DESCRIPTION & OBJECTIVES

After completing the course, students will be able to understand the Derivatives of implicit functions, Matrix algebra, Mathematical Programming, and Optimization problems, and many other related terms of course. Students will have the basic knowledge about the use of Mathematics in Economics.

READINGS

TEXT BOOKS:

  1. Chiang, A. C. Fundamentals Methods of Mathematical Economics. 3rdEdition. 2005, International Edition, McGraw Hill publications.

REFERANCE MATERIAL:

  1. Goshaw, M. (2008). Concepts of calculus with applications. 1st Edition.Singapore: Pearson Publisher.
  2. Shannon, J. (1995). Mathematics for Business Economics and Finance, Australia:John Willey &Sons.

CONTENTS

The nature of mathematical economics, mathematical versus non-mathematical economics and econometrics, economic models and equilibrium analysis, matrix algebra, applications of derivatives: Comparative static analysis in economics and economic models, Derivatives of implicit functions, Optimization Problems, General Constrained Optimization, Dynamic optimization & Integration, Convexity and Optimization—Multivariate Optimization, Mathematical Programming: The concepts of Linear and  Non-Linear Programming.

COURSE SCHEDULE

Week

Topics and Readings

 

1.

The nature of mathematical economics, mathematical versus non-mathematical economics and econometrics, Book:

Chiang,AC. Fundamentals Methods of Mathematical Economics.FourthEdition.international Edition, McGraw Hill publication ,2005.Page No.2-4

 

2.

Economic models and equilibrium analysis. Book:

Chiang,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005.Page no.5-7.30-33

 

3.

Matrix algebra, Chiang,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005.Page No.82-105

 

4.

applications of derivatives Comparative static analysis in economics and economic model, ,Chiang,AC. Fundamentals Methods of Mathematical Economics.4thmmEdition. International Edition, McGraw Hill publication ,2005.Page No.170-175

 

5.

Derivatives of implicit functions,Chiang,AC. Fundamentals Methods of Mathematical Economics.3rdEdition. International Edition, McGraw Hill publication ,2005.

Page No.194-199.

 

6.

Optimization problems, Book: ,AC. Fundamentals Methods of Mathematical Economics.4thEdition. International Edition, McGraw Hill publication ,2005. Page No.220-221

 

7.

General Constrained Optimization, Book: ,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No.412-418

 

8.

Dynamic optimization and integration, Book: ,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..444-446

 

9.

MID Term Exam

 

10.

Dynamic optimization and integration, , Book: ,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..444-446

 

11.

Convexity and Optimization,Book.,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..364-367

 

12.

Multivariate Optimization, ,Book.,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..432-433

 

13.

Multivariate Optimization, ,Book.,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..432-433

 

 

14.

Mathematical Programming :the concept of Linear and Non Linear programming.Book.,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..623-629

 

15.

Mathematical Programming :the concept of Linear and Non Linear programming.Book.,AC. Fundamentals Methods of Mathematical Economics4thEdition.international Edition, McGraw Hill publication ,2005. Page No..623-629

 

16.

Mathematical Programming :the concept of Linear and Non Linear programming.Book.,AC. Fundamentals Methods of Mathematical Economics.4thEdition.international Edition, McGraw Hill publication ,2005. Page No..623-629

 

 

Final Term Exam

 

Course Material