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 | ||
| Harold's Times Tables | Docx | My 25 x 25 multiplication table with practice sheet and tips |
| Algebra | ||
| Harold's Parent Functions Cheat Sheet | Docx | My parent functions and their inverses for algebra, trig and the conics |
| Geometry | ||
| Harold's Geometry Cheat Sheet | Docx | Parallel Lines with Traversals |
| Pre-Calculus | ||
| 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 | ||
| 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 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 |
| Business Math | ||
| Harold's Finances Cheat Sheet | Docx | My basic financial equations for compounded interest and computing loan payments |
| Harold's Simplex Tableau Cheat Sheet | Docx | How to optimize a linear system of equations using the Simplex Method in Standard Form |
| Harold's Business Calculus Cheat Sheet | Docx | Minimum equations you must memorize for business calculus |
| Physics | ||
| 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 | (SNHU MAT243) | |
| Harold's Probability Cheat Sheet | Docx | My compilation of common probability formulas |
| Harold's Descriptive 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 Statistics: Linear Regression Analysis Cheat Sheet | Docx | My simple and multiple linear regression models |
| Harold's Statistics: ANOVA and Chi Squared Cheat Sheet | Docx | My analysis of variance (ANOVA) and chi squared tests |
| Discrete Math | ||
| 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 | ||
| Harold's Logic and Sets Cheat Sheet | Docx | The 7 basic logical symbols, laws, rules, set notation, logic statements, and mapping between them (SNHU MAT299) |
| Harold's Proofs Cheat Sheet | Docx | Techniques to solve mathematical proofs (SNHU MAT299) |
| Harold's Real Analysis Cheat Sheet | Docx | All Theorems and Definitions Ch 1-6, Real Numbers and Real Analysis (SNHU MAT470) |
| Harold's Abstract Algebra Cheat Sheet (DRAFT) | Docx | Abstract Algebra (SNHU MAT415) |
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Last updated 24 June 2022