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.