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 Precalculus release 28.63
FULL VERSION
CONTENTS
  • Rectangular Coordinate System
    • Rectangular Coordinates of a Point
    • The Distance Formula
    • Circles
    • The Midpoint Formula
  • Functions and Graphs
    • Basic Definitions and Notations
    • Graphs of Functions
    • Composite Functions
    • Inverse Functions
    • Transformations of Graphs
      • Translating Graphs of Functions
      • Stretching and Compressing Graphs of Functions
      • Combining Transformations
    • Graphic Solution of Equations
    • Graphic Solution of Inequalities
  • Linear and Absolute Value Functions
    • Linear Equations and Inequalities in One Variable
      • Solving Linear Equations
      • Solving Linear Inequalities
      • Solving Equations Involving Absolute Values
      • Solving Inequalities Involving Absolute Values
    • Graphs and Graphic Solutions
      • Graph of the Function y=ax+b
      • Graph of the Function y=|ax+b|
      • Graphic Solution of the Equation |ax+b|=c
      • Graphic Solution of the Inequality |ax+b|>c
    • Equations of Straight Lines
      • Slope of a Line
      • Slope-Intercept Equation of a Line
      • Point-Slope Equation of a Line
      • Slopes for Parallel Lines
      • Slopes for Perpendicular Lines
  • Systems of Linear Equations and Inequalities
    • Systems of Two Linear Equations in Two Variables
      • Basic Concepts
      • Solutions Using Graphing
      • Solutions Using Substitution
      • Solutions Using Elimination
    • Determinants and Cramer's Rule
      • Determinants of Order 2
      • Determinants of Order 3
        • Definition and Properties of Determinants
        • Minors and Cofactors
        • The Expansion Theorem
      • Systems of Two Linear Equations in Two Unknowns. Cramer's Rule
      • Systems of Three Linear Equations in Three Unknowns. Cramer's Rule
    • Linear Inequalities in Two Variables
    • Systems of Linear Inequalities in Two Variables
  • Polynomial and Rational Functions
    • Division of Polynomials
    • Roots of Polynomial Equations
      • The Factor Theorem
      • Rational Zeros
      • The Remainder Theorem
      • Descartes' Rule of Signs
    • Graphing Rational Functions
      • Vertical Asymptotes for the Graph of Rational Functions
      • Horizontal Asymptotes for the Graph of Rational Functions
      • Oblique Asymptotes for the Graph of Rational Functions
  • Complex Numbers
    • Basic Definitions and Graphical Representation of Complex Numbers
    • Operations with Complex Numbers
      • Conjugate Complex Numbers
      • Addition
      • Subtraction
      • Multiplication
      • Division
  • Quadratic Functions
    • Completing the Square
    • Factoring Trinomials by Completing the Square
    • Graphs of Quadratic Functions
    • Maximum and Minimum Problems
    • Solving Quadratic Equations
      • Solving Quadratic Equations by Completing the Square
      • Solving Quadratic Equations by General Formula
      • Complex Roots of a Quadratic Equation
      • The Sum and the Product of the Roots
    • Graphic Solution of Quadratic Inequalities
  • Conic Sections
    • The Parabola
    • The Ellipse
    • The Hyperbola
  • Exponential and Logarithmic Functions
    • Graphs of Functions
      • Exponential Function
      • Logarithmic Function
      • Exponential and Logarithmic Functions
    • Properties of Logarithms
    • Solving Exponential and Logarithmic Equations
      • Solving Exponential Equations
      • Solving Logarithmic Equations
    • Applications
      • Compound Interest
      • Exponential Growth or Decay
  • Angles and their Measure
    • Basic Definitions
    • Converting between Degrees and Radians
  • Trigonometric Functions
    • Directed Length of Arc
    • The Sine Function
    • The Cosine Function
    • The Tangent Function
    • The Cotangent Function
    • The Secant Function
    • The Cosecant Function
  • Trigonometric Identities
    • Basic Identities
    • Multiple-Angle Identities
    • Sum and Difference Identities
  • Inverse Trigonometric Functions
    • The Inverse Sine Function
    • The Inverse Cosine Function
    • The Inverse Tangent Function
    • The Inverse Cotangent Function
    • Computations with Inverse Trigonometric Functions
  • Solving Triangles
    • Solving Right Triangles
      • One Side and One Angle are Given
      • Two Sides are Given
    • The Law of Cosines
    • The Law of Sines
  • Trigonometric Equations
    • Simple Trigonometric Equations
      • Solving Equation sinx = c
      • Solving Equation cosx = c
      • Solving Equation tanx = c
      • Solving Equation cotx = c
    • Equations Reducible to Simple Equations
  • Polar Coordinate System
    • Polar Coordinates
    • Conversion from Polar to Rectangular Coordinates
    • Conversion from Rectangular to Polar Coordinates
    • Graphing Polar Equations
      • Cardioid
      • Four-leaved Rose
      • Limacon
      • Spiral of Archimedes
  • Operations with Complex Numbers in Polar Form
    • Polar Form of a Complex Number
    • Multiplication of Complex Numbers in Polar Form
    • Division of Complex Numbers in Polar Form
    • Powers of Complex Numbers. DeMoivre's Theorem
    • Roots of Complex Numbers
  • Sequences and Series
    • Arithmetic Sequences
    • Arithmetic Series
    • Geometric Sequences
    • Geometric Series
    • Infinite Geometric Series
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ENTER Precalculus ENTER Precalculus

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