Elementary and intermediate algebra
著者
書誌事項
Elementary and intermediate algebra
Pearson / Addison-Wesley, c2009
2nd ed
- : hbk.
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内容説明・目次
内容説明
George Woodbury's Algebra Series empowers students for future success in college-level math courses through its early-and-often approach to functions and graphing, integrated study strategies, and quality exercise sets that encourage true conceptual understanding. By writing this text from the ground up as a single textbook, George has reduced the amount of overlap typically found in these courses and focused instead on providing more exercises and applications. The special Transition Chapter reviews elementary algebra topics while moving forward into intermediate algebra material, keeping students engaged in new topics.
One of the ways George prepares his students for future mathematics courses is by introducing the fundamental algebraic concepts of functions and graphing early and then consistently incorporating these concepts throughout the text. Strong exercise sets that provide both volume and variety are critical to student success, so George has written extensive sets that incorporate not only a substantial amount of skill and drill, but also plenty of writing exercises that encourage critical thinking and creativity. The key to success for developmental students is often not just about the math: it's about making sure that students understand how to study and prepare for a math class. To give students the confidence they require to succeed, George fully integrates study strategies throughout the text and also provides further guidance via an additional Study Skills Workbook, written specifically for his texts by Alan Bass.
目次
- 1. Review of Real Numbers 1.1 Integers, Opposites, and Absolute Values 1.2 Operations with Integers 1.3 Fractions 1.4 Operations with Fractions 1.5 Decimals and Percents 1.6 Representing Data Graphically 1.7 Exponents and Order of Operations 1.8 Introduction to Algebra 2. Linear Equations 2.1 Introduction to Linear Equations 2.2 Solving Linear Equations: A General Strategy 2.3 Problem Solving
- Applications of Linear Equations 2.4 Applications Involving Percentages
- Ratio and Proportion 2.5 Linear Inequalities 3. Graphing Linear Equations 3.1 The Rectangular Coordinate System
- Equations in Two Variables 3.2 Graphing Linear Equations and Their Intercepts 3.3 Slope of a Line 3.4 Linear Functions 3.5 Parallel and Perpendicular Lines 3.6 Equations of Lines 3.7 Linear Inequalities 4. Systems of Equations 4.1 Systems of Linear Equations
- Solving Systems by Graphing 4.2 Solving Systems of Equations by Using the Substitution Method 4.3 Solving Systems of Equations by Using the Addition Method 4.4 Applications of Systems of Equations 4.5 Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 Exponents 5.2 Negative Exponents
- Scientific Notation 5.3 Polynomials
- Addition and Subtraction of Polynomials 5.4 Multiplying Polynomials 5.5 Dividing of Polynomials 6. Factoring and Quadratic Equations 6.1 An Introduction to Factoring
- The Greatest Common Factor
- Factoring by Grouping 6.2 Factoring Trinomials of the Form 6.3 Factoring Trinomials of the Form x2 + bx + c, where a 1 6.4 Factoring Special Binomials 6.5 Factoring Polynomials: A General Strategy 6.6 Solving Quadratic Equations by Factoring 6.7 Quadratic Functions 6.8 Applications of Quadratic Equations and Quadratic Functions 7. Rational Expressions and Equations 7.1 Rational Expressions and Functions 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction of Rational Expressions That Have the Same Denominator 7.4 Addition and Subtraction of Rational Expressions That Have Different Denominators 7.5 Complex Fractions 7.6 Rational Equations 7.7 Applications of Rational Equations 8. A Transition 8.1 Linear Equations and Absolute Value Equations 8.2 Linear Inequalities and Absolute Value Inequalities 8.3 Graphing Linear Equations and Functions
- Graphing Absolute Value Functions 8.4 Review of Factoring
- Quadratic Equations and Rational Equations 8.5 Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns) 9. Radical Expressions and Equations 9.1 Square Roots, Radical Notation 9.2 Rational Exponents 9.3 Simplifying, Adding, and Subtracting Radical Expressions 9.4 Multiplying and Dividing of Radical Expressions 9.5 Radical Equations and Applications of Radical Equations 9.6 The Complex Numbers 10. Quadratic Equations 10.1 Solving Quadratic Equations by Extracting Square Roots
- Completing the Square 10.2 The Quadratic Formula 10.3 Equations That Are Quadratic in Form 10.4 Graphing Quadratic Equations 10.5 Applications Using Quadratic Equations 10.6 Quadratic and Rational Inequalities 11. Functions 11.1 Review of Functions 11.2 Linear Functions 11.3 Quadratic Functions 11.4 Other Functions and Their Graphs 11.5 The Algebra of Functions 11.6 Inverse Functions 12. Logarithmic and Exponential Functions 12.1 Exponential Functions 12.2 Logarithmic Functions 12.3 Properties of Logarithms 12.4 Exponential and Logarithmic Equations 12.5 Applications of Exponential and Logarithmic Functions 12.6 Graphing Exponential and Logarithmic Functions 13. Conic Sections 13.1 Parabolas 13.2 Circles 13.3 Ellipses 13.4 Hyperbolas 13.5 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 Appendixes A. Synthetic Division B. Using Matrices to Solve Systems of Equations C. Sample Solutions to Writing in Mathematics Exercises
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