This course covers a comprehensive set of topics in precalculus, including functions, trigonometry, and calculus preparation. By the end of the course, students will be able to understand functions, trigonometric concepts, and solve various types of trigonometric equations. The course teaches skills such as analyzing functions, working with trigonometric identities, and graphing trigonometric functions. The teaching method involves video lectures and practical examples. This course is designed for beginners who want to build a strong foundation in precalculus before moving on to calculus or higher-level mathematics.
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.
Inverse Trig Functions.
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
Academic Lesson
