IMS Content
1.2
<langstring xml:lang="enUS">WinEcon  Mathematics for Economics and Business</langstring>
An interactive mathematics course for economics and business.
interactive mathematics course for economics and business
WinEcon  Mathematics for Economics and Business

Functions in Economics

Introductory Mathematics

Introduction

About Introductory Mathematics for Economists

Coordinates and Graphs

Variables and Functions

Basic Rules of Algebra

Fractions and Sharing

Powers and Indices

Summary of the Basics

Functional Relationships in Economics: Book 1.1  1.5

Introduction

Economic Problems  Basic Mathematics

Objectives and Actions: Looking Ahead

The Demand Curve of an Individual

Deriving the ShortRun Average Fixed (AFC) and Average Variable Cost (AVC) Curves

ShortRun Production Functions: a numerical example

Optimal Consumption Choice

Using Functions in Economics: Book 1.8  1.12

Introduction

Factors Affecting Demand

ShortRun Production Functions: a numerical example (Section 3)

Economic Problems  Basic Mathematics (Section 3)

ShortRun Cost Definition

Profit Maximisation

Marginal Cost and Revenue at Profit Maximisation

Profit Maximisation by a Monopolist

Profit Maximisation for a Monopolist using MC and MR

Equations in Economics

Solving Equations

Introduction

Transposition

Linear Equations

Quadratic Equations

Simultaneous Equations

Exponential Functions

Logarithmic Functions

Summary of Equations

Market Equilibrium and CVP analysis: Book 2.1  2.5

Introduction

Economic Problems  Equations

Factors Affecting Demand (Ch 2)

The Demand Curve of an Individual (Ch 2)

Market Equilibrium

Shifts in an Individual's Demand Curve

Shifts in the Supply Curve of a Firm

CVP: graphical analysis

CVP: algebraic analysis

Equation Showing CVP Required Output Level

Economic Analysis for Equations Topics: Book 2.7  2.14

Introduction

Changing the Budget Line

Optimal Consumption Choice (Ch 2)

Discovering Indifference Curves

Assumptions of Indifference Curves

Profit Maximisation (Ch 2)

Marginal Cost and Revenue at Profit Maximisation (Ch 2)

Fixed and Variable Costs

Short Run Supply

Trends in Levels and Logarithms

Macroeconomic Models

Using Functions and Equations

Introduction

Macroeconomic Model Specification: Book 3.2

Introduction

Accounting Identities in the Circular Flow

Taxation

Consumer Demand and Disposable Income

Saving

Aggregate Demand in the Goods Market

Summary

Identifying Equilibrium Income: Book 3.3

Introduction

Solution Method 1: Aggregate Demand equals Aggregate Output/Income

Solution Method 2: Planned Withdrawals equals Planned Injections

Keynesian Cross Model: Book 3.4

Introduction

Goods Market Equilibrium

Keynesian Cross Diagram

Equilibrium Values for Other Variables

ISLM Analysis: Book 3.5

Introduction

The Money Market and Equilibrium Interest Rate

The LM Curve and Equation

LM Curve: Equation Derivation

The Consumption Demand Function

The Investment Demand Function

The IS Equation and Curve: Equation Approach

ISLM Equilibrium

Changes Rates Finance and Series

Introduction to Changes Rates Finance & Series

Introduction

Summary  Sequence & Series

Changes over Time: Book 4.5  4.6

Introduction

Nominal and Real Interest Rates

Positive and Negative Real Interest Rates

Real Interest Rates in Various Countries

Trends in Levels and Logarithms (Ch 4)

Net Present Value: Book 4.8

Introduction

Present Value & Cash Flow

Net Present Value

Evaluate Your Own Project

Economic Problems  Sequences

Series and Annuities: Book 4.9  4.10

Introduction

Sequences and Series

Economic Problems  Sequences (Section 4)

Prices of Bills & Bonds and the Rate of Interest: Book 4.11

Introduction

Bills and Bonds

Differentiation in Economics

Introduction to Differentiation for Economists: Book 5.1  5.2

Introduction

About Intermediate Mathematics for Economics

Why Economists use Differentiation

The Basic Rules of Differentiation: Book 5.3

Introduction

The Basic Rules of Differentiation

Worked Examples

A Summary of The Basic Rules of Differentiation

Practice Differentiation

Application to Economic Analysis: Book 5.4  5.9

Introduction

Example One  Utility Functions

Example Two  Revenue Functions

ShortRun Production Functions: a numerical example (Ch 5)

Example Three  Cost Functions

Point Elasticity  Linear Demand Curve

Point Elasticity  Nonlinear Demand Curve

Price Elasticity and the Slope of the Supply Curve

Maximum and Minimum Values

Finding Maximum and Minimum Values: Book 6.2

Introduction

Identifying Maximum & Minimum Values

Checking for Maximum or Minimum Turning points

Rules for Finding a Maximum or Minimum

Maximum and Minimum Values in Economics: Book 6.3  6.5

Introduction

What Happens at a Maximum?

Example One  Maximum Profit

Profit Maximisation (Ch 6)

Marginal Cost and Revenue at Profit Maximisation (Ch 6)

Profit Maximisation by a Monopolist (Ch 6)

Profit Maximisation for a Monopolist using MC and MR (Ch 6)

Example Two  Minimum Average Cost

Further Rules of Differentiation

Differentiation Rules and Applications: Book 7.2  7.5

Introduction

The Chain Rule

The Product Rule

The Quotient Rule

Further Rules of Differentiation  A Summary

Example One  Marginal Revenue (Product Rule)

Price Elasticity and Total Revenue

Differentiating Logs and Exponentials: Book 7.7

Introduction

Rules for Differentiation of Logs/Exponentials

Natural Logarithmic & Exponential Functions

Practise Differentiating Logs/Exponentials

Partial Differentiation in Economics

Using Partial Differentiation: Book 8.2 8.6 8.7 and 8.9

Introduction

Marginal Product of Labour and Capital

Practice Partial Differentiation

Optimal Consumption Choice (Ch 8)

Cross Elasticity of Demand

The Shape of the Isoquant: marginal rate of substitution

Producing at Minimum Cost

Cost Minimisation for a Fixed Output Level

Maximum Output for a Fixed Budget

Optimisation of Multivariate Functions: Book 8.11

Introduction

Optimisation of Multivariate Functions

Constrained Maxima and Minima

Optimising subject to a Constraint: Book 9.1

Introduction

Constrained Optimisation

Using the Substitution Method: Book 9.2

Introduction

The Substitution Method

Using the Lagrange Multiplier Method: Book 9.3

Introduction

The Lagrange Multiplier Method

Integration in Economics

Measuring the Area Under a Curve: Book 10.5

Introduction

Market Consumer Surplus