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Precalculus Course

via freeCodeCamp

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Details

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Provider

freeCodeCamp
Pricing

Free Video
Languages

English
Effort

5 hours
Sessions

Self-Paced
Level

Beginner

Found in

Video-based mathematics course covering the standard precalculus curriculum: properties and transformations of functions, piecewise and inverse functions, angle measure and arclength, right-triangle and unit-circle trigonometry, graphs of trigonometric functions, trigonometric identities and equations, the laws of sines and cosines, conic sections (parabolas, ellipses, hyperbolas), polar coordinates, parametric equations and the difference quotient. Intended for students preparing for calculus or reviewing high-school and college-level algebra and trigonometry.

Syllabus

Functions.
Increasing and Decreasing Functions.
Maximums and minimums on graphs.
Even and Odd Functions.
Toolkit Functions.
Transformations of Functions.
Piecewise Functions.
Inverse Functions.
Angles and Their Measures.
Arclength and Areas of Sectors.
Linear and Radial Speed.
Right Angle Trigonometry.
Sine and Cosine of Special Angles.
Unit Circle Definition of Sine and Cosine.
Properties of Trig Functions.
Graphs of Sine and Cosine.
Graphs of Sinusoidal Functions.
Graphs of Tan, Sec, Cot, Csc.
Graphs of Transformations of Tan, Sec, Cot, Csc.
Inverse Trig Functions.
Solving Basic Trig Equations.
Solving Trig Equations that Require a Calculator.
Trig Identities.
Pythagorean Identities.
Angle Sum and Difference Formulas.
Proof of the Angle Sum Formulas.
Double Angle Formulas.
Half Angle Formulas.
Solving Right Triangles.
Law of Cosines.
Law of Cosines - old version.
Law of Sines.
Parabolas - Vertex, Focus, Directrix.
Ellipses.
Hyperbolas.
Polar Coordinates.
Parametric Equations.
Difference Quotient.