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Index
Cover Page
Everyday Math Demystified
Copyright page
Contents
Preface
Acknowledgments
Everyday Math Demystified
Part 1: Expressing Quantities
Chapter 1 Numbers and Arithmetic
Sets
Numbering Systems
Integers
Rational, Irrational, and Real Numbers
Number Operations
More Principles Worth Memorizing
Still More Principles
Quiz
Chapter 2 How Variables Relate
This versus That
Simple Graphs
Tweaks, Trends, and Correlation
Quiz
Chapter 3 Extreme Numbers
Subscripts and Superscripts
Power-of-10 Notation
In Action
Approximation and Precedence
Significant Figures
Quiz
Chapter 4 How Things Are Measured
Systems of Units
Base Units in SI
Other Units in SI
Conversions
Quiz
Test: Part 1
Part 2: Finding Unknowns
Chapter 5 Basic Algebra
Single-VariabLe Linear Equations
Two-by-Two Linear Equations
Quiz
Chapter 6 More Algebra
Quadratic Equations
Beyond Reality
One-Variable, Higher-Order Equations
Quiz
Chapter 7 A Statistics Sampler
Experiments and Variables
Populations and Samples
Distributions
More Definitions
Quiz
Chapter 8 Taking Chances
The Probability Fallacy
Definitions
Properties of Outcomes
Permutations and Combinations
Quiz
Test: Part 2
Part 3:Shapes and Places
Chapter 9 Geometry on the Flats
Fundamental Rules
Triangles
Quadrilaterals
Circles and Ellipses
Quiz
Chapter 10 Geometry in Space
Points, Lines, and Planes
Straight-Edged Objects
Cones, Cylinders, and Spheres
Quiz
Chapter 11 Graphing It
The Cartesian Plane
Straight Lines in the Cartesian Plane
The Polar Coordinate Plane
Some Examples
Quiz
Chapter 12 A Taste of Trigonometry
More about Circles
Primary Circular Functions
Secondary Circular Functions
The Right Triangle Model
Pythagorean Extras
Quiz
Test: Part 3
Part 4: Math In Science
Chapter 13 Vectors and 3D
Vectors in the Cartesian Plane
Rectangular 3D Coordinates
Vectors in Cartesian Three-Space
Flat Planes in Space
Straight Lines in Space
Quiz
Chapter 14 Growth and Decay
Growth by Addition
Growth by Multiplication
Exponential Functions
Rules for Exponentials
Logarithms
Rules for Logarithms
Graphs Based on Logarithms
Quiz
Chapter 15 How Things Move
Mass and Force
Displacement
Speed and Velocity
Acceleration
Momentum
Quiz
Test: Part 4
Final Exam
Answers to Quiz, Test, and Exam Questions
Suggested Additional References
Index
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