Larson IS student success. ELEMENTARY AND INTERMEDIATE ALGEBRA owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Fifth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.
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.
1. THE REAL NUMBER SYSTEM. Real Numbers: Order and Absolute Value. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Operations with Rational Numbers. Exponents, Order of Operations, and Properties of Real Numbers. 2. FUNDAMENTALS OF ALGEBRA. Writing and Evaluating Algebraic Expressions. Simplifying Algebraic Expressions. Mid-Chapter Quiz. Algebra and Problem Solving. Introduction to Equations. 3. EQUATIONS, INEQUALITIES AND PROBLEM SOLVING. Solving Linear Equations. Equations that Reduce to Linear Form. Problem Solving with Percents. Mid-Chapter Quiz. Geometric and Scientific Applications. Linear Inequalities. Absolute Value Equations and Inequalities. 4. GRAPHS AND FUNCTIONS. Ordered Pairs and Graphs. Graphs of Equations in Two Variables. Relations, Functions, and Graphs. Mid-Chapter Quiz. Slope and Graphs of Linear Equations. Equations of Lines. Graphs of Linear Inequalities. 5. EXPONENTS AND POLYNOMIALS. Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Multiplying Polynomials: Special Products. Dividing Polynomials and Synthetic Division. 6. FACTORING AND SOLVING EQUATIONS. Factoring Polynomials with Common Factors. Factoring Trinomials. More About Factoring Trinomials. Mid-Chapter Quiz. Factoring Polynomials with Special Forms. Solving Polynomial Equations by Factoring. 7. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Complex Fractions. Solving Rational Equations. Applications and Variation. 8. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing and Substitution. Solving Systems of Equations by Elimination. Linear Systems in Three Variables. Mid-Chapter Quiz. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities. 9. RADICALS AND COMPLEX NUMBERS. Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers. 10. QUADRATIC EQUATIONS, FUNCTIONS AND INEQUALITIES. Solving Quadratic Equations: Factoring and Special Forms. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Graphs of Quadratic Equations. Applications of Quadratic Equations. Quadratic and Rational Inequalities. 11. EXPONENTS AND LOGARITHMIC FUNCTIONS. Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications. 12. CONICS. Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Hyperbolas. Solving Nonlinear Systems of Equations. 13. SEQUENCES, SERIES, AND THE BINOMIAL THEOREM. Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Geometric Sequences and Series. The Binomial Theorem. APPENDICES. Appendix A: Review of Elementary Algebra Topics. Appendix B. Introduction to Graphing Calculators. Appendix C: Further Concepts in Geometry (Web). Appendix D: Further Concepts in Statistics (Web). Appendix E: Introduction to Logic (Web). Appendix F: Counting Principles (Web). Appendix G: Probability (Web). ANSWERS TO ODD-NUMBERED EXERCISES, QUIZZES, AND TESTS. INDEX OF APPLICATIONS. INDEX.