Albert Einstein said, *"If you can't explain it simply, you don't understand it well enough."* I strongly believe that simple is better than complex. Simple is harder to achieve. I go out of my way to simplify subjects.

These are my notes created after giving the same lesson 4-5 times in one week. I am lazy and would rather provide a cheat sheet to my students than to write it all down once more. I include PDF documents so students can freely access them on their mobile devices. I include Microsoft Word documents so teachers can easily modify them to suit their needs.

Basic Math |
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Harold's Times Tables | Docx | My 25 x 25 multiplication table with practice sheet and tips |

Algebra |
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Harold's Parent Functions Cheat Sheet | Docx | My parent functions and their inverses for algebra, trig and the conics |

Harold's Finances Cheat Sheet | Docx | My basic financial equations for compounded interest and computing loan payments |

Harold's Linear Optimization Cheat Sheet | Docx | How to optimize a system of equations using the Simplex Method in Standard Form |

Geometry |
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Harold's Geometry Cheat Sheet | Docx | Parallel Lines with Traversals |

Pre-Calculus |
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Harold's Trigonometry Cheat Sheet | Docx | My trig supplement to Paul's Online Notes |

Harold's Trig Proofs Cheat Sheet | Docx | My proofs of three (3) trig formulas that allow us to easily derive ALL the trig formulas |

Harold's Precalculus Cheat Sheet | Docx | My rectangular, polar, and parametric coordinate equations for conics sections |

Harold's Exponential Growth and Decay Cheat Sheet | Docx | My natural growth and decay formulas used in finance, radioactive decay half-lifes, and biology growth |

Harold's Illegals and Graphing Rationals Cheat Sheet | Docx | My list of common illegal math operations and tips on graphing P(x)/Q(x) |

Harold's Series Cheat Sheet | Docx | My arithmentic and geometric series, permutations, and combinations formulas |

Harold's TI-84 Grid for Parametric Art | Docx | My template for creating parametric art on a TI-84 calculator |

Calculus |
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Harold's Fundamental Theorem of Calculus Cheat Sheet | Docx | My attempt to make the Fundamental Theorems of Calculus easy to understand |

Harold's Calculus Notes Cheat Sheet | Docx | My list of all of the main formulas and techniques for AP Calculus BC |

Harold's Calculus BC Cheat Sheet | Docx | My rectangular, polar, and parametric coordinate equations for conics and the calculus |

Harold's Business Calculus Cheat Sheet | Docx | Minimum equations you must memorize for business calculus |

Harold's Partial Fractions Cheat Sheet | Docx | My partial fractions expansion tips and integration example |

Harold's Series Convergence Tests Cheat Sheet | Docx | My sequences and series convergence and divergence tests on 1 page |

Harold's Taylor Series Cheat Sheet | Docx | My Maclaurin and Taylor Series with many examples |

Harold's Calculus 3 Cheat Sheet | Docx | My rectangular, cylindrical, spherical, parametric, vector and matrix equations for conics and 3D calculus |

Harold's Center of Mass Cheat Sheet | Docx | My Center of Mass in 1-D, 2-D, and 3-D for both Discrete and Continuous |

Physics |
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Harold's Word Problems Cheat Sheet | Docx | My modified GUESS method for solving physics and word problems |

Harold's Physics Cheat Sheet | Docx | My physics equations organized to show similarities |

Harold's Physics of Projectiles Cheat Sheet | Docx | My classic kinematic solution of a cannon ball's trajectory |

Harold's Physics Kinematic Graphs Cheat Sheet | Docx | My using graphs to determine position, velocity and acceleration |

Harold's Physics of Forces Cheat Sheet | Docx | My forces on an inclined plane solution |

Harold's Physics of Forces with Pully Cheat Sheet | Docx | My forces on an inclined plane with a pully and a second weight solution |

Harold's Electromagentic Spectrum Cheat Sheet | Docx | My electromagnetic spectrum with light and radio waves |

Harold's Physics Optics Cheat Sheet | Docx | My physics diagrams for concave lenses, convex lenses, and convex mirrors |

Harold's Physics Doppler Effect Cheat Sheet | Docx | My doppler effect of both sound and light |

Harold's Center of Mass Cheat Sheet | Docx | My Center of Mass in 1-D, 2-D, and 3-D for both Discrete and Continuous |

Statistics |
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Harold's Statistics Cheat Sheet | Docx | My AP Stats formulas with mean, variance, and statistical inference |

Harold's Statistics PDFs Cheat Sheet | Docx | My discrete and continuous Probability Distribution Functions (PDFs) |

Harold's Statistics Hypothesis Testing Cheat Sheet | Docx | My Hypothesis Testing made simple |

Harold's Probability Cheat Sheet | Docx | My compilation of common probability formulas |

Discrete Math |
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Harold's Boolean Algebra Cheat Sheet | Docx | Boolean algebra, logic gates, truth tables |

Harold's Flip-Flop Cheat Sheet | Docx | S-R, D, J-K, and T Flip-Flops |

Advanced Math / Proofs |
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Harold's Logic and Sets Cheat Sheet | Docx | The 7 basic logical symbols, laws, rules, set notation, logic statements, and mapping between them (SNHU MAT 299) |

Harold's Proofs Cheat Sheet | Docx | Techniques to solve mathematical proofs (SNHU MAT 299) |

Harold's Real Analysis Cheat Sheet - DRAFT | Docx | Real numbers and real analysis (SNHU MAT 470) |

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