1. INTRODUCTION: Introduction, Engineering application of optimization, statement of an optimization, problem, classification of optimization problems.

2. CLASSIFICATION OPTIMIZATION TECHNIQUES: Single variable and multivariable optimization with and without constraints.

3. LINEAR PROGRAMMING: Single and multivariable optimazation. Graphical interpretation pivotat reduction of general systems of equations. Simplex method.

4. NON_LINEAR PROGRAMMING: Unimodel function quadratic inerpolation method Unconstrained Optimization techniques:Direct search method,random search method,univariate method and pattern search method. Basic idea of Hooks & Heaves, Simplex powell and Newton methods. Constrained Optimization:Characteristics of constrained problem. The complex method,method of feasible directions, transformation techniques. Interior penalty function and exterior penalty function method.

RECOMMENDED BOOKS:

1. H.A Taha:Operation Research an Introduction, Macmillan Co.

2. S.S Rao:Optimization theory and application,wiley eastern limited

3. L R Foulds:Optimization Techniques an Introduction.

4. A L Fox:Optimization methods for engineering Design,Addison wesley,1972.

5. A O Converse:Optimization, Holt Rinchort Inc, 1970