Mathematics for Economics

Mik Wisniewski is a Senior Research Fellow at the University of Strathclyde Business School, UK where he has specific research interests in performance measurement and performance management, particularly for public sector organisations. His research expertise relates to benchmarking, process mapping and the use of the balanced scorecard as well as business analysis and modelling. He has extensive teaching and consultancy experience across the UK, Europe, Africa and the Middle East in the areas of economic analysis, modelling and forecasting. He has worked with companies such as British Energy, British Gas, Shell, Scottish Power and with a variety of public sector organisations.

Introduction
PART I: THE BUILDING BLOCKS OF ECONOMIC ANALYSIS
Tools of the Trade: the Basics of Algebra
Linear Relationships in Economic Analysis
Non-linear Relationships in Economic Analysis
PART II: LINEAR MODELS IN ECONOMIC ANALYSIS
The Principles of Linear Models
Market Supply and Demand Models
National Income Models
Matrix Algebra the Basics
Matrix Algebra the Matrix Inverse
Economic Analysis with Matrix Algebra
Economic Analysis with Matrix Algebra: Input-output Analysis
PART III: OPTIMIZATION IN ECONOMIC ANALYSIS
Quadratic Functions in Economic Analysis
The Derivative and the Rules of Differentiation
Derivatives and Economic Analysis
The Principles of Optimization
Optimization in Economic Analysis
Optimization in Production Theory
PART IV: OPTIMIZATION WITH MULTIPLE VARIABLES
Functions of More Than Two Variables
Analysis of Multi-variable Economic Models
Unconstrained Optimization
Constrained Optimization
PART V: FURTHER TOPICS IN ECONOMIC ANALYSIS
Integration and Economic Analysis
Financial Analysis in Economics I: Interest and Present Value
Financial Analysis in Economics II: Annuities, Sinking Funds and Growth Models
An Introduction to Dynamics
Probability and Economic Analysis
Appendices
The Greek Alphabet
Solutions to the Learning Check Activities
Solutions to the Progress Check Activities
Outline Solutions to the End-of-module Exercises.