Need and relevance of micro manufacturing – Size effects- Tool based –mechanical micro Machining (Microscale turning, milling, drilling, grinding etc.). Non-traditional micro machining: micro EDM, Micro ECM, Electron beam, ion beam and laser based micro machining Abrasive micro/nano finishing techniques (AFM, MAF, MRF, EEM, EAM etc.) and other recent advancements. Micro forming techniques: laser micro-bending, micro-deep drawing and Extrusion-Micro welding / joining techniques. Micro-fabrication using deposition techniques such as sputtering, CVD, ALD, LIGA etc.

Introduction – Formulation of optimization problems – Linear programming – duality - Non- linear programming – unconstrained optimization: optimality conditions, range elimination methods, gradient method, quasi-newton method, conjugate gradient method – Constrained optimization: Lagrange multiplier theorem, Kuhn Tucker condition, penalty function methods, projected gradient methods, Quadratic programming, sequential quadratic programming – Non-traditional optimization techniques for single and multi-objective optimization – Applications in Engineering.