Precalculus Resources
There are three types of precalculus materials listed below: a) downloadable files in PDF format that I have created as part of my tutoring business; b) external links to specific articles; and c) external links to websites containing a variety of materials. These items are grouped by mathematical category. You may scroll to the desired category using the menu in the right sidebar.
Polynomials <back to top>
- Polynomial Factoring
This PDF document identifies the basic steps in factoring a polynomial.
- Polynomial Analysis Steps
This PDF document identifies the basic steps in analyzing the characteristics of a polynomial.
- Polynomial Analysis Steps: Example
This PDF document provides an example illustrating the basic steps in analyzing the characteristics of a polynomial.
- Khan Academy Factoring and Polynomials Properties
The Khan Academy provides numerous videos on factoring and polynomial properties.
Rational Functions <back to top>
- Operations on Rational Expressions
This PDF document identifies the basic steps in simplifying, adding, subtracting, multiplying, dividing, and solving basic rational expressions.
- Rational Function Asymptotes
This PDF document identifies methods for identifying rational function asymptotes.
- Khan Academy Simplifying Rational Expressions Videos
The Khan Academy provides numerous videos on simplifying rational expressions.
- Khan Academy Rational Expressions, Equations, and Inequalities Videos
The Khan Academy provides numerous videos on rational expressions, equations, and inequalities.
- Khan Academy Graphing Rational Functions Videos
The Khan Academy provides numerous videos on graphing rational functions.
Trigonometry <back to top>
- Basic Right Triangle Trig Tools
This PDF document lists the basic tools for right triangle trigonometry.
- Laws of Sines and Cosines
This PDF documents characteristics of the Law of Sines and Law of Cosines.
- Simplifying Trig Expressions
This PDF documents steps to simplify trig expressions.
- Solving Trig Equations
This PDF documents steps to solve trig equations.
- Khan Academy Trigonometry Videos
The Khan Academy provides numerous videos for trigonometry topics.
Vectors <back to top>
- Vector/Parametric Equations of a Line
This PDF document describes the vector and parametric equation of a line.
- Vector/Parametric Equations of a Plane
This PDF document describes the vector and parametric equations of a plane.
- Vector Cross Product
This PDF document describes the vector cross product.
- Khan Academy Vector Videos
The Khan Academy provides numerous videos for vector topics.
Limits <back to top>
- Limit Analysis Steps
This PDF document identifies the steps in evaluating a simple limit.
- Khan Academy Limit Videos
The Khan Academy provides numerous videos for limit and continuity topics.
Combinatorics <back to top>
- Combinatorics (Counting)
This PDF document identifies the basic formulae of combinatorics (counting).
- Khan Academy Combinatorics and Probability Videos
The Khan Academy provides numerous videos for combinatoric and probability topics.
Reference Sites <back to top>
- Montgomery County Precalculus Resources
Montgomery County Maryland Precalculus curricula and practice exams.
Worksheets <back to top>
- UC Davis Precalculus Practice Worksheets
UC Davis provides various review and work sheets.
Videos & Tutorials <back to top>
- Khan Academy Precalculus Videos
The Khan Academy provides numerous videos for precalculus topics. This is the general link; specific links are listed above.
- PurpleMath Mini-Tutorials
PurpleMath provides numerous mini-tutorials for algebra, precalculus, and trig topics.
- Daniel Kopsas Precalculus Videos
Daniel Kopsas (a community college math lecturer) provides numerous videos for precalculus, trig, and algebra topics.
- Analyzemath.com Precalculus Videos
Analyzemath.com provides numerous videos for precalculus topics.
