Syllabus

Course Code: CC-5 IN-ECX-301    Course Name: Mathematics for Economics-I

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 (i-a)
Concepts of set, elementary set operations, laws of set operations, Number of elements in a set, applications of sets
(i-b)
Functions, limits & continuity: Types of functions, Factors, Substitution and rationalization Methods, continuity and discontinuity of functions;
2 (ii-a)
Matrices-types, addition, multiplication of Matrices, Inverse of matrix, Cramer’s rule and matrix inverse method,
(ii-b)
Applications of matrices in economics, Input-output analysis; more on matrices (vectors, quadratic forms, Eigen roots and Eigen vectors)
3 (iii-a)
Differentiation, simple derivatives, higher order derivatives of one variable, their economic applications. Partial total derivatives, double order partial derivative, economic applications;
(iii-b)
Maxima & minima of functions: necessary and sufficient conditions for functions, economic application of unconstrained & constrained maxima & Minima.
4 (iv-a)
Linear Programming: Graphical and Simplex method, Dual Problem in linear programming
(iv-b)
, Game Theory: odd moments method, principle of dominance & simplex method, Prisoner’s dilemma in game theory, concept of Nash Equilibrium.
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