Algebra for college students
著者
書誌事項
Algebra for college students
Pearson Addison Wesley, c2008
6th ed
- : student ed
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注記
Includes index
内容説明・目次
内容説明
The Lial series has helped thousands of students succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. With this edition the authors continue to provide students and instructors with the very best package for learning and teaching support-a book written with student success as its top priority and an expanded instructor supplements package.
目次
- Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises. Chapter 1: Review of the Real Number System 1.1 Basic Concepts 1.2 Operations on Real Numbers 1.3 Exponents, Roots, and Order of Operations 1.4 Properties of Real Numbers Chapter 2: Linear Equations, Inequalities, and Applications 2.1 Linear Equations in One Variable 2.2 Formulas 2.3 Applications of Linear Equations 2.4 Further Applications of Linear Equations Summary Exercises on Solving Applied Problems 2.5 Linear Inequalities in One Variable 2.6 Set Operations and Compound Inequalities 2.7 Absolute Value Equations and Inequalities Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities Chapter 3: Graphs, Linear Equations, and Functions 3.1 The Rectangular Coordinate System 3.2 The Slope of a Line 3.3 Linear Equations in Two Variables Summary Exercises on Slopes and Equations of Lines 3.4 Linear Inequalities in Two Variables 3.5 Introduction to Functions Chapter 4: Systems of Linear Equations 4.1 Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations in Three Variables 4.3 Applications of Systems of Linear Equations 4.4 Solving Systems of Linear Equations by Matrix Methods Chapter 5: Exponents, Polynomials, and Polynomial Functions 5.1 Integer Exponents and Scientific Notation 5.2 Adding and Subtracting Polynomials 5.3 Polynomial Functions, Graphs, and Composition 5.4 Multiplying Polynomials 5.5 Dividing Polynomials Chapter 6: Factoring 6.1 Greatest Common Factors
- Factoring by Grouping 6.2 Factoring Trinomials 6.3 Special Factoring 6.4 A General Approach to Factoring 6.5 Solving Equations by Factoring Chapter 7: Rational Expressions and Functions 7.1 Rational Expressions and Functions
- Multiplying and Dividing 7.2 Adding and Subtracting Rational Expressions 7.3 Complex Fractions 7.4 Equations with Rational Expressions and Graphs Summary Exercises on Rational Expressions and Equations 7.5 Applications of Rational Expressions 7.6 Variation Chapter 8: Roots, Radicals, and Root Functions 8.1 Radical Expressions and Graphs 8.2 Rational Exponents 8.3 Simplifying Radical Expressions 8.4 Adding and Subtracting Radical Expressions 8.5 Multiplying and Dividing Radical Expressions Summary Exercises on Operations with Radicals and Rational Exponents 8.6 Solving Equations with Radicals 8.7 Complex Numbers Chapter 9: Quadratic Equations and Inequalities 9.1 The Square Root Property and Completing the Square 9.2 The Quadratic Formula 9.3 Equations Quadratic in Form Summary Exercises on Solving Quadratic Equations 9.4 Formulas and Further Applications 9.5 Quadratic and Rational Inequalities Chapter 10: Additional Graphs of Functions and Relations 10.1 Review of Operations and Composition 10.2 Graphs of Quadratic Functions 10.3 More about Parabolas and Their Applications 10.4 Symmetry
- Increasing and Decreasing Functions 10.5 Piecewise Linear Functions Chapter 11: Inverse, Exponential, and Logarithmic Functions 11.1 Inverse Functions 11.2 Exponential Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Common and Natural Logarithms 11.6 Exponential and Logarithmic Equations
- Further Applications Chapter 12: Polynomial and Rational Functions 12.1 Synthetic Division 12.2 Zeros of Polynomial Functions 12.3 Graphs and Applications of Polynomial Functions Summary Exercises on Polynomial Functions and Graphs 12.4 Graphs and Applications of Rational Functions Chapter 13: Conic Sections and Systems of Inequalities 13.1 The Circle and the Ellipse 13.2 The Hyperbola and Functions Defined by Radicals 13.3 Nonlinear Systems of Equations 13.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming Chapter 14: Further Topics in Algebra 14.1 Sequences and Series 14.2 Arithmetic Sequences 14.3 Geometric Sequences 14.4 The Binomial Theorem 14.5 Mathematical Induction 14.6 Counting Theory 14.7 Basics of Probability Appendixes A: An Introduction to Calculators B: Properties of Matrices C: Matrix Inverses D: Determinants and Cramer's Rule
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