Designed to support first-year developmental math students taking an intermediate-level algebra course, this new text offers the hallmark features developed by the best-selling Larson team: abundant high-quality applications, the use of real data, the integration of visualization (many figures and graphs) throughout, and extensive opportunities for self-assessment. The authors' goal is for students to come away from the course with a firm understanding of algebra and how it functions as a modern modeling language.
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Note: Each chapter is preceded by "Motivating the Chapter," includes a Mid-Chapter Quiz, and concludes with "What Did You Learn?" (Chapter Summary), Review Exercises, and a Chapter Test. 1. Fundamentals of Algebra 1.1 The Real Number System 1.2 Operations with Real Numbers 1.3 Properties of Real Numbers 1.4 Algebraic Expressions 1.5 Constructing Algebraic Expressions 2. Linear Equations and Inequalities 2.1 Linear Equations 2.2 Linear Equations and Problem Solving 2.3 Business and Scientific Problems 2.4 Linear Inequalities 2.5 Absolute Value Equations and Inequalities 3. Graphs and Functions 3.1 The Rectangular Coordinate System 3.2 Graphs of Equations 3.3 Slope and Graphs of Linear Equations 3.4 Equations of Lines 3.5 Graphs of Linear Inequalities 3.6 Relations and Functions 3.7 Graphs of Functions 4. Systems of Equations and Inequalities 4.1 Systems of Equations 4.2 Linear Systems in Two Variables 4.3 Linear Systems in Three Variables 4.4 Matrices and Linear Systems 4.5 Determinants and Linear Systems 4.6 Systems of Linear Inequalities Cumulative Test: Chapters 1-4 5. Polynomials and Factoring 5.1 Integer Exponents and Scientific Notation 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Factoring by Grouping and Special Forms 5.5 Factoring Trinomials 5.6 Solving Polynomial Equations by Factoring 6. Rational Expressions, Equations, and Functions 6.1 Rational Expressions and Functions 6.2 Multiplying and Dividing Rational Expressions 6.3 Adding and Subtracting Rational Expressions 6.4 Complex Fractions 6.5 Dividing Polynomials and Synthetic Division 6.6 Solving Rational Equations 6.7 Applications and Variation 7. Radicals and Complex Numbers 7.1 Radicals and Rational Exponents 7.2 Simplifying Radical Expressions 7.3 Adding and Subtracting Radical Expressions 7.4 Multiplying and Dividing Radical Expressions 7.5 Radical Equations and Applications 7.6 Complex Numbers Cumulative Test: Chapters 5-7 8. Quadratic Equations, Functions, and Inequalities 8.1 Solving Quadratic Equations: Factoring and Special Forms 8.2 Completing the Square 8.3 The Quadratic Formula 8.4 Graphs of Quadratic Functions 8.5 Applications of Quadratic Equations 8.6 Quadratic and Rational Inequalities 9. Exponential and Logarithmic Functions 9.1 Exponential Functions 9.2 Composite and Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms 9.5 Solving Exponential and Logarithmic Equations 9.6 Applications 10. Conics 10.1 Circles and Parabolas 10.2 Ellipses 10.3 Hyperbolas 10.4 Solving Nonlinear Systems of Equations Cumulative Test: Chapters 8-10 11. Sequences, Series, and Probability 11.1 Sequences and Series 11.2 Arithmetic Sequences 11.3 Geometric Sequences and Series 11.4 The Binomial Theorem 11.5 Counting Principles 11.6 Probability 12. More on Polynomial and Rational Functions 12.1 Operations on Functions 12.2 Graphs of Polynomial Functions 12.3 Zeros of Polynomial Functions 12.4 Graphs of Rational Functions Appendices A. Introduction to Graphing Calculators B. Further Concepts in Geometry (available on the textbook web site) C. Further Concepts in Statistics (available on the textbook web site) D. Introduction to Logic (available on the textbook web site) Additional Answers Technology Answers Index of Applications Index
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The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks. Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, and 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). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.
Note: Each chapter is preceded by "Motivating the Chapter," includes a Mid-Chapter Quiz, and concludes with "What Did You Learn?" (Chapter Summary), Review Exercises, and a Chapter Test. 1. Fundamentals of Algebra 1.1 The Real Number System 1.2 Operations with Real Numbers 1.3 Properties of Real Numbers 1.4 Algebraic Expressions 1.5 Constructing Algebraic Expressions 2. Linear Equations and Inequalities 2.1 Linear Equations 2.2 Linear Equations and Problem Solving 2.3 Business and Scientific Problems 2.4 Linear Inequalities 2.5 Absolute Value Equations and Inequalities 3. Graphs and Functions 3.1 The Rectangular Coordinate System 3.2 Graphs of Equations 3.3 Slope and Graphs of Linear Equations 3.4 Equations of Lines 3.5 Graphs of Linear Inequalities 3.6 Relations and Functions 3.7 Graphs of Functions 4. Systems of Equations and Inequalities 4.1 Systems of Equations 4.2 Linear Systems in Two Variables 4.3 Linear Systems in Three Variables 4.4 Matrices and Linear Systems 4.5 Determinants and Linear Systems 4.6 Systems of Linear Inequalities Cumulative Test: Chapters 1-4 5. Polynomials and Factoring 5.1 Integer Exponents and Scientific Notation 5.2 Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Factoring by Grouping and Special Forms 5.5 Factoring Trinomials 5.6 Solving Polynomial Equations by Factoring 6. Rational Expressions, Equations, and Functions 6.1 Rational Expressions and Functions 6.2 Multiplying and Dividing Rational Expressions 6.3 Adding and Subtracting Rational Expressions 6.4 Complex Fractions 6.5 Dividing Polynomials and Synthetic Division 6.6 Solving Rational Equations 6.7 Applications and Variation 7. Radicals and Complex Numbers 7.1 Radicals and Rational Exponents 7.2 Simplifying Radical Expressions 7.3 Adding and Subtracting Radical Expressions 7.4 Multiplying and Dividing Radical Expressions 7.5 Radical Equations and Applications 7.6 Complex Numbers Cumulative Test: Chapters 5-7 8. Quadratic Equations, Functions, and Inequalities 8.1 Solving Quadratic Equations: Factoring and Special Forms 8.2 Completing the Square 8.3 The Quadratic Formula 8.4 Graphs of Quadratic Functions 8.5 Applications of Quadratic Equations 8.6 Quadratic and Rational Inequalities 9. Exponential and Logarithmic Functions 9.1 Exponential Functions 9.2 Composite and Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms 9.5 Solving Exponential and Logarithmic Equations 9.6 Applications 10. Conics 10.1 Circles and Parabolas 10.2 Ellipses 10.3 Hyperbolas 10.4 Solving Nonlinear Systems of Equations Cumulative Test: Chapters 8-10 11. Sequences, Series, and Probability 11.1 Sequences and Series 11.2 Arithmetic Sequences 11.3 Geometric Sequences and Series 11.4 The Binomial Theorem 11.5 Counting Principles 11.6 Probability 12. More on Polynomial and Rational Functions 12.1 Operations on Functions 12.2 Graphs of Polynomial Functions 12.3 Zeros of Polynomial Functions 12.4 Graphs of Rational Functions Appendices A. Introduction to Graphing Calculators B. Further Concepts in Geometry (available on the textbook web site) C. Further Concepts in Statistics (available on the textbook web site) D. Introduction to Logic (available on the textbook web site) Additional Answers Technology Answers Index of Applications Index
