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Contents Preface How to use this book List of screens from MathEcon CD Rom Chapter 1: Functions in Economics Section 1.1: Introduction Section 1.2: Coordinates and Graphs Section 1.3: Variables and Functions Section 1.4: Basic Rules of Algebra Section 1.5: Fractions and Sharing Section 1.6: Powers and Indices Section 1.7: Functions of More Than One Variable Section 1.8: Economic Variables and Functions Section 1.9: Total and Average Revenue Section 1.10: Total and Average Cost Section 1.11: Profit Section 1.12: Production Functions, Isoquants and the Average Product of Labour Section 1.13 Functions in Excel Chapter 1 Answers to Practice Problems Chapter 2: Equations in Economics Section 2.1: Introduction Section 2.2: Rewriting and Solving Equations Section 2.3: Substitution Section 2.4: Demand and Supply Section 2.5: Cost--Volume--Profit Analysis Section 2.6: Linear Equations Section 2.7: Budget Lines Section 2.8: Constant Substitution Along a Line Section 2.9: Quadratic Equations Section 2.10: Intersection of MC with MR or AVC Section 2.11: Simultaneous Equations Section 2.12: Simultaneous Equilibrium in Related Markets Section 2.13: Exponential Functions Section 2.14: Logarithmic Functions Section 2.15: Plotting and solving equations in Excel Chapter 2 Answers to Practice Problems Chapter 3: Macroeconomic Models Section 3.1: Introduction Section 3.2: Notation and Model Specification Section 3.3: Identifying Equilibrium Income Section 3.4: Keynesian Cross Model Section 3.5: IS--LM Analysis Chapter 3 Answers to Practice Problems Chapter 4: Changes, Rates, Finance and Series Section 4.1: Introduction Section 4.2: Percentage Changes Section 4.3: Simple and Compound Interest Section 4.4: Annual Equivalent Rate Section 4.5: Nominal and Real Interest Rates Section 4.6: Growth Rates and Logarithms Section 4.7: Depreciation Section 4.8: Net Present Value Section 4.9: Series Section 4.10: Savings and Loans with Regular Payments Section 4.11: Prices of Bills and Bonds and the Rate of Interest Section 4.12 Financial calculations with Excel Chapter 4 Answers to Practice Problems Chapter 5: Differentiation in Economics Section 5.1: Introduction Section 5.2: Using Differentiation in Economics Section 5.3: The Basic Rules of Differentiation Section 5.4: Application to Economic Analysis Section 5.5: Utility Functions Section 5.6: Revenue Functions Section 5.7: Short-run Production Functions Section 5.8: Cost Functions Section 5.9: Point Elasticity of Demand and of Supply Section 5.10: Investment Multiplier Chapter 5 Answers to Practice Problems Chapter 6: Maximum and Minimum Values Section 6.1: Introduction Section 6.2: Identifying Maximum and Minimum Turning Points Section 6.3: Maximum Total Revenue Section 6.4: Maximum Profit Section 6.5: Minimum Average Cost Section 6.6: Average and Marginal Product of Labour Section 6.7: Tax Rate which Maximizes Tax Revenue Section 6.8: Minimizing Total Inventory Costs Chapter 6 Answers to Practice Problems Chapter 7: Further Rules of Differentiation Section 7.1: Introduction Section 7.2: The Chain Rule Section 7.3: The Product Rule Section 7.4: The Quotient Rule Section 7.5: Marginal Revenue, Price Elasticity and Maximum Total Revenue Section 7.6: Optimal Production and Cost Relationships Section 7.7: Exponential and Natural Logarithmic Functions Section 7.8: Applications to Economic Analysis Chapter 7 Answers to Practice Problems Chapter 8: Partial Differentiation in Economics Section 8.1: Introduction Section 8.2: Partial Derivatives Section 8.3: Small Increments Formula Section 8.4: Multipliers Section 8.5: Differentials and Implicit Differentiation Section 8.6: Slope of an Indifference Curve Section 8.7: Elasticities Section 8.8: Logarithmic Demand Functions Section 8.9: Long-run Production Functions Section 8.10: Second Order Partial Derivatives Section 8.11: Optimization of Multivariate Functions Section 8.12: Price Discriminating Monopoly Chapter 8 Answers to Practice Problems Chapter 9: Constrained Maxima and Minima Section 9.1: Introduction Section 9.2: Substitution Method Section 9.3: Lagrange Multiplier Method Chapter 9 Answers to Practice Problems Chapter 10: Integration in Economics Section 10.1: Introduction Section 10.2: Rules of Integration Section 10.3: Finding Total Functions from Marginal Functions Section 10.4: Area Under a Curve Section 10.5: Definite Integrals in Economics Chapter 10 Answers to Practice Problems Chapter 11 Linear Programming Section 11.1: Introduction Section 11.2: Formulating linear programming problems Section11.3: Graphical solution Section 11.4: The optimal solution and the feasible set Section 11.5: Using Excel Solver Chapter 11 Answers to Practice Problems Chapter 12 Matrices in Economics Section 12.1: Introduction Section 12.2: Matrices and vectors Section 12.3: Matrix addition and subtraction Section 12.4: Multiplication of matrices Section 12.5: Handling equation systems Section 12.6: Determinants Section 12.7: Matrix inversion Section 12.8: Systems of equations in economics Section 12.9: Matrix operations in Excel Chapter 12 Answers to Practice Problems Index
Library of Congress Subject Headings for this publication: Economics, Mathematical, Business mathematics