Calculus and Vectors McGraw-Hill
ISBN:
0070126593 / 9780070126596
Chapter 1 Rates of Change
Chapter 2 Derivatives
2.1 Derivative of Polynomial Function
70
p.72
2.2 Tutorials of The Product Rule
87
p.88
2.3 Tutorials of Velocity, Acceleration, and Second Derivatives
38
p.97
2.4 Tutorials of The Chain Rule
62
p.111
2.5 Tutorials of Derivatives of Quotients
46
p.120
2.6 Tutorials of Rate of Change Problems
44
p.130
Derivatives Chapter Review
28
Chapter 3 Curve Sketching
3.1 Increasing and Decreasing Functions
64
p.150
3.2 Tutorials of Maxima and Minima
43
p.159
3.3 Tutorials of 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
12
p.195
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 Tutorials of Introduction to Vectors
28
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
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
27
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
Chapter 8 Lines and Planes
8.1 Tutorials of Equations of Lines in Two-Space
79
p.428
8.2 Tutorials of Equation of Planes
46
p.441
8.3 Tutorials of Properties of Planes
62
p.454
8.4 Tutorials of Intersections of Lines in Two-Space and Three-Space
23
p.462
8.5 Tutorials of Intersection of Lines and Planes
20
p.474
8.6 Tutorials of Intersections of Planes
27
p.494