Mathematical Methods

Paper Code: 
ECO 302
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

Course Objectives:

The objectives of this course are-

1. To develop an understanding of the mathematical tools used in economic analysis in the students.

2. To help the students to understand the concepts of matrices and determinants.

3. To acquaint the students with the knowledge of optimization in economic functions.

 

Course Outcomes (COs):

Course

 Outcome (at course level)

Learning and teaching strategies

Assessment Strategies 

Paper Code

Paper Title

ECO 302

Mathematical Methods

CO 20: Acquire knowledge of different mathematical tools.

CO 21: Apply the techniques of differentiation, matrices and determinants  etc for  economic analysis and optimizing functions.

 

Approach in teaching: Interactive Lectures and Discussions.

 

Learning activities for the students:

Practice Modules and

Assignments.

Class activity, Assignments and Semester end examinations.

 

9.00
Unit I: 
Basic Concepts
  • Exponents;
  • Linear Equations – slopes, intercepts & slope-intercept form;
  • Solving the Equations- Linear and Quadratic ;
  • Solving the system of Equations -Elimination and Substitution methods (Up to 2 variables).

 

9.00
Unit II: 
Differential Calculus I
  • Simple Differentiation involving – constant function rule, power function rule, rule of sum and differences, product rule, quotient rule, chain rule;
  • Higher Order Derivatives.

 

9.00
Unit III: 
Differential Calculus II
  • Relationship between Total, Marginal & Average functions;
  • Increasing and Decreasing functions;
  • Optimizing economic functions.

 

9.00
Unit IV: 
Matrix Algebra I
  • Types of Matrices;
  • Operations on Matrices;
  • Determinants(up to third order matrix);
  • Properties of Determinants;

 

9.00
Unit V: 
Matrix Algebra II
  • Solving linear equations by determinants-Cramer’s rule.
  • Minors and cofactors;
  • Adjoint and Inverse of Matrix;
  • Solving linear equations with an inverse matrix.

 

Essential Readings: 
  1. Dowling,E.T., Schaum’s Outlines, Mathematical Methods for Business And Economics, McGraw Hill.
  2. Mehta, B.C., and G.M.K. Madnani, Mathematics for Economists, Sultan Chand & Sons, New Delhi.

 

References: 
  1. Chiang, A.C., Fundamental Methods of Mathematical Economics (3 rd Edition),McGraw Hill, New Delhi

 

Academic Session: