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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.
1. Functions and Graphs
1.1 Equations and Inequalities
1.2 A Two-Dimensional Coordinate System and Graphs
1.3 Introduction to Functions
1.4 Linear Functions
1.5 Quadratic Functions
1.6 Properties of Graphs
1.7 The Algebra of Functions
Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator
2. Polynomial and Rational Functions
2.1 Complex Numbers
2.2 The Remainder Theorem and the Factor Theorem
2.3 Polynomial Functions of Higher Degree
2.4 Zeros of Polynomial Functions
2.5 The Fundamental Theorem of Algebra
2.6 Graphs of Rational Functions and Their Applications
Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica
3. Exponential and Logarithmic Functions
3.1 Inverse Functions
3.2 Exponential Functions and Their Applications
3.3 Logarithmic Functions and Their Applications
3.4 Logarithms and Logarithmic Scales
3.5 Exponential and Logarithmic Equations
3.6 Exponential Growth and Decay
Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay
4. Trigonometric Functions
4.1 Angles and Arcs
4.2 Trigonometric Functions of Real Numbers
4.3 Graphs of the Sine and Cosine Functions
4.4 Graphs of the Other Trigonometric Functions
4.5 Graphing Techniques
Exploring Concepts with Technology: Sinusoidal Families
5. Applications of Trigonometry and Trigonometric Identities
5.1 Trigonometric Functions of Angles
5.2 Verification of Trigonometric Identities
5.3 More on Trigonometric Identities
5.4 Inverse Trigonometric Functions
5.5 Trigonometric Equations
5.6 The Law of Sines and the Law of Cosines
5.7 Vectors
Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials
6. Additional Topics in Mathematics
6.1 Conic Sections
6.2 Polar Coordinates
6.3 Parametric Equations
6.4 Sequences, Series, and Summation Notation
6.5 The Binomial Theorem
Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z
Algebra Review Appendix
Integer and Rational Number Exponents
Polynomials
Factoring
Richard N. Aufmann and Richard D. Nation
ISBN13: 978-0618447022This 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
1. Functions and Graphs
1.1 Equations and Inequalities
1.2 A Two-Dimensional Coordinate System and Graphs
1.3 Introduction to Functions
1.4 Linear Functions
1.5 Quadratic Functions
1.6 Properties of Graphs
1.7 The Algebra of Functions
Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator
2. Polynomial and Rational Functions
2.1 Complex Numbers
2.2 The Remainder Theorem and the Factor Theorem
2.3 Polynomial Functions of Higher Degree
2.4 Zeros of Polynomial Functions
2.5 The Fundamental Theorem of Algebra
2.6 Graphs of Rational Functions and Their Applications
Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica
3. Exponential and Logarithmic Functions
3.1 Inverse Functions
3.2 Exponential Functions and Their Applications
3.3 Logarithmic Functions and Their Applications
3.4 Logarithms and Logarithmic Scales
3.5 Exponential and Logarithmic Equations
3.6 Exponential Growth and Decay
Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay
4. Trigonometric Functions
4.1 Angles and Arcs
4.2 Trigonometric Functions of Real Numbers
4.3 Graphs of the Sine and Cosine Functions
4.4 Graphs of the Other Trigonometric Functions
4.5 Graphing Techniques
Exploring Concepts with Technology: Sinusoidal Families
5. Applications of Trigonometry and Trigonometric Identities
5.1 Trigonometric Functions of Angles
5.2 Verification of Trigonometric Identities
5.3 More on Trigonometric Identities
5.4 Inverse Trigonometric Functions
5.5 Trigonometric Equations
5.6 The Law of Sines and the Law of Cosines
5.7 Vectors
Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials
6. Additional Topics in Mathematics
6.1 Conic Sections
6.2 Polar Coordinates
6.3 Parametric Equations
6.4 Sequences, Series, and Summation Notation
6.5 The Binomial Theorem
Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z
Algebra Review Appendix
Integer and Rational Number Exponents
Polynomials
Factoring