 # Harold's Cheat Sheets 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) Go back to Tutoring Resources page

Last updated 21 May 2023