# Mathematics for Economists

## Primary tabs

Introduction of Real Analysis
Linear Algebra

• Introduction
• Application in Input Output System
• Application in the Complete Keynesian Model
• Optimization using Linear Programming

Simplex Method

• Concept of Duality problem and application of cost minimization problem
• Single and Multi-variable Optimization

Total differential

• Concavity, convexity, quasi-concavity, quasi-convexity
• Unconstrained optimization
• Constrained optimization: Equality constraints
• Constrained optimization: Inequality constraints
• Concave programming, Kuhn-Tucker conditions
• Application in Consumer Optimization, Production Optimization, Overlapping Generation Models etc.

Comparative static analysis

• Value function
• Envelope Theorem
• Implicit function theorem
• Application inSlutsky equation, Roy’s identity, input demand function, Le-Chatelier Principle

Dynamic analysis

Differential Equations

• First order linear differential equations with constant term and constant coefficient (Dynamics of market price)
• Second order linear differential equations with constant term and constant coefficient (Expectation augmented Phillips curve)
• Simultaneous differential equations (Dynamic Input Output model)

Difference Equations

• First order linear difference equations with constant term and constant coefficient (Cobweb Model)
• Second order linear difference equations with constant term and constant coefficient (Samuelson Multiplier Acceleration Interaction model)
• Simultaneous difference equation (Inflation Unemployment model)

Text

1. Fundamental Methods of Mathematical Economics, Alpha C Chiang and Kevin Wainwright, McGraw-Hill, 2005
2. Mathematics for Economist, Carl P. Simon and Lawrence E. Blume, W. W. Norton, Incorporated, 1994
3. The Structure of Economics: A Mathematical Analysis, Eugene Silberberg and Wing Suen, McGraw-Hill, 2001
4. Real Analysis with Economic Applications, EfeA.Ok, Princeton University Press, 2007
5. Introduction to Linear Algebra, Gilbert Strang,Wellesley-Cambridge Press, 2005