College algebra and trigonometry / Margaret L. Lial ... [et al.].

Contributor(s): Lial, Margaret L | Bornsby, John | Schneider, David I | Daniels, Callie JMaterial type: TextTextPublication details: Boston : Pearson Education, Inc., 2013cEdition: 5th edDescription: various pagings : ill. ; 29 cmISBN: 9780321824660 (pbk); 0321824660 (pbk)Subject(s): Algebra -- Textbooks | Trigonometry -- TextbooksDDC classification: 512.13 LOC classification: QA154.3 | .L54 2013
Contents:
<P><B>R. Review of Basic Concepts</B></P><P>R.1 Sets</P><P>R.2 Real Numbers and Their Properties</P><P>R.3 Polynomials</P><P>R.4 Factoring Polynomials</P><P>R.5 Rational Expressions</P><P>R.6 Rational Exponents</P><P>R.7 Radical Expressions</P><P> </P><P><B>1. Equations and Inequalities</B></P><P>1.1 Linear Equations</P><P>1.2 Applications and Modeling with Linear Equations</P><P>1.3 Complex Numbers</P><P>1.4 Quadratic Equations</P><P>1.5 Applications and Modeling with Quadratic Equations</P><P>1.6 Other Types of Equations and Applications</P><P>1.7 Inequalities</P><P>1.8 Absolute Value Equations and Inequalities</P><P> </P><P><B>2. Graphs and Functions</B></P><P>2.1 Rectangular Coordinates and Graphs</P><P>2.2 Circles</P><P>2.3 Functions</P><P>2.4 Linear Functions</P><P>2.5 Equations of Lines and Linear Models</P><P>2.6 Graphs of Basic Functions</P><P>2.7 Graphing Techniques</P><P>2.8 Function Operations and Composition</P><P> </P><P><B>3. Polynomial and Rational Functions</B></P><P>3.1 Quadratic Functions and Models</P><P>3.2 Synthetic Division</P><P>3.3 Zeros of Polynomial Functions</P><P>3.4 Polynomial Functions: Graphs, Applications, and Models</P><P>3.5 Rational Functions: Graphs, Applications, and Models</P><P>3.6 Variation</P><P> </P><P><B>4. Inverse, Exponential, and Logarithmic Functions</B></P><P>4.1 Inverse Functions</P><P>4.2 Exponential Functions</P><P>4.3 Logarithmic Functions</P><P>4.4 Evaluating Logarithms and the Change-of-Base Theorem</P><P>4.5 Exponential and Logarithmic Equations</P><P>4.6 Applications and Models of Exponential Growth and Decay</P><P> </P><P><B>5. Trigonometric Functions</B></P><P>5.1 Angles</P><P>5.2 Trigonometric Functions</P><P>5.3 Evaluating Trigonometric Functions</P><P>5.4 Solving Right Triangles</P><P> </P><P><B>6. The Circular Functions and Their Graphs</B></P><P>6.1 Radian Measure</P><P>6.2 The Unit Circle and Circular Functions</P><P>6.3 Graphs of the Sine and Cosine Functions</P><P>6.4 Translations of the Graphs of the Sine and Cosine Functions</P><P>6.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant</P><P>6.6 Harmonic Motion</P><P> </P><P><B>7. Trigonometric Identities and Equations</B></P><P>7.1 Fundamental Identities</P><P>7.2 Verifying Trigonometric Identities</P><P>7.3 Sum and Difference Identities</P><P>7.4 Double-Angle and Half-Angle Identities</P><P>7.5 Inverse Circular Functions</P><P>7.6 Trigonometric Equations</P><P>7.7 Equations Involving Inverse Trigonometric Functions</P><P> </P><P><B>8. Applications of Trigonometry</B></P><P>8.1 The Law of Sines</P><P>8.2 The Law of Cosines</P><P>8.3 Vectors, Operation, and the Dot Product</P><P>8.4 Applications of Vectors</P><P>8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients</P><P>8.6 De Moivre's Theorem; Powers and Roots of Complex Numbers</P><P>8.7 Polar Equations and Graphs</P><P>8.8 Parametic Equations, Graphs, and Applications</P><P> </P><P><B>9. Systems and Matrices</B></P><P>9.1 Systems of Linear Equations</P><P>9.2 Matrix Solution of Linear Systems</P><P>9.3 Determinant Solution of Linear Systems</P><P>9.4 Partial Fractions</P><P>9.5 Nonlinear Systems of Equations</P><P>9.6 Systems of Inequalities and Linear Programming</P><P>9.7 Properties of Matrices</P><P>9.8 Matrix Inverses</P><P> </P><P><B>10. Analytic Geometry</B></P><P>10.1 Parabolas</P><P>10.2 Ellipses</P><P>10.3 Hyperbolas</P><P>10.4 Summary of the Conic Sections</P><P> </P><P><B>11. Further Topics in Algebra</B></P><P>11.1 Sequences and Series</P><P>11.2 Arithmetic Sequences and Series</P><P>11.3 Geometric Sequences and Series</P><P>11.4 The Binomial Theorem</P><P>11.5 Mathematical Induction</P><P>11.6 Counting Theory</P><P>11.7 Basics of Probability</P><P> </P><P>Appendices</P><P>Appendix A. Polar Form of Conic Sections</P><P>Appendix B. Rotation of Axes</P><P>Appendix C. Geometry Formulas</P><P> </P><P>Glossary</P><P>Solutions to Selected Exercises</P><P>Answers to Selected Exercises</P><P>Index of Applications</P><P>Index</P>Photo Credits
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Includes index.

<P><B>R. Review of Basic Concepts</B></P><P>R.1 Sets</P><P>R.2 Real Numbers and Their Properties</P><P>R.3 Polynomials</P><P>R.4 Factoring Polynomials</P><P>R.5 Rational Expressions</P><P>R.6 Rational Exponents</P><P>R.7 Radical Expressions</P><P> </P><P><B>1. Equations and Inequalities</B></P><P>1.1 Linear Equations</P><P>1.2 Applications and Modeling with Linear Equations</P><P>1.3 Complex Numbers</P><P>1.4 Quadratic Equations</P><P>1.5 Applications and Modeling with Quadratic Equations</P><P>1.6 Other Types of Equations and Applications</P><P>1.7 Inequalities</P><P>1.8 Absolute Value Equations and Inequalities</P><P> </P><P><B>2. Graphs and Functions</B></P><P>2.1 Rectangular Coordinates and Graphs</P><P>2.2 Circles</P><P>2.3 Functions</P><P>2.4 Linear Functions</P><P>2.5 Equations of Lines and Linear Models</P><P>2.6 Graphs of Basic Functions</P><P>2.7 Graphing Techniques</P><P>2.8 Function Operations and Composition</P><P> </P><P><B>3. Polynomial and Rational Functions</B></P><P>3.1 Quadratic Functions and Models</P><P>3.2 Synthetic Division</P><P>3.3 Zeros of Polynomial Functions</P><P>3.4 Polynomial Functions: Graphs, Applications, and Models</P><P>3.5 Rational Functions: Graphs, Applications, and Models</P><P>3.6 Variation</P><P> </P><P><B>4. Inverse, Exponential, and Logarithmic Functions</B></P><P>4.1 Inverse Functions</P><P>4.2 Exponential Functions</P><P>4.3 Logarithmic Functions</P><P>4.4 Evaluating Logarithms and the Change-of-Base Theorem</P><P>4.5 Exponential and Logarithmic Equations</P><P>4.6 Applications and Models of Exponential Growth and Decay</P><P> </P><P><B>5. Trigonometric Functions</B></P><P>5.1 Angles</P><P>5.2 Trigonometric Functions</P><P>5.3 Evaluating Trigonometric Functions</P><P>5.4 Solving Right Triangles</P><P> </P><P><B>6. The Circular Functions and Their Graphs</B></P><P>6.1 Radian Measure</P><P>6.2 The Unit Circle and Circular Functions</P><P>6.3 Graphs of the Sine and Cosine Functions</P><P>6.4 Translations of the Graphs of the Sine and Cosine Functions</P><P>6.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant</P><P>6.6 Harmonic Motion</P><P> </P><P><B>7. Trigonometric Identities and Equations</B></P><P>7.1 Fundamental Identities</P><P>7.2 Verifying Trigonometric Identities</P><P>7.3 Sum and Difference Identities</P><P>7.4 Double-Angle and Half-Angle Identities</P><P>7.5 Inverse Circular Functions</P><P>7.6 Trigonometric Equations</P><P>7.7 Equations Involving Inverse Trigonometric Functions</P><P> </P><P><B>8. Applications of Trigonometry</B></P><P>8.1 The Law of Sines</P><P>8.2 The Law of Cosines</P><P>8.3 Vectors, Operation, and the Dot Product</P><P>8.4 Applications of Vectors</P><P>8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients</P><P>8.6 De Moivre's Theorem; Powers and Roots of Complex Numbers</P><P>8.7 Polar Equations and Graphs</P><P>8.8 Parametic Equations, Graphs, and Applications</P><P> </P><P><B>9. Systems and Matrices</B></P><P>9.1 Systems of Linear Equations</P><P>9.2 Matrix Solution of Linear Systems</P><P>9.3 Determinant Solution of Linear Systems</P><P>9.4 Partial Fractions</P><P>9.5 Nonlinear Systems of Equations</P><P>9.6 Systems of Inequalities and Linear Programming</P><P>9.7 Properties of Matrices</P><P>9.8 Matrix Inverses</P><P> </P><P><B>10. Analytic Geometry</B></P><P>10.1 Parabolas</P><P>10.2 Ellipses</P><P>10.3 Hyperbolas</P><P>10.4 Summary of the Conic Sections</P><P> </P><P><B>11. Further Topics in Algebra</B></P><P>11.1 Sequences and Series</P><P>11.2 Arithmetic Sequences and Series</P><P>11.3 Geometric Sequences and Series</P><P>11.4 The Binomial Theorem</P><P>11.5 Mathematical Induction</P><P>11.6 Counting Theory</P><P>11.7 Basics of Probability</P><P> </P><P>Appendices</P><P>Appendix A. Polar Form of Conic Sections</P><P>Appendix B. Rotation of Axes</P><P>Appendix C. Geometry Formulas</P><P> </P><P>Glossary</P><P>Solutions to Selected Exercises</P><P>Answers to Selected Exercises</P><P>Index of Applications</P><P>Index</P>Photo Credits

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