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Applied College Algebra, the newest text from the experienced author team of Aufmann, Nation, and Clegg, is designed to provide students with a solid mathematical foundation enhanced by motivating and relevant applications. The interactive presentation of concepts supports students with a variety of learning styles and provides a comfortable transition to more advanced mathematics for all students, especially those coming from developmental courses. Numerous applications and features appeal to students with diverse interests and majors and offer instructors flexible teaching options.
Author Bio
Aufmann, Richard N. : Palomar College
Nation, Richard : Palomar College
Clegg, Daniel K. : Palomar College
Note: Each chapter contains a Chapter Summary, Chapter True/False Exercises, Chapter Review Exercises, and a Chapter Test. Chapters 1-8 include a Cumulative Review.
P. Preliminary Concepts
P.1 Real Numbers
P.2 Integer Exponents and Scientific Notation
P.3 Operations on Polynomials
P.4 Factoring
P.5 Rational Expressions
P.6 Rational Exponents and Radicals
P.7 Complex numbers
1. Equations and Inequalities
1.1 Linear Equations and Their Applications
1.2 Quadratic Equations and Their Applications
1.3 Other Types of Equations
1.4 Linear and Absolute Value Inequalities and Their Applications
1.5 Quadratic and Rational Inequalities and Their Applications
2. Introduction to Functions
2.1 Rectangular Coordinates and Graphs
2.2 Relations and Functions
2.3 Properties of Linear Functions
2.4 Linear Models
2.5 Quadratic Functions
2.6 Modeling Data Using Regression
3. Properties of Functions
3.1 Algebra of Functions
3.2 Inverse Functions
3.3 Transformations of Graphs
3.4 Variation
4. Polynomial and Rational Functions
4.1 The Remainder Theorem and The Factor Theorem
4.2 Polynomial Functions of Higher Degree
4.3 Zeros of Polynomial Functions
4.4 The Fundamental Theorem of Algebra
4.5 Graphs of Rational Functions and Their Applications
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Applications
5.2 Logarithmic Functions and Their Applications
5.3 Working with Logarithms and Logarithmic Scales
5.4 Exponential and Logarithmic Equations
5.5 Exponential Growth and Decay
5.6 Modeling Data with Exponential and Logarithmic Functions
5.7 Logistic Growth Models and Their Applications
6. Systems of Linear Equations and Inequalities
6.1 Systems of Linear Equations in Two Variables
6.2 Systems of Linear Equations in Three Variables
6.3 Row Operations and Systems of Equations
6.4 The Algebra of Matrices
6.5 The Inverse of a Matrix
6.6 Linear Inequalities and Systems of Linear Inequalities
7. Sequences and Series with Applications to the Mathematics of Finance
7.1 Introduction to Sequences and Series
7.2 Arithmetic and Geometric Sequences and Series
7.3 Simple and Compound Interest
7.4 Present Value of an Annuity and Amortization
7.5 Future Value of an Annuity and Sinking Funds
8. Probability and the Binomial Theorem
8.1 Counting Methods
8.2 Introduction to Probability
8.3 Probability of Compound Events
8.4 The Binomial Theorem
Appendix A. Conic Sections
Appendix B. Determinants
Richard N. Aufmann, Richard Nation and Daniel K. Clegg
ISBN13: 978-0618073634Applied College Algebra, the newest text from the experienced author team of Aufmann, Nation, and Clegg, is designed to provide students with a solid mathematical foundation enhanced by motivating and relevant applications. The interactive presentation of concepts supports students with a variety of learning styles and provides a comfortable transition to more advanced mathematics for all students, especially those coming from developmental courses. Numerous applications and features appeal to students with diverse interests and majors and offer instructors flexible teaching options.
Author Bio
Aufmann, Richard N. : Palomar College
Nation, Richard : Palomar College
Clegg, Daniel K. : Palomar College
Table of Contents
Note: Each chapter contains a Chapter Summary, Chapter True/False Exercises, Chapter Review Exercises, and a Chapter Test. Chapters 1-8 include a Cumulative Review.
P. Preliminary Concepts
P.1 Real Numbers
P.2 Integer Exponents and Scientific Notation
P.3 Operations on Polynomials
P.4 Factoring
P.5 Rational Expressions
P.6 Rational Exponents and Radicals
P.7 Complex numbers
1. Equations and Inequalities
1.1 Linear Equations and Their Applications
1.2 Quadratic Equations and Their Applications
1.3 Other Types of Equations
1.4 Linear and Absolute Value Inequalities and Their Applications
1.5 Quadratic and Rational Inequalities and Their Applications
2. Introduction to Functions
2.1 Rectangular Coordinates and Graphs
2.2 Relations and Functions
2.3 Properties of Linear Functions
2.4 Linear Models
2.5 Quadratic Functions
2.6 Modeling Data Using Regression
3. Properties of Functions
3.1 Algebra of Functions
3.2 Inverse Functions
3.3 Transformations of Graphs
3.4 Variation
4. Polynomial and Rational Functions
4.1 The Remainder Theorem and The Factor Theorem
4.2 Polynomial Functions of Higher Degree
4.3 Zeros of Polynomial Functions
4.4 The Fundamental Theorem of Algebra
4.5 Graphs of Rational Functions and Their Applications
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Applications
5.2 Logarithmic Functions and Their Applications
5.3 Working with Logarithms and Logarithmic Scales
5.4 Exponential and Logarithmic Equations
5.5 Exponential Growth and Decay
5.6 Modeling Data with Exponential and Logarithmic Functions
5.7 Logistic Growth Models and Their Applications
6. Systems of Linear Equations and Inequalities
6.1 Systems of Linear Equations in Two Variables
6.2 Systems of Linear Equations in Three Variables
6.3 Row Operations and Systems of Equations
6.4 The Algebra of Matrices
6.5 The Inverse of a Matrix
6.6 Linear Inequalities and Systems of Linear Inequalities
7. Sequences and Series with Applications to the Mathematics of Finance
7.1 Introduction to Sequences and Series
7.2 Arithmetic and Geometric Sequences and Series
7.3 Simple and Compound Interest
7.4 Present Value of an Annuity and Amortization
7.5 Future Value of an Annuity and Sinking Funds
8. Probability and the Binomial Theorem
8.1 Counting Methods
8.2 Introduction to Probability
8.3 Probability of Compound Events
8.4 The Binomial Theorem
Appendix A. Conic Sections
Appendix B. Determinants