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▾
Precalc
▸
Conic sections
•
Intro to conic sections
•
Center and radii of an ellipse
•
Foci of an ellipse
•
Intro to hyperbolas
•
Foci of a hyperbola
•
Maximizing the product of two integers, given their integer sum
•
Hyperbolas not centered at the origin
•
Standard equation of a circle
▸
Functions and relations
•
Composition of functions
•
Operations with functions
•
Graphing the sum of trig functions from their graphs
•
Finding and verifying the inverse of a nonlinear function
•
Graphically finding the increasing, decreasing, and constant intervals
•
Vertical and horizontal line tests
•
Restrict the domain then find the inverse
•
Sketching the inverse of a function from its graph
▸
Characteristics of functions
•
Finding extrema graphically
•
End behavior
▸
Rational functions
•
Partial fraction decomposition
•
Simplifying the difference quotient
•
Pick's theorem
▸
Sigma notation and the binomial theorem
•
Converting sums between sigma notation and expanded form
•
Properties of sigma notation
•
Using the binomial theorem
▸
Series
•
Geometric series
•
Geometric series with summation notation
•
Arithmetic series with summation notation
▸
Logic
•
De Morgan's laws for propositional logic
›
Precalc
Other resources
Look to
TLMaths
for many excellent precalc videos.
YouTube videos
11234
Domain of a Square Root Function & Rational Functions - Precalculus
The Organic Chemistry Tutor
11526
Identifying The Relative Maximum and Minimum Values of a Function
The Organic Chemistry Tutor
11755
Average Rate of Change of a Function Over an Interval
The Organic Chemistry Tutor
11442
How To Find The Inverse of a Function
The Organic Chemistry Tutor
11291
Remainder Theorem and Synthetic Division of Polynomials
The Organic Chemistry Tutor
11463
Solving Polynomial Equations By Factoring and Using Synthetic Division
The Organic Chemistry Tutor
11690
Writing Polynomial Functions With Given Zeros
The Organic Chemistry Tutor
11737
Descartes Rule of Signs
The Organic Chemistry Tutor
11400
Solving Polynomial Inequalities
The Organic Chemistry Tutor
11451
Rational Inequalities
The Organic Chemistry Tutor
More YouTube videos...
Webpages
111
Pre-Calculus
Tarrou's Chalk Talk
Textbooks
Active Prelude to Calculus
by Matthew Boelkins
PDF
Functions Modeling Change:A Precalculus Course
by Marcel B. Finan
PDF
Precalculus
by Carl Stitz and Jeff Zeager
PDF
Pre-Calculus
by Salah Abed, Sonia Farag, Stephen Lane, Tyler Wallace, and Barbara Whitney
PDF
Precalculus: An Investigation of Functions
by David Lippman and Melonie Rasmussen
PDF
Precalculus
by David H. Collingwood, K. David Prince, and Matthew M. Conroy
PDF
Precalculus
by Thomas Tradler and Holly Carley
PDF