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Intermediate Algebra: Graphs and Functions, Third Edition, designed specifically for courses that incorporate early graphing and emphasize problem solving and real-life applications. The use of calculators is integrated throughout the text, but remains optional. The authors' proven approach combines proven pedagogy, innovative features, high-interest applications, and a wide range of technology options that add flexibility for instructors and enhance the learning process.
Author Bio
Larson, Ron : The Pennsylvania State University
Hostetler, Robert P. : The Pennsylvania State University
Neptune, Carolyn F. : Johnson County Community College
1. Concepts of Elementary Algebra
1.1 Algebraic Expressions
1.2 Operations with Polynomials
1.3 Factoring Polynomials
1.4 Factoring Trinomials
1.5 Solving Linear Equations
1.6 Solving Equations by Factoring
2. Introduction to Graphs and Functions
2.1 Describing Data Graphically
2.2 Graphs of Equations
2.3 Slope: An Aid to Graphing Lines
2.4 Relations, Functions, and Function Notation
2.5 Graphs of Functions
2.6 Transformations of Functions
3. Linear Functions, Equations, and Inequalities
3.1 Writing Equations of Lines
3.2 Applications of Linear Equations
3.3 Business and Scientific Problems
3.4 Linear Inequalities in One Variable
3.5 Absolute Value Equations and Inequalities
4. Systems of Linear Equations and Inequalities
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
4.3 Matrices and Linear Systems
4.4 Determinants and Linear Systems
4.5 Linear Inequalities in Two Variables
5. Radicals and Complex Numbers
5.1 Integer Exponents and Scientific Notation
5.2 Rational Exponents and Radicals
5.3 Simplifying and Combining Radicals
5.4 Multiplying and Dividing Radicals
5.5 Solving Radical Equations
5.6 Complex Numbers
6. Quadratic Functions, Equations, and Inequalities
6.1 The Factoring and Square Root Methods
6.2 Completing the Square
6.3 The Quadratic Formula
6.4 Applications of Quadratic Equations
6.5 Graphs of Quadratic Functions
6.6 Quadratic Inequalities in One Variable
7. Rational Expressions and Rational Functions
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Dividing Polynomials
7.5 Solving Rational Equations
7.6 Graphing Rational Functions
7.7 Rational Inequalities in One Variable
8. More About Functions and Relations
8.1 Combinations of Functions
8.2 Inverse Functions
8.3 Variation and Mathematical Models
8.4 Polynomial Functions and Their Graphs
8.5 Circles
8.6 Ellipses and Hyperbolas
8.7 Parabolas
8.8 Nonlinear Systems of Equations
9. Exponential and Logarithmic Functions and Equations
9.1 Exponential Functions and Their Graphs
9.2 Logarithmic Functions and Their Graphs
9.3 Properties of Logarithms
9.4 Solving Exponential and Logarithmic Equations
9.5 Exponential and Logarithmic Applications
10. Sequences, Series, and the Binomial Theorem
10.1 Sequences and Series
10.2 Arithmetic Sequences
10.3 Geometric Sequences and Series
10.4 The Binomial Theorem
Appendix A. Real Numbers
A.1 Operations with Real Numbers
A.2 Properties of Real Numbers
Appendix B. Mathematical Modeling
B.1 Modeling Data with Linear Functions
B.2 Modeling Data with Quadratic Functions
B.3 Modeling Data with Exponential and Logarithmic Functions
Appendix C. Linear Programming
Appendix D. Counting Principles and Probability
D.1 Counting Principles
D.2 Probability
Appendix E. Introduction to Logic
E.1 Statements and Truth Tables
E.2 Implications, Quantifiers, and Venn Diagrams
E.3 Logical Arguments
Appendix F. Further Concepts in Geometry
F.1 Exploring Congruence and Similarity
F.2 Angles
Appendix G. Further Concepts in Statistics
Appendix H. Graphing Utility Programs
Ron Larson, Robert P. Hostetler and Carolyn F. Neptune
ISBN13: 978-0618218783Intermediate Algebra: Graphs and Functions, Third Edition, designed specifically for courses that incorporate early graphing and emphasize problem solving and real-life applications. The use of calculators is integrated throughout the text, but remains optional. The authors' proven approach combines proven pedagogy, innovative features, high-interest applications, and a wide range of technology options that add flexibility for instructors and enhance the learning process.
Author Bio
Larson, Ron : The Pennsylvania State University
Hostetler, Robert P. : The Pennsylvania State University
Neptune, Carolyn F. : Johnson County Community College
Table of Contents
1. Concepts of Elementary Algebra
1.1 Algebraic Expressions
1.2 Operations with Polynomials
1.3 Factoring Polynomials
1.4 Factoring Trinomials
1.5 Solving Linear Equations
1.6 Solving Equations by Factoring
2. Introduction to Graphs and Functions
2.1 Describing Data Graphically
2.2 Graphs of Equations
2.3 Slope: An Aid to Graphing Lines
2.4 Relations, Functions, and Function Notation
2.5 Graphs of Functions
2.6 Transformations of Functions
3. Linear Functions, Equations, and Inequalities
3.1 Writing Equations of Lines
3.2 Applications of Linear Equations
3.3 Business and Scientific Problems
3.4 Linear Inequalities in One Variable
3.5 Absolute Value Equations and Inequalities
4. Systems of Linear Equations and Inequalities
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
4.3 Matrices and Linear Systems
4.4 Determinants and Linear Systems
4.5 Linear Inequalities in Two Variables
5. Radicals and Complex Numbers
5.1 Integer Exponents and Scientific Notation
5.2 Rational Exponents and Radicals
5.3 Simplifying and Combining Radicals
5.4 Multiplying and Dividing Radicals
5.5 Solving Radical Equations
5.6 Complex Numbers
6. Quadratic Functions, Equations, and Inequalities
6.1 The Factoring and Square Root Methods
6.2 Completing the Square
6.3 The Quadratic Formula
6.4 Applications of Quadratic Equations
6.5 Graphs of Quadratic Functions
6.6 Quadratic Inequalities in One Variable
7. Rational Expressions and Rational Functions
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Dividing Polynomials
7.5 Solving Rational Equations
7.6 Graphing Rational Functions
7.7 Rational Inequalities in One Variable
8. More About Functions and Relations
8.1 Combinations of Functions
8.2 Inverse Functions
8.3 Variation and Mathematical Models
8.4 Polynomial Functions and Their Graphs
8.5 Circles
8.6 Ellipses and Hyperbolas
8.7 Parabolas
8.8 Nonlinear Systems of Equations
9. Exponential and Logarithmic Functions and Equations
9.1 Exponential Functions and Their Graphs
9.2 Logarithmic Functions and Their Graphs
9.3 Properties of Logarithms
9.4 Solving Exponential and Logarithmic Equations
9.5 Exponential and Logarithmic Applications
10. Sequences, Series, and the Binomial Theorem
10.1 Sequences and Series
10.2 Arithmetic Sequences
10.3 Geometric Sequences and Series
10.4 The Binomial Theorem
Appendix A. Real Numbers
A.1 Operations with Real Numbers
A.2 Properties of Real Numbers
Appendix B. Mathematical Modeling
B.1 Modeling Data with Linear Functions
B.2 Modeling Data with Quadratic Functions
B.3 Modeling Data with Exponential and Logarithmic Functions
Appendix C. Linear Programming
Appendix D. Counting Principles and Probability
D.1 Counting Principles
D.2 Probability
Appendix E. Introduction to Logic
E.1 Statements and Truth Tables
E.2 Implications, Quantifiers, and Venn Diagrams
E.3 Logical Arguments
Appendix F. Further Concepts in Geometry
F.1 Exploring Congruence and Similarity
F.2 Angles
Appendix G. Further Concepts in Statistics
Appendix H. Graphing Utility Programs