College Algebra & Trigonometry

Hardcover | January 4, 2016

byJulie Miller, Donna Gerken

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Format:HardcoverDimensions:9.41 × 7.24 × 0.98 inPublished:January 4, 2016Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0078035627

ISBN - 13:9780078035623

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Table of Contents

College Algebra & Trigonometry © 2017

Chapter R:Review of Prerequisites

SectionR.1Sets and the Real Number LineSectionR.2Integer Exponents and Scientific NotationSectionR.3Rational Exponents and RadicalsSectionR.4Polynomials and Multiplication of RadicalsProblem Recognition Exercises Simplifying Algebraic ExpressionsSectionR.5FactoringSectionR.6Rational Expressions and More Operations on RadicalsAlgebra for Calculus

Chapter 1:Equations and Inequalities

Section1.1Linear Equations and Rational EquationsSection1.2Applications with Linear and Rational EquationsSection1.3Complex NumbersSection1.4Quadratic EquationsProblem Recognition Exercises Simplifying Expressions Versus Solving EquationsSection 1.5Applications of Quadratic EquationsSection1.6More Equations and ApplicationsSection1.7Linear, Compound, and Absolute Value InequalitiesProblem Recognition Exercises Recognizing and Solving Equations and InequalitiesEquations for Calculus

Chapter 2:Functions and Relations

Section2.1The Rectangular Coordinate System and Graphing UtilitiesSection2.2CirclesSection2.3Functions and RelationsSection2.4Linear Equations in Two Variables and Linear FunctionsSection2.5Applications of Linear Equations and ModelingProblem Recognition Exercises Comparing Graphs of EquationsSection2.6Transformations of GraphsSection2.7Analyzing Graphs of Functions and Piecewise-Defined FunctionsSection2.8Algebra of Functions and Function Composition

Chapter 3:Polynomial and Rational Functions

Section3.1Quadratic Functions and ApplicationsSection3.2Introduction to Polynomial FunctionsSection3.3Division of Polynomials and the Remainder and Factor TheoremsSection3.4Zeros of PolynomialsSection3.5Rational FunctionsProblem Recognition Exercises Polynomial and Rational FunctionsSection3.6Polynomial and Rational InequalitiesProblem Recognition Exercises Solving Equations and InequalitiesSection3.7Variation

Chapter 4:Exponential and Logarithmic Functions

Section4.1Inverse FunctionsSection4.2Exponential FunctionsSection4.3Logarithmic FunctionsProblem Recognition Exercises Analyzing FunctionsSection4.4Properties of LogarithmsSection4.5Exponential and Logarithmic EquationsSection4.6Modeling with Exponential and Logarithmic Functions

Chapter 5:Trigonometric Functions

Section5.1Angles and Their MeasureSection5.2Right Triangle TrigonometrySection5.3Trigonometric Functions of Any AngleSection5.4Trigonometric Functions Defined on the Unit CircleSection5.5Graphs of Sine and Cosine FunctionsSection5.6Graphs of Other Trigonometric FunctionsProblem Recognition Exercises Comparing Graphical Characteristics of Trigonometric FunctionsSection5.7Inverse Trigonometric Functions

Chapter 6:Analytic Trigonometry

Section6.1Fundamental Trigonometric IdentitiesSection6.2Sum and Difference FormulasSection6.3Double-Angle and Half-Angle FormulasSection6.4Product-to-Sum and Sum-to-Product FormulasSection6.5Trigonometric Equations

Chapter 7:Applications of Trigonometric Functions

Section7.1Applications of Right TrianglesSection7.2The Law of SinesSection7.3The Law of CosinesProblem Recognition Exercises Solving Triangles Using a Variety of ToolsSection7.4Harmonic Motion and Combinations of Trigonometric Functions

Chapter 8:Trigonometry Applied to Rectangular and Polar Coordinate Systems and Vectors

Section8.1Polar CoordinatesSection8.2Graphs of Polar EquationsProblem Recognition Exercises Comparing Equations in Polar and Rectangular FormSection 8.3Complex Numbers in Polar FormSection8.4VectorsSection8.5Dot Product

Chapter 9:Systems of Equations and Inequalities

Section9.1Systems of Linear Equations in Two Variables and ApplicationsSection9.2Systems of Linear Equations in Three Variables and ApplicationsSection9.3Partial Fraction DecompositionSection9.4Systems of Nonlinear Equations in Two VariablesSection9.5Inequalities and Systems of Inequalities in Two VariablesProblem Recognition Exercises Equations and Inequalities in Two VariablesSection9.6Linear Programming

Chapter 10:Matrices and Determinants and Applications

Section10.1Solving Systems of Linear Equations Using MatricesSection10.2Inconsistent Systems and Dependent EquationsSection10.3Operations on MatricesSection10.4Inverse Matrices and Matrix EquationsSection10.5Determinants and Cramer's RuleProblem Recognition Exercises Using Multiple Methods to Solve Systems of Linear Equations

Chapter 11:Analytic Geometry

Section11.1The EllipseSection11.2The HyperbolaSection11.3The ParabolaProblem Recognition Exercises Comparing Equations of Conic Sections and General EquationSection11.4Rotation of AxesSection11.5Polar Equations of ConicsSection11.6Plane Curves and Parametric Equations

Chapter 12:Sequences, Series, Induction, and Probability

Section12.1Sequences and SeriesSection12.2Arithmetic Sequences and SeriesSection12.3Geometric Sequences and SeriesProblem Recognition Exercises Comparing Arithmetic and Geometric Sequences and SeriesSection12.4Mathematical InductionSection12.5The Binomial TheoremSection12.6Principles of CountingSection12.7Introduction to Probability

Online:Section A-1Proof of the Binomial TheoremA-2Definition of Conics From a Fixed Point and Fixed Line