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Full Description
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.
Contents
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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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
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