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College Algebra: A Concise Course provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage optional discovery and exploration activities that use technology and are integrated throughout the text.
The Fifth Edition enhances problem solving coverage through Make a Decision features. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems.
Note: Each chapter includes an Opener, Mid-Chapter Quiz, Project, Summary, Review Exercises, and Test.
R1. Fundamental Concepts of Algebra (Web/CD only)
R1.1 Real Numbers: Order and Absolute Value
R1.2 The Basic Rules of Algebra
R1.3 Integer Exponents
R1.4 Radicals and Rational Exponents
R1.5 Polynomials and Special Products
R1.6 Factoring
R1.7 Fractional Expressions
R2. Equations and Inequalities (Web/CD only)
R2.1 Linear Equations
R2.2 Mathematical Modeling
R2.3 Quadratic Equations
R2.4 The Quadratic Formula
R2.5 Other Types of Equations
R2.6 Linear Inequalities
R2.7 Other Types of Inequalities
Cumulative Test: Chapters R1-R2
1. Functions and Graphs
1.1 Graphs of Equations
1.2 Lines in the Plane
1.3 Linear Modeling and Direct Variation
1.4 Functions
1.5 Graphs of Functions
1.6 Transformations of Functions
1.7 The Algebra of Functions
1.8 Inverse Functions
2. Polynomial and Rational Functions
2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial Division
2.4 Real Zeros of Polynomial Functions
2.5 Complex Numbers
2.6 The Fundamental Theorem of Algebra
2.7 Rational Functions
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 1-3
4. Systems of Equations and Inequalities
4.1 Solving Linear Systems using Substitution
4.2 Solving Linear Systems using Elimination
4.3 Linear Systems in Three or More Variables
4.4 Systems of Inequalities
4.5 Linear Programming--Optional Topic (Web/CD only)
5. Matrices and Determinants
5.1 Matrices and Linear Systems
5.2 Operations with Matrices
5.3 The Inverse of a Square Matrix
5.4 The Determinant of a Square Matrix
5.5 Applications of Matrices and Determinants
6. Sequences, Series, and Probability
6.1 Sequences and Summation Notation
6.2 Arithmetic Sequences and Series
6.3 Geometric Sequences and Series
6.4 The Binomial Theorem
6.5 Counting Principles
6.6 Probability
6.7 Mathematical Induction--Optional Topic (Web/CD only)
Cumulative Test: Chapters 4-6
Appendices
A. An Introduction to Graphing Utilities
B. Conic Sections
B.1 Conic Sections
B.2 Conic Sections and Translations
C. Further Concepts in Statistics (Web/CD only)
C.1 Data and Linear Modeling
C.2 Measures of Central Tendency and Dispersion
Ron Larson, Robert Hostetler and Ann V. Hodgkins
ISBN13: 978-0618492763College Algebra: A Concise Course provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage optional discovery and exploration activities that use technology and are integrated throughout the text.
The Fifth Edition enhances problem solving coverage through Make a Decision features. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems.
Table of Contents
Note: Each chapter includes an Opener, Mid-Chapter Quiz, Project, Summary, Review Exercises, and Test.
R1. Fundamental Concepts of Algebra (Web/CD only)
R1.1 Real Numbers: Order and Absolute Value
R1.2 The Basic Rules of Algebra
R1.3 Integer Exponents
R1.4 Radicals and Rational Exponents
R1.5 Polynomials and Special Products
R1.6 Factoring
R1.7 Fractional Expressions
R2. Equations and Inequalities (Web/CD only)
R2.1 Linear Equations
R2.2 Mathematical Modeling
R2.3 Quadratic Equations
R2.4 The Quadratic Formula
R2.5 Other Types of Equations
R2.6 Linear Inequalities
R2.7 Other Types of Inequalities
Cumulative Test: Chapters R1-R2
1. Functions and Graphs
1.1 Graphs of Equations
1.2 Lines in the Plane
1.3 Linear Modeling and Direct Variation
1.4 Functions
1.5 Graphs of Functions
1.6 Transformations of Functions
1.7 The Algebra of Functions
1.8 Inverse Functions
2. Polynomial and Rational Functions
2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial Division
2.4 Real Zeros of Polynomial Functions
2.5 Complex Numbers
2.6 The Fundamental Theorem of Algebra
2.7 Rational Functions
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 1-3
4. Systems of Equations and Inequalities
4.1 Solving Linear Systems using Substitution
4.2 Solving Linear Systems using Elimination
4.3 Linear Systems in Three or More Variables
4.4 Systems of Inequalities
4.5 Linear Programming--Optional Topic (Web/CD only)
5. Matrices and Determinants
5.1 Matrices and Linear Systems
5.2 Operations with Matrices
5.3 The Inverse of a Square Matrix
5.4 The Determinant of a Square Matrix
5.5 Applications of Matrices and Determinants
6. Sequences, Series, and Probability
6.1 Sequences and Summation Notation
6.2 Arithmetic Sequences and Series
6.3 Geometric Sequences and Series
6.4 The Binomial Theorem
6.5 Counting Principles
6.6 Probability
6.7 Mathematical Induction--Optional Topic (Web/CD only)
Cumulative Test: Chapters 4-6
Appendices
A. An Introduction to Graphing Utilities
B. Conic Sections
B.1 Conic Sections
B.2 Conic Sections and Translations
C. Further Concepts in Statistics (Web/CD only)
C.1 Data and Linear Modeling
C.2 Measures of Central Tendency and Dispersion