Friday, April 5, 2019

Algebra and Trigonometry Enhanced With Graphing Utilities, 4th Edition

Algebra and Trigonometry Enhanced With Graphing Utilities, 4th Edition

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Category : Higher Education

Table of Contents

Chapter R            Review

R.1 Real Numbers

R.2 Algebra Review

R.3 Geometry Review

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

 

Chapter 1            Graphs, Equations, and Inequalities

1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations

1.3 Solving Quadratic Equations

1.4 Complex Numbers; Quadratic Equations in the Complex Number System

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

1.7 Solving Inequalities

1.8 Lines

1.9 Circles

Chapter Review

Chapter Test

Chapter Project

 

Chapter 2            Functions and Their Graphs

2.1 Intercepts and Symmetry; Graphing Key Equations

2.2 Functions

2.3 The Graph of a Function

2.4 Properties of Functions

2.5 Linear Functions and Models

2.6 Library of Functions; Piecewise-Defined Functions

2.7 Graphing Techniques: Transformations

2.8 Mathematical Models: Constructing Functions

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 3            Polynomial and Rational Functions

3.1 Quadratic Functions and Models

3.2 Polynomial Functions and Models

3.3 Properties of Rational Functions

3.4 The Graph of a Rational Function; Inverse and Joint Variation

3.5 Polynomial and Rational Inequalities

3.6 The Real Zeros of a Polynomial Function

3.7 Complex Zeros: Fundamental Theorem of Algebra

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 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 Models from Data

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 5            Systems of Equations and Inequalities

5.1 Systems of Linear Equations: Substitution and Elimination

5.2 Systems of Linear Equations: Matrices

5.3 Systems of Linear Equations: Determinants

5.4 Matrix Algebra

5.5 Partial Fraction Decomposition

5.6 Systems of Linear Inequalities

5.7 Linear Programming

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 6            Trigonometric Functions

6.1 Angles and Their Measure

6.2 Right Triangle Trigonometry

6.3 Computing the Values of Trigonometric Functions of Acute Angles

6.4 Trigonometric Functions of General Angles

6.5 Properties of the Trigonometric Functions; The Unit Circle Approach

6.6 Graphs of the Sine and Cosine Functions

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

6.8 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 7            Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions

7.2 The Inverse Trigonometric Functions (continued)

7.3 Trigonometric Identities

7.4 Sum and Difference Formulas

7.5 Double-Angle and Half-Angle Formulas

7.6 Product-to-Sum and Sum-to-Product Formulas

7.7 Trigonometric Equations I

7.8 Trigonometric Equations II

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 8            Applications of Trigonometric Functions

8.1 Applications Involving Right Triangles

8.2 Law of Sines

8.3 Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 9            Polar Coordinates; Vectors

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; DeMoivre’s Theorem

9.4 Vectors

9.5 The Dot Product

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 10            Analytic Geometry

10.1 Conics

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations

10.8 Systems of Nonlinear Equations and Inequalities

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Chapter 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 Project

Cumulative Review

 

Chapter 12            Counting and Probability

12.1 Sets and Counting

12.2 Permutations and Combinations

12.3 Probability

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

 

Answers

Index

Instalant Download Algebra and Trigonometry Enhanced With Graphing Utilities, 4th Edition by Michael Sullivan Michael Sullivan,III ZIP OR PDF

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