College Algebra

Course Info

Table of Contents

Chapter P – PREREQUISITES

  • P.1  Real Numbers
  • P.2  Exponents and Radicals
  • P.3  Polynomials and Factoring
  • P.4  Rational Expressions
  • P.5  The Cartesian Plane
  • P.6  Representing Data Graphically

Chapter 1 – FUNCTIONS AND THEIR GRAPHS

  • 1.1  Graphs of Equations
  • 1.2  Lines in the Plane
  • 1.3  Functions
  • 1.4  Graphs of Functions
  • 1.5  Shifting, Reflecting, and Stretching Graphs
  • 1.6  Combinations of Functions
  • 1.7  Inverse Functions

Chapter 2 – SOLVING EQUATIONS AND INEQUALITIES

  • 2.1  Linear Equations and Problem Solving
  • 2.2  Solving Equations Graphically
  • 2.3  Complex Numbers
  • 2.4  Solving Quadratic Equations Algebraically
  • 2.5  Solving Other Types of Equations Algebraically
  • 2.6  Solving Inequalities Algebraically and Graphically
  • 2.7  Linear Models and Scatter Plots

Chapter 3 – POLYNOMIAL AND RATIONAL FUNCTIONS

  • 3.1  Quadratic Functions
  • 3.2  Polynomial Functions of Higher Degree
  • 3.3  Real Zeros of Polynomial Functions
  • 3.4  The Fundamental Theorem of Algebra
  • 3.5  Rational Functions and Asymptotes
  • 3.6  Graphs of Rational Functions
  • 3.7  Quadratic Models

 

 

Chapter 4 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS

  • 4.1  Exponential Functions and Their Graphs
  • 4.2  Logarithmic Functions and Their Graphs
  • 4.3  Properties of Logarithms
  • 4.4  Solving Exponential and Logarithmic Equations
  • 4.5  Exponential and Logarithmic Models
  • 4.6  Nonlinear Models

Chapter 5 – LINEAR SYSTEMS AND MATRICES

  • 5.1  Solving Systems of Equations
  • 5.2  Systems of Linear Equations in Two Variables
  • 5.3  Multivariable Linear Systems
  • 5.4  Matrices and Systems of Equations
  • 5.5  Operations with Matrices
  • 5.6  The Inverse of a Square Matrix
  • 5.7  The Determinant of a Square Matrix
  • 5.8  Applications of Matrices and Determinants

Chapter 6 – SEQUENCES, SERIES, AND PROBABILITY

  • 6.1  Sequences and Series
  • 6.2  Arithmetic Sequences and Partial Sums
  • 6.3  Geometric Sequences and Series
  • 6.4  Mathematical Induction
  • 6.5  The Binomial Theorem
  • 6.6  Counting Principles
  • 6.7  Probability

Chapter 7 – CONICS AND PARAMETRIC EQUATIONS

  • 7.1  Circles and Parabolas
  • 7.2  Ellipses
  • 7.3  Hyperbolas
  • 7.4  Parametric Equations

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