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