Intermediate algebra
著者
書誌事項
Intermediate algebra
Pearson Addison Wesley, c2007
2nd ed
- : student's ed
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注記
Includes indexes
内容説明・目次
内容説明
This student-focused text addresses individual learning styles through the use of a complete study system that starts with a learning styles inventory and presents targeted learning strategies designed to guide students toward success in this and future college-level courses.
Students who approach math with trepidation will find that Intermediate Algebra, Second Edition, builds competence and confidence. The study system, introduced at the outset and used consistently throughout the text, transforms the student experience by applying time-tested strategies to the study of mathematics. Learning strategies dovetail nicely into the overall system and build on individual learning styles by addressing students' unique strengths. The authors talk to students in their own language and walk them through the concepts, showing students both how to do the math and the reasoning behind it. Tying it all together, the use of the Algebra Pyramid as an overarching theme relates specific chapter topics to the `big picture' of algebra.
目次
- Chapter 1 Real Numbers and Expressions 1.1 Sets and the Structure of Algebra 1.2 Operations with Real Numbers
- Properties of Real Numbers 1.3 Exponents, Roots, and Order of Operations 1.4 Evaluating and Rewriting Expressions Chapter 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations and Formulas 2.2 Solving Problems 2.3 Solving Linear Inequalities 2.4 Compound Inequalities 2.5 Equations Involving Absolute Value 2.6 Inequalities Involving Absolute Value Chapter 3 Equations and Inequalities in Two Variables and Functions 3.1 Graphing Linear Equations 3.2 The Slope of a Line 3.3 The Equation of a Line 3.4 Graphing Linear Inequalities 3.5 Introduction to Functions and Function Notation Chapter 4 Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables 4.2 Solving Systems of Linear Equations in Three Variables 4.3 Solving Applications Using Systems of Equations 4.4 Solving Systems of Linear Equations Using Matrices 4.5 Cramer's Rule 4.6 Solving Systems of Linear Inequalities Chapter 5 Polynomials 5.1 Exponents and Scientific Notation 5.2 Polynomials and Polynomial Functions 5.3 Multiplying Polynomials 5.4 Dividing Polynomials 5.5 Synthetic Division and the Remainder Theorem Chapter 6 Factoring 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials 6.3 Factoring Special Products and Factoring Strategies 6.4 Solving Equations by Factoring Chapter 7 Rational Expressions and Equations 7.1 Simplifying, Multiplying, and Dividing Rational Expressions 7.2 Adding and Subtracting Rational Expressions 7.3 Simplifying Complex Rational Expressions 7.4 Solving Equations Containing Rational Expressions 7.5 Applications with Rational Expressions
- Variation Chapter 8 Rational Exponents, Radicals, and Complex Numbers 8.1 Radical Expressions and Functions 8.2 Rational Exponents 8.3 Multiplying, Dividing, and Simplifying Radicals 8.4 Adding, Subtracting, and Multiplying Radical Expressions 8.5 Rationalizing Numerators and Denominators of Radical Expressions 8.6 Radical Equations and Problem Solving 8.7 Complex Numbers Chapter 9 Quadratic Equations 9.1 Completing the Square 9.2 Solving Quadratic Equations Using the Quadratic Formula 9.3 Solving Equations That Are Quadratic in Form 9.4 Graphing Quadratic Functions 9.5 Solving Nonlinear Inequalities Chapter 10 Exponential and Logarithmic Functions 10.1 Composite and Inverse Functions 10.2 Exponential Functions 10.3 Logarithmic Functions 10.4 Properties of Logarithms 10.5 Common and Natural Logarithms 10.6 Exponential and Logarithmic Equations with Applications Chapter 11 Conic Sections 11.1 The Parabola and the Circle 11.2 Ellipses and Hyperbolas 11.3 Nonlinear Systems of Equations 11.4 Nonlinear Inequalities and Systems of Inequalities Appendix A Arithmetic Sequences and Series Appendix B Geometric Sequences and Series Appendix C The Binomial Theorem Appendix D Permutations and Combinations Appendix E Probability
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