Precalculus


Harold's Cheat Sheets    
Harold's Trigonometry Parent Functions Cheat Sheet Docx My parent functions and their inverses for trigonometry and hyperbolics. Also called Library of Functions.
Harold's Illegals Cheat Sheet Docx My list of common illegal (undefined) math operations
Harold's Graphing Rationals Cheat Sheet Docx My tips on graphing rational polynomial functions P(x)/Q(x)
Harold's Exponential Growth and Decay Cheat Sheet Docx My natural growth and decay formulas used in finance, radioactive decay half-lifes, and biology bacteria growth
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 of the other trig formulas
Harold's Partial Fraction Expansion (Precalculus) Cheat Sheet Docx My partial fraction expansion tips with a Precalculus example
Harold's Vectors Cheat Sheet Docx

My vector formulas with illustrations and examples

Harold's Polar Parent Functions Cheat Sheet Docx My parent functions for polar coordinates. Also called Library of Functions.
Harold's Matrix Cheat Sheet Docx

My matrix formulas with illustrations and examples

Harold's Series Cheat Sheet Docx My arithmentic and geometric series, permutations, and combinations formulas
Harold's Precalculus Cheat Sheet Docx My rectangular, polar, and parametric coordinate equations for conics sections
Harold's Finances Cheat Sheet Docx My basic financial equations for compounded interest and computing loan payments. See also Math and Money Fun for Students.
Harold's Hyperbolics Cheat Sheet Docx My formulas for hyperbolic functions for precalcuolus through calculus
Harold's TI-84 Grid for Parametric Art Docx My template for creating parametric art on a TI-84 calculator
Harold's Math Etiquette Cheat Sheet Docx Lists bad math etiquette, illegal math operations, and how to polish your work.
     
Paul's Online Math Notes    
Trig Cheat Sheet - Full
Link
Fits on four pages (source link) (Texas: Math 2412)
Trig Cheat Sheet - Reduced
Link
Fits on one page (2 pages per side) (source link) (Texas: Math 2412)
Algebra & Trig Review
Link
Review for Calculus 1 students (source link) (Texas: Math 2412)
Complex Number Primer
Link
Common complex number concepts (source link) (Texas: Math 2412)
     
BarCharts QuickStudy Guide    
Precalculus    

Precalculus Equations

   

Trigonometry

   
     
Textbooks Link Free Open-Source Textbooks
Precalculus Link OpenStax free open-source textbook - Precalculus
Algebra and Trigonometry Link OpenStax free open-source textbook - Algebra and Trigonometry
     
Books    
Schaum's Outline - Precalculus   Schaum's Outline of Precalculus, 2nd Edition (2008)
Precalculus: Graphical, Numerical, Algebraic   Franklin Demana, Bert K. Waits, Gregory D. Foley and Daniel Kennedy, 7th Edition (2006)
     
AP   Advanced Placement (AP)
AP Practice Exams - Precalculus   College Board - precalculus Link (new 2024)
AP Practice Exams - Precalculus - 2024 - 2024 ZIP File   College Board - AP Precalculus Exams(2024-2024) ZIP File (1 MB)
     
Links    
WolframAlpha.com   Computational Knowledge Engine
Wikipedia.org   The Free Encyclopedia that anyone can edit
Conic Secions   Determining Conic Sections by Inspection
Partial Fractions   Wikipedia article explaining partial fraction expansion
Calculator Tutorials for the TI-83/TI-84   Calculator Tutorials for the TI-83/TI-84 by John LaPrise
Desmos Graphing Calculator   Free Web-based graphing calculator
Trigonometry - Unit Circles   Trigonometry of unit circles along with the best unit circle chart
     
iPad Apps   Apple's App Store
Graphing Calculator   Best Graphing Calculator
WolframAlpha   The Google of Mathematics
Math Ref   Best list of Math, Physics, and Chemistry Formulas
Formulas - Formulas for Calculus   More Formulas
PCalc   Best Calculator
Symbolic Calculator HD   Symbolic Calculator (CAS)
PocketCAS Pro   Symbolic Calculator (CAS)
SpaceTime   Graphing
Pi Cubed   Calculator

Samples of my student's parametric art on a TI-84 calculator.

Parametric Art Hall of Fame Date Photo
Ryan - TI-84 Art - Futurama May 2012 Donald Duck
Jessica - TI-84 Art - Donald Duck May 2011 Donald Duck
Lauren - TI-84 Art - Mini Mouse May 2011 Mini Mouse

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Last updated 5 May 2025