College Algebra & Trigonometry

Julie Miller, Donna Gerken (Autoren)

Buch | Hardcover

1264 Seiten

2016
McGraw-Hill Inc.,US (Verlag)
978-0-07-803562-3 (ISBN)

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Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series. What sets Julie Miller’s series apart is that it addresses course issues through an author-created digital package that maintains a consistent voice and notation throughout the program. This consistency--in videos, PowerPoints, Lecture Notes, and Group Activities--coupled with the power of ALEKS and Connect Hosted by ALEKS, ensures that students master the skills necessary to be successful in Precalculus and can carry them through to the calculus sequence.

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers. My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and Id like to see math come alive for my students.

College Algebra & Trigonometry © 2017Chapter R:Review of PrerequisitesSectionR.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 CalculusChapter 1:Equations and InequalitiesSection1.1Linear 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 CalculusChapter 2:Functions and RelationsSection2.1The 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 CompositionChapter 3:Polynomial and Rational FunctionsSection3.1Quadratic 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 InequalitiesSection3.7VariationChapter 4:Exponential and Logarithmic FunctionsSection4.1Inverse FunctionsSection4.2Exponential FunctionsSection4.3Logarithmic FunctionsProblem Recognition Exercises Analyzing FunctionsSection4.4Properties of LogarithmsSection4.5Exponential and Logarithmic EquationsSection4.6Modeling with Exponential and Logarithmic FunctionsChapter 5:Trigonometric FunctionsSection5.1Angles 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 FunctionsChapter 6:Analytic TrigonometrySection6.1Fundamental Trigonometric IdentitiesSection6.2Sum and Difference FormulasSection6.3Double-Angle and Half-Angle FormulasSection6.4Product-to-Sum and Sum-to-Product FormulasSection6.5Trigonometric EquationsChapter 7:Applications of Trigonometric FunctionsSection7.1Applications 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 FunctionsChapter 8:Trigonometry Applied to Rectangular and Polar Coordinate Systems and VectorsSection8.1Polar CoordinatesSection8.2Graphs of Polar EquationsProblem Recognition Exercises Comparing Equations in Polar and Rectangular FormSection 8.3Complex Numbers in Polar FormSection8.4VectorsSection8.5Dot ProductChapter 9:Systems of Equations and InequalitiesSection9.1Systems 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 ProgrammingChapter 10:Matrices and Determinants and ApplicationsSection10.1Solving 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 EquationsChapter 11:Analytic GeometrySection11.1The 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 EquationsChapter 12:Sequences, Series, Induction, and ProbabilitySection12.1Sequences 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

Erscheinungsdatum	13.01.2016
Verlagsort	New York
Sprache	englisch
Maße	226 x 285 mm
Gewicht	2688 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-07-803562-7 / 0078035627
ISBN-13	978-0-07-803562-3 / 9780078035623
Zustand	Neuware