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. Also called Library of Functions. |
| Geometry | ||
| Harold's Geometry Cheat Sheet | Docx | Parallel Lines with Traversals |
| Harold's Geometry Circle Formulas | Docx | Rules of circle geometry, including: angles, arcs, chords, secants, and tangent lines. |
| Precalculus | ||
| Harold's Trigonometry Cheat Sheet | Docx | My trig supplement to Paul's Online Notes |
| Harold's Triangles Cheat Sheet | Docx | Law of Sines, Cosines and Tangents |
| 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 Graphing Rationals and Illegals 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 Partial Fractions (Precalculus) Cheat Sheet | Docx | My partial fractions expansion tips with an example |
| Harold's Vectors Cheat Sheet | Docx | My vector formulas with illustrations and examples |
| 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 (Calculus) Cheat Sheet | Docx | My partial fractions expansion tips with an 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 Modified GUESS Method Cheat Sheet | Docx | My modified GUESS method for solving physics and other word problems |
| Harold's Physics Units Cheat Sheet | Docx | My physics units of measure, symbols, and prefixes |
| 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 | ||
| Harold's Probability Cheat Sheet | Docx | My compilation of common probability formulas (SNHU MAT243) |
| Harold's Statistics: Descriptive Cheat Sheet | Docx | My AP Stats formulas with mean, variance, and statistical inference (SNHU MAT243) |
| Harold's Statistics: Distributions Cheat Sheet | Docx | My discrete and continuous Probability Distribution Functions (PDFs) (SNHU MAT243) |
| Harold's Statistics: Hypothesis Testing Cheat Sheet | Docx | My Hypothesis Testing made simple (SNHU MAT243) |
| Harold's Statistics: Linear Regression Analysis Cheat Sheet | Docx | My simple and multiple linear regression models (SNHU MAT243) |
| Harold's Statistics: ANOVA and Chi Squared Cheat Sheet | Docx | My analysis of variance (ANOVA) and chi squared tests (SNHU MAT243) |
| Discrete Math | ||
| Harold's Logic Cheat Sheet | Docx | The 7 basic logical symbols, laws, logical conditional, logical quantifiers (SNHU MAT 299 & MAT 230 Module 1) |
| Harold's Sets Cheat Sheet | Docx | Set notation, number sets, logic form of: set notation, numbers, geometry, and functions; Cartisian products, and set relations (SNHU MAT 299 & MAT 230 Module 1) |
| Harold's Counting Cheat Sheet | Docx | Counting methods, including sequences and sets (SNHU MAT 230 Module 3) |
| Harold's Directed Graphs Cheat Sheet | Docx | Directed graphs (digraphs) (SNHU MAT 230 Module 5) |
| Harold's Undirected Graphs and Trees Cheat Sheet | Docx | Undirected graphs and trees (SNHU MAT 230 Module 6) |
| Harold's Modular Arithmetic Cheat Sheet | Docx | Modular arithmetic: b = a (mod m) (SNHU MAT260) |
| Harold's Prime Numbers Cheat Sheet | Docx | Prime numbers (SNHU MAT 260 & MAT 230 Module 8) |
| Harold's Cryptology Cheat Sheet | Docx | Cryptology, encode, decode, symmetric, asymentric, public-private key, hash functions (SNHU MAT 260 & MAT 230 Module 8) |
| 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 Proofs Cheat Sheet | Docx | Techniques to solve mathematical proofs. (SNHU MAT 299 & MAT 230 Module 2) |
| Harold's Real Analysis Cheat Sheet | Docx | All theorems and definitions of MAT 470 Ch 1-6, Real Numbers and Real Analysis (SNHU MAT 470 & MAT 230 Module 5) |
| Harold's Abstract Algebra Cheat Sheet (DRAFT) | Docx | Abstract Algebra (SNHU MAT415) |
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Last updated 21 May 2023