# Precalculus: Pearson New International Edition

## 5e édition

#### Spécifications

Éditeur
Pearson Education
Édition
5
Auteur
Margaret Lial, John Hornsby, David Schneider, Callie Daniels,
Langue
anglais
MAT000000 MATHEMATICS > MAT005000 MATHEMATICS / Calculus > MAT034000 MATHEMATICS / Mathematical Analysis
BIC subject category (UK)
PB Mathematics > PBK Calculus & mathematical analysis
Code publique Onix
05 Enseignement supérieur
Date de première publication du titre
28 octobre 2013
Subject Scheme Identifier Code
Classification thématique Thema: Mathématiques
Classification thématique Thema: Calcul
Classification thématique Thema: Calcul et analyse mathématique

#### VitalSource eBook

Date de publication
28 octobre 2013
ISBN-13
9781292054193
Ampleur
Nombre de pages de contenu principal : 1112
Code interne
1292054190
Protection technique e-livre
DRM

#### Sommaire

R. Review of Basic Concepts

R.1 Sets

R.2 Real Numbers and Their Properties

R.3 Polynomials

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Rational Exponents

1. Equations and Inequalities

1.1 Linear Equations

1.2 Applications and Modeling with Linear Equations

1.3 Complex Numbers

1.5 Applications and Modeling with Quadratic Equations

1.6 Other Types of Equations and Applications

1.7 Inequalities

1.8 Absolute Value Equations and Inequalities

2. Graphs and Functions

2.1 Rectangular Coordinates and Graphs

2.2 Circles

2.3 Functions

2.4 Linear Functions

2.5 Equations of Lines and Linear Models

2.6 Graphs of Basic Functions

2.7 Graphing Techniques

2.8 Function Operations and Composition

3. Polynomial and Rational Functions

3.1 Quadratic Functions and Models

3.2 Synthetic Division

3.3 Zeros of Polynomial Functions

3.4 Polynomial Functions: Graphs, Applications, and Models

3.5 Rational Functions: Graphs, Applications, and Models

3.6 Variation

4. Inverse, Exponential, and Logarithmic Functions

4.1 Inverse Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem

4.5 Exponential and Logarithmic Equations

4.6 Applications and Models of Exponential Growth and Decay

5. Trigonometric Functions

5.1 Angles

5.2 Trigonometric Functions

5.3 Evaluating Trigonometric Functions

5.4 Solving Right Triangles

6. The Circular Functions and Their Graphs

6.2 The Unit Circle and Circular Functions

6.3 Graphs of the Sine and Cosine Functions

6.4 Translations of the Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant

6.6 Harmonic Motion

7. Trigonometric Identities and Equations

7.1 Fundamental Identities

7.2 Verifying Trigonometric Identities

7.3 Sum and Difference Identities

7.4 Double-Angle and Half-Angle Identities

7.5 Inverse Circular Functions

7.6 Trigonometric Equations

7.7 Equations Involving Inverse Trigonometric Functions

8. Applications of Trigonometry

8.1 The Law of Sines

8.2 The Law of Cosines

8.3 Vectors, Operation, and the Dot Product

8.4 Applications of Vectors

8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients

8.6 De Moivre's Theorem; Powers and Roots of Complex Numbers

8.7 Polar Equations and Graphs

8.8 Parametic Equations, Graphs, and Applications

9. Systems and Matrices

9.1 Systems of Linear Equations

9.2 Matrix Solution of Linear Systems

9.3 Determinant Solution of Linear Systems

9.4 Partial Fractions

9.5 Nonlinear Systems of Equations

9.6 Systems of Inequalities and Linear Programming

9.7 Properties of Matrices

9.8 Matrix Inverses

10. Analytic Geometry

10.1 Parabolas

10.2 Ellipses

10.3 Hyperbolas

10.4 Summary of the Conic Sections

11. Further Topics in Algebra

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

11.5 Mathematical Induction

11.6 Counting Theory

11.7 Basics of Probability

Appendices

Appendix A. Polar Form of Conic Sections

Appendix B. Rotation of Axes

Appendix C. Geometry Formulas

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications

Index

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