Precalculus With Limits
ISBN: 9781439049099 | 1439049092
Edition: 2ndFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/1/2010
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With the same design and feature sets as the market leading Precalculus, 8/e, this addition to the Larson Precalculus series provides users with sound, consistently structured explanations of the mathematical concepts. This book contains the features that have made Precalculus a complete solution for users: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. In addition to a brief algebra review and the core precalculus topics, PRECALCULUS WITH LIMITS covers analytic geometry in three dimensions and introduces concepts covered in calculus.
| Functions and their Graphs | |
| Rectangular Coordinates | |
| Graphs of Equations | |
| Linear Equations in Two Variables | |
| Functions | |
| Analyzing Graphs of Functions | |
| A Library of Functions | |
| Transformations of Functions | |
| Combinations of Functions: Composite Functions | |
| Inverse Functions | |
| Mathematical ... MORE | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Polynomial and Rational Functions | |
| Quadratic Functions and Models | |
| Polynomial Functions of Higher Degree | |
| Polynomial and Synthetic Division | |
| Complex Numbers | |
| Zeros of Polynomial Functions | |
| Rational Functions | |
| Nonlinear Inequalities | |
| 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 1-3 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Trigonometry | |
| Radian and Degree Measure | |
| Trigonometric Functions: The Unit Circle | |
| 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 4-6 | |
| 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 7-9 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Topics in Analytic Geometry | |
| Lines | |
| Introduction to Conics: Parabolas | |
| Ellipses | |
| Hyperbolas | |
| Rotation of Conics | |
| Parametric Equations | |
| Polar Coordinates | |
| Graphs of Polar Equations | |
| Polar Equations of Conics | |
| Chapter Summary | |
| Review Exercises. | |
| Chapter Test | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Analytic Geometry in Three Dimensions | |
| The Three-Dimensional Coordinate System | |
| Vectors in Space | |
| The Cross Product of Two Vectors | |
| Lines and Planes in Space | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Limits and an Introduction to Calculus | |
| Introduction to Limits | |
| Techniques for Evaluating Limits | |
| The Tangent Line Problem | |
| Limits at Infinity and Limits of Sequences | |
| The Area Problem | |
| Chapter Summary | |
| Review Exercises | |
| Chapter Test | |
| Cumulative Test: Chapters 10-12 | |
| Proofs in Mathematics | |
| P.S. Problem Solving | |
| Review of Fundamental Concepts of Algebra | |
| Real Numbers and Their Properties | |
| Exponents and Radicals | |
| Polynomials and Factoring | |
| Rational Expressions | |
| Solving Equations | |
| Linear Inequalities in One Variable | |
| Errors and the Algebra of Calculus | |
| Concepts in Statistics (WEB) | |
| Representing Data | |
| Measures of Central Tendency and Dispersion | |
| Least Squares Regression | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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