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Calculus and Differentiation
Calculus; Partial Derivatives upto second order; Homogeneity of functions and Euler's Theorem; Total Differentials; Differentiation of implicit function with the help of total differentials, Maxima and Minima; cases of one variable involving second or higher order derivatives; Cases of two variables involving not more than one constraint
Integration
Integration as anti derivative process; Standard forms; Methods of Integration- by substitution, by parts, by use of partial functions; Definite integration Finding areas in simple cases; consumer's and producer's surplus; Nature of Commodities Learning curve; Leontiff Input-Output Model
Matrices and Determinants
Definition of a matrix; types of matrices; Algebra of matrices Properties of determinants; calculations of values of determinants upto third order; Adjoint of a matrix, elementary row and column operations; solution of a system of linear equations having unique solution and involving not more than three variables
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