Elementary and intermediate algebra : graphs and models
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書誌事項
Elementary and intermediate algebra : graphs and models
Pearson/Addison-Wesley, c2008
3rd ed
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注記
Includes indexes
内容説明・目次
内容説明
The Third Edition of the Bittinger Graphs and Models series helps students succeed in algebra by emphasizing a visual understanding of concepts. This latest edition incorporates a new Visualizing the Graph feature that helps students make intuitive connections between graphs and functions without the aid of a graphing calculator.
In addition, students learn problem-solving skills from the Bittinger hallmark five-step problem-solving process coupled with Connecting the Concepts and Aha! Exercises. As you have come to expect with any Bittinger text, we bring you a complete supplements package including MyMathLab (R) and the newInstructor and Adjunct Support Manual.
目次
- Note: every chapter concludes with a Chapter Summary and Review and a Chapter Test. Chapters 3, 6, 9, 12, and 14 also have a Cumulative Review. 1. Introduction to Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Commutative, Associative, and Distributive Laws 1.3 Fraction Notation 1.4 Positive and Negative Real Numbers 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponential Notation and Order of Operations 2. Equations, Inequalities, and Problem Solving 2.1 Solving Equations 2.2 Using the Principles Together 2.3 Formulas 2.4 Applications with Percent 2.5 Problem Solving 2.6 Solving Inequalities 2.7 Solving Applications with Inequalities 3. Introduction to Graphing and Functions 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 3.2 Graphing Equations 3.3 Linear Equations and Intercepts 3.4 Rates 3.5 Slope 3.6 Slope-Intercept Form 3.7 Point-Slope Form
- Introduction to Curve Fitting 3.8 Functions 4. Systems of Equations in Two Variables 4.1 Systems of Equations and Graphing 4.2 Systems of Equations and Substitution 4.3 Systems of Equations and Elimination 4.4 More Applications Using Systems 4.5 Solving Equations by Graphing 5. Polynomials 5.1 Exponents and Their Properties 5.2 Negative Exponents and Scientific Notation 5.3 Polynomials and Polynomial Functions 5.4 Addition and Subtraction of Polynomials 5.5 Multiplication of Polynomials 5.6 Special Products 5.7 Polynomials in Several Variables 5.8 Division of Polynomials 5.9 The Algebra of Functions 6. Polynomial Factorizations and Equations 6.1 Introduction to Polynomial Factorizations and Equations 6.2 Equations Containing Trinomials of the Type x2 + bx + c 6.3 Equations Containing Trinomials of the Type ax2 + bx + c 6.4 Equations Containing Perfect-Square Trinomials and Differences of Squares 6.5 Equations Containing Sums or Differences of Cubes 6.6 Factoring: A General Strategy 6.7 Applications of Polynomial Equations 7. Rational Expressions, Equations, and Functions 7.1 Rational Expressions and Functions 7.2 Multiplication and Division 7.3 Addition, Subtraction, and Least Common Denominators 7.4 Addition and Subtraction with Unlike Denominators 7.5 Complex Rational Expressions 7.6 Rational Equations 7.7 Applications Using Rational Equations and Proportions 7.8 Formulas, Applications, and Variation 8. Inequalities 8.1 Graphical Solutions and Compound Inequalities 8.2 Absolute-Value Equations and Inequalities 8.3 Inequalities in Two Variables 8.4 Polynomial and Rational Inequalities 9. More on Systems 9.1 Systems of Equations in Three Variables 9.2 Solving Applications: Systems of Three Equations 9.3 Elimination Using Matrices 9.4 Determinants and Cramer's Rule 9.5 Business and Economics Applications 10. Exponents and Radical Functions 10.1 Radical Expressions, Functions, and Models 10.2 Rational Numbers as Exponents 10.3 Multiplying Radical Expressions 10.4 Dividing Radical Expressions 10.5 Expressions Containing Several Radical Terms 10.6 Solving Radical Equations 10.7 Geometric Applications 10.8 The Complex Numbers 11. Quadratic Functions and Equations 11.1 Quadratic Equations 11.2 The Quadratic Formula 11.3 Applications Involving Quadratic Equations 11.4 Studying Solutions of Quadratic Equations 11.5 Equations Reducible to Quadratic 11.6 Quadratic Functions and Their Graphs 11.7 More About Graphing Quadratic Functions 11.8 Problem Solving and Quadratic Functions 12. Exponential and Logarithmic Functions 12.1 Composite and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithmic Functions 12.5 Natural Logarithms and Changing Bases 12.6 Solving Exponential and Logarithmic Equations 12.7 Applications of Exponential and Logarithmic Functions 13. Conic Sections* 13.1 Conic Sections: Parabolas and Circles 13.2 Conic Sections: Ellipses 13.3 Conic Sections: Hyperbolas 13.4 Nonlinear Systems of Equations 14. Sequences, Series, and the Binomial Theorem* 14.1 Sequences and Series 14.2 Arithmetic Sequences and Series 14.3 Geometric Sequences and Series 14.4 The Binomial Theorem R. Elementary Algebra Review R.1 Introduction to Algebraic Expressions R.2 Equations, Inequalities, and Problem Solving R.3 Introduction to Graphing and Functions R.4 Systems of Equations in Two Variables R.5 Polynomials R.6 Polynomial Factorizations and Equations Appendix A: Working with Units Appendix B: Distance, Midpoints, and Circles *Available on included CD-ROM
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