Algebra and Trigonometry

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PRELIMINARY CONCEPTS. The Real Number System. Integer and Rational Number Exponents. Polynomials. Mid-Chapter P Quiz. Factoring. Rational Expressions. Complex Numbers. Exploring Concepts with Technology. Chapter P Test Prep. Chapter P Review Exercises. Chapter P Test. 1. EQUATIONS AND INEQUALITIES. Linear and Absolute Value Equations. Formulas and Applications. Quadratic Equations. Mid-Chapter 1 Quiz. Other Types of Equations. Inequalities. Variation and Applications. Exploring Concepts with Technology. Chapter 1 Test Prep. Chapter 1 Review Exercises. Chapter 1 Test. Cumulative Review Exercises. 2. FUNCTIONS AND GRAPHS. Two-Dimensional Coordinate System and Graphs. Introduction to Functions. Linear Functions. Mid-Chapter 2 Quiz. Quadratic Functions. Properties of Graphs. Algebra of Functions. Modeling Data using Regression. Exploring Concepts with Technology. Chapter 2 Test Prep. Chapter 2 Review Exercises. Chapter 2 Test. Chapter 2 Cumulative Review Exercises. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Remainder Theorem and Factor Theorem. Polynomial Functions of Higher Degree. Zeros of Polynomial Functions. Mid-Chapter 3 Quiz. Fundamental Theorem of Algebra. Graphs of Rational Functions and Their Applications. Exploring Concepts with Technology. Chapter 3 Test Prep. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Inverse Functions. Exponential Functions and Their Applications. Logarithmic Functions and Their Applications. Properties of Logarithms and Logarithmic Scales. Mid-Chapter 4 Quiz. Exponential and Logarithmic Equations. Exponential Growth and Decay. Modeling Data with Exponential and Logarithmic Functions. Exploring Concepts with Technology. Chapter 4 Test Prep. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. TRIGONOMETRIC FUNCTIONS. Angles and Arcs. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Trigonometric Functions of Real Numbers. Mid-Chapter 5 Quiz. Graphs of the Sine and Cosine Functions. Graphs of the Other Trigonometric Functions. Graphing Techniques. Harmonic Motion--An Application of the Sine and Cosine Functions. Exploring Concepts with Technology. Chapter 5 Test Prep. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Verification of Trigonometric Identities. Sum, Difference, and Cofunction Identities. Double- and Half-Angle Identities. Mid-Chapter 6 Quiz. Identities Involving the Sum of Trigonometric Functions. Inverse Trigonometric Functions. Trigonometric Equations. Exploring Concepts with Technology. Chapter 6 Test Prep. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. APPLICATIONS OF TRIGONOMETRY. Law of Sines. Law of Cosines and Area. Vectors. Mid-Chapter 7 Quiz. Trigonometric Form of Complex Numbers. De Moivre's Theorem. Exploring Concepts with Technology. Chapter 7 Test Prep. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. TOPICS IN ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Rotation of Axes. Mid-Chapter 8 Quiz. Introduction to Polar Coordinates. Polar Equations of the Conics. Parametric Equations of the Conics. Exploring Concepts with Technology. Chapter 8 Test Prep. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Nonlinear Systems of Equations. Mid-Chapter 9 Quiz. Partial Fractions. Inequalities in Two Variables and Systems of Inequalities. Linear Programming. Exploring Concepts with Technology. Chapter 9 Test Prep. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10. MATRICES. Gaussian Elimination Method. Algebra of Matrices. Inverse of a Matrix. Mid-Chapter 10 Quiz. Determinants. Exploring Concepts with Technology. Chapter 10 Test Prep. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. SEQUENCES, SERIES, AND PROBABILITY. Infinite Sequences and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mid-Chapter 11 Quiz. Mathematical Induction. Binomial Theorem. Permutations and Combinations. Introduction to Probability. Exploring Concepts with Technology. Chapter 11 Test Prep. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. Solutions to the Try Exercises. Answers to Selected Exercises. Instructor Additional Answers. Index.

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development. Richard Nation is Professor of Mathematics at Palomar College. He is the co-author of several Aufmann titles.

PRELIMINARY CONCEPTS. The Real Number System. Integer and Rational Number Exponents. Polynomials. Mid-Chapter P Quiz. Factoring. Rational Expressions. Complex Numbers. Exploring Concepts with Technology. Chapter P Test Prep. Chapter P Review Exercises. Chapter P Test. 1. EQUATIONS AND INEQUALITIES. Linear and Absolute Value Equations. Formulas and Applications. Quadratic Equations. Mid-Chapter 1 Quiz. Other Types of Equations. Inequalities. Variation and Applications. Exploring Concepts with Technology. Chapter 1 Test Prep. Chapter 1 Review Exercises. Chapter 1 Test. Cumulative Review Exercises. 2. FUNCTIONS AND GRAPHS. Two-Dimensional Coordinate System and Graphs. Introduction to Functions. Linear Functions. Mid-Chapter 2 Quiz. Quadratic Functions. Properties of Graphs. Algebra of Functions. Modeling Data using Regression. Exploring Concepts with Technology. Chapter 2 Test Prep. Chapter 2 Review Exercises. Chapter 2 Test. Chapter 2 Cumulative Review Exercises. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Remainder Theorem and Factor Theorem. Polynomial Functions of Higher Degree. Zeros of Polynomial Functions. Mid-Chapter 3 Quiz. Fundamental Theorem of Algebra. Graphs of Rational Functions and Their Applications. Exploring Concepts with Technology. Chapter 3 Test Prep. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Inverse Functions. Exponential Functions and Their Applications. Logarithmic Functions and Their Applications. Properties of Logarithms and Logarithmic Scales. Mid-Chapter 4 Quiz. Exponential and Logarithmic Equations. Exponential Growth and Decay. Modeling Data with Exponential and Logarithmic Functions. Exploring Concepts with Technology. Chapter 4 Test Prep. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. TRIGONOMETRIC FUNCTIONS. Angles and Arcs. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Trigonometric Functions of Real Numbers. Mid-Chapter 5 Quiz. Graphs of the Sine and Cosine Functions. Graphs of the Other Trigonometric Functions. Graphing Techniques. Harmonic Motion--An Application of the Sine and Cosine Functions. Exploring Concepts with Technology. Chapter 5 Test Prep. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Verification of Trigonometric Identities. Sum, Difference, and Cofunction Identities. Double- and Half-Angle Identities. Mid-Chapter 6 Quiz. Identities Involving the Sum of Trigonometric Functions. Inverse Trigonometric Functions. Trigonometric Equations. Exploring Concepts with Technology. Chapter 6 Test Prep. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. APPLICATIONS OF TRIGONOMETRY. Law of Sines. Law of Cosines and Area. Vectors. Mid-Chapter 7 Quiz. Trigonometric Form of Complex Numbers. De Moivre's Theorem. Exploring Concepts with Technology. Chapter 7 Test Prep. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. TOPICS IN ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Rotation of Axes. Mid-Chapter 8 Quiz. Introduction to Polar Coordinates. Polar Equations of the Conics. Parametric Equations of the Conics. Exploring Concepts with Technology. Chapter 8 Test Prep. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Nonlinear Systems of Equations. Mid-Chapter 9 Quiz. Partial Fractions. Inequalities in Two Variables and Systems of Inequalities. Linear Programming. Exploring Concepts with Technology. Chapter 9 Test Prep. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10. MATRICES. Gaussian Elimination Method. Algebra of Matrices. Inverse of a Matrix. Mid-Chapter 10 Quiz. Determinants. Exploring Concepts with Technology. Chapter 10 Test Prep. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. SEQUENCES, SERIES, AND PROBABILITY. Infinite Sequences and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mid-Chapter 11 Quiz. Mathematical Induction. Binomial Theorem. Permutations and Combinations. Introduction to Probability. Exploring Concepts with Technology. Chapter 11 Test Prep. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. Solutions to the Try Exercises. Answers to Selected Exercises. Instructor Additional Answers. Index.

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