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

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 Access
ISBN13: 9781408286463
ISBN10: 1408286467
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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.

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

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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

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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

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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

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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

  • 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

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.