Precalculus Course

Dive into a comprehensive 5-hour precalculus course covering essential mathematical concepts often used in programming. Explore functions, trigonometry, conic sections, and more with Dr. Linda Green, a lecturer from the University of North Carolina at Chapel Hill. Access detailed lecture notes on functions, trigonometry, conic sections, parametric equations, polar coordinates, and the difference quotient. Master topics such as increasing and decreasing functions, maximums and minimums on graphs, even and odd functions, transformations, piecewise and inverse functions, angles and their measures, trigonometric functions and identities, solving trig equations, laws of cosines and sines, parabolas, ellipses, hyperbolas, polar coordinates, and parametric equations. Gain a solid foundation in precalculus to enhance your mathematical skills and prepare for advanced studies or programming applications.

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.