- Integrated Review Exercises appear before all section exercise sets for review of skills, definitions, and problem solving from previous chapters.
- Skill-building Exercises provide a broad range of computational, conceptual, and applied problems.
- Chapter Summaries made up of Key Terms and Key Concepts reinforce not only concepts, but the language and main ideas behind them.
- Exercises Keyed to Examples provide students with convenient references back to helpful explanations earlier in the section.
- Section Objectives found at the beginning of sections are repeated at point of use throughout the chapter to promote self-assessment and mastery.
- Clear definitions and key concepts are emphasized in boxes for reinforcement of math vocabulary.
- Review Exercises, keyed by section and divided into two types, Reviewing Skills and Solving Problems, help students better prepare for tests and quizzes and help instructors assign review problems by sections completed.
- Exercises are graded by level of difficulty: Developing Skills, Solving Problems, and Explaining Concepts.
- Motivating the Chapter,real-life, multi-part problems in the chapter opener, provide a clear breakdown of the skills students will master throughout the chapter. The problem's sections are keyed to specific exercises and section sets. Ideal for homework assignments or collaborative projects.
- Applications and Real-data Problems reflect current statistics and information, providing students with a relevant view of how mathematics is used in contemporary society.
- Technology Tips, placed throughout the text at point of use, offer instruction on using technology to visualize concepts, perform computations, and verify solutions.
- Technology Discovery engages students in using technology to explore mathematical concepts and to discover patterns and relationships.
- Discussing the Concept activities provide instructors with flexible options for assigning individual homework, class discussion, or collaborative problems.
|Edition description:||Older Edition|
|Product dimensions:||8.50(w) x 11.00(h) x 0.68(d)|
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.
Table of Contents
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. The Real Number System 1.1. Real Numbers: Order and Absolute Value 1.2. Adding and Subtracting Integers 1.3. Multiplying and Dividing Integers 1.4. Operations with Rational Numbers 1.5. Exponents, Order of Operations, and Properties of Real Numbers 2. Fundamentals of Algebra 2.1. Writing and Evaluating Algebraic Expressions 2.2. Simplifying Algebraic Expressions 2.3. Algebra and Problem Solving 2.4. Introduction to Equations 3. Linear Equations and Problem Solving 3.1. Solving Linear Equations 3.2. Equations That Reduce to Linear Form 3.3. Problem Solving with Percents 3.4. Ratios and Proportions 3.5. Geometric and Scientific Applications 3.6. Linear Inequalities Cumulative Test: Chapters 1-3 4. Equations and Inequalities in Two Variables 4.1. Ordered Pairs and Graphs 4.2. Graphs of Equations in Two Variables 4.3. Slope and Graphs of Linear Equations 4.4. Equations of Lines 4.5. Graphs of Linear Inequalities 5. Exponents and Polynomials 5.1. Negative Exponents and Scientific Notation 5.2. Adding and Subtracting Polynomials 5.3. Multiplying Polynomials: Special Products 5.4. Dividing Polynomials 6. Factoring and Solving Equations 6.1. Factoring Polynomials with Common Factors 6.2. Factoring Trinomials 6.3. More About Factoring Trinomials 6.4. Factoring Polynomials with Special Forms 6.5. Solving Quadratic Equations by Factoring Cumulative Test: Chapters 4-6 7. Rational Expressions and Equations 7.1. Simplifying Rational Expressions 7.2. Multiplying and Dividing Rational Expressions 7.3. Adding and Subtracting Rational Expressions 7.4. Complex Fractions 7.5. Rational Equations and Applications 8. Systems of Linear Equations and Inequalities 8.1. Solving Systems of Equations by Graphing 8.2. Solving Systems of Equations by Substitution 8.3. Solving Systems of Equations by Elimination 8.4. Applications of Systems of Linear Equations 8.5. Systems of Linear Inequalities 9. Radical Expressions and Equations 9.1. Roots and Radicals 9.2. Simplifying Radicals 9.3. Operations with Radical Expressions 9.4. Radical Equations and Applications Cumulative Test: Chapters 7-9 10. Quadratic Equations and Functions 10.1. Solution by the Square Root Property 10.2. Solution by Completing the Square 10.3. Solution by the Quadratic Formula 10.4. Graphing Quadratic Equations 10.5. Applications of Quadratic Equations 10.6. Complex Numbers 10.7. Relations, Functions, and Graphs 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) Answers to Odd-Numbered Exercises, Quizzes, and Tests Index of Applications Index