Everyday Math Demystified - A Self Teaching Guide

Cover:

Contents:

PART 1: EXPRESSING QUANTITIES

CHAPTER 1 Numbers and Arithmetic

• Sets
• Numbering Systems
• Integers
• Rational, Irrational, and Real Numb
• 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

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