Mathematics for Economics

An integrated approach

by Mik Wisniewski

Table of Contents

  • Introduction

PART I: THE BUILDING BLOCKS OF ECONOMIC ANALYSIS

  1. Tools of the Trade: the Basics of Algebra
  2. Linear Relationships in Economic Analysis
  3. Non-linear Relationships in Economic Analysis

PART II: LINEAR MODELS IN ECONOMIC ANALYSIS

  1. The Principles of Linear Models
  2. Market Supply and Demand Models
  3. National Income Models
  4. Matrix Algebra - the Basics
  5. Matrix Algebra - the Matrix Inverse
  6. Economic Analysis with Matrix Algebra
  7. Economic Analysis with Matrix Algebra: Input-output Analysis

PART III: OPTIMIZATION IN ECONOMIC ANALYSIS

  1. Quadratic Functions in Economic Analysis
  2. The Derivative and the Rules of Differentiation
  3. Derivatives and Economic Analysis
  4. The Principles of Optimization
  5. Optimization in Economic Analysis
  6. Optimization in Production Theory

PART IV: OPTIMIZATION WITH MULTIPLE VARIABLES

  1. Functions of More Than Two Variables
  2. Analysis of Multi-variable Economic Models
  3. Unconstrained Optimization
  4. Constrained Optimization

PART V: FURTHER TOPICS IN ECONOMIC ANALYSIS

  1. Integration and Economic Analysis
  2. Financial Analysis in Economics I: Interest and Present Value
  3. Financial Analysis in Economics II: Annuities, Sinking Funds and Growth Models
  4. An Introduction to Dynamics
  5. Probability and Economic Analysis

APPENDICES

  1. The Greek Alphabet
  2. Solutions to the Learning Check Activities
  3. Solutions to the Progress Check Activities
  4. Outline Solutions to the End-of-module Exercises​