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SYLLABUS

                                                     Mathematics for Economists

                Objectives
                    •   To aware of students the mathematical aspects of Economics.
                    •   To introduce the concept of interrelation and inter dependency of mathematical Economics.
                    •   To increase understanding of the application of the mathematical properties of Economics.
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                  Sr.                                          Content
                  No.

                   1     Types of Functions: constant function, polynomial functions, rational functions, non-
                         algebraic function, exponential function, log function, Limits & Continuity

                   2     Differentiation  :  Simple,  Logarithmic  differentiation,  Second  and  higher  order

                         differentiation
                   3     Differentiation:  Partial,  Homogeneous  function  and  Euler’s  theorem,  Economic

                         Applications of differentiation

                   4     Maxima  and  Minima  of  one  variable,  Maxima  and  Minima  of  two  variables,
                         Constrained Maxima and Minima, Economic Applications of Maxima and Minima

                   5     Integration  :  Basic  rules  of  integration,  Methods  of  integration,  Integration  as  a
                         summation, Definite Integration, Economic Applications of Integration

                   6     Differential Equations: Introduction, Solution – variable separable case, homogenous

                         case
                   7     Matrices : Meaning and types, Transpose, trace of a matrix, Adjoint and inverse of the

                         matrix,  Cramer’s  rule,  Determinants:  Types  and  properties,  Rank  of  a  matrix,
                         Application of matrices in economics

                   8     Input – Output analysis, Hawkins – Simon Conditions, Closed Economic Input – Output

                         analysis
                   9     Introduction to Linear Programming, Formulation of Linear programming problems,

                         Graphic methods

                  10     Linear Programming - Simplex methods
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