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

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