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College Algebra 1e
Chapter R: Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 Models, Algebraic Expressions, and Properties of Real Numbers
Section R.3 Integer Exponents and Scientific Notation
Section R.4 Rational Exponents and Radicals
Section R.5 Polynomials and Multiplication of Radicals
Problem Recognition Exercises: Simplifying Algebraic Expressions
Section R.6 Factoring
Section R.7 Rational Expressions and More Operations on Radicals
Chapter 1: Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications and Modeling with Linear Equations
Section 1.3 Complex Numbers
Section 1.4 Quadratic Equations
Problem Recognition Exercises: Simplifying Expressions versus Solving Equations
Section 1.5 Applications of Quadratic Equations
Section 1.6 More Equations and Applications
Section 1.7 Linear Inequalities and Compound Inequalities
Section 1.8 Absolute Value Equations and Inequalities
Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities
Chapter 2: Functions and Graphs
Section 2.1 The Rectangular Coordinate System and Graphing Utilities
Section 2.2 Circles
Section 2.3 Functions and Relations
Section 2.4 Linear Equations in Two Variables and Linear Functions
Section 2.5 Applications of Linear Equations and Modeling
Problem Recognition Exercises: Comparing Graphs of Equations
Section 2.6 Transformation of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2.8 The Algebra of Functions
Chapter 3: Polynomial and Rational Functions
Section 3.1 Quadratic Functions and Applications
Section 3.2 Introduction to Polynomial Functions
Section 3.3 Division of Polynomials and the Remainder and Factor Theorems
Section 3.4 Zeros of Polynomials
Section 3.5 Rational Functions
Problem Recognition Exercises: Polynomial and Rational Functions
Section 3.6 Polynomial and Rational Inequalities
Problem Recognition Exercises: Solving Equations and Inequalities
Section 3.7 Variation
Chapter 4: Exponential and Logarithmic Functions
Section 4.1 Inverse Functions
Section 4.2 Exponential Functions
Section 4.3 Logarithmic Functions
Problem Recognition Exercises: Analyzing Functions
Section 4.4 Properties of Logarithms
Section 4.5 Exponential and Logarithmic Equations
Section 4.6 Modeling with Exponential and Logarithmic Functions
Chapter 5: Systems of Equations and Inequalities
Section 5.1 Systems of Linear Equations in Two Variables and Applications
Section 5.2 Systems of Linear Equations in Three Variables and Applications
Section 5.3 Partial Fraction Decomposition
Section 5.4 Systems of Nonlinear Equations in Two Variables
Section 5.5 Inequalities and Systems of Inequalities in Two Variables
Problem Recognition Exercises: Equations and Inequalities in Two Variables
Section 5.6 Linear Programming
Chapter 6: Matrices and Determinants and Applications
Section 6.1 Solving Systems of Linear Equations Using Matrices
Section 6.2 Inconsistent Systems and Dependent Equations
Section 6.3 Operations on Matrices
Section 6.4 Inverse Matrices and Matrix Equations
Section 6.5 Determinants and Cramer’s Rule
Section 6.2 Inconsistent Systems and Dependent Equations
Section 6.3 Operations on Matrices
Section 6.4 Inverse Matrices and Matrix Equations
Section 6.5 Determinants and Cramer’s Rule
Section 6.3 Operations on Matrices
Section 6.4 Inverse Matrices and Matrix Equations
Section 6.5 Determinants and Cramer’s Rule
Section 6.4 Inverse Matrices and Matrix Equations
Section 6.5 Determinants and Cramer’s Rule
Section 6.5 Determinants and Cramer’s Rule
Problem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations
Chapter 7: Analytic Geometry
Section 7.1 The Ellipse
Section 7.2 The Hyperbola
Section 7.3 The Parabola
Section 7.2 The Hyperbola
Section 7.3 The Parabola
Section 7.3 The Parabola
Problem Recognition Exercises: Comparing Equations of Conic Sections and Investigating the General Equation
Chapter 8: Sequences, Series, Induction, and Probability
Section 8.1 Sequences and Series
Section 8.2 Arithmetic Sequences and Series
Section 8.3 Geometric Sequences and Series
Section 8.2 Arithmetic Sequences and Series
Section 8.3 Geometric Sequences and Series
Section 8.3 Geometric Sequences and Series
Problem Recognition Exercises: Comparing Arithmetic and geometric Sequences and Series
