Introduction: Historical development, Engineering application of optimization, Formulation of design problems as a mathematical programming problems, Classification of optimization problems.
Linear Programming: Simplex methods, Revised simplex method, Duality in linear programming, post optimality analysis, Transportation and assignment problems.
Non Linear Programming: Unconstrained optimization techniques, Direct search methods, Descent methods, Constrained optimization, Direct and indirect methods.
Dynamic Programming: Introduction, multi-decision processes, computational procedure.

Suggested Books & Reference:

1. "Linear Programming". G. Haddley

2. "Optimization methods for engineering Design:. RL.Fox, Addision Wesley, USA.

3. "Mathematical Programming Technique", N.S.Kambo

4. "Optimization Theory and Application", S.S.Rao, Wiley Eastern, New Delhi.