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Full Description
Precalculus, Fifth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Fifth Edition, the authors recognize that students are learning in new ways, and that the classroom is evolving. The Lial team is now offering a new suite of resources to support today's instructors and students. New co-author Callie Daniels has experience in all classroom types including traditional, hybrid and online courses, which has driven the new MyMathLab features. For example, MyNotes provide structure for student note-taking, and Interactive Chapter Summaries allow students to quiz themselves in interactive examples on key vocabulary, symbols and concepts. Daniels' experience, coupled with the long-time successful approach of the Lial series, has helped to more tightly integrate the text with online learning than ever before.
Contents
R. Review of Basic ConceptsR.1 SetsR.2 Real Numbers and Their PropertiesR.3 PolynomialsR.4 Factoring PolynomialsR.5 Rational ExpressionsR.6 Rational ExponentsR.7 Radical Expressions1. Equations and Inequalities1.1 Linear Equations1.2 Applications and Modeling with Linear Equations1.3 Complex Numbers1.4 Quadratic Equations1.5 Applications and Modeling with Quadratic Equations1.6 Other Types of Equations and Applications1.7 Inequalities1.8 Absolute Value Equations and Inequalities2. Graphs and Functions2.1 Rectangular Coordinates and Graphs2.2 Circles2.3 Functions2.4 Linear Functions2.5 Equations of Lines and Linear Models2.6 Graphs of Basic Functions2.7 Graphing Techniques2.8 Function Operations and Composition3. Polynomial and Rational Functions3.1 Quadratic Functions and Models3.2 Synthetic Division3.3 Zeros of Polynomial Functions3.4 Polynomial Functions: Graphs, Applications, and Models3.5 Rational Functions: Graphs, Applications, and Models3.6 Variation4. Inverse, Exponential, and Logarithmic Functions4.1 Inverse Functions4.2 Exponential Functions4.3 Logarithmic Functions4.4 Evaluating Logarithms and the Change-of-Base Theorem4.5 Exponential and Logarithmic Equations4.6 Applications and Models of Exponential Growth and Decay5. Trigonometric Functions5.1 Angles5.2 Trigonometric Functions5.3 Evaluating Trigonometric Functions5.4 Solving Right Triangles6. The Circular Functions and Their Graphs6.1 Radian Measure6.2 The Unit Circle and Circular Functions6.3 Graphs of the Sine and Cosine Functions6.4 Translations of the Graphs of the Sine and Cosine Functions6.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant6.6 Harmonic Motion7. Trigonometric Identities and Equations7.1 Fundamental Identities7.2 Verifying Trigonometric Identities7.3 Sum and Difference Identities7.4 Double-Angle and Half-Angle Identities7.5 Inverse Circular Functions7.6 Trigonometric Equations7.7 Equations Involving Inverse Trigonometric Functions8. Applications of Trigonometry8.1 The Law of Sines8.2 The Law of Cosines8.3 Vectors, Operation, and the Dot Product8.4 Applications of Vectors8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients8.6 De Moivre's Theorem; Powers and Roots of Complex Numbers8.7 Polar Equations and Graphs8.8 Parametic Equations, Graphs, and Applications9. Systems and Matrices9.1 Systems of Linear Equations9.2 Matrix Solution of Linear Systems9.3 Determinant Solution of Linear Systems9.4 Partial Fractions9.5 Nonlinear Systems of Equations9.6 Systems of Inequalities and Linear Programming9.7 Properties of Matrices9.8 Matrix Inverses10. Analytic Geometry10.1 Parabolas10.2 Ellipses10.3 Hyperbolas10.4 Summary of the Conic Sections11. Further Topics in Algebra11.1 Sequences and Series11.2 Arithmetic Sequences and Series11.3 Geometric Sequences and Series11.4 The Binomial Theorem11.5 Mathematical Induction11.6 Counting Theory11.7 Basics of ProbabilityAppendicesAppendix A. Polar Form of Conic SectionsAppendix B. Rotation of AxesAppendix C. Geometry FormulasGlossarySolutions to Selected ExercisesAnswers
