by Ron Larson and Robert P. Hostetler
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Designed to support first-year developmental math students taking an intermediate-level algebra course, this new text offers the hallmark features developed by the best-selling Larson team: abundant high-quality applications, the use of real data, the integration of visualization (many figures and graphs) throughout, and extensive opportunities for self-assessment. The authors' goal is for students to come away from the course with a firm understanding of algebra and how it functions.
1. Fundamentals of Algebra
1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Properties of Real Numbers
1.4 Algebraic Expressions
1.5 Constructing Algebraic Expressions
2. Linear Equations and Inequalities
2.1 Linear Equations
2.2 Linear Equations and Problem Solving
2.3 Business and Scientific Problems
2.4 Linear Inequalities
2.5 Absolute Value Equations and Inequalities
3. Graphs and Functions
3.1 The Rectangular Coordinate System
3.2 Graphs of Equations
3.3 Slope and Graphs of Linear Equations
3.4 Equations of Lines
3.5 Graphs of Linear Inequalities
3.6 Relations and Functions
3.7 Graphs of Functions
4. Systems of Equations and Inequalities
4.1 Systems of Equations
4.2 Linear Systems in Two Variables
4.3 Linear Systems in Three Variables
4.4 Matrices and Linear Systems
4.5 Determinants and Linear Systems
4.6 Systems of Linear Inequalities
Cumulative Test: Chapters 1-4
5. Polynomials and Factoring
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Factoring by Grouping and Special Forms
5.5 Factoring Trinomials
5.6 Solving Polynomial Equations by Factoring
6. Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Fractions
6.5 Dividing Polynomials and Synthetic Division
6.6 Solving Rational Equations
6.7 Applications and Variation
7. Radicals and Complex Numbers
7.1 Radicals and Rational Exponents
7.2 Simplifying Radical Expressions
7.3 Adding and Subtracting Radical Expressions
7.4 Mulitplying and Dividing Radical Expressions
7.5 Radical Equations and Applications
7.6 Complex Numbers
Cumulative Test: Chapters 5-7
8. Quadratic Equations, Functions, and Inequalities
8.1 Solving Quadratic Equations: Factoring and Special Forms
8.2 Completing the Square
8.3 The Quadratic Formula
8.4 Graphs of Quadratic Functions
8.5 Applications of Quadratic Equations
8.6 Quadratic and Rational Inequalities
9. Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications
10. Conics
10.1 Circles and Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Solving Nonlinear Systems of Equations
Cumulative Test: Chapters 8-10
11. Sequences, Series, and the Binomial Theorem
11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series
11.4 The Binomial Theorem
11.5 Counting Principles
11.6 Probability
12. More on Polynomial and Rational Functions
12.1 Operations on Functions
12.2 Graphs of Polynomial Functions
12.3 Zeros of Polynomial Functions
12.4 Graphs of Rational Functions
Appendix A Introduction to Graphing Calculators A
Ron Larson and Robert P. Hostetler
ISBN13: 978-0618388455Designed to support first-year developmental math students taking an intermediate-level algebra course, this new text offers the hallmark features developed by the best-selling Larson team: abundant high-quality applications, the use of real data, the integration of visualization (many figures and graphs) throughout, and extensive opportunities for self-assessment. The authors' goal is for students to come away from the course with a firm understanding of algebra and how it functions.
Table of Contents
1. Fundamentals of Algebra
1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Properties of Real Numbers
1.4 Algebraic Expressions
1.5 Constructing Algebraic Expressions
2. Linear Equations and Inequalities
2.1 Linear Equations
2.2 Linear Equations and Problem Solving
2.3 Business and Scientific Problems
2.4 Linear Inequalities
2.5 Absolute Value Equations and Inequalities
3. Graphs and Functions
3.1 The Rectangular Coordinate System
3.2 Graphs of Equations
3.3 Slope and Graphs of Linear Equations
3.4 Equations of Lines
3.5 Graphs of Linear Inequalities
3.6 Relations and Functions
3.7 Graphs of Functions
4. Systems of Equations and Inequalities
4.1 Systems of Equations
4.2 Linear Systems in Two Variables
4.3 Linear Systems in Three Variables
4.4 Matrices and Linear Systems
4.5 Determinants and Linear Systems
4.6 Systems of Linear Inequalities
Cumulative Test: Chapters 1-4
5. Polynomials and Factoring
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Factoring by Grouping and Special Forms
5.5 Factoring Trinomials
5.6 Solving Polynomial Equations by Factoring
6. Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Fractions
6.5 Dividing Polynomials and Synthetic Division
6.6 Solving Rational Equations
6.7 Applications and Variation
7. Radicals and Complex Numbers
7.1 Radicals and Rational Exponents
7.2 Simplifying Radical Expressions
7.3 Adding and Subtracting Radical Expressions
7.4 Mulitplying and Dividing Radical Expressions
7.5 Radical Equations and Applications
7.6 Complex Numbers
Cumulative Test: Chapters 5-7
8. Quadratic Equations, Functions, and Inequalities
8.1 Solving Quadratic Equations: Factoring and Special Forms
8.2 Completing the Square
8.3 The Quadratic Formula
8.4 Graphs of Quadratic Functions
8.5 Applications of Quadratic Equations
8.6 Quadratic and Rational Inequalities
9. Exponential and Logarithmic Functions
9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications
10. Conics
10.1 Circles and Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Solving Nonlinear Systems of Equations
Cumulative Test: Chapters 8-10
11. Sequences, Series, and the Binomial Theorem
11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series
11.4 The Binomial Theorem
11.5 Counting Principles
11.6 Probability
12. More on Polynomial and Rational Functions
12.1 Operations on Functions
12.2 Graphs of Polynomial Functions
12.3 Zeros of Polynomial Functions
12.4 Graphs of Rational Functions
Appendix A Introduction to Graphing Calculators A