# Review College Algebra & Trigonometry

#### (aka "Prepare for Calculus I")

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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.