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This text is for a one-term course in intermediate algebra, for students who have had a previous elementary algebra course. A five- step problem-solving process is introduced, and interesting applications are used to motivate students. Coverage progresses from graphs, functions, and linear equations to sequences, series, and the binomial theorem. New to this edition are sections on connecting concepts, study tips, and exercises designed to foster intuitive problem solving. Bittinger teaches at Indiana University; Ellenbogen at Community College of Vermont.
Table of Contents
1. Algebraic and Problem Solving
Some Basics of Algebra
Operations and Properties of Real Numbers
Solving Equations
Introduction to Problem Solving
Formulas, Models, and Geometry
Properties of Exponents
Scientific Notation
2. Graphs, Functions, and Linear Equations
Graphs
Functions
Linear Functions: Slope, Graphs, and Models
Another Look at Linear Graphs
Other Equations of Lines
The Algebra of Functions
3. Introduction to Graphing
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Solving Applications: Systems of Three Variables
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
4. Inequalities and Problem Solving
Inequalities and Applications
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Applications Using Linear Programming
5. Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functions
Multiplication of Polynomials
Common Factors and Factoring by Grouping
Factoring Trinomials
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Applications of Polynomial Equations
6. Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying and Dividing
Rational Expressions and Functions: Adding and Subtracting
Complex Rational Expressions
Rational Equations
Solving Applications Using Rational Equations
Division of Polynomials
Synthetic Division
Formulas, Applications, and Variation
7. Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
The Distance and Midpoint Formulas and Other Applications
The Complex Numbers
8. Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Studying Solutions of Quadratic Equations
Applications Involving Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
More About Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities
9. Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
10. Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Nonlinear Systems of Equations
11. Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Appendix: The Graphing Calculator
Answers A-1
Glossary EM-1
Index EM-6
Index of Applications EM-13
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This text is for a one-term course in intermediate algebra, for students who have had a previous elementary algebra course. A five- step problem-solving process is introduced, and interesting applications are used to motivate students. Coverage progresses from graphs, functions, and linear equations to sequences, series, and the binomial theorem. New to this edition are sections on connecting concepts, study tips, and exercises designed to foster intuitive problem solving. Bittinger teaches at Indiana University; Ellenbogen at Community College of Vermont.
Table of Contents
Table of Contents
1. Algebraic and Problem Solving
Some Basics of Algebra
Operations and Properties of Real Numbers
Solving Equations
Introduction to Problem Solving
Formulas, Models, and Geometry
Properties of Exponents
Scientific Notation
2. Graphs, Functions, and Linear Equations
Graphs
Functions
Linear Functions: Slope, Graphs, and Models
Another Look at Linear Graphs
Other Equations of Lines
The Algebra of Functions
3. Introduction to Graphing
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Solving Applications: Systems of Three Variables
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications
4. Inequalities and Problem Solving
Inequalities and Applications
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Applications Using Linear Programming
5. Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functions
Multiplication of Polynomials
Common Factors and Factoring by Grouping
Factoring Trinomials
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Applications of Polynomial Equations
6. Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying and Dividing
Rational Expressions and Functions: Adding and Subtracting
Complex Rational Expressions
Rational Equations
Solving Applications Using Rational Equations
Division of Polynomials
Synthetic Division
Formulas, Applications, and Variation
7. Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
The Distance and Midpoint Formulas and Other Applications
The Complex Numbers
8. Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Studying Solutions of Quadratic Equations
Applications Involving Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
More About Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities
9. Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions
10. Conic Sections
Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Nonlinear Systems of Equations
11. Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Appendix: The Graphing Calculator
Answers A-1
Glossary EM-1
Index EM-6
Index of Applications EM-13
Digital Rights
eTextbooks and eChapters can be viewed by using the free reader listed below.
Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.
Download Requirements:Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.
Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.
User Help:
Click Here to access the VitalSource Bookshelf FAQ
Digital Rights Management (DRM) Key
Printing - Books that cannot be printed will show "Not Allowed." Otherwise, this will detail the number of times it can be printed, or "Allowed with no limits."
Expires - Books that have no expiration (the date upon which you will no longer be able to access your eBook) will read "No Expiration." Otherwise it will state the number of days from activation (the first time you actually read it).
Reading Aloud - Books enabled with the "text-to-speech" feature so that they can be read aloud will show "Allowed."
Sharing - Books that cannot be shared with other computers will show "Not Allowed."
Min. Software Version - This is the minimum software version needed to read this book.
Suitable Devices - Hardware known to be compatible with this book. Note: Reader software still needs to be installed.