This course on Precalculus aims to teach students the foundational concepts required for programming. The course covers topics such as functions, trigonometry, conic sections, parametric equations, polar coordinates, and the difference quotient. Students will learn skills including analyzing functions, trigonometric identities, graphing trigonometric functions, and solving trigonometric equations. The teaching method involves lectures and providing lecture notes for reference. This course is intended for individuals interested in strengthening their mathematical background for programming purposes.
Overview
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.
Taught by
freeCodeCamp.org
