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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

    • 11234Domain of a Square Root Function & Rational Functions - Precalculus
      The Organic Chemistry Tutor
    • 11526Identifying The Relative Maximum and Minimum Values of a Function
      The Organic Chemistry Tutor
    • 11755Average Rate of Change of a Function Over an Interval
      The Organic Chemistry Tutor
    • 11442How To Find The Inverse of a Function
      The Organic Chemistry Tutor
    • 11291Remainder Theorem and Synthetic Division of Polynomials
      The Organic Chemistry Tutor
    • 11463Solving Polynomial Equations By Factoring and Using Synthetic Division
      The Organic Chemistry Tutor
    • 11690Writing Polynomial Functions With Given Zeros
      The Organic Chemistry Tutor
    • 11737Descartes Rule of Signs
      The Organic Chemistry Tutor
    • 11400Solving Polynomial Inequalities
      The Organic Chemistry Tutor
    • 11451Rational Inequalities
      The Organic Chemistry Tutor
      • More YouTube videos...

    Webpages

    • 111Pre-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