Precalculus: Pearson New International Edition

Concepts Through Functions, A Unit Circle Approach to Trigonometry
2e édition

VitalSource eBook (VitalBook) - En anglais 77,00 € DRM

Spécifications


Éditeur
Pearson Education
Édition
2
Auteur
Michael Sullivan, III Sullivan,
Langue
anglais
BISAC Subject Heading
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
01 novembre 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
01 novembre 2013
ISBN-13
9781292036991
Ampleur
Nombre de pages de contenu principal : 1006
Code interne
1292036990
Protection technique e-livre
DRM

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Sommaire


1. Functions and Their Graphs

1.1 Functions

1.2 The Graph of a Function

1.3 Properties of Functions

1.4 Library of Functions; Piecewise-defined Functions

1.5 Graphing Techniques: Transformations

1.6 Mathematical Models: Constructing Functions

1.7 Building Mathematical Models Using Variation

   Chapter Review

   Chapter Test

   Chapter Projects

 

2. Linear and Quadratic Functions

2.1 Properties of Linear Functions and Linear Models

2.2 Building Linear Models from Data

2.3 Quadratic Functions and Their Zeros

2.4 Properties of Quadratic Functions

2.5 Inequalities Involving Quadratic Functions

2.6 Building Quadratic Models from Verbal Descriptions and from Data

2.7 Complex Zeros of a Quadratic Function

2.8 Equations and Inequalities Involving the Absolute Value Function

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

3. Polynomial and Rational Functions

3.1 Polynomial Functions and Models

3.2 Properties of Rational Functions

3.3 The Graph of a Rational Function

3.4 Polynomial and Rational Inequalities

3.5 The Real Zeros of a Polynomial Function

3.6 Complex Zeros; Fundamental Theorem of Algebra

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

4. Exponential and Logarithmic Functions

4.1 Composite Functions

4.2 One-to-One Functions; Inverse Functions

4.3 Exponential Functions

4.4 Logarithmic Functions

4.5 Properties of Logarithms

4.6 Logarithmic and Exponential Equations

4.7 Compound Interest

4.8 Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay

4.9 Building Exponential, Logarithmic, and Logistic Functions from Data

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

5. Trigonometric Functions

5.1 Angles and Their Measure

5.2 Trigonometric Functions: Unit Circle Approach

5.3 Properties of the Trigonometric Functions

5.4 Graphs of the Sine and Cosine Functions

5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

5.6 Phase Shift; Sinusoidal Curve Fitting

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

6. Analytic Trigonometry

6.1 The Inverse Sine, Cosine, and Tangent Functions

6.2 The Inverse Trigonometric Functions (Continued)

6.3 Trigonometric Identities

6.4 Sum and Difference Formulas

6.5 Double-angle and Half-angle Formulas

6.6 Product-to-Sum and Sum-to-Product Formulas

6.7 Trigonometric Equations

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

7. Applications of Trigonometric Functions

7.1 Applications Involving Right Triangles

7.2 The Law of Sines

7.3 The Law of Cosines

7.4 Area of a Triangle

7.5 Simple Harmonic Motion; Damped Motion; Combining Waves

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

8. Polar Coordinates; Vectors

8.1 Polar Coordinates

8.2 Polar Equations and Graphs

8.3 The Complex Plane; DeMoivre's Theorem

8.4 Vectors

8.5 The Dot Product

8.6 Vectors in Space

8.7 The Cross Product

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

9. Analytic Geometry

9.1 Conics

9.2 The Parabola

9.3 The Ellipse

9.4 The Hyperbola

9.5 Rotation of Axes; General Form of a Conic

9.6 Polar Equations of Conics

9.7 Plane Curves and Parametric Equations

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

10. Systems of Equations and Inequalities

10.1 Systems of Linear Equations: Substitution and Elimination

10.2 Systems of Linear Equations: Matrices

10.3 Systems of Linear Equations: Determinants

10.4 Matrix Algebra

10.5 Partial Fraction Decomposition

10.6 Systems of Nonlinear Equations

10.7 Systems of Inequalities

10.8 Linear Programming

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

11. Sequences; Induction; the Binomial Theorem

11.1 Sequences

11.2 Arithmetic Sequences

11.3 Geometric Sequences; Geometric Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

12. Counting and Probability

12.1 Counting

12.2 Permutations and Combinations

12.3 Probability

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

13. A Preview of Calculus: The Limit; Derivative, and Integral of a Function

13.1 Finding Limits Using Tables and Graphs

13.2 Algebra Techniques for Finding Limits

13.3 One-sided Limits; Continuous Functions

13.4 The Tangent Problem; The Derivative

13.5 The Area Problem; The Integral

   Chapter Review

   Chapter Test

   Chapter Projects

   Cumulative Review

 

Answers

Index


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