Precalculus: Graphical, Numerical, Algebraic, Global Edition

For courses in Precalculus The Rule of Four: A Balanced Approach Precalculus: Graphical, Numerical, Algebraic provides a balanced approach to problem solving and a consistent transition from Precalculus to Calculus. A principal feature of this text is the balance among the algebraic, numerical, graphical, and verbal methods of representing problems: the rule of 4. This approach reinforces the idea that to understand a problem fully, students need to understand it algebraically as well as graphically and numerically. The 10th Edition introduces graphing technology as an essential tool for mathematical discovery and effective problem solving. This edition also features a full chapter on Statistics to help students see that statistical analysis is an investigative process.

Table of Contents:
Prerequisites P.1 Real Numbers P.2 Cartesian Coordinate System P.3 Linear Equations and Inequalities P.4 Lines in the Plane P.5  SolvingEquations Graphically, Numerically, and Algebraically P.6 Complex Numbers P.7 Solving Inequalities Algebraically and Graphically  1. Functions and Graphs 1.1 Modeling and Equation Solving 1.2 Functions and Their Properties 1.3 Twelve Basic Functions 1.4 Building Functions from Functions 1.5 Parametric Relations and Inverses 1.6 Graphical Transformations 1.7 Modeling with Functions 2. Polynomial, Power, and Rational Functions 2.1 Linear and Quadratic Functions and Modeling 2.2 Modeling with Power Functions 2.3 Polynomial Functions of Higher Degree with Modeling 2.4 Real Zeros of Polynomial Functions 2.5  ComplexZeros and the Fundamental Theorem of Algebra 2.6 Graphs of Rational Functions 2.7 Solving Equations in One Variable 2.8 Solving Inequalities in One Variable 3. Exponential, Logistic, and Logarithmic Functions 3.1 Exponential and Logistic Functions 3.2 Exponential and Logistic Modeling 3.3 Logarithmic Functions and Their Graphs 3.4 Properties of Logarithmic Functions 3.5 Equation Solving and Modeling 3.6 Mathematics of Finance 4. Trigonometric Functions 4.1 Angles and Their Measures 4.2 Trigonometric Functions of Acute Angles 4.3 Trigonometry Extended: The Circular Functions 4.4 Graphs of Sine and Cosine: Sinusoids 4.5 Graphs of Tangent, Cotangent, Secant, andCosecant  4.6 Graphs of Composite Trigonometric Functions 4.7 Inverse Trigonometric Functions 4.8 Solving Problems with Trigonometry 5. Analytic Trigonometry 5.1 Fundamental Identities 5.2 Proving Trigonometric Identities 5.3 Sum and Difference Identities 5.4 Multiple-Angle Identities 5.5 The Law of Sines 5.6 The Law of Cosines 6. Applications of Trigonometry 6.1 Vectors in the Plane 6.2 Dot Product of Vectors 6.3 Parametric Equations and Motion 6.4 Polar Coordinates 6.5 Graphs of Polar Equations 6.6 De Moivre's Theorem and nth Roots 7. Systems and Matrices 7.1 Solving Systems of Two Equations 7.2 Matrix Algebra 7.3 Multivariate Linear Systems and Row Operations 7.4 Systems of Inequalities in Two Variables 8. Analytic Geometry in Two and Three Dimensions 8.1 Conic Sections and a New Look at Parabolas 8.2 Circles and Ellipses 8.3 Hyperbolas 8.4 Quadratic Equations with xy Terms 8.5 Polar Equations of Conics 8.6 Three-Dimensional Cartesian Coordinate System 9. Discrete Mathematics 9.1 Basic Combinatorics 9.2 Binomial Theorem 9.3 Sequences 9.4 Series 9.5 Mathematical Induction 10. Statistics and Probability 10.1 Probability  10.2 Statistics (Graphical) 10.3 Statistics (Numerical) 10.4 Random Variables and Probability Models 10.5 Statistical Literacy 11. An Introduction to Calculus:Limits, Derivatives, and Integrals 11.1 Limits and Motion: The Tangent Problem 11.2 Limits and Motion: The Area Problem 11.3 More on Limits 11.4 Numerical Derivatives and Integrals Algebra Review A.1 Radicals and Rational Exponents A.2 Polynomials and Factoring A.3 Fractional Expressions Logic B.1 Logic: An Introduction B.2 Conditionals and Biconditionals Key Formulas C.1 Formulas from Algebra C.2 Formulas from Geometry C.3 Formulas from Trigonometry C.4 Formulas from Analytic Geometry C.5 Gallery of Basic Functions

About the Author :
Franklin D. Demana Frank Demana received his master's and Ph.D. degrees in mathematics from Michigan State University. Currently, he is Professor Emeritus of Mathematics at The Ohio State University. As an active supporter of the use of technology to teach and learn mathematics, he is cofounder of the international Teachers Teaching with Technology (T3) professional development program. He has been the director or codirector of more than $10 million of National Science Foundation (NSF) and foundational grant activities, including a $3 million grant from the U.S. Department of Education Mathematics and Science Educational Research program awarded to The Ohio State University. Along with frequent presentations at professional meetings, he has published a variety of articles in the areas of computer-and calculator-enhanced mathematics instruction. Dr. Demana is also cofounder (with Bert Waits) of the annual International Conference on Technology in Collegiate Mathematics(ICTCM). He is co-recipient of the 1997 Glenn Gilbert National Leadership Award presented by the National Council of Supervisors of Mathematics, co-recipient of the 1998 Christofferson-Fawcett Mathematics Education Award presented by the Ohio Council of Teachers of Mathematics, and recipient of the 2015 National Council of Teachers of Mathematics (NCTM) Lifetime Achievement Award. Dr. Demana co-authored Calculus: Graphical, Numerical, Algebraic; Essential Algebra: A Calculator Approach; Transition to College Mathematics; College Algebra and Trigonometry: A Graphing Approach; College Algebra: A Graphing Approach; Precalculus: Functions and Graphs; and Intermediate Algebra: A Graphing Approach. Bert K. Waits Bert Waits received his Ph.D. from The Ohio State University and was Professor Emeritus of Mathematics there. Dr. Waits was cofounder of the international Teachers Teaching with Technology (T3) professional development program and was codirector or principal investigator on several large National Science Foundation projects. Dr. Waits published articles in more than 70 nationally recognized professional journals. He frequently gave invited lectures, workshops, and mini courses at national meetings of the Mathematical Association of America and the National Council of Teachers of Mathematics (NCTM) on how to use computer technology to enhance the teaching and learning of mathematics. Dr. Waits was co-recipient of the 1997 Glenn Gilbert National Leadership Award presented by the National Council of Supervisors of Mathematics, and was the cofounder (with Frank Demana)of the ICTCM. He was also co-recipient of the 1998 Christofferson-Fawcett Mathematics Education Award presented by the Ohio Council of Teachers of Mathematics and recipient of the 2015 NCTM Lifetime Achievement Award. Dr.Waits was one of the six authors of the high school portion of the ground breaking 1989 NCTM Standards. Dr.Waits co-authored Calculus: Graphical, Numerical, Algebraic; College Algebra and Trigonometry: A Graphing Approach; College Algebra: A Graphing Approach; Precalculus: Functions and Graphs; and Intermediate Algebra: A Graphing Approach. Gregory D. Foley Greg Foley received B.A. and M.A. degrees in mathematics and a Ph.D. in mathematics education from The University of Texas at Austin. He is the Robert L. Morton Professor of Mathematics Education at Ohio University. Dr. Foley has taught elementary arithmetic through graduate-level mathematics, as well as upper-division and graduate-level mathematics education classes. He has held full-time faculty positions at North Harris County College, Austin Community College, The Ohio State University, Sam Houston State University, and Appalachian State University, and served as Director of the Liberal Arts and Science Academy and as Senior Scientist for Secondary School Mathematics Improvement for the Austin Independent School District in Austin, Texas. Dr. Foley has presented over 400lectures, workshops, and institutes throughout the United States and, internationally, has directed or codirected more than 60 funded projects totalling over $5million. He has published over 50 book chapters and journal articles. In 1998,he received the biennial American Mathematical Association of Two-Year Colleges(AMATYC) Award for Mathematics Excellence; in 2005, the annual Teachers Teaching with Technology (T3) Leadership Award; in 2013, Ohio University's Patton College award for distinguished graduate teaching; and in 2015, the Ohio Council of Teachers of Mathematics Kenneth Cummins Award for exemplary mathematics teaching at the university level. Dr. Foley co-authored Precalculus: A Graphing Approach; Precalculus: Functions and Graphs; and Advanced Quantitative Reasoning: Mathematics for the World Around Us. Daniel Kennedy Dan Kennedy received his undergraduate degree from the College of the Holy Cross and his master's degree and Ph.D. in mathematics from the University of North Carolina at Chapel Hill. Since 1973 he has taught mathematics at the Baylor School in Chattanooga, Tennessee, where he holds the Cartter Lupton Distinguished Professorship. Dr. Kennedy joined the Advanced Placement Calculus Test Development Committee in 1986, then in 1990 became the first high school teacher in 35years to chair that committee. It was during his tenure as chair that the program moved to require graphing calculators and laid the early groundwork for the 1998 reform of the Advanced Placement Calculus curriculum. The author of the1997 Teacher's Guide—AP Calculus, Dr. Kennedy has conducted more than 50workshops and institutes for high school calculus teachers. His articles on mathematics teaching have appeared in the Mathematics Teacher and the American Mathematical Monthly, and he is a frequent speaker on education reform at professional and civic meetings. Dr. Kennedy was named a Tandy Technology Scholar in 1992 and a Presidential Award winner in 1995. Dr. Kennedy co-authored Calculus: Graphical, Numerical, Algebraic; Prentice Hall Algebra I; Prentice Hall Geometry; and Prentice Hall Algebra 2. David E. Bock Dave Bock holds degrees from the University at Albany (NY) in mathematics (B.A.) and statistics/education (M.S.). Mr. Bock taught mathematics at Ithaca High School for 35 years, including both BC Calculus and AP Statistics. He also taught Statistics at Tompkins-Cortland Community College, Ithaca College, and Cornell University, where he recently served as K–12 Education and Outreach Coordinator and Senior Lecturer for the Mathematics Department. Mr. Bock serves as a Statistics consultant to the College Board, leading numerous workshops, and institutes for AP Statistics teachers. He has been a reader for the AP Calculus exam and both a reader and a table leader for the AP Statistics exam. During his career Mr. Bock won numerous teaching awards, including the MAA's Edyth MaySliffe Award for Distinguished High School Mathematics Teaching (twice) and Cornell University's Outstanding Educator Award (three times), and was also a finalist for New York State Teacher of the Year. Mr. Bock co-authored the AP Statistics textbook Stats: Modeling the World, then on-AP text Stats in Your World, Barron's AP Calculus review book, and Barron's AP Calculus Flash Cards.