Calculus and Vectors McGraw-Hill
ISBN:
0070126593 / 9780070126596
Chapter 1 Rates of Change
Chapter 2 Derivatives
Prerequisite Skills
19
2.1 Derivative of Polynomial Function
70
p.72
2.2 The Product Rule
87
p.88
2.3 Velocity, Acceleration, and Second Derivatives
38
p.97
2.4 The Chain Rule
62
p.111
2.5 Derivatives of Quotients
46
p.120
2.6 Rate of Change Problems
46
p.130
Derivatives Chapter Review
28
Derivate Chapter Test
18
Chapter 3 Curve Sketching
3.1 Increasing and Decreasing Functions
64
p.150
3.2 Maxima and Minima
44
p.159
3.3 Concavity and the Second Derivative Test
40
p.166
3.4 Tutorials of Simple Rational Functions
24
p.176
3.5 Tutorials of Putting It All Together
19
p.185
3.6 Tutorials of Optimization Problems
23
p.195
Chapter Review Graphing and Optimization
26
Chapter Test Max and Min
17
Chapter 4 Derivatives of Sinusodial Functions
4.1 Tutorials of Instantaneous Rates of Change of Sinusodal Functions
26
p.214
4.2 Tutorials of Derivatives of the Sine and Cosine Functions
29
p.218
4.3 Tutorials of Differentiation Rules for Sinusodal Functions
29
p.228
4.4 Tutorials of Applications of Sinusoidal Functions and Their Derivatives
2
p.233
Chapter 5 Exponential and Logarithmic Functions
5.1 Tutorials of Rates of Change and the Number e
16
p.252
5.2 Tutorials of The Natural Logarithm
21
p.259
5.3 Tutorials of Derivatives of Exponential Functions
21
p.267
5.4 Tutorials of Differentiation Rules for Exponential Functions
43
p.277
5.5 Tutorials of Making Connections Exponential Models
p.285
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 Tutorials of Applications of Vector Addition
13
p.337
6.5 Tutorials of Resolution of Vectors Into Rectangular Components
5
p.347
Practice Test Sum of Vectors
23
Chapter 7 Cartesian Vectors
7.1 Tutorials of Cartesian Vectors
33
p.360
7.2 Tutorials of Dot Product
32
p.370
7.3 Tutorials of Applications of the Dot Product
45
p.378
7.4 Tutorials of Vectors in Three-Space
61
p.387
7.5 Tutorials of The Cross Product and Its Properties
40
p.403
7.6 Tutorials of Applications of the Dot Product and Cross Product
34
p.413