# College Algebra

### Course Info

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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