College Algebra: Concepts and Models

Hardcover

ISBN 10: 061849281X ISBN 13: 9780618492817

Publisher: Cengage Learning, 2005

College Algebra: Concepts and Models provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text. A brief version of this text, College Algebra: A Concise Course, provides a shorter version of the text without the introductory review.

About the Author:

Dr. Ron Larson is a professor of Mathematics at The Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of Mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts 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.

Review:

Note: Each chapter includes a Mid-Chapter Quiz, Summary, Review Exercises, and Chapter Test. R1. Fundamental Concepts of Algebra R1.1 Real Numbers: Order and Absolute Value R1.2 The Basic Rules of Algebra R1.3 Integer Exponents R1.4 Radicals and Rational Exponents R1.5 Polynomials and Special Products R1.6 Factoring R1.7 Fractional Expressions Make a Decision Project: Musical Notes and Frequencies R2. Equations and Inequalities R2.1 Linear Equations R2.2 Mathematical Modeling R2.3 Quadratic Equations R2.4 The Quadratic Formula R2.5 Other Types of Equations R2.6 Linear Inequalities R2.7 Other Types of Inequalities Make a Decision Project: Salaries in Professional Baseball Cumulative Test: Chapters R1-R2 1. Functions and Graphs 1.1 Graphs of Equations 1.2 Lines in the Plane 1.3 Linear Modeling and Direct Variation 1.4 Functions 1.5 Graphs of Functions 1.6 Transformations of Functions 1.7 The Algebra of Functions 1.8 Inverse Functions Make a Decision Project: Demographics 2. Polynomial and Rational Functions 2.1 Quadratic Functions and Models 2.2 Polynomial Functions of Higher Degree 2.3 Polynomial Division 2.4 Real Zeros of Polynomial Functions 2.5 Complex Numbers 2.6 The Fundamental Theorem of Algebra 2.7 Rational Functions Make a Decision Project: Renewable Energy 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Properties of Logarithms 3.4 Solving Exponential and Logarithmic Equations 3.5 Exponential and Logarithmic Models Make a Decision Project: Newton's Law of Cooling Cumulative Test: Chapters 1-3 4. Systems of Equations and Inequalities 4.1 Solving Linear Systems Using Substitution 4.2 Solving Linear Systems Using Elimination 4.3 Linear Systems in Three or More Variables 4.4 Systems of Inequalities 4.5 Linear Programming Make a Decision Project: Newspapers 5. Matrices and Determinants 5.1 Matrices and Linear Systems 5.2 Operations with Matrices 5.3 The Inverse of a Square Matrix 5.4 The Determinant of a Square Matrix 5.5 Applications of Matrices and Determinants Make a Decision Project: Market Share 6. Sequences, Series, and Probability 6.1 Sequences and Summation Notation 6.2 Arithmetic Sequences and Partial Sums 6.3 Geometric Sequences and Series 6.4 The Binomial Theorem 6.5 Counting Principles 6.6 Probability 6.7 Mathematical Induction Make a Decision Project: The Multiplier Effect Cumulative Test: Chapters 4-6 Appendices A. An Introduction to Graphing Utilities B. Conic Sections B.1 Conic Sections B.2 Conic Sections and Translations C. Further Concepts in Statistics (Available on the web/CD only) C.1 Data and Linear Modeling C.2 Measures of Central Tendency and Dispersion