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.
"The writing is clear and accessible for students…Concepts are developed through a series of carefully constructed illustrative examples which make transitions from precalculus to calculus smooth." "The text contains a wealth of the end-of-section and end-of-chapter exercises to provide students with opportunities to reinforce new concepts presented in the test. Skills development is appropriately balanced with concept development. Chapter Tests help students practice for the real thing."
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.
1. FUNCTIONS. Introduction. The Real Line. Inequalities. Intervals. Absolute Values. The Coordinate Plane. Distance Between Points in the Plane. Circles in the Plane. Completing the Square. Equations and Graphs. Graphs of Equations. Symmetry of a Graph. Using Technology to Graph Equations. Functions. Applications of Functions. Linear Functions. Parallel and Perpendicular Lines. Quadratic Functions. The Standard Form of a Quadratic Equation. The Quadratic Formula. 2. NEW FUNCTIONS FROM OLD. Introduction. Other Common Functions. The Absolute Value Function. The Square Root Function. The Greatest Integer Function. Arithmetic Combinations of Functions. Composition of Functions. Inverse Functions. 3. ALGEBRAIC FUNCTIONS. Introduction. Polynomial Functions. Finding Factors and Zeros of Polynomials. The Rational Zero Test. Rational Functions. Other Algebraic Functions. Complex Roots of Polynomials. 4. TRIGONOMETRIC FUNCTIONS. Introduction. Measuring Angles. Length of a Circular Arc. Area of a Circular Sector. The Sine and Cosine Functions. Graphs of the Sine and Cosine Functions. Other Trigonometric Functions. The Graph of the Tangent Function. Trigonometric Identities. Pythagorean Identities. Sum and Difference Formulas. Double Angle Formulas. Half Angle Formulas. Products of Sines and Cosines. Right-Triangle Trigonometry. Inverse Trigonometric Functions. Applications of Trigonometric Functions. Law of Cosines. Law of Sines. Simple Harmonic Motion. Heron's Formula. 5. EXPONENTIAL AND LOGARITHM FUNCTIONS. Introduction. The Natural Exponential Function. Compound Interest. Logarithm Functions. Exponential Growth and Decay. 6. CONIC SECTIONS, POLAR COORDINATES, AND PARAMETRIC EQUATIONS. Introduction. Parabolas. Ellipses. Hyperbolas. Polar Coordinates. Graphs of Polar Equations. Conic Sections in Polar Coordinates. Parametric Equations.