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  5. Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences

Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, 14th edition

  • Ernest F Haeussler
  • Richard S. Paul
  • Richard J. Wood

Published by Pearson Canada (July 24th 2018) - Copyright © 2019

14th edition

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Overview

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide.

 

Haeussler, Paul, and Wood establish a strong algebraic foundation that sets this text apart from other applied mathematics texts, paving the way for students to solve real-world problems that use calculus. Emphasis on developing algebraic skills is extended to the exercises—including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize manageability for teachers and learning for students. The table of contents covers a wide range of topics efficiently, enabling instructors to tailor their courses to meet student needs.

 

0134773616 / 9780134773612 Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, First Canadian Edition Plus MyMathLab with Pearson eText -- Access Card Package, 1/e

 

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0134141105 / 9780134141107 Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, First Canadian Edition

0134811038 / 9780134811031 MyMathLab with Pearson eText -- Standalone Access Card -- for Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, First Canadian Edition

Table of contents

CHAPTER 0 Review of Algebra

0.1 Sets of Real Numbers

0.2 Some Properties of Real Numbers

0.3 Exponents and Radicals

0.4 Operations with Algebraic Expressions

0.5 Factoring

0.6 Fractions

0.7 Equations, in Particular Linear Equations

0.8 Quadratic Equations

Chapter 0 Review

 

CHAPTER 1 Applications and More Algebra

1.1 Applications of Equations

1.2 Linear Inequalities

1.3 Applications of Inequalities

1.4 Absolute Value

1.5 Summation Notation

1.6 Sequences

Chapter 1 Review

 

CHAPTER 2 Functions and Graphs

2.1 Functions

2.2 Special Functions

2.3 Combinations of Functions

2.4 Inverse Functions

2.5 Graphs in Rectangular Coordinates

2.6 Symmetry

2.7 Translations and Reflections

2.8 Functions of Several Variables

Chapter 2 Review

 

CHAPTER 3 Lines, Parabolas, and Systems

3.1 Lines

3.2 Applications and Linear Functions

3.3 Quadratic Functions

3.4 Systems of Linear Equations

3.5 Nonlinear Systems

3.6 Applications of Systems of Equations

Chapter 3 Review

 

CHAPTER 4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

4.4 Logarithmic and Exponential Equations

Chapter 4 Review

 

PART II FINITE MATHEMATICS

 

CHAPTER 5 Mathematics of Finance

5.1 Compound Interest

5.2 Present Value

5.3 Interest Compounded Continuously

5.4 Annuities

5.5 Amortization of Loans

5.6 Perpetuities

Chapter 5 Review

 

CHAPTER 6 Matrix Algebra

6.1 Matrices

6.2 Matrix Addition and Scalar Multiplication

6.3 Matrix Multiplication

6.4 Solving Systems by Reducing Matrices

6.5 Solving Systems by Reducing Matrices (continued)

6.6 Inverses

6.7 Leontief’s Input--Output Analysis

Chapter 6 Review

 

CHAPTER 7 Linear Programming

7.1 Linear Inequalities in Two Variables

7.2 Linear Programming

7.3 The Simplex Method

7.4 Artificial Variables

7.5 Minimization

7.6 The Dual

Chapter 7 Review

 

CHAPTER 8 Introduction to Probability and Statistics

8.1 Basic Counting Principle and Permutations

8.2 Combinations and Other Counting Principles

8.3 Sample Spaces and Events

8.4 Probability

8.5 Conditional Probability and Stochastic Processes

8.6 Independent Events

8.7 Bayes’ Formula

Chapter 8 Review

 

CHAPTER 9 Additional Topics in Probability

9.1 Discrete Random Variables and Expected Value

9.2 The Binomial Distribution

9.3 Markov Chains

Chapter 9 Review

 

PART III CALCULUS

 

CHAPTER 10 Limits and Continuity

10.1 Limits

10.2 Limits (Continued)

10.3 Continuity

10.4 Continuity Applied to Inequalities

Chapter 10 Review

 

CHAPTER 11 Differentiation

11.1 The Derivative

11.2 Rules for Differentiation

11.3 The Derivative as a Rate of Change

11.4 The Product Rule and the Quotient Rule

11.5 The Chain Rule

Chapter 11 Review

 

CHAPTER 12 Additional Differentiation Topics

12.1 Derivatives of Logarithmic Functions

12.2 Derivatives of Exponential Functions

12.3 Elasticity of Demand

12.4 Implicit Differentiation

12.5 Logarithmic Differentiation

12.6 Newton’s Method

12.7 Higher-Order Derivatives

Chapter 12 Review

 

CHAPTER 13 Curve Sketching

13.1 Relative Extrema

13.2 Absolute Extrema on a Closed Interval

13.3 Concavity

13.4 The Second-Derivative Test

13.5 Asymptotes

13.6 Applied Maxima and Minima

Chapter 13 Review

 

CHAPTER 14 Integration

14.1 Differentials

14.2 The Indefinite Integral

14.3 Integration with Initial Conditions

14.4 More Integration Formulas

14.5 Techniques of Integration

14.6 The Definite Integral

14.7 The Fundamental Theorem of Calculus

Chapter 14 Review

 

CHAPTER 15 Applications of Integration

15.1 Integration by Tables

15.2 Approximate Integration

15.3 Area Between Curves

15.4 Consumers’ and Producers’ Surplus

15.5 Average Value of a Function

15.6 Differential Equations

15.7 More Applications of Differential Equations

15.8 Improper Integrals

Chapter 15 Review

 

CHAPTER 16 Continuous Random Variables

16.1 Continuous Random Variables

16.2 The Normal Distribution

16.3 The Normal Approximation to the Binomial Distribution

Chapter 16 Review

 

CHAPTER 17 Multivariable Calculus

17.1 Partial Derivatives

17.2 Applications of Partial Derivatives

17.3 Higher-Order Partial Derivatives

17.4 Maxima and Minima for Functions of Two Variables

17.5 Lagrange Multipliers

17.6 Multiple Integrals

Chapter 17 Review

 

APPENDIX A Compound Interest Tables

APPENDIX B Table of Selected Integrals

APPENDIX C Areas Under the Standard Normal Curve

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