Internal evaluation -
First Criteria Assignment marks for each units - 1 marks × 4 unit = 4 marks Final Internal exam Subjective/Objectives will be decided later on - 6 marks
2nd Criteria Assignment marks for each units - 1 marks × 4 unit = 4 marks Final Internal exam Subjective/Objectives will be decided later on - 4 marks Attendance 75 percent- 2 marks.
Incentive marks. 1. Participation in Social -- 1 to 2 marks. 2. 1 to 4 marks for Certificate course. Those completing it successfully will get 4 marks.
Course Starting Date 18th April
Completed on 8th July,2022
Syllabus
Concepts of Scalar, Vector and Matrices –– Some specific Matrices: Diagonal, Triangular, Identity, Null , Symmetric, Idempotent – Matrix operations ; Addition, Subtraction and Multiplication of Matrices – Transpose and Inverse of Matrices- Determinants-Minor and Cofactor- Properties of Determinants- Bordered Hessian Determinant – Technique of solving Simultaneous Equations by Cramer’s Rule.
Lecture - 1 - Matrix Introduction - Youtube Video Link , Reading , Question set 1 , Practice set1 ,Question set 2.1
Lecture 2 - Finding out Determinants of Matrices. - Youtube Video link , Question set 2.2
Lecture 3 - Finding the Inverse of a Matrix - Youtube Video Link , Question set 2.3
Lecture -4 Solving System of Linear equation using Inverse Matrix method - Youtube Link , Question set 2.4., Solution set 2.4
Lecture -5 Solving System of Linear equation using Cramer's Rule - Youtube Video Link, Question set 2.5(do all problem of Question set 2.4 using Cramer's Rule), Question set 4
Lecture- 6 Gaussian Elimination Method, Solving System of Equation Using three methods
Lecture 7 -Bordered Hessian Determinant
Unit 1 Complete Submission date 4th May, 10 am (No extension)
Submission - Class task 1.1 , Class task 1.2, Class task 1.3, Complete Unit 1
Basic Concept of Input-Output Analysis – Assumptions and structure of the Leontief Static Open Model (2 ×2 Case) – Solution in such a Model – Hawkins – Simon condition and its Economic Interpretation – Price System in LSOM (2×2 Case) with Economic Implications.
Lecture 2.1 -Leontief 2x2 Input Output Analysis -Video
Submission - Class task 3.1, Class task 3.2
Basic Concepts and Assumptions of Game Theory – Two Person – Zero – Sum Game with and without Saddle Point – Concept of Dominance – Elements of Non – Zero – Sum Game – Prisoner’s Dilemma – Concept of Dominant Strategy equilibrium and Nash Equilibrium – Sub-game Perfect Nash Equilibrium- Applications.
Linear Programming Technique as a Tool of optimization – General Formulation of the LP Problem – Applications in Economics – Graphical solution of some standard problems (Maximization and Minimization) – Concepts of Slack Variable, Basic Feasible Solution. Solution of some simple problems by Simplex Method (Maximization case only)- The Dual problem – Economic Interpretation of Duality.
Conversion of Primal to Dual Problem-video
Simplex method maximization 1-Reading
Simplex method maximization 2- Reading
Simplex method-Maximization -video - Notes
Simplex method -Maximization - video2 - Notes
The Dual problem – Economic Interpretation of Duality- Notes
References/ Suggested Readings
1. Sydsaeter and Hammond: Mathematics for Economic Analysis, 1st Edition, Pearson India.
2. Chiang, A.C. & Wainwright, K: Fundamental Methods of Mathematical Economics, 4th Edition, McGraw Hill Education (India) Private Limited.
3. W. J. Baumol: Economic Theory and Operation Analysis, 4th Edition, Pearson Education India.
4. Drofman, Samuelson and Solow: Linear Programming and Economic Analysis, Dover Publications Inc.
5. N. D. Vora: Quantitative Techniques in Management, 5th Edition,Tata McGraw Hill.
6. J.K Sharma: Operation Research-Theory and Applications, 6th Edition, Macmillan India Ltd.
7. Suranjan Saha and Sampat Mukherjee: Quantitative Methods, 5th Edition, New Central Book Agency (P) Ltd.
8. J.G. Chakraborty & P. R. Ghosh: Linear Programming & Game Theory, 14th Edition, Moulik Library.
9. R. S. Pindyck and D. N. Rubinfeld : Microeconomics, 8th Edition, Chapter-13 Game theory and Competitive Strategy, Pearson India.