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