List price: $324.00
This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.
1. Equations, Inequalities, and Mathematical Modeling
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations and Applications
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Shifting, Reflecting, and Stretching Graphs
2.6 Combinations of Functions
2.7 Inverse Functions
Cumulative Test: Chapters P-2
3. Polynomial Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Conics
4.4 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 3-5
6. Trigonometry
6.1 Angles and Their Measure
6.2 Right Triangle Trigonometry
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of Other Trigonometric Functions
6.6 Inverse Trigonometric Functions
6.7 Applications and Models
7. Analytic Trigonometry
7.1 Using Fundamental Identities
7.2 Verifying Trigonometric Identities
7.3 Solving Trigonometric Equations
7.4 Sum and Difference Formulas
7.5 Multiple-Angle and Product-to-Sum Formulas
8. Additional Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
8.3 Vectors in the Plane
8.4 Vectors and Dot Products
8.5 Trigonometric Form of a Complex Number
Cumulative Test: Chapters 6-8
9. Systems of Equations and Inequalities
9.1 Linear and Nonlinear Systems of Equations
9.2 Two-Variable Linear Systems
9.3 Multivariable Linear Systems
9.4 Partial Fractions
9.5 Systems of Inequalities
9.6 Linear Programming
10. Matrices and Determinants
10.1 Matrices and Systems of Equations
10.2 Operations with Matrices
10.3 The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix
10.5 Applications of Matrices and Determinants
11. Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability
Cumulative Test: Chapters 9-11
Appendix A. Concepts in Statistics (web)
A.1 Representing Data
A.2 Measures of Central Tendency and Dispersion
A.3 Least Squares Regression
Alternative/Expanded Version of Chapter P (Resource CD)
P.1 Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)
P.2 Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)
P.3 Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)
P.4 Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)
P.5 Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)
P.6 Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)
Ron Larson and Robert P. Hostetler
ISBN13: 978-0618643219This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Seventh Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.
Table of Contents
1. Equations, Inequalities, and Mathematical Modeling
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations and Applications
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 A Library of Functions
2.5 Shifting, Reflecting, and Stretching Graphs
2.6 Combinations of Functions
2.7 Inverse Functions
Cumulative Test: Chapters P-2
3. Polynomial Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Conics
4.4 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 3-5
6. Trigonometry
6.1 Angles and Their Measure
6.2 Right Triangle Trigonometry
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of Other Trigonometric Functions
6.6 Inverse Trigonometric Functions
6.7 Applications and Models
7. Analytic Trigonometry
7.1 Using Fundamental Identities
7.2 Verifying Trigonometric Identities
7.3 Solving Trigonometric Equations
7.4 Sum and Difference Formulas
7.5 Multiple-Angle and Product-to-Sum Formulas
8. Additional Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
8.3 Vectors in the Plane
8.4 Vectors and Dot Products
8.5 Trigonometric Form of a Complex Number
Cumulative Test: Chapters 6-8
9. Systems of Equations and Inequalities
9.1 Linear and Nonlinear Systems of Equations
9.2 Two-Variable Linear Systems
9.3 Multivariable Linear Systems
9.4 Partial Fractions
9.5 Systems of Inequalities
9.6 Linear Programming
10. Matrices and Determinants
10.1 Matrices and Systems of Equations
10.2 Operations with Matrices
10.3 The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix
10.5 Applications of Matrices and Determinants
11. Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability
Cumulative Test: Chapters 9-11
Appendix A. Concepts in Statistics (web)
A.1 Representing Data
A.2 Measures of Central Tendency and Dispersion
A.3 Least Squares Regression
Alternative/Expanded Version of Chapter P (Resource CD)
P.1 Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)
P.2 Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)
P.3 Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)
P.4 Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)
P.5 Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)
P.6 Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)