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 College Algebra release 15.33
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
    • Solving Linear Equations
    • Solving Linear Inequalities
    • Equations of Straight Lines
      • 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
      • Slope of a Line
      • Point-Slope Equation of a Line
      • Slope-Intercept Equation of a Line
      • Slopes for Parallel Lines
      • Slopes for Perpendicular Lines
    • Solving Equations Involving Absolute Values
    • Solving Inequalities Involving Absolute Values
    • Systems of Linear Inequalities
      • Graphic Solution of a System of Two Linear Inequalities in Two Variables
      • Graphic Solution of a System of Three Linear Inequalities
  • 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
      • The Sum and the Product of the Roots
    • Graphic Solution of Quadratic Inequalities
  • Polynomial and Rational Functions
    • Operations with Polynomials
      • Addition of Polynomials
      • Subtraction of Polynomials
      • Multiplication of Polynomials
      • Division of Polynomials
    • The Remainder Theorem
    • The Factor Theorem
    • Descartes' Rule of Signs
    • Rational Zeros
    • Asymptotes
      • Vertical Asymptotes for the Graph of Rational Functions
      • Horizontal Asymptotes for the Graph of Rational Functions
      • Oblique Asymptotes for the Graph of Rational Functions
  • 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
      • Growth and Decay
  • Second Degree Equations
    • The Parabola
    • The Ellipse
    • The Hyperbola
  • 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
  • Matrices
    • Basic Definitions
    • Matrix Addition
    • The Scalar Product
    • Matrix Multiplication
    • Inverses of Matrices
    • Systems of Equations: Use of Matrix Inverses
  • Complex Numbers
    • Basic Definitions and Graphical Representation of Complex Numbers
    • Operations with Complex Numbers
      • Conjugate Complex Numbers
      • Addition
      • Subtraction
      • Multiplication
      • Division
    • Complex Roots of a Quadratic Equation
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