Review College Algebra & Trigonometry
(aka "Prepare for Calculus I")
All printable files posted on this site are formated in pdf form. Hopefully, these files will automatically open in your browser window, but if they don't you might need Adobe Acrobat Reader 8 to view them. Click here if you need to download Acrobat 8 Reader. Also, if your computer blocks all pop-up windows, you may need to turn that off.
These are the skills that you should walk into Calculus with. You should know these skills well enough to perform them without needing to refer to any notes.
- Lines: Writing linear equations, graphing linear equations, finding the slope between two points.
- Factoring: Factoring polynomials of all types.
- Exponent Rules: Correctly apply exponent rules, be able to rewrite radical expressions with rational exponents, be able to rewrite and evaluate expressions involving negative exponents.
- Trigonometry: Find missing angles or sides on a right triangle. Evaluate a trig function of a special angle, like sin (pi/6).
- Trig Identities: You should know the Pythagorean Identities, the trig identities for double angles, the definitions of the reciprocal functions, and the odd and even trig identities.
- Function Notation: Understand and use function notation, including how to find compositions of functions.
- Radicals: Be able to simplify and/or rationalize a radical term. Be able to perform mathematical cacluations involving radical terms.
- Exponential & Logarithms: Be able to solve an equation involving exponential or logarithmic terms. Be able to evaluate expressions that involve logs or exponential terms or factors.
- Geometry: Be able to find the perimeter, area, volume, or surface area of basic geometric figures.
- Graphing: You should be able to draw a graph for any of the following functions, labeling important characteristics, like asymptotes, endpoints, vertices, etc. without your calculator.
- Linear functions
- Basic quadratic and cubic functions
- Square root function
- Absolute value function
- Exponential functions
- Logarithmic functions
- Trigonometric functions (the six basic trig functions)
- The reciprocal function ( y = 1/x )
Web Resources for improving your College Algebra & Trigonometry Skills
- West Texas A & M University's College Algebra Tutorials
- Purplemath's Advanced Algebra Tutorials.
- Pauls Online Math Notes Algebra/Trigonometry Review
- Visual Calculus Precalculus Section
- Planet Math Trigonometry (scroll down the page)
This webpage is maintained by Maria H. Andersen. If you have suggestions for additional links, or would like to report a bad link, please email her.