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I
Introduction:, Engineering application of optimization, Statement and
classification of optimization problem, single variable and multivariable
optimization with and without constraints.
II Linear Programming: Formulation of Linear Programming problem,
Graphical Approach, General Linear Programming problem, Simple Method.
Duality in Linear Programming and Transportation Problems.
III Project Scheduling: Project Scheduling by PERT and CPM Network
Analysis. Sequencing Theory: General Sequencing problem n-jobs through 2
machines & 3 machines and 2-jobs through m machine.
IV Transform Calculus – Laplace Transform with its simple
properties, applications to the solution of ordinary and 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.
V Numerical Methods – Solution of Algebraic and transcendental
equations, interpolation- finite differences, inverse interpolation,
numerical differentiation and integration, numerical solution of
differential equations and partial differential equations, solution of
difference equation.
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