Calculus and Vectors McGraw-Hill
ISBN:
0070126593 / 9780070126596
Chapter 1 Rates of Change
Chapter 2 Derivatives
Prerequisite Skills
48
2.1 Derivative of Polynomial Function
70
p.72
2.2 The Product Rule
87
p.88
2.3 Velocity, Acceleration, and Second Derivatives
46
p.97
2.4 The Chain Rule
65
p.111
2.5 Derivatives of Quotients
46
p.120
2.6 Rate of Change Problems
47
p.130
Derivatives Chapter Review
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28
Derivate Chapter Test
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18
Chapter 3 Curve Sketching
3.1 Increasing and Decreasing Functions
64
p.150
3.2 Maxima and Minima
43
p.159
3.3 Concavity and the Second Derivative Test
40
p.166
3.4 Simple Rational Functions
24
p.176
3.5 Putting It All Together
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36
p.185
3.6 Optimization Problems
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33
p.195
Chapter Review Graphing and Optimization
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26
Chapter Test Max and Min
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18
Chapter 4 Derivatives of Sinusodial Functions
4.1 Instantaneous Rates of Change of Sinusodal Functions
26
p.214
4.2 Derivatives of the Sine and Cosine Functions
29
p.218
4.3 Differentiation Rules for Sinusodal Functions
42
p.228
4.4 Applications of Sinusoidal Functions and Their Derivatives
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16
p.233
4.5 Chapter Review
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24
4.6 Chapter Test
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22
Chapter 5 Exponential and Logarithmic Functions
5.1 Rates of Change and the Number e
21
p.252
5.2 The Natural Logarithm
21
p.259
5.3 Derivatives of Exponential Functions
21
p.267
5.4 Differentiation Rules for Exponential Functions
43
p.277
5.5 Making Connections Exponential Models
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8
p.285
5.6 Chapter Review
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29
5.7 Chapter Test
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19
Chapter 6 Geometric Vectors
6.1 Introduction to Vectors
38
p.304
6.2 Tutorials of Addition and Subtraction of Vectors
41
p.313
6.3 Tutorials of Multiplying a Vector by a Scalar
36
p.328
6.4 Applications of Vector Addition
43
p.337
6.5 Resolution of Vectors Into Rectangular Components
5
p.347
6.6 Chapter Review
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23
Practice Test Sum of Vectors
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23
Chapter 7 Cartesian Vectors
7.1 Cartesian Vectors
33
p.360
7.2 Dot Product
32
p.370
7.3 Applications of the Dot Product
45
p.378
7.4 Vectors in Three-Space
61
p.387
7.5 Cross Product and Its Properties
40
p.403
7.6 Applications of the Dot Product and Cross Product
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34
p.413
7.7 Chapter Review
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31
7.8 Chapter Test
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38
Chapter 8 Lines and Planes
8.1 Equations of Lines in Two-Space
79
p.428
8.2 Equation of Planes
47
p.441
8.3 Properties of Planes
62
p.454
8.4 Intersections of Lines in Two-Space and Three-Space
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23
p.462
8.5 Intersection of Lines and Planes
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20
p.474
8.6 Intersections of Planes
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66
p.494
8.7 Chapter Review
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41
8.8 Chapter Test
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27
8.10 Course Review
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172