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

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

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