Description: Note: Each chapter contains a Chapter Summary, Review Exercises, and a Chapter Test.PrerequisitesP.1 Graphical Representation of DataP.2 Graphs of EquationsP.3 Lines in the PlaneP.4 Solving Equations Algebraically and GraphicallyP.5 Solving Inequalities Algebraically and GraphicallyChapter Project: Modeling the Volume of a BoxLibrary of Functions1. Functions and Their Graphs1.1 Functions1.2 Graphs of Functions1.3 Shifting, Reflecting, and Stretching Graphs1.4 Combinations of Functions1.5 Inverse FunctionsChapter Project: Modeling the Area of a Plot2. Polynomial and Rational Functions2.1 Quadratic Functions2.2 Polynomial Functions of a Higher Degree2.3 Real Zeros of Polynomial Functions2.4 Complex Numbers2.5 The Fundamental Theorem of Algebra2.6 Rational Functions and Asymptotes2.7 Graphs of Rational FunctionsChapter Project: Finding Points of Intersection3. Exponential and Logarithmic Functions3.1 Exponential Functions and Their Graphs3.2 Logarithmic Functions and Their Graphs3.3 Properties of Logarithms3.4 Solving Exponential and Logarithmic Equations3.5 Exponential and Logarithmic ModelsChapter Project: A Graphical Approach to Compound InterestCumulative Test for Chapters P-3.4. Trigonometric Functions4.1 Radian and Degree Measure4.2 Trigonometric Functions: The Unit Circle4.3 Right Triangle Trigonometry4.4 Trigonometric Functions of Any Angle4.5 Graphs of Sine and Cosine Functions4.6 Graphs of Other Trigonometric Functions4.7 Inverse Trigonometric Functions4.8 Applications and ModelsChapter Project: Fitting a Model to Data5. Analytic Trigonometry5.1 Using Fundamental Identities5.2 Verifying Trigonometric Identities5.3 Solving Trigonometric Equations5.4 Sum and Difference Formulas5.5 Multiple-Angle and Product-Sum FormulasChapter Project: Projectile Motion6. Additional Topics in Trigonometry6.1 Law of Sines6.2 Law of Cosines6.3 Vectors in the Plane6.4 Vectors and Dot Products6.5 Trigonometric Form of a Complex NumberChapter Project: Adding Vectors GraphicallyCumulative Test for Chapters 4-6.7. Systems of Equations and Inequalities7.1 Solving Systems of Equations7.2 Systems of Linear Equations in Two Variables7.3 Multivariable Linear Systems7.4 Systems of Inequalities7.5 Linear ProgrammingChapter Project: Fitting Models to Data8. Matrices and Determinants8.1 Matrices and Systems of Equations8.2 Operations with Matrices8.3 The Inverse of a Square Matrix8.4 The Determinant of a Square Matrix8.5 Applications of Matrices and DeterminantsChapter Project: Solving Systems of Equations9. Sequences, Series, and Probability9.1 Sequences and Series9.2 Arithmetic Sequences and Partial Sums9.3 Geometric Sequences and Series9.4 Mathematical Induction9.5 The Binomial Theorem9.6 Counting Principles9.7 ProbabilityChapter Project: Fitting Models to Data10. Topics in Analytic Geometry10.1 Introduction to Conics: Parabolas10.2 Ellipses10.3 Hyperbolas10.4 Rotation and Systems of Quadratic Equations10.5 Parametric Equations10.6 Polar Coordinates10.7 Graphs of Polar Equations10.8 Polar Equations of ConicsChapter Project: Polar, Rectangular, and Parametric FormsCumulative Test for Chapter 7-10.11. Analytic Geometry in Three Dimensions11.1 The Three-Dimensional Coordinate System11.2 Vectors in Space11.3 The Cross Product of Two Vectors11.4 Lines and Planes in SpaceChapter Project: Distance Between a Point and a Line12. Limits and an Introduction to Calculus12.1 Introduction to Limits12.2 Techniques for Evaluation Limits12.3 The Tangent Line Problem12.4 Limits at Infinity and Limits of Sequences12.5 The Area ProblemChapter Project: Tangent Lines to Sine CurvesAppendices: A. Proofs of Selected Theorems. B. Concepts in Statistics. B.1. Representing Data. B.2. Measures of Central Tendency and Dispersion. B.3. Least Squares Regression. C. Solving Linear Equations and Inequalities

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