Final Question Paper : 2021 , 2022, 2023
Course Will start from 22nd February, 2024
Course Completed on 6th July,2024
Internal Exam Answerscript submission Link=24/05/24
Syllabus
1. Determinants and Matrices:
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– Technique of solving Simultaneous Equations by Inverse matrix method and Cramer’s Rule- Bordered Hessian Determinant
Lecture - 1 - Matrix Introduction - Youtube Video Link , Reading , Question set 1 , Sol 1 , Notes , Practice set1 ,Question set 2.1 , Sol 2.1
Lecture 2 - Finding out Determinants of Matrices. - Youtube Video link , Question set 2.2 with solution
Lecture 3 - Finding the Inverse of a Matrix - Youtube Video Link , Question set 2.3 , Solution 2.3
Lecture -4 Solving System of Linear equation using Inverse Matrix method - Youtube Link , Question set 3., Solution set 3
Lecture -5 Solving System of Linear equation using Cramer's Rule - Youtube Video Link , Question set 4 (same as Question set 3), Question set 4.1
Lecture- 6 Solving System of Equation Using three methods
Lecture- 7 Bordered hessian determinant
Class task Unit-1 : Complete Class and Video notes, Question set 1, 2.1, 2.2, 2.3, 3, 4, 4.1- submission Link - Submit by 9th March, 10 pm
2. Input – Output Analysis:
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
Lecture 2.2 - Leonteif I-O Analysis with Price System and Numerical - Video
Question set-5 , Question set - 6 , Question set - 7
Class task 2.1 Video lecture Notes Submission by 10th March, 10 pm
Class test 2 - 28th March,24 , Submission Link
3. Linear Programming:
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
4. Basic Game Theory
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.
Submission Link - 07/07/24, 10 pm
Lecture 3.1 Zero Sum Game Video
Lecture 3.4 Sub-game Perfect Nash Equilibrium
Suggested Readings:
1 . W. J .Baumol : Economic Theory and Operation Analysis, Prentice Hall.
2. Drofman , Samuelson and Solow : Linear Programming and Game Theory : An Economic Analysis
3. N. D . Vora : Quantitative Techniques in Management, Tata McGraw Hill.
4. Sharma : Operation Research , Theory and Applications, Macmillan India Ltd.
5. Taro Yamane : Mathematics for Economist- An Elementary Survey.