| |
| |
| Preface | |
| |
| |
| Mathematical Symbols and Abbreviations | |
| |
| |
| |
| Business Math: Functions and Graphs | |
| |
| |
| |
| Functions | |
| |
| |
| |
| The Revenue Function | |
| |
| |
| |
| Multivariate Functions | |
| |
| |
| |
| The Demand and Supply Functions | |
| |
| |
| |
| Graphing Functions | |
| |
| |
| |
| The Demand Curve | |
| |
| |
| |
| Equations | |
| |
| |
| |
| Linear Functions | |
| |
| |
| |
| Solving Linear Equations | |
| |
| |
| |
| Linear Demand Curves | |
| |
| |
| |
| Solving Linear Inequalities | |
| |
| |
| |
| Slopes and Intercepts of Linear Equations | |
| |
| |
| |
| Slope-Intercept Form of a Line | |
| |
| |
| |
| Graphing a Linear Demand Curve | |
| |
| |
| |
| Finding the Equation of a Line | |
| |
| |
| |
| General Linear Form of a Line | |
| |
| |
| |
| The Consumer's Budget Constraint | |
| |
| |
| |
| Horizontal and Vertical Lines | |
| |
| |
| |
| Solving Two-Variable Systems of Linear Equations | |
| |
| |
| |
| Market Equilibrium | |
| |
| |
| |
| Properties of Functions | |
| |
| |
| |
| Kinked Budget Constraints | |
| |
| |
| |
| Exponents | |
| |
| |
| |
| Cobb-Douglas Production Function | |
| |
| |
| |
| Radicals and Fractional Exponents | |
| |
| |
| |
| Homogenous Functions | |
| |
| |
| |
| Constant Returns to Scale | |
| |
| |
| |
| Changes and Growth Rates | |
| |
| |
| |
| Growth Rate Formulas | |
| |
| |
| |
| The Sources of Economic Growth | |
| |
| |
| |
| Index Numbers | |
| |
| |
| |
| Consumer Price Index and Inflation | |
| |
| |
| Practice Exercises | |
| |
| |
| |
| Business Math: Optimization | |
| |
| |
| |
| Nonlinear Functions | |
| |
| |
| |
| The Concept of a Derivative | |
| |
| |
| |
| Notation of Derivatives | |
| |
| |
| |
| Rules of Differentiation | |
| |
| |
| |
| Marginal Functions | |
| |
| |
| |
| Graphical Interpretation of Derivatives | |
| |
| |
| |
| Marginal Product of Labor | |
| |
| |
| |
| Additional Topics on Derivatives | |
| |
| |
| |
| Second Derivatives | |
| |
| |
| |
| Diminishing Marginal Utility | |
| |
| |
| |
| Partial Derivatives | |
| |
| |
| |
| Partial Derivatives and the Ceteris Paribus Assumption | |
| |
| |
| |
| Income Elasticity of Demand | |
| |
| |
| |
| Optimization | |
| |
| |
| |
| Unconstrained Optimization | |
| |
| |
| |
| Profit Maximization | |
| |
| |
| |
| Constrained Optimization | |
| |
| |
| |
| Consumer's Utility Maximization Problem | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Continuously Compounded Interest Rate | |
| |
| |
| |
| Logarithmic Functions | |
| |
| |
| |
| The Natural Logarithm | |
| |
| |
| |
| Doubling Time for an Investment | |
| |
| |
| |
| Differentiation of e and ln | |
| |
| |
| |
| Measuring Areas under Linear Functions | |
| |
| |
| |
| Consumer Surplus | |
| |
| |
| |
| Economic Models | |
| |
| |
| |
| Flow and Stock Variables | |
| |
| |
| |
| Balance Sheet and Income Statement | |
| |
| |
| |
| Nominal and Real Economic Variables | |
| |
| |
| |
| Nominal and Real GDP | |
| |
| |
| |
| Comparative Statics Analysis | |
| |
| |
| |
| Shifting the Demand and Supply Curves | |
| |
| |
| Practice Exercises | |
| |
| |
| |
| Statistical Analysis Primer | |
| |
| |
| |
| Elements of Statistics | |
| |
| |
| |
| Sigma Notation | |
| |
| |
| |
| Measures of Central Tendency | |
| |
| |
| |
| Frequency Tables and Histograms | |
| |
| |
| |
| Measures of Variability | |
| |
| |
| |
| Measures of Association | |
| |
| |
| |
| Probability Essentials | |
| |
| |
| |
| Discrete Random Variables | |
| |
| |
| |
| Discrete Random Variables and Expected Value | |
| |
| |
| |
| Discrete Random Variables and Variance | |
| |
| |
| |
| Decision Tree Basics | |
| |
| |
| |
| Continuous Random Variables | |
| |
| |
| |
| The Normal Distribution | |
| |
| |
| |
| Standardizing: z-Values | |
| |
| |
| |
| Standard Normal Tables and z-Values | |
| |
| |
| |
| An Introduction to Estimation | |
| |
| |
| |
| The Sampling Distribution of the Sample Mean | |
| |
| |
| |
| Regression Analysis | |
| |
| |
| |
| Simple Linear Regression | |
| |
| |
| |
| Hypothesis Testing | |
| |
| |
| |
| Types of Errors | |
| |
| |
| |
| Significance from p-Values | |
| |
| |
| Practice Exercises | |
| |
| |
| |
| Mathematics of Finance | |
| |
| |
| |
| Time Value of Money | |
| |
| |
| |
| Present Value | |
| |
| |
| |
| Future Value | |
| |
| |
| |
| Nominal and Real Rates of Interest | |
| |
| |
| |
| Compound Interest | |
| |
| |
| |
| Continuous Compounding | |
| |
| |
| |
| Effective Interest Rate | |
| |
| |
| |
| Annuities | |
| |
| |
| |
| Amortization of Loans | |
| |
| |
| |
| Perpetuities | |
| |
| |
| |
| Growing Perpetuities | |
| |
| |
| |
| Net Present Value | |
| |
| |
| |
| Discounted Cash Flow | |
| |
| |
| |
| Risk-Adjusted Discount Rates | |
| |
| |
| |
| Bonds | |
| |
| |
| |
| Zero-Coupon Bonds | |
| |
| |
| |
| Common Stocks | |
| |
| |
| |
| Portfolio Theory Primer | |
| |
| |
| |
| Portfolio Math | |
| |
| |
| |
| Diversification and Portfolio Risk | |
| |
| |
| |
| Measuring Risk | |
| |
| |
| Practice Exercises | |
| |
| |
| |
| List of Rules | |
| |
| |
| |
| Answers to Practice Exercises | |
| |
| |
| Notes | |
| |
| |
| References | |
| |
| |
| Index | |