Precalculus: Functions and Graphs
Pearson New International Edition
4th Edition
Published on 3. October 2013
888 pages
978-1-292-05274-8 (ISBN)
Description
DugopolskisPrecalculus: Functions and Graphs, Fourth Edition gives students the essential strategies they need to make the transition to calculus. The authors emphasis on problem solving and critical thinking is enhanced by the addition of 900 exercises including new vocabulary and cumulative review problems. Students will find carefully placed learning aids and review tools to help them learn the math without getting distracted. Along the way, students see how the algebra connects to their future calculus courses, with tools like Foreshadowing Calculus and Concepts of Calculus.
More details
Edition
4th edition
Language
English
Place of publication
Harlow
United Kingdom
Target group
College/higher education
ISBN-13
978-1-292-05274-8 (9781292052748)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
11/2013
4th Edition
Pearson Education Limited
€95.51
Shipment within 10-20 days
Content
P. Prerequisites
P.1 Real numbers and Their Properties
P.2 Integral Exponents and Scientific Notation
P.3 Rational Exponents and Radicals
P.4 Polynomials
P.5 Factoring Polynomials
P.6 Rational Expressions
P.7 Complex Numbers
Chapter P Highlights
Chapter P Review Exercises
Chapter P Test
1. Equations, Inequalities, and Modeling
1.1 Equations in One Variable
1.2 Constructing Models to Solve Problems
1.3 Equations and Graphs in Two Variables
1.4 Linear Equations in Two Variables
1.5 Scatter Diagrams and Curve Fitting
1.6 Complex Numbers
1.7 Quadratic Equations
1.8 Linear and Absolute Value Inequalities
Chapter 1 Highlights
Chapter 1 Review Exercises
Chapter 1 Test
Concepts of Calculus: Limits
2. Functions and Graphs
2.1 Functions
2.2 Graphs of Relations and Functions
2.3 Families of Functions, Transformations, and Symmetry
2.4 Operations with Functions
2.5 Inverse Functions
2.6 Constructing Functions with Variation
Chapter 2 Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change
3. Polynomial and Rational Functions
3.1 Quadratic Functions and Inequalities
3.2 Zeroes of Polynomial Functions
3.3 The Theory of Equations
3.4 Miscellaneous Equations
3.5 Graphs of Polynomial Functions
3.6 Rational Functions and Inequalities
Chapter 3 Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change of the Power Functions
4. Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Applications
4.2 Logarithmic Functions and Their Applications
4.3 Rules of Logarithms
4.4 More Equations and Applications
Chapter 4 Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying it all Together
Concepts of Calculus: The Instantaneous Rate of Change off(x)= ex
5. The Trigonometric Functions
5.1 Angles and Their Measurements
5.2 The Sine and Cosine Functions
5.3 The Graphs of the Sine and Cosine Functions
5.4 The Other Trigonometric Functions and Their Graphs
5.5 The Inverse Trigonometric Functions
5.6 Right Triangle Trigonometry
Chapter 5 Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying it all Together
Concepts of Calculus: Evaluating Transcendental Functions
6. Trigonometric Identities and Conditional Equations
6.1 Basic Identities
6.2 Verifying Identities
6.3 Sum and Difference Identities
6.4 Double-Angle and Half-Angle Identities
6.5 Product and Sum Identities
6.6 Conditional Trigonometric Equations
Chapter 6 Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying it all Together
Concepts of Calculus: Area of a Circle and p
7. Applications of Trigonometry
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Vectors
7.4 Trigonometric Form of Complex Numbers
7.5 Powers and Roots of Complex and Numbers
7.6 Polar Equations
Chapter 7 Highlights
Chapter 7 Review Exercises
Chapter 7 Test
Tying it all Together
Concepts of Calculus: Limits and Asymptotes
8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in Three Variables
8.3 Nonlinear Systems of Equations
8.4 Partial Fractions
8.5 Inequalities and Systems of Inequalities in Two Variables
8.6 The Linear Programming Mod
P.1 Real numbers and Their Properties
P.2 Integral Exponents and Scientific Notation
P.3 Rational Exponents and Radicals
P.4 Polynomials
P.5 Factoring Polynomials
P.6 Rational Expressions
P.7 Complex Numbers
Chapter P Highlights
Chapter P Review Exercises
Chapter P Test
1. Equations, Inequalities, and Modeling
1.1 Equations in One Variable
1.2 Constructing Models to Solve Problems
1.3 Equations and Graphs in Two Variables
1.4 Linear Equations in Two Variables
1.5 Scatter Diagrams and Curve Fitting
1.6 Complex Numbers
1.7 Quadratic Equations
1.8 Linear and Absolute Value Inequalities
Chapter 1 Highlights
Chapter 1 Review Exercises
Chapter 1 Test
Concepts of Calculus: Limits
2. Functions and Graphs
2.1 Functions
2.2 Graphs of Relations and Functions
2.3 Families of Functions, Transformations, and Symmetry
2.4 Operations with Functions
2.5 Inverse Functions
2.6 Constructing Functions with Variation
Chapter 2 Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change
3. Polynomial and Rational Functions
3.1 Quadratic Functions and Inequalities
3.2 Zeroes of Polynomial Functions
3.3 The Theory of Equations
3.4 Miscellaneous Equations
3.5 Graphs of Polynomial Functions
3.6 Rational Functions and Inequalities
Chapter 3 Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying it all Together
Concepts of Calculus: Instantaneous Rate of Change of the Power Functions
4. Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Applications
4.2 Logarithmic Functions and Their Applications
4.3 Rules of Logarithms
4.4 More Equations and Applications
Chapter 4 Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying it all Together
Concepts of Calculus: The Instantaneous Rate of Change off(x)= ex
5. The Trigonometric Functions
5.1 Angles and Their Measurements
5.2 The Sine and Cosine Functions
5.3 The Graphs of the Sine and Cosine Functions
5.4 The Other Trigonometric Functions and Their Graphs
5.5 The Inverse Trigonometric Functions
5.6 Right Triangle Trigonometry
Chapter 5 Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying it all Together
Concepts of Calculus: Evaluating Transcendental Functions
6. Trigonometric Identities and Conditional Equations
6.1 Basic Identities
6.2 Verifying Identities
6.3 Sum and Difference Identities
6.4 Double-Angle and Half-Angle Identities
6.5 Product and Sum Identities
6.6 Conditional Trigonometric Equations
Chapter 6 Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying it all Together
Concepts of Calculus: Area of a Circle and p
7. Applications of Trigonometry
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Vectors
7.4 Trigonometric Form of Complex Numbers
7.5 Powers and Roots of Complex and Numbers
7.6 Polar Equations
Chapter 7 Highlights
Chapter 7 Review Exercises
Chapter 7 Test
Tying it all Together
Concepts of Calculus: Limits and Asymptotes
8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in Three Variables
8.3 Nonlinear Systems of Equations
8.4 Partial Fractions
8.5 Inequalities and Systems of Inequalities in Two Variables
8.6 The Linear Programming Mod
