Intermediate Algebra : Algebra Within Reach, International Edition

ISBN-13: 9781285160276 / Angielski / Miękka / 2013 / 688 str.

Ron Larson

Opis

Builds on the author's tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. This text continues coverage and integration of geometry in examples and exercises.

Spis treści

1. FUNDAMENTALS OF ALGEBRA. The Real Number System. Operations with Real Numbers. Properties of Real Numbers. Mid-Chapter Quiz. Study Skills in Action. Algebraic Expressions. Constructing Algebraic Expressions. Chapter Summary. Review Exercises. Chapter Test. 2. LINEAR EQUATIONS AND INEQUALITIES. Linear Equations. Linear Equations and Problem Solving. Business and Scientific Problems. Mid-Chapter Quiz. Study Skills in Action. Linear Inequalities. Absolute Value Equations and Inequalities. Chapter Summary. Review Exercises. Chapter Test. 3. GRAPHS AND FUNCTIONS. The Rectangular Coordinate System. Graphs of Equations. Slope and Graphs of Linear Equations. Equations of Lines. Mid-Chapter Quiz. Study Skills in Action. Graphs of Linear Inequalities. Relations and Functions. Graphs of Functions. Chapter Summary. Review Exercises. Chapter Test. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Equations. Linear Systems in Two Variables. Linear Systems in Three Variables. Mid-Chapter Quiz. Study Skills in Action. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-4. 5. POLYNOMIALS AND FACTORING. Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Mid-Chapter Quiz. Study Skills in Action. Factoring by Grouping and Special Forms. Factoring Trinomials. Solving Polynomial Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. 6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Mid-Chapter Quiz. Study Skills in Action. Dividing Polynomials and Synthetic Division. Solving Rational Equations. Variation. Chapter Summary. Review Exercises. Chapter Test. 7. RADICALS AND COMPLEX NUMBERS. Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Study Skills in Action. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 5-7. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Solving Quadratic Equations. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Study Skills in Action. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities. Chapter Summary. Review Exercises. Chapter Test. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Study Skills in Action. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications. Chapter Summary. Review Exercises. Chapter Test. 10. CONICS. Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Study Skills in Action. Hyperbolas. Solving Nonlinear Systems of Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 8-10. 11. SEQUENCES, SERIES, AND THE BINOMIAL THEOREM. Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Study Skills in Action. Geometric Sequences and Series. The Binomial Theorem. Chapter Summary. Review Exercises. Chapter Test.

O autorze

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.