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

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## Overview

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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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