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This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.
In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.
Note: Each chapter includes a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 1-6 include Cumulative Review Exercises.
Preliminary Concepts
P.1 The Real Number System
P.2 Integer and Rational Number Exponents
P.3 Polynomials
P.4 Rational Expressions
P.5 Complex Numbers
Exploring Concepts with Technology: Can You Trust Your Calculator?
1. Equations and Inequalities
1.1 Linear and Absolute Value Equations
1.2 Formulas and Applications
1.3 Quadratic Equations
1.4 Other Types of Equations
1.5 Inequalities
Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations
2. Functions and Graphs
2.1 A Two-Dimensional Coordinate System and Graphs
2.2 Introduction to Functions
2.3 Linear Functions
2.4 Quadratic Functions
2.5 Properties of Graphs
2.6 The Algebra of Functions
Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator
3. Polynomial and Rational Functions
3.1 The Remainder Theorem and the Factor Theorem
3.2 Polynomial Functions of Higher Degree
3.3 Zeros of Polynomial Functions
3.4 The Fundamental Theorem of Algebra
3.5 Graphs of Rational Functions and Their Applications
Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica
4. Exponential and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions and Their Applications
4.3 Logarithmic Functions and Their Applications
4.4 Logarithms and Logarithmic Scales
4.5 Exponential and Logarithmic Equations
4.6 Exponential Growth and Decay
Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay
5. Systems Of Equations
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in More Than Two Variables
5.3 Inequalities in Two Variables and Systems of Inequalities
Exploring Concepts with Technology: Ill-Conditioned Systems of Equations
Richard N. Aufmann and Richard D. Nation
ISBN13: 978-0618480968This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.
In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.
Table of Contents
Note: Each chapter includes a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 1-6 include Cumulative Review Exercises.
Preliminary Concepts
P.1 The Real Number System
P.2 Integer and Rational Number Exponents
P.3 Polynomials
P.4 Rational Expressions
P.5 Complex Numbers
Exploring Concepts with Technology: Can You Trust Your Calculator?
1. Equations and Inequalities
1.1 Linear and Absolute Value Equations
1.2 Formulas and Applications
1.3 Quadratic Equations
1.4 Other Types of Equations
1.5 Inequalities
Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations
2. Functions and Graphs
2.1 A Two-Dimensional Coordinate System and Graphs
2.2 Introduction to Functions
2.3 Linear Functions
2.4 Quadratic Functions
2.5 Properties of Graphs
2.6 The Algebra of Functions
Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator
3. Polynomial and Rational Functions
3.1 The Remainder Theorem and the Factor Theorem
3.2 Polynomial Functions of Higher Degree
3.3 Zeros of Polynomial Functions
3.4 The Fundamental Theorem of Algebra
3.5 Graphs of Rational Functions and Their Applications
Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica
4. Exponential and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions and Their Applications
4.3 Logarithmic Functions and Their Applications
4.4 Logarithms and Logarithmic Scales
4.5 Exponential and Logarithmic Equations
4.6 Exponential Growth and Decay
Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay
5. Systems Of Equations
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in More Than Two Variables
5.3 Inequalities in Two Variables and Systems of Inequalities
Exploring Concepts with Technology: Ill-Conditioned Systems of Equations