Table of contents for Mathematics for economics and business : an interactive introduction / Jean Soper.


Bibliographic record and links to related information available from the Library of Congress catalog. Note: Contents data are machine generated based on pre-publication information provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.


Counter
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