Name of Subject  :  MATHEMATICS III  ( 3 IT 5)

Unit

Contents

Introduction: Engineering application of optimization, Statement and classification of optimization problem, single

I

variable and multivariable optimization with and without constraints.

Linear Programming: Formulation of Linear Programming problem, Graphical Approach, General Linear

II

Programming problem, Simple Method. Duality in Linear Programming and Transportation Problems.

Project Scheduling: Project Scheduling by PERT and CPM Network Analysis.

III

Sequencing Theory: General Sequencing problem n-jobs through 2 machines & 3 machines and 2-jobs through m

machine.

Transform Calculus – Laplace Transform with its simple properties, applications to the solution of ordinary and

IV

partial differential equation having constant coefficients with special reference to the wave and diffusion equation.

Fourier transforms and solution of particular differential equation with constant coefficient.

Numerical Methods – Solution of Algebraic and transcendental equations, interpolation- finite differences, inverse

V

interpolation, numerical differentiation and integration, numerical solution of differential equations and partial