College Algebra
- AUTHOR: Ron Larson
- ISBN-13: 9781133963028
- Grade(s): 9 | 10 | 11 | 12
- 624 Pages Hardcover
- 9th Edition | Previous Editions: 2011
- ©2014 Published
- Prices are valid only in the respective region
Larson's COLLEGE ALGEBRA is known for delivering sound, consistently structured explanations and exercises of mathematical concepts to prepare students for further study in mathematics. With the ninth edition, Larson continues to revolutionize the way students learn material by incorporating more real-world applications, ongoing review, and innovative technology. "How Do You See It?" exercises give students practice applying the concepts, and new "Summarize" features, "Checkpoint" problems, and a Companion Website reinforce understanding of the skill sets to help students better prepare for tests. Enhanced WebAssignÂ® features fully integrated content from the text, with the addition of end-of-section problems and chapter tests, as well as problem-specific videos, animations, and lecture videos.
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 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, 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.
P. PREREQUISITES.
Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.
Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. FUNCTIONS AND THEIR GRAPHS.
Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.
3. POLYNOMIAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4. RATIONAL FUNCTIONS AND CONICS.
Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.
6. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
7. MATRICES AND DETERMINANTS.
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
8. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: ERRORS AND THE ALGEBRA OF CALCULUS.
APPENDIX B: CONCEPTS IN STATISTICS (WEB).
Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.
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