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Textbook Table of Contents

Second Edition

 All sections in purple are new to the Second Edition

Chapter 1 Why Study Math?

Chapter 2 Algebraic Laws

2.1 Number Lines

2.2 The Properties of Addition and Subtraction

2.2.1 Variables

2.2.2 The Commutative Property of Addition

2.2.3 The Associative Property of Addition

2.2.4 The Addition Property of Equality

2.3 The Properties for Multiplication and Division

2.3.1 The Commutative Property of Multiplication

2.3.2 The Associative Property of Multiplication

2.3.3 The Multiplication Property of Equality

2.4 Combining the Properties of Addition and Multiplication

2.4.1 Repeating Numbers

2.4.2 The Distributive Property of Multiplication over Addition

2.5 Inequalities

2.5.1 Absolute Value

Chapter 3 Weight Room Mechanics

3.1 Weight Lifting Forces

3.1.1 Linear Forces

3.1.2 Rotational Forces

3.2 Axial Stress

3.2.1 Area

3.2.2 Circles

3.3 Bending Stress

3.3.1 Properties of Exponents

3.4 Designing Weights

3.4.1 Force

3.4.2 Volume

3.4.3 Specific Weight and Density

3.4.4 Composites (Percent Solution)

3.5 Exponential Notation

Chapter 4 Statistics

4.1 Statistical Measures

4.1.1 Dichotomous Populations

4.1.2 Numerical Populations

4.1.3 The Mean

4.1.4 The Median

4.1.5 Maximum, Minimum, and Range

4.2 Electronic Spreadsheets

Chapter 5 The Cartesian Coordinate System

5.1 Plotting Points

5.1.1 Surveying

5.2 Distance

5.2.1 The Pythagorean Theorem

5.3 Three-Dimensional Coordinate Systems

5.4 Center of Gravity

5.4.1 Determination of the Center of Gravity

Chapter 6 Speed

6.1 The Speed Equation

6.1.1 Unit Conversions

6.2 Plotting Travel

6.3 Slope

6.4 Lines of the Form y=mx+b

6.5 Intersections

6.6 The Addition Method

6.7 Other Types of Speed Problems

6.8 Bouncing

Chapter 7 Systems of Equations

7.1 Gaussian Elimination

7.2 Cramer's Rule

7.2.1 Practical Applications

7.2.2 Three by Three Matrices

Chapter 8 Vectors

8.1 Displacement Vectors

8.2 Addition of Vectors

8.2.1 Velocity Vectors

8.2.2 Force Vectors

8.3 Rotation Vectors

8.3.1 Radians

8.4 Multiplication Vectors

8.4.1 Scalar Product

8.4.2 Cross Product

Chapter 9 Parabolas

9.1 Parabolic Travel

9.1.1 Gravitational Acceleration

9.1.2 Parabolic Trajectories

9.1.3 Vertical Curves

9.2 Solving Quadratic Equations for x

9.2.1 Factoring

9.2.2 Completing the Square

9.3 The Quadratic Formula

9.4 Parabolic Reflectors

9.5 Other Conic Sections

9.5.1 The Circle

9.5.2 Horizontal Curves

9.5.3 The Ellipse

9.5.4 The Hyperbola

9.5.5 Orbits

Chapter 10 Polynomial Operations

10.1 Addition and Subtraction of Polynomials

10.2 Multiplication of Polynomials

10.3 Division of Polynomials

10.4 Special Products

10.5 Polynomial Fractions

10.5.1 Multiplication

10.5.2 Division

10.5.3 Addition and Subtraction

Chapter 11 Logarithms

11.1 Common Logarithms

11.1.1 Multiplication of Exponents

11.2 Natural Logarithms

Chapter 12 Cyclical Motion

12.1 The Trigonometric Functions

12.1.1 The Sine Function

12.1.2 The Cosine

12.1.3 The Tangent Function

12.1.4 The Cotangent Function

12.1.5 The Secant Function

12.1.6 The Cosecant Function

12.2 The Arc Functions

12.3 Sinusoidal Functions

12.3.1 Amplitude

12.3.2 Frequency

12.3.3 Practical Applications

Chapter 13 Complex Numbers

13.1 The Complex Plane

13.2 Applications

13.3 Natural Frequency

13.4 Aircraft Stability and Control

13.5 Imaginary Numbers in Electronics

Chapter 14 Infinite Series

14.1 Arithmetic Series

14.2 Geometric Series

14.3 Infinite Series