For courses in precalculus. Ties concepts together using a functions approach The Concepts Through Functions Series introduces functions at the start of each text, and maintains a continuous theme by introducing/developing a new function in every chapter. Known for their ability to connect with today’s students, acclaimed authors Sullivan and Sullivan focus on the fundamentals – preparing for class, practice with homework, and reviewing key concepts – encouraging students to master basic skills and develop the conceptual understanding needed for this and future courses. Graphing utility coverage is optional, and can be included at the discretion of each instructor based on course needs. Also available with MyLab Math MyLabTM Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0134859049 / 9780134859040 Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry Plus MyLab Math with eText -- Title-Specific Access Card Package, 4/e Package consists of: 0134686977 / 9780134686974 Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry0134852214 / 9780134852218 MyLab Math with Pearson eText - Standalone Access Card - for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry
Les mer
Table of Contents Foundations: A Prelude to Functions F.1 The Distance and Midpoint FormulasF.2 Graphs of Equations in Two Variables; Intercepts; SymmetryF.3 LinesF.4 CirclesChapter ProjectFunctions and Their Graphs 1.1 Functions1.2 The Graph of a Function1.3 Properties of Functions1.4 Library of Functions; Piecewise-defined Functions1.5 Graphing Techniques: Transformations1.6 Mathematical Models: Building Functions1.7 Building Mathematical Models Using VariationChapter ReviewChapter TestChapter ProjectsLinear and Quadratic Functions 2.1 Properties of Linear Functions and Linear Models2.2 Building Linear Models from Data2.3 Quadratic Functions and Their Zeros2.4 Properties of Quadratic Functions2.5 Inequalities Involving Quadratic Functions2.6 Building Quadratic Models from Verbal Descriptions and from Data2.7 Complex Zeros of a Quadratic Function2.8 Equations and Inequalities Involving the Absolute Value FunctionChapter ReviewChapter TestCumulative ReviewChapter ProjectsPolynomial and Rational Functions 3.1 Polynomial Functions and Models3.2 The Real Zeros of a Polynomial Function3.3 Complex Zeros; Fundamental Theorem of Algebra3.4 Properties of Rational Functions3.5 The Graph of a Rational Function3.6 Polynomial and Rational InequalitiesChapter ReviewChapter TestCumulative ReviewChapter ProjectsExponential and Logarithmic Functions 4.1 Composite Functions4.2 One-to-One Functions; Inverse Functions4.3 Exponential Functions4.4 Logarithmic Functions4.5 Properties of Logarithms4.6 Logarithmic and Exponential Equations4.7 Financial Models4.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models4.9 Building Exponential, Logarithmic, and Logistic Models from DataChapter ReviewChapter TestCumulative ReviewChapter ProjectsTrigonometric Functions 5.1 Angles and Their Measure5.2 Trigonometric Functions: Unit Circle Approach5.3 Properties of the Trigonometric Functions5.4 Graphs of the Sine and Cosine Functions5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions5.6 Phase Shift; Sinusoidal Curve FittingChapter ReviewChapter TestCumulative ReviewChapter ProjectsAnalytic Trigonometry 6.1 The Inverse Sine, Cosine, and Tangent Functions6.2 The Inverse Trigonometric Functions (Continued)6.3 Trigonometric Equations6.4 Trigonometric Identities6.5 Sum and Difference Formulas6.6 Double-angle and Half-angle Formulas6.7 Product-to-Sum and Sum-to-Product FormulasChapter ReviewChapter TestCumulative ReviewChapter ProjectsApplications of Trigonometric Functions 7.1 Right Triangle Trigonometry; Applications7.2 The Law of Sines7.3 The Law of Cosines7.4 Area of a Triangle7.5 Simple Harmonic Motion; Damped Motion; Combining WavesChapter ReviewChapter TestCumulative ReviewChapter ProjectsPolar Coordinates; Vectors 8.1 Polar Coordinates8.2 Polar Equations and Graphs8.3 The Complex Plane; De Moivre’s Theorem8.4 Vectors8.5 The Dot Product8.6 Vectors in Space8.7 The Cross ProductChapter ReviewChapter TestCumulative ReviewChapter ProjectsAnalytic Geometry 9.1 Conics9.2 The Parabola9.3 The Ellipse9.4 The Hyperbola9.5 Rotation of Axes; General Form of a Conic9.6 Polar Equations of Conics9.7 Plane Curves and Parametric EquationsChapter ReviewChapter TestCumulative ReviewChapter ProjectsSystems of Equations and Inequalities 10.1 Systems of Linear Equations: Substitution and Elimination10.2 Systems of Linear Equations: Matrices10.3 Systems of Linear Equations: Determinants10.4 Matrix Algebra10.5 Partial Fraction Decomposition10.6 Systems of Nonlinear Equations10.7 Systems of Inequalities10.8 Linear ProgrammingChapter ReviewChapter TestCumulative ReviewChapter ProjectsSequences; Induction; the Binomial Theorem 11.1 Sequences11.2 Arithmetic Sequences11.3 Geometric Sequences; Geometric Series11.4 Mathematical Induction11.5 The Binomial TheoremChapter ReviewChapter TestCumulative ReviewChapter ProjectsCounting and Probability 12.1 Counting12.2 Permutations and Combinations12.3 ProbabilityChapter ReviewChapter TestCumulative ReviewChapter ProjectsA Preview of Calculus: The Limit, Derivative, and Integral of a Function 13.1 Finding Limits Using Tables and Graphs13.2 Algebra Techniques for Finding Limits13.3 One-sided Limits; Continuous Functions13.4 The Tangent Problem; The Derivative13.5 The Area Problem; The IntegralChapter ReviewChapter TestChapter Projects Appendix A: Review A.1 Algebra EssentialsA.2 Geometry EssentialsA.3 PolynomialsA.4 Factoring PolynomialsA.5 Synthetic DivisionA.6 Rational ExpressionsA.7 nth Roots; Rational ExponentsA.8 Solving EquationsA.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsA.10 Interval Notation; Solving InequalitiesA.11 Complex Numbers Appendix B: Graphing Utilities B.1 The Viewing RectangleB.2 Using a Graphing Utility to Graph EquationsB.3 Using a Graphing Utility to Locate Intercepts and Check for SymmetryB.4 Using a Graphing Utility to Solve EquationsB.5 Square ScreensB.6 Using a Graphing Utility to Graph InequalitiesB.7 Using a Graphing Utility to Solve Systems of Linear EquationsB.8 Using a Graphing Utility to Graph a Polar EquationB.9 Using a Graphing Utility to Graph Parametric Equations Answers Photo Credits Index
Les mer
Hallmark features of this title Just-in-time review begins all sections to prepare students for the topics ahead.Preparing for This Section lists previously learned concepts with page references that will be useful in the section ahead.Now Work "Are You Prepared?" problems at the start of each exercise set help students check their preparedness for the section ahead.Within each section, students get guidance to help them master material and develop problem-solving skills.Assess Your Understanding at the end of every section offers a variety of problems to help students master skills.DWR (Discussion, Writing and Research) problems are marked by an icon and red numbers. They support class discussion, verbalization of mathematical ideas, and writing and research projects.
Les mer
New and updated features of this title Updated Retain Your Knowledge  problems in the exercise set improve student recall of concepts learned earlier in the course. Updated graphing images  throughout each chapter show TI-84 Plus C and Desmos© screenshots. Using the graphing technology students are most familiar with, these images help students visualize concepts clearly and make stronger connections among equations, data and graphs in full color.Revised definitions:  Definitions have been reviewed and in a few cases updated for consistency with those presented in Calculus.For example, in the definitions for increasing/decreasing functions, the word “open” has been deleted, allowing for functions to increase/decrease on any type of interval.The objective “Find the Equation of a Line Given Two Points” in Chapter F, Section 3 has been moved after the objective “Identify the Slope and y-Intercept of a Line from Its Equation.” This allows the authors to express lines in slope-intercept form.
Les mer

Produktdetaljer

ISBN
9780134686974
Publisert
2018-01-08
Utgave
4. utgave
Utgiver
Vendor
Pearson
Vekt
2760 gr
Høyde
279 mm
Bredde
224 mm
Dybde
48 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
1224

Biographical note

About our authors

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.

Michael Sullivan, III has training in mathematics, statistics and economics, with a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his 3 children, Michael, Kevin and Marissa, and playing golf. Now that his 2 sons are getting older, he has the opportunity to do both at the same time!