Calculus and Vectors Nelson
ISBN:
0176374434 / 978176374433
Chapter 1 Introduction to Calculus
1.1 Radical Expressions Rationalizing Denominators
25
p.6
1.2 The Slope of a Tangent
56
p.10
1.3 Rates of Change
31
p.22
Mid Chapter Review Rates of Change
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1.4 Limit of a Function
34
p.34
1.5 Properties of Limits
43
p.40
1.6 Continuity
40
p.48
Chapter Review Limits and Continuity
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Chapter Test
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Chapter 2 Derivatives
2.1 The Derivative Function
48
p.65
2.2 The Derivatives of Polynomial Functions
70
p.76
2.3 The Product rule
35
p.85
Mid Chapter Review upto Product Rule
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p.92
2.4 The Quotient Rule
39
p.94
2.5 Derivative of Composite Functions
55
p.99
Chapter Review Derivative Rules
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Chapter Test - Derivatives(Nel)
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Chapter 3 Derivatives and their Applications
3.1 High Order Derivatives, Velocities, and Acceleration
45
p.119
3.2 Max and Min on a Interval
35
p.130
Mid Chapter Review Derivative Application
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3.3 Optimization Problems
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p.141
3.4 Optimization in Economics and Science
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p.148
Chapter Review Optimization
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Chapter Test on Optimization
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Chapter 4 Curve Sketching
4.1 Increasing and Decreasing Functions
35
p.165
4.2 Critical Points, Local Maxima, Local Minima
47
p.172
4.3 Vertical and Horizontal Asymptotes
47
p.181
Graphing Mid Chapter Review
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4.4 Concavity and Points of Inflection
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28
p.198
4.5 An Algorithm for Curve Sketching
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p.207
Chapter Review Curve Sketching
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Chapter Test Graphing
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Chapter 5 Derivatives of Exponential and Trigonometric Functions
5.1 Derivatives of Exponential Functions, y=e^x
47
p.227
5.2 Derivative of y =b^x
17
p.235
5.3 Optimization Problems Involving Exponential Functions
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24
p.241
Mid Chapter Review Derivatives of Exponential Functions
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5.4 The Derivatives of sinx and cosx
48
p.250
5.5 Derivative of tan(x)
26
p.258
5.6 Chapter Review Log and Trig Functions
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56
Chapter Test on Logs and Trig Derivatives
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Cumulative Calculus Review
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Chapter 6 Introduction to Vectors
6.0 Chapter Pre Req. Review of Trig
10
6.1 An Introduction to Vectors
25
p.275
6.2 Vector Addition
43
p.282
6.3 Multiplication of a Vector by a Scalar
45
p.293
6.4 Properties of Vectors
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p.302
Mid Chapter Review
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6.5 Vectors in 2D and 3D
48
p.310
6.6 Operations with Algebraic Vectors in 2D
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p.319
6.7 Operation with Vectors in 3D
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p.327
6.8 Linear Combination and Spanning Sets
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p.334
Introduction to Vectors Chapter Review
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Chapter 7 Applications of Vectors
7.1 Vectors as Forces
27
p.352
7.2 Vectors as Velocity
22
p.365
7.3 The Dot Product of Two Geometric Vectors
28
p.371
7.4 The Dot Product of Algebraic Vectors
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p.379
Mid Chapter Review
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7.5 Scalar and Vector Projections
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p.390
7.6 The Cross Product of Two Vectors
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p.401
7.7 Applications of Dot and Cross Product
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p.409
Applications of Vectors Chapter Review
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Chapter 8 Equations of Lines and Planes
8.1 Vector and Parametric Equations of a Line in 2D
23
p.427
8.2 Cartesian equation of a Line
30
p.435
8.3 Vector, Parametric and Symmetric Equations of a line in 3D
25
p.445
8.7 Mid Chapter Review
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8.4 Vector and Parametric Equations as Plane
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p.453
8.5 The Cartesian Equation of a Plane
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p.461
8.6 Sketching Planes in 3D
15
p.470
Chapter Review
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Chapter Test
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Chapter 9 Relations between Points, Lines and Planes
9.1 The intersection of a Line with a Plane and the Intersection of Two Lines
24
p.489
9.2 System of Equations
22
p.499
9.3 The Intersection of Two Planes
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p.510
9.4 The Intersection of Three Planes
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p.520
9.5 The Distance from a Point to a Line in R2
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p.534
9.6 The Distance from a Point to a Plane
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p.542
Relations between Points, Lines and Planes Chapter Review
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Relations between Points, Lines and Planes Test
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Vectors Cumulative Review
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