Algebra and Trigonometry
ISBN: 9781439048474 | 1439048479
Edition: 8thFormat: Hardcover
Publisher: Brooks Cole
Pub. Date: 1/28/2010
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This market-leading book continues to provide users with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Eighth Edition retains the features that have made Algebra and Trigonometry a complete solution for users: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.
| Prerequisites | |
| Review of Real Numbers and Their Properties | |
| Exponents and Radicals | |
| Polynomials and Special Products | |
| Factoring Polynomials | |
| Rational Expressions | |
| The Rectangular Coordinate System and Graphs | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. ... MORE | |
| Equations, Inequalities, and Mathematical Modeling | |
| Graphs of Equations | |
| Linear Equations in One Variable | |
| Modeling with Linear Equations | |
| Quadratic Equations and Applications | |
| Complex Numbers | |
| Other Types of Equations | |
| Linear Inequalities in One Variable | |
| Other Types of Inequalities | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Functions and Their Graphs | |
| Linear Equations in Two Variables | |
| Functions | |
| Analyzing Graphs of Functions | |
| A Library of Functions | |
| Shifting, Reflecting, and Stretching Graphs | |
| Combinations of Functions | |
| Inverse Functions | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Cumulative Test: Chapters P-2 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Polynomial Functions | |
| Quadratic Functions and Models | |
| Polynomial Functions of Higher Degree | |
| Polynomial and Synthetic Division | |
| Zeros of Polynomial Functions | |
| Mathematical Modeling | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Rational Functions and Conics | |
| Rational Functions and Asymptotes | |
| Graphs of Rational Functions | |
| Conics | |
| Translations of Conics | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Exponential and Logarithmic Functions | |
| Exponential Functions and Their Graphs | |
| Logarithmic Functions and Their Graphs | |
| Properties of Logarithms | |
| Exponential and Logarithmic Equations | |
| Exponential and Logarithmic Models | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Cumulative Test: Chapters 3-5 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Trigonometery | |
| Angles and Their Measure | |
| Right Triangle Trigonometry | |
| Trigonometric Functions of Any Angle | |
| Graphs of Sine and Cosine Functions | |
| Graphs of Other Trigonometric Functions | |
| Inverse Trigonometric Functions | |
| Applications and Models | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Analytic Trigonometry | |
| Using Fundamental Identities | |
| Verifying Trigonometric Identities | |
| Solving Trigonometric Equations | |
| Sum and Difference Formulas | |
| Multiple-Angle and Product-to-Sum Formulas | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Additional Topics in Trigonometry | |
| Law of Sines | |
| Law of Cosines | |
| Vectors in the Plane | |
| Vectors and Dot Products | |
| Trigonometric Form of a Complex Number | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Cumulative Test: Chapters 6-8 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Systems of Equations and Inequalities | |
| Linear and Nonlinear Systems of Equations | |
| Two-Variable Linear Systems | |
| Multivariable Linear Systems | |
| Partial Fractions | |
| Systems of Inequalities | |
| Linear Programming | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Matrices and Determinants | |
| Matrices and Systems of Equations | |
| Operations with Matrices | |
| The Inverse of a Square Matrix | |
| The Determinant of a Square Matrix | |
| Applications of Matrices and Determinants | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Proofs in Mathematics | |
| P.S. Problem Solving | |
| Sequences, Series, and Probability | |
| Sequences and Series | |
| Arithmetic Sequences and Partial Sums | |
| Geometric Sequences and Series | |
| Mathematical Induction | |
| The Binomial Theorem | |
| Counting Principles | |
| Probability | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test Cumulative Test: Chapters 9-11 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Errors and the Algebra of Calculus | |
| Concepts in Statistics (WEB) | |
| Representing Data | |
| Measures of Central Tendency and Dispersion | |
| Least Squares Regression | |
| Alternative/Expanded Version of Chapter P (WEB) | |
| Operations with Real Numbers | |
| Properties of Real Numbers | |
| Algebraic Expressions | |
| Operations with Polynomials | |
| Factoring Polynomials | |
| Factoring Trinomials | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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