Synopses & Reviews
Get a better grade with PRECALCULUS! With a focus on teaching the essentials, this mathematics text provides you with the fundamentals necessary to be successful in this course and your future calculus course. Exercises and examples are presented the way that you will encounter them in calculus so that you are truly prepared for your next course. Learning tools found throughout the text such as exercises, calculus connections, and true and false questions help you master difficult concepts.
Synopsis
Make the grade with PRECALCULUS and its accompanying technology! With a focus on teaching the essentials, this streamlined mathematics text provides you with the fundamentals necessary to be successful in this course--and your future calculus course. Exercises and examples are presented in the same way that you will encounter them in calculus, familiarizing you with concepts you'll use again, and preparing you to succeed. In-text study aids further help you master concepts.
About the Author
J. Douglas Faires is a Emeritus Professor of Mathematics at Youngstown State University, where he received his undergraduate degree. His masters and doctoral degrees were awarded by the University of South Carolina. His mathematical interests include analysis, numerical analysis, mathematics history, and problems solving. Dr. Faires has won numerous awards, including the Outstanding College-University Teacher of Mathematics by the Ohio Section of MAA and five Distinguished Faculty awards from Youngstown State University, which also awarded him an Honorary Doctor of Science award in 2006. Faires served on the Council of Pi Mu Epsilon for nearly two decades, including a term as President, was the Co-Director of the American Mathematics Competitions AMC-10 and AMC-12 examinations for 8 years, and has been a long-term judge for the COMAP International Contest in Mathematical Modeling. He has authored or co-authored more than 20 books, including recent MAA publications to assist young students with mathematical problem solving. Jim DeFranza is a Professor of Mathematics at St. Lawrence University. His research interests are in analysis, sequence space theory and summability. He received his PhD from Kent State University.
Table of Contents
Chapter 1 Functions. 1.1 Introduction. 1.2 The Real Line. 1.3 The Coordinate Plane. 1.4 Equations and Graphs. 1.5 Using Technology to Graph Functions. 1.6 Functions. 1.7 Linear Functions. 1.8 Quadratic Functions. Review Exercises. Exercises for Calculus. Chapter Test. Chapter 2 New Functions From Old. 2.1 Introduction. 2.2 Other Common Functions. 2.3 Arithmetic Combinations of Functions. 2.4 Composition of Functions. 2.5 Inverse Functions. Review Exercises. Exercises for Calculus. Chapter Test. Chapter 3 Algebraic Functions. 3.1 Introduction. 3.2 Polynomial Functions. 3.3 Finding Factors and Zeros of Polynomials. 3.4 Rational Functions. 3.5 Other Algebraic Functions. 3.6 Complex Roots of Polynomials. Review Exercises. Exercises for Calculus. Chapter Test. Chapter 4 Trigonometric Functions. 4.1 Introduction. 4.2 Measuring Angles. 4.3 Right-Triangle Trigonometry. 4.4 The Sine and Cosine Functions. 4.5 Graphs of the Since and Cosine Functions. 4.6 Other Trigonometric Functions. 4.7 Trigonometric Identities. 4.8 Inverse Trigonometric Functions. 4.9 Additional Trigonometric Applications. Review Exercises. Exercises for Calculus. Chapter Test. Chapter 5 Exponential and Logarithm Functions. 5.1 Introduction. 5.2 The Natural Exponential Function. 5.3 Logarithm Functions. 5.4 Exponential Growth and Decay. Review Exercises. Exercises for Calculus. Chapter Test. Chapter 6 Conic Sections, Polar Coordinates, and Parametric Equations. 6.1 Introduction. 6.2 Parabolas. 6.3 Ellipses. 6.4 Hyperbolas. 6.5 Polar Coordinates. 6.6 Conic Sections in Polar Coordinates. 6.7 Parametric Equations. Review Exercises. Exercises for Calculus . Chapter Test.