# Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences (Arab World Editions) with MathXL

## Ernest Haeussler, Richard Paul, Richard Wood, SAADIA KHOUYIBABA

Aug 2012, Book with Online Course AccessISBN13: 9781408286463

ISBN10: 1408286467

## Description

- Table of Contents
- Features
- Reviews

Available in Summer 2012, the Arab World Edition of Haeussler’s Introductory Mathematical Analysis, adapted by Khouyibaba, has specially customized content to align with core mathematics modules being taught across the Arab world. The book’s focused content is an excellent fit with lecturers’ teaching needs in the region. This textbook is set to become an essential tool for lecturers and students studying mathematics in the Arab world.

- Description
## Table of Contents

- Features
- Reviews

**PART I ****COLLEGE ALGEBRA**

CHAPTER 0 **Review of Algebra ****1**

0.1 **Sets of Real Numbers ****2**

0.2 **Some Properties of Real Numbers ****3**

0.3 **Exponents and Radicals ****9**

0.4 **Operations with Algebraic Expressions ****16**

0.5 **Factoring Polynomials ****21**

0.6 **Fractions ****24**

**Chapter 0 Review ****29**

**Important Terms and Symbols ****29**

**Review Problems ****29**

**Chapter Test ****30**

CHAPTER 1 **Equations and Inequalities ****31**

1.1 **Equations, in Particular Linear Equations ****31**

1.2 **Quadratic Equations ****42**

1.3 **Applications of Equations ****49**

1.4 **Linear Inequalities ****58**

1.5 **Applications of Inequalities ****62**

1.6 **Absolute Value ****66**

**Chapter 1 Review ****70**

**Important Terms and Symbols ****70**

**Summary ****70**

**Review Problems ****71**

**Chapter Test ****71**

**Variable-Quality Recording ****73**

CHAPTER 2 **Functions, Graphs, and Lines ****75**

2.1 **Functions ****76**

2.2 **Special Functions ****85**

2.3 **Combinations of Functions ****90**

2.4 **Inverse Functions ****95**

2.5 **Graphs in Rectangular Coordinates ****98**

2.6 **Lines ****107**

2.7 **Applications and Linear Functions ****116**

2.8 **Quadratic Functions and Parabolas ****122**

**Chapter 2 Review ****130**

**Important Terms and Symbols ****130**

**Summary ****130**

**Review Problems ****131**

**Chapter Test ****133**

**Mobile Phones ****134**

CHAPTER 3 **Exponential and Logarithmic Functions ****137**

3.1 **Exponential Functions ****137**

3.2 **Logarithmic Functions ****151**

3.3 **Properties of Logarithms ****158**

**vii**

February 22, 2012 A01_HAEU6401_01_SE_FM page viii

**viii **Expanded Contents

3.4 **Logarithmic and Exponential Equations ****164**

**Chapter 3 Review ****169**

**Important Terms and Symbols ****169**

**Summary ****170**

**Review Problems ****170**

**Chapter Test ****172**

**Drug Dosages ****173**

**PART II ****MATHEMATICS OF FINANCE**

CHAPTER 4 **Mathematics of Finance ****176**

4.1 **Summation Notation and Sequences ****176**

4.2 **Simple and Compound Interest ****191**

4.3 **Present Value ****197**

4.4 **Interest Compounded Continuously ****201**

4.5 **Annuities ****205**

4.6 **Amortization of Loans ****214**

4.7 **Perpetuities ****220**

**Chapter 4 Review ****223**

**Important Terms and Symbols ****223**

**Summary ****223**

**Review Problems ****225**

**Chapter Test ****225**

**Treasury Securities ****226**

CHAPTER 5 **Matrix Algebra ****229**

5.1 **Systems of Linear Equations ****230**

5.2 **Applications of Systems of Linear Equations ****243**

5.3 **Matrices ****249**

5.4 **Matrix Addition and Scalar Multiplication ****255**

5.5 **Matrix Multiplication ****262**

5.6 **Solving Systems by the Gauss–Jordan Method ****274**

5.7 **Inverses ****290**

5.8 **Leontief’s Input–Output Analysis ****299**

**Chapter 5 Review ****305**

**Important Terms and Symbols ****305**

**Summary ****306**

**Review Problems ****306**

**Chapter Test ****308**

**Insulin Requirements as a Linear Process ****309**

CHAPTER 6 **Linear Programming ****311**

6.1 **Linear Inequalities in Two Variables ****311**

6.2 **Linear Programming: Graphical Approach ****317**

6.3 **The Simplex Method: Maximization ****329**

6.4 **The Simplex Method: Nonstandard Maximization Problems ****349**

6.5 **Minimization ****361**

6.6 **The Dual ****366**

**Chapter 6 Review ****376**

**Important Terms and Symbols ****376**

**Summary ****376**

**Review Problems ****377**

**Chapter Test ****379**

**Drug and Radiation Therapies ****381**

February 22, 2012 A01_HAEU6401_01_SE_FM page ix

Expanded Contents **ix**

**PART III ****CALCULUS**

CHAPTER 7 **Limits and Continuity ****383**

7.1 **Limits ****384**

7.2 **One-Sided Limits and Limits at Infinity ****394**

7.3 **Continuity ****401**

7.4 **Continuity Applied to Inequalities ****407**

**Chapter 7 Review ****412**

**Important Terms and Symbols ****412**

**Summary ****413**

**Review Problems ****413**

**Chapter Test ****415**

**Public Debt ****415**

CHAPTER 8 **Differentiation ****417**

8.1 **The Derivative ****418**

8.2 **Rules for Differentiation ****426**

8.3 **The Derivative as a Rate of Change ****434**

8.4 **The Product Rule and the Quotient Rule ****446**

8.5 **The Chain Rule ****455**

**Chapter 8 Review ****463**

**Important Terms and Symbols ****463**

**Summary ****463**

**Review Problems ****464**

**Chapter Test ****466**

**Marginal Propensity to Consume ****467**

CHAPTER 9 **Additional Differentiation Topics ****469**

9.1 **Derivatives of Logarithmic Functions ****469**

9.2 **Derivatives of Exponential Functions ****476**

9.3 **Elasticity of Demand ****481**

9.4 **Implicit Differentiation ****487**

9.5 **Logarithmic Differentiation ****494**

9.6 **Higher-Order Derivatives ****497**

**Chapter 9 Review ****501**

**Important Terms and Symbols ****501**

**Summary ****502**

**Review Problems ****502**

**Chapter Test ****504**

**Economic Order Quantity ****504**

CHAPTER 10 **Curve Sketching ****506**

10.1 **Relative Extrema ****507**

10.2 **Absolute Extrema on a Closed Interval ****519**

10.3 **Concavity ****522**

10.4 **The Second-Derivative Test ****529**

10.5 **Asymptotes ****531**

10.6 **Applied Maxima and Minima ****541**

**Chapter 10 Review ****552**

**Important Terms and Symbols ****552**

**Summary ****552**

**Review Problems ****553**

**Chapter Test ****556**

**Population Change over Time ****557**

February 22, 2012 A01_HAEU6401_01_SE_FM page x

**x **Expanded Contents

CHAPTER 11 **Integration ****560**

11.1 **Differentials ****561**

11.2 **The Indefinite Integral ****565**

11.3 **Integration with Initial Conditions ****571**

11.4 **More Integration Formulas ****576**

11.5 **Techniques of Integration ****583**

11.6 **The Definite Integral ****588**

11.7 **The Fundamental Theorem of Integral Calculus ****594**

11.8 **Area between Curves ****603**

11.9 **Consumers’ and Producers’ Surplus ****612**

**Chapter 11 Review ****615**

**Important Terms and Symbols ****615**

**Summary ****616**

**Review Problems ****617**

**Chapter Test ****619**

**Delivered Price ****620**

CHAPTER 12 **Methods and Applications of Integration ****623**

12.1 **Integration by Parts ****623**

12.2 **Integration by Tables ****628**

12.3 **Average Value of a Function ****635**

12.4 **Differential Equations ****637**

12.5 **More Applications of Differential Equations ****644**

12.6 **Improper Integrals ****650**

**Chapter 12 Review ****654**

**Important Terms and Symbols ****654**

**Summary ****654**

**Review Problems ****655**

**Chapter Test ****657**

**Dieting ****658**

CHAPTER 13 **Multivariable Calculus ****660**

13.1 **Functions of Several Variables ****660**

13.2 **Partial Derivatives ****669**

13.3 **Applications of Partial Derivatives ****674**

13.4 **Higher-Order Partial Derivatives ****679**

13.5 **Maxima and Minima for Functions of Two Variables ****681**

13.6 **Lagrange Multipliers ****691**

13.7 **Lines of Regression ****699**

**Chapter 13 Review ****705**

**Important Terms and Symbols ****705**

**Summary ****705**

**Review Problems ****706**

**Chapter Test ****707**

**Data Analysis to Model Cooling ****709**

**BONUSCHAPTERSAVAILABLE ONLINE**

CHAPTER I **Introduction to Probability and Statistics ****1**

I.1 **Basic Counting Principle and Permutations ****2**

I.2 **Combinations and Other Counting Principles ****9**

I.3 **Sample Spaces and Events ****19**

I.4 **Probability ****27**

I.5 **Conditional Probability and Stochastic Processes ****41**

I.6 **Independent Events ****54**

February 22, 2012 A01_HAEU6401_01_SE_FM page xi

Expanded Contents **xi**

I.7 **Bayes’ Formula ****64**

**Chapter I Review ****72**

**Important Terms and Symbols ****72**

**Summary ****73**

**Review Problems ****74**

**Chapter Test ****76**

**Probability and Cellular Automata ****79**

CHAPTER II **Additional Topics in Probability ****81**

II.1 **Discrete Random Variables and Expected Value ****81**

II.2 **The Binomial Distribution ****91**

II.3 **Markov Chains ****96**

**Chapter II Review ****106**

**Important Terms and Symbols ****106**

**Summary ****106**

**Review Problems ****107**

**Chapter Test ****109**

**Markov Chains in Game Theory ****110**

CHAPTER III **Continuous Random Variables ****112**

III.1 **Continuous Random Variables ****112**

III.2 **The Normal Distribution ****120**

III.3 **The Normal Approximation to the Binomial Distribution ****125**

**Chapter III Review ****128**

**Important Terms and Symbols ****128**

**Summary ****128**

**Review Problems ****129**

**Chapter Test ****129**

**Cumulative Distribution from Data ****130**

APPENDIX A **Compound Interest Tables ****711**

APPENDIX B **Table of Selected Integrals ****719**

APPENDIX C **Areas Under the Standard Normal Curve ****722**

APPENDIX D **Algebra, Finite Mathematics, and Calculus ****725**

**English–Arabic Glossary of Mathematical Terms ****G-1**

**Answers to Odd-Numbered Problems ****AN-1**

**Index ****I-1**

**Photo Credits ****P-1**

- Description
- Table of Contents
## Features

- Reviews

- An English – Arabic glossary of key mathematical terms

- Simplified language and accessible content that has been customized to match core curriculum in the region
- Examples, applications and problems taken from local experiences and Arab companies
- New biographies of influential Arab and international mathematicians
- Different levels of exercises to support different levels of students
- A comprehensive range of mathematical topics

- Description
- Table of Contents
- Features
## Reviews

The adapting author, Saadia Khouyibaba, says of the edition:

Often professors in the Arab world find themselves teaching with extbooks that contain irrelevant or even inappropriate topics and examples. Both lecturers and students in the region have asked themselves, “can’t there be more relevant textbooks for this part of the world?” Finally, the Arab World Editions address this issue.