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Overview

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students for further study in mathematics, the new Eighth Edition retains the features that have always made College Algebra a complete solution for both students and instructors: interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples and exercises.

Ron Larson, The Pennsylvania State University, The Behrend College

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 2013 Text and Academic Authors Association Award for CALCULUS, 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 bestselling Calculus series published by Cengage.
  • NEW Cap Stone Exercises - the Cap Stone exercises assesses students understanding of all concepts covered in the section's material.
  • NEW detailed Chapter Review - The new edition now includes explanations and/or examples for all learning objectives. This will further promote students' understanding of the material.
  • NEW Caution/Warning boxes - The warnings cautions students away from common errors and pitfalls.
  • NEW Algebra Helps - the author provides appropriate caution boxes, study tips and algebra helps to guide the student through difficult concepts.
  • Improved Examples (graphical solution side by side with algebraic solution). This is intended to improve the students graphical understanding of algebra.
  • New/Revised End of section exercises.
  • Enhanced WebAssign.
  • Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts.
  • Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles.
  • Checkpoints after each Example/Solution refer students to similar problems in the Section Exercises, giving students the opportunity to practice and reinforce the concepts they just learned. Answers to Checkpoint exercises are included at the back of the book.
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.
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.
2. FUNCTIONS AND THEIR GRAPHS.
Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions.
3. POLYNOMIAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation.
4. RATIONAL FUNCTIONS AND CONICS.
Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics.
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.
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.
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.
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.
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.
ALTERNATIVE/EXPANDED VERSION OF CHAPTER P (WEB).
Operations with Real Numbers. Properties of Real Numbers. Algebraic Expressions. Operations with Polynomials. Factoring Polynomials. Factoring Trinomials.
WebAssign
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

Standalone Digital Access — Ultimate Value

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Digital Access + Print — Flexible Value

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  • ISBN-10: 1305603850
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Textbook Only Options

Traditional eBook and Print Options

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Online Complete Solutions Manual

ISBN: 9781337282758
This manual, which is available on the instructor’s companion site, contains solutions to all exercises from the text, including Chapter Review Exercises and Chapter Tests.

Online Test Bank

ISBN: 9781337282734
This Online Test Bank, which is available on the instructor’s companion site, includes test forms for every chapter of the text.

Cengage Learning Testing, powered by Cognero® Instant Access

ISBN: 9781337282512
Cengage Learning Testing, powered by Cognero® is a flexible online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want. This is available online via www.cengage.com/login.

Study Guide with Student Solutions Manual

ISBN: 9781337291507
This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

FOR STUDENTS

Study Guide with Student Solutions Manual

ISBN: 9781337291507
This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.