Become a Precalculus Master

Learn everything from Precalculus, then test your knowledge with 450+ practice questions

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“Krista is fantastic! I can’t believe how clear she makes math.”

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Course Summary

Learn everything you need to know to pass your Precalculus class and prepare you to go into Calculus 1 with a solid understanding of what’s going on. Video explanations, text notes, and quiz questions that won’t affect your class grade help you “get it” in a way most textbooks never explain.

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Course outline

The curriculum includes:

Analytic geometry
- Graph of a single point or no points
- Set of points equally distant from two points
- Set of points unequally distant from two points
- Eccentricity and directrix of a conic section
- Vertex, axis, focus, directrix of a parabola
- Equation of a parabolic conic section
- Polar equation of a parabolic conic section
- Vertex, axis, focus, directrix of an ellipse
- Equation of an elliptic conic section
- Polar equation of an elliptical conic section
- Vertex, axis, focus, directrix of a hyperbola
- Equation of a hyperbolic conic section
- Polar equation of a hyperbolic conic section
- Hyperbolic identities
Imaginary and complex numbers
- Polar form of complex numbers
- Multiplying complex numbers

Inverse trig functions
- Inverse trig relations
- Graphs of inverse trig functions
- Finding the value of an inverse trig function
Polar coordinates
- Converting polar coordinates
- Converting rectangular coordinates
- Expressing a polar point multiple ways
- Converting polar equations
- Converting rectangular equations
Graphing polar curves
- Graphing circles
- Graphing roses
- Graphing cardioids
- Graphing limacons
- Graphing lemniscates
- Intersection points of polar curves
- Graphing a polar region in the xy-plane
Parametric curves
- Sketching a parametric curve and its orientation
- Writing the equation as a parametric curve