The focus of this book is on how mathematics helps with economic analysis and modeling. Key economic principles and conclusions are derived and highlighted using math. This helps reinforce the learning about economics that students already have and creates a link between their other economics studies and the use of mathematics
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 "In my several years of teaching mathematical methods in undergraduate economics I have found that what the students find particularly hard and difficult to grasp is not the mathematics itself but how to make mathematics "sing" economics. This book does a great job by teaching how mathematics used in economic models both reveals and is enlivened by economic intuition." - Sujoy Mukerji, Oxford University, UK