Table of contents : Cover Title Page Copyright Page Preface Table of Contents Introduction 1: Elementary Mathematical Concepts and Operations 1.1 Simple Operations on Positive and Negative Numbers 1.2 Fractions and Square Roots 1.3 BEDMAS 1.4 Algebraic Expressions 1.5 Expanding Brackets 1.6 Factorizing Algebraic Expressions 1.7 The Cartesian Plane Summary Exercises 2: Linear Equations 2.1 Equations and Linear Equations 2.2 Linear Equations (LE) of One Variable 2.3 The Equation of a Line 2.4 Graphing a Linear Function 2.5 Slope of a Line 2.6 Economic Application of Linear Equations: Supply and Demand Models 2.7 Simultaneous Linear Equations 2.8 Solving a Set of Linear Equations 2.9 The Equation of a Line Revisited Summary Exercises 3: Non-Linear Functions and Equations 3.1 Quadratic Equations 3.2 Solving a Quadratic Equation Using the Perfect Square 3.3 Graphing the Quadratic 3.4 Powers 3.5 Roots 3.6 Exponential Functions 3.7 Logarithms Summary Exercises 4: Functions and Differentiation 4.1 Functions 4.2 Definition of the Derivative 4.3 Calculating the Derivatives 4.4 Minima and Maxima 4.5 Price Elasticity of Demand Summary Exercises 5: Economic Application of Functions and Differentiation 5.1 Cost Concepts 5.2 Revenue, Cost, Profit and Break-Even Point 5.3 Maximizing Profit and Minimizing Cost 5.4 Marginal Revenue and Cost 5.5 Opportunity Cost Summary Exercises 6: Summation, Percentages and Interest 6.1 ∑ummation Sign ∑ 6.2 Percentages 6.3 Interest 6.4 Time Value of Money 6.5 Depreciation of an Asset 6.6 Nominal and Effective Interest 6.7 The Future Value of a Sequence of Payments Summary Exercises 7: Arithmetic and Geometric Series 7.1 Series 7.2 Arithmetic Series 7.3 Geometric Series Summary Exercises 8: Annuity and Amortization 8.1 Savings account 8.2 Present Value of an Annuity 8.3 Amortization Summary Exercises 9: Matrices and Markov Chains 9.1 What is a Matrix 9.2 Matrices and Operations on Matrices 9.3 Determinant and the Cramer's rule 9.4 Markov Chains Summary Exercises Solutions Bibliography Picture credits Glossary Index About the authors Citation preview
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