What is included with this book?
When not writing and hosting the Math Dude’s Quick and Dirty Tips to Make Math Easier podcast, Jason Marshall works as a staff research scientist at the California Institute of Technology (Caltech) studying the infrared light emitted by starburst galaxies and quasars. Before that, he was a postdoctoral scholar at NASA's Jet Propulsion Laboratory (JPL). Jason obtained a PhD from Cornell University, where he worked with the team of astronomers that built the IRS (nothing to do with taxes) instrument for the Spitzer Space Telescope and helped teach many physics and astronomy classes. In addition to these astronomical pursuits, Jason has many earthly interests: traveling the world, tinkering with technology, watching and playing soccer, and spending time with his wife, Shannon, fixing up their small but increasingly comfortable Los Angeles area home.
Introduction | p. 1 |
What Can This Book Do for You? | p. 1 |
How Should You Use This Book? | p. 7 |
Prologue: Why Math Isn't An Awful Nerd | p. 9 |
Basic Number Properties | p. 10 |
Basic Arithmetic | p. 11 |
Let the Game Begin! | p. 13 |
Looking for Patterns in Numbers | p. 17 |
Exponents and Perfect Squares | p. 19 |
A Surprising Sequence of Numbers | p. 20 |
Wrap-up | p. 26 |
Final Exam | p. 27 |
What Is Algebra, Really? | |
Taking Algebra To The Streets | p. 33 |
The Secret Algebra You've Already Been Doing | p. 34 |
Using Variables | p. 38 |
Writing Equations | p. 40 |
What's the Point of Algebra? | p. 42 |
Square Roots | p. 46 |
The Pythagorean Theorem | p. 49 |
Why Algebra Matters in the Real World | p. 56 |
Algebra in Your Backyard | p. 62 |
Algebra Tutorial: How to Make a Graph | p. 63 |
Challenge Problems | p. 71 |
Final Exam | p. 72 |
Algebra Basics | p. 76 |
What Are Variables? | p. 77 |
How Do Variables Work? | p. 82 |
What Are Algebraic Expressions? | p. 86 |
Algebra Tutorial: The Order of Operations | p. 88 |
Algebra Tutorial: Practice Problem | p. 92 |
Intro to Equations | p. 95 |
Halftime Recap | p. 99 |
How You Should Think About Equations | p. 106 |
Algebra Tutorial: How to Solve an Equation | p. 107 |
Algebra Tutorial: How to Solve an Algebra Problem | p. 123 |
Wrap-up | p. 129 |
Final Exam | p. 130 |
Understanding Algebra Better | |
Walk The Number Line | p. 135 |
A Brief History of Numbers | p. 136 |
Algebra and Decimal Numbers | p. 141 |
Algebra and the Number Line | p. 143 |
Absolute Values | p. 144 |
Number Boot Camp | p. 155 |
Linear Equations | p. 164 |
Algebra Tutorial: How to Solve Single Variable Linear Equations | p. 167 |
Linear Equations with Absolute Values | p. 174 |
Algebra Tutorial: How to Solve Absolute Value Equations | p. 176 |
Linear Inequalities | p. 179 |
Algebra Tutorial: How to Solve Linear Inequalities | p. 181 |
Wrap-up | p. 193 |
Final Exam | p. 194 |
Arithmetic 2.0: Math With Variables, Exponents, And Roots | p. 197 |
Arithmetic 1.0: Preparing for Algebra | p. 198 |
Doing Arithmetic with "Real" Numbers | p. 201 |
Arithmetic 2.0 (Here Comes the Algebra) | p. 214 |
Algebra Tutorial: How to Simplify Expressions | p. 220 |
Math Properties | p. 223 |
Algebra Tutorial: How to Combine Like Terms | p. 238 |
Exponentiation | p. 240 |
Roots | p. 248 |
Exponentiation and Roots Combined | p. 254 |
Irrational Exponents | p. 256 |
Can You Remind Me of the Point of Algebra? | p. 259 |
Final Exam | p. 260 |
Solving Algebra Problems | |
Polynomials, Functions, And Beyond | p. 265 |
What Are Polynomials? | p. 266 |
Evaluating Polynomials | p. 274 |
Functions | p. 279 |
Visualizing Polynomial Functions | p. 287 |
How to Solve Problems with Polynomials | p. 296 |
Algebra Tutorial: How to Find and Write the Equations of Lines | p. 300 |
Equations of Horizontal and Vertical Lines | p. 309 |
Systems of Equations | p. 320 |
Algebra Tutorial: How to Solve a System of Equations | p. 321 |
Systems of Inequalities | p. 328 |
Algebra Tutorial: How to Solve a System of Inequalities | p. 329 |
Challenge Problem #1 | p. 333 |
Final Exam | p. 335 |
The Root Of The Problem | p. 339 |
Challenge Problem #2 | p. 339 |
Roots of Polynomials | p. 344 |
Factoring Polynomials | p. 360 |
Algebra Tutorial: How to Factor Polynomials | p. 372 |
Solving Quadratic Equations | p. 383 |
Challenge Problem #3 | p. 401 |
Game Over? | p. 409 |
Final Exam | p. 410 |
The Math Dude's Solutions | p. 413 |
Acknowledgments | p. 475 |
Index | p. 477 |
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