College algebra and trigonometry / / J.S. Ratti, Marcus McWaters

• Autore: Ratti J. S.
• Pubblicazione: Boston : , : Pearson, , [2015]; ©2015
• Edizione: Third, Global edition.
• Descrizione fisica: 1 online resource (1,108 pages) : illustrations (some color)
• Disciplina: 512.9
• Soggetto topico: Algebra
• Persona (resp. second.): McWatersMarcus
• Note generali: Includes index.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Cover -- Title Page -- Contents -- Preface -- Resources -- Acknowledgments -- About the Authors -- Chapter P Basic Concepts of Algebra -- P.1 The Real Numbers and Their Properties -- Classifying Numbers -- Equality of Numbers -- Classifying Sets of Numbers -- Rational Numbers -- Irrational Numbers -- The Real Number Line -- Inequalities -- Sets -- Definition of Union and Intersection -- Intervals -- Absolute Value -- Distance Between Two Points on a Real Number Line -- Arithmetic Expressions -- Properties of the Real Numbers -- Subtraction and Division of Real Numbers -- Algebraic Expressions -- P.2 Integer Exponents and Scientific Notation -- Integer Exponents -- Rules of Exponents -- Simplifying Exponential Expressions -- Scientific Notation -- P.3 Polynomials -- Polynomial Vocabulary -- Adding and Subtracting Polynomials -- Multiplying Polynomials -- Special Products -- Squaring a Binomial Sum or Difference -- The Product of the Sum and Difference of Terms -- P.4 Factoring Polynomials -- The Greatest Common Monomial Factor -- Factoring Out a Monomial -- Factoring Trinomials of the Form x2 + bx + c -- Factoring Formulas -- Perfect-Square Trinomials -- Difference of Squares -- Difference and Sum of Cubes -- Factoring by Grouping -- Factoring Trinomials of the Form Ax2 + Bx + C -- P.5 Rational Expressions -- Rational Expressions -- Lowest Terms for a Rational Expression -- Multiplication and Division of Rational Expressions -- Addition and Subtraction of Rational Expressions -- Complex Fractions -- P.6 Rational Exponents and Radicals -- Square Roots -- Simplifying Square Roots -- Other Roots -- Like Radicals -- Radicals with Different Indexes -- Rationalizing Radical Expressions -- Conjugates -- Rational Exponents -- Chapter P Summary -- Chapter P Review Exercises -- Chapter P Practice Test -- Chapter 1 Equations and Inequalities. ; 1.1 Linear Equations in One Variable -- Definitions -- Equivalent Equations -- Solving Linear Equations in One Variable -- Formulas -- Applications -- 1.2 Quadratic Equations -- Factoring Method -- The Square Root Method -- Completing the Square -- The Quadratic Formula -- Applications -- Golden Rectangle -- 1.3 Complex Numbers: Quadratic Equations with Complex Solutions -- Complex Numbers -- Addition and Subtraction -- Multiplying Complex Numbers -- Complex Conjugates and Division -- Quadratic Equations with Complex Solutions -- 1.4 Solving Other Types of Equations -- Solving Equations by Factoring -- Rational Equations -- Equations Involving Radicals -- Equations with Rational Exponents -- Equations That Are Quadratic in Form -- 1.5 Inequalities -- Inequalities -- Linear Inequalities -- Combining Two Inequalities -- Using Test Points to Solve Inequalities -- 1.6 Equations and Inequalities Involving Absolute Value -- Equations Involving Absolute Value -- Inequalities Involving Absolute Value -- Chapter 1 Summary -- Chapter 1 Review Exercises -- Chapter 1 Practice Test A -- Chapter 1 Practice Test B -- Chapter 2 Graphs and Functions -- 2.1 The Coordinate Plane -- The Coordinate Plane -- Scales on a Graphing Utility -- Distance Formula -- Midpoint Formula -- 2.2 Graphs of Equations -- Graph of an Equation -- Intercepts -- Symmetry -- Circles -- Semicircles -- 2.3 Lines -- Slope of a Line -- Equation of a Line -- Slope-Intercept Form -- Equations of Horizontal and Vertical Lines -- General Form of the Equation of a Line -- Parallel and Perpendicular Lines -- Modeling Data Using Linear Regression -- 2.4 Functions -- Functions -- Function Notation -- Representations of Functions -- The Domain of a Function -- The Range of a Function -- Graphs of Functions -- Function Information from Its Graph -- Building Functions -- Functions in Economics. ; 2.5 Properties of Functions -- Increasing and Decreasing Functions -- Relative Maximum and Minimum Values -- Even-Odd Functions and Symmetry -- Average Rate of Change -- 2.6 A Library of Functions -- Linear Functions -- Square Root and Cube Root Functions -- Piecewise Functions -- Graphing Piecewise Functions -- Basic Functions -- 2.7 Transformations of Functions -- Transformations -- Vertical and Horizontal Shifts -- Reflections -- Stretching or Compressing -- Multiple Transformations in Sequence -- 2.8 Combining Functions -- Composite Functions -- Combining Functions -- Composition of Functions -- Domain of Composite Functions -- Decomposition of a Function -- Applications of Composite Functions -- 2.9 Inverse Functions -- Inverses -- Finding the Inverse Function -- Finding the Range of a One-to-One Function -- Applications -- Chapter 2 Summary -- Chapter 2 Review Exercises -- Chapter 2 Practice Test A -- Chapter 2 Practice Test B -- Chapter 2 Cumulative Review Exercises Chapters P-2 -- Chapter 3 Polynomial and Rational Functions -- 3.1 Quadratic Functions -- Quadratic Functions -- Standard Form of a Quadratic Function -- Graphing a Quadratic Function f(x) = ax2 + bx + c -- Applications -- 3.2 Polynomial Functions -- Polynomial Functions -- Power Functions -- End Behavior of Polynomial Functions -- Zeros of a Function -- Zeros and Turning Points -- Graphing a Polynomial Function -- 3.3 Dividing Polynomials -- The Division Algorithm -- Synthetic Division -- The Remainder and Factor Theorems -- 3.4 T he Real Zeros of a Polynomial Function -- Real Zeros of a Polynomial Function -- Rational Zeros Theorem -- Descartes's Rule of Signs -- Bounds on the Real Zeros -- Find the Real Zeros of a Polynomial Function -- 3.5 The Complex Zeros of a Polynomial Function -- Conjugate Pairs Theorem -- 3.6 Rational Functions -- Rational Functions. ; Vertical and Horizontal Asymptotes -- Translations of f(x)=1/x -- Graphing Rational Functions -- Oblique Asymptotes -- Graph of a Revenue Curve -- 3.7 Variation -- Direct Variation -- Inverse Variation -- Joint and Combined Variation -- Chapter 3 Summary -- Chapter 3 Review Exercises -- Chapter 3 Practice Test A -- Chapter 3 Practice Test B -- Chapter 3 Cumulative Review -- Chapter 4 Exponential and Logarithmic Functions -- 4.1 Exponential Functions -- Exponential Functions -- Evaluate Exponential Functions -- Graphing Exponential Functions -- Simple Interest -- Compound Interest -- Continuous Compound Interest Formula -- The Natural Exponential Function -- Natural Exponential Growth and Decay -- 4.2 Logarithmic Functions -- Logarithmic Functions -- Evaluating Logarithms -- Basic Properties of Logarithms -- Domains of Logarithmic Functions -- Graphs of Logarithmic Functions -- Common Logarithm -- Natural Logarithm -- Investments -- Newton's Law of Cooling -- 4.3 Rules of Logarithms -- Rules of Logarithms -- Number of Digits -- Change of Base -- Growth and Decay -- Half-Life -- Radiocarbon Dating -- 4.4 Exponential and Logarithmic Equations and Inequalities -- Solving Exponential Equations -- Applications of Exponential Equations -- Solving Logarithmic Equations -- Logarithmic and Exponential Inequalities -- 4.5 Logarithmic Scales -- pH Scale -- Earthquake Intensity -- Loudness of Sound -- Musical Pitch -- Star Brightness -- Chapter 4 Summary -- Chapter 4 Review Exercises -- Chapter 4 Practice Test A -- Chapter 4 Practice Test B -- Chapter 4 Cumulative Review Exercises Chapters P-4 -- Chapter 5 Trigonometric Functions -- 5.1 Angles and Their Measure -- Angles -- Angle Measure -- Degree Measure -- Radian Measure -- Relationship Between Degrees and Radians -- Complements and Supplements -- Length of an Arc of a Circle -- Area of a Sector. ; Linear and Angular Speed -- 5.2 Right-Triangle Trigonometry -- Trigonometric Ratios and Functions -- Relations between Trigonometric Functions -- Function Values for Some Special Angles -- Evaluating Trigonometric Functions Using a Calculator -- Complements -- Applications -- 5.3 Trigonometric Functions of Any Angle -- The Unit Circle -- Trigonometric Functions of Angles -- Quadrantal Angles -- Coterminal Angles -- Signs of the Trigonometric Functions -- Reference Angle -- Using Reference Angles -- Circular Functions -- 5.4 Graphs of the Sine and Cosine Functions -- Properties of Sine and Cosine -- Domain and Range of Sine and Cosine -- Zeros of Sine and Cosine Functions -- Even-Odd Properties -- Periodic Functions -- Graphs of Sine and Cosine Functions -- Graph of the Sine Function -- Graph of the Cosine Function -- Five Key Points -- Amplitude and Period -- Biorhythm States -- Phase Shift -- Vertical Shifts -- Simple Harmonic Motion -- 5.5 Graphs of the Other Trigonometric Functions -- Tangent Function -- Graph of y = tan x -- Graphs of the Reciprocal Functions -- 5.6 Inverse Trigonometric Functions -- The Inverse Sine Function -- The Inverse Cosine Function -- The Inverse Tangent Function -- Other Inverse Trigonometric Functions -- Evaluating Inverse Trigonometric Functions -- Composition of Trigonometric and Inverse Trigonometric Functions -- Chapter 5 Summary -- Chapter 5 Review Exercises -- Chapter 5 PracticeTest A -- Chapter 5 Practice Test B -- Chapter 5 Cumulative Review Exercises Chapters P-5 -- Chapter 6 Trigonometric Identities and Equations -- 6.1 Verifying Identities -- Fundamental Trigonometric Identities -- Evaluating Trigonometric Functions Using the Fundamental Identities -- Simplifying a Trigonometric Expression -- Trigonometric Equations and Identities -- Process of Verifying Trigonometric Identities. ; Methods of Verifying Trigonometric Identities.
• Sommario/riassunto: Ratti and McWaters have combined years of lecture notes and classroom experience to bring you a series that connects concepts and maintains course rigor. An extensive array of exercises and learning aids further complements your instruction, which ultimately helps to improve student mathematical understanding and results in the course. This program will provide a better teaching and learning experience-for you and your students. Here's how: Improve Results with MyMathLab®: MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning. Guide Students to Become Active Learners with student-friendly support features that are designed to help students see not only what they are going to learn, but also why, so that every concept is placed into the proper context. Encourage Students to Practice with three levels of exercises designed to help students practice the math and apply their understanding. Help Students Review and Study with Integrated Study Aids thataddress some of the most frequent issues and questions.
• Titolo autorizzato: College algebra and trigonometry
• ISBN: 1-292-07890-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154808003321
• Lo trovi qui: Univ. Federico II