Intermediate Algebra

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9780669396157: Intermediate Algebra

Designed for first-year developmental students who need support in intermediate algebra, the Fourth Edition of Intermediate Algebra retains the hallmark features for which the Larson team is known: abundant, high-quality applications; the use of real data; the integration of visualization (figures and graphs) throughout; and extensive opportunities for self-assessment (mid-chapter quizzes, review exercises, tests, and cumulative tests). In developing supportive features for the Fourth Edition, the authors' goal is for students to come away from the class with a firm understanding of algebra and how it functions as a modern modeling language.

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About the Author:

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.

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.

Review:

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 Mulitplying 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 the Binomial Theorem 11.1 Sequences and Series 11.2 Arithmetic Sequences 11.3 Geometric Sequences and Series 11.4 The Binomial Theorem Appendix A. Introduction to Graphing Calculators Appendix B. Further Concepts in Geometry (web) B.1 Exploring Congruence and Similarity B.2 Angles Appendix C. Further Concepts in Statistics (web) Appendix D. Introduction to Logic (web) D.1 Statements and Truth Tables D.2 Implications, Quantifiers, and Venn Diagrams D.3 Logical Arguments Appendix E. Counting Principles (web) Appendix F. Probability (web) Answers to Odd-Numbered Exercises, Quizzes, and Tests Index of Applications Index

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