Homework set: Improper integral type II and comparison 90
7.6 M7B Homework set Solutions 91
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Exercises for A youtube Calculus Workbook Part II Contents
Mock Test 2 94
Mock Test 2 Solutions 96
8 M8: Parametric Curves 103
8.1 M8A Worksheet: parametric curves 103
8.2 M8A Homework set: parametric curves 104
8.3 M8A Homework set: Solutions 105
8.4 M8B Worksheet: length and surface areas 111
8.5 M8B Homework set: length and surface areas 112
8.6 M8B Homework set: Solutions 113
9 Polar curves 117
9.1 M9A Worksheet: polar coordinates 117
9.2 M9A Homework set: polar coordinates 119
9.3 M9A Homework set: Solutions 120
9.4 M9B Worksheet: polar curves 124
9.5 M9B Homework set: polar curves 125
9.6 M9B Homework set: Solutions 126
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Exercises for A youtube Calculus Workbook Part II Contents
Mock Test 3 130
Mock Test 3 Solutions 132
10 M10: Sequences and Series 140
10.1 M10A Worksheet: Sequences 140
10.2 M10A Homework set: Sequences 141
10.3 M10A Homework set: Solutions 142
10.4 M10B Worksheet: Sequences defined inductively 145
10.5 M10B Homework set: Sequences defined inductively 146
10.6 M10B Homework set: Solutions 147
10.7 M10C Worksheet: Series 153
10.8 M10C Homework set: Series 154
10.9 M10C Homework set: Solutions 155
11 M 11: Integral Test and Comparison Test 159
11.1 M11A Worksheet: Integral Test 159
11.2 M11A Homework set: Integral Test 160
11.3 M11A Homework set: Solutions 161
11.4 M11B Worksheet: Comparison for series 164
11.5 M11B Homework set: Comparison for Series 166
11.6 M11B Homework set: Solutions 167
12 M12: Alternating Series Test 172
12.1 M12 Worksheet: Alternating Series 172
12.2 M12 Homework set: Alternating Series 173
12.3 M12 Homework set: Solutions 174
13 M13: Ratio and Root Tests 178
13.1 M13 Worksheet: Ratio and Root Tests 178
13.2 M13 Homework set: Ratio and Root Test 179
13.3 M13 Homework set: Solutions 180
14 M 14: Strategies to test series for convergence 182
14.1 M14 Worksheet: review of numerical series 182
14.2 M14 Homework set: Review of numerical series 184
11.3 M14 Homework set: solutions 186
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Exercises for A youtube Calculus Workbook Part II Contents
Mock Test 4 193
Mock Test 4 Solutions 195
15 M 15: Power Series and Taylor Series 201
15.1 M15A Worksheet: Intervals of convergence 201
15.2 M15A Homework set: Intervals of convergence 202
15.3 M15A Homework set: Solutions 203
15.4 M15B Worksheet: power series representation 206
15.5 M15B Homework set: power series representation 207
15.6 M15B Homework set: Solutions 208
15.7 M15C Worksheet: Taylor series 212
15.8 M15C Homework set: Taylor Series 213
15.9 M15C Homework set: Solutions 214
16 M 16: Applications of power series 217
16.1 M16 Worksheet: applications of power series 217
16.2 M16 Homework set: Applications of power Series 219
16.3 M16 Homework set: Solutions 220
Sample Final Exam 224
Sample Final Solutions 227
Endnotes 241
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