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As the best-selling text in the field, College Algebra provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution for both students and instructors.
P. Prerequisites
P.1 Review of Real Numbers and Their Properties
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 Graphical Representation of Data
1. Equations and Inequalities
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Shifting, Reflecting, and Stretching Graphs
2.6 Combinations of Functions
2.7 Inverse Functions
3. Polynomial Functions
3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Partial Fractions
4.4 Conics
4.5 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
6. Systems of Equations and Inequalities
6.1 Solving Systems of Equations
6.2 Two-Variable linear Systems
6.3 Multivariable Linear Systems
6.4 Systems of Inequalities
6.5 Linear Programming
7. Matrices and Determinants
7.1 Matrices and Systems of Equations
7.2 Operations with Matrices
7.3 The Inverse of a Square Matrix
7.4 The Determinant of a Square Matrix
7.5 Applications of Matrices and Determinants
8. Sequences, Series, and Probability
8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability
As the best-selling text in the field, College Algebra provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution for both students and instructors.
Table of Contents
P. Prerequisites
P.1 Review of Real Numbers and Their Properties
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 Graphical Representation of Data
1. Equations and Inequalities
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Shifting, Reflecting, and Stretching Graphs
2.6 Combinations of Functions
2.7 Inverse Functions
3. Polynomial Functions
3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Partial Fractions
4.4 Conics
4.5 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
6. Systems of Equations and Inequalities
6.1 Solving Systems of Equations
6.2 Two-Variable linear Systems
6.3 Multivariable Linear Systems
6.4 Systems of Inequalities
6.5 Linear Programming
7. Matrices and Determinants
7.1 Matrices and Systems of Equations
7.2 Operations with Matrices
7.3 The Inverse of a Square Matrix
7.4 The Determinant of a Square Matrix
7.5 Applications of Matrices and Determinants
8. Sequences, Series, and Probability
8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability