Optimization in Chemical Engineering

Week 1  :  Introduction to Optimization(Statement of optimization problems, Classification of optimization problems,
  Examples from engineering applications, Review of linear algebra) 
Week 2  :   Optimization Problem Formulation (Models for optimization, Optimization problems in chemical/biochemical
  engineering) 
Week 3  :   Basic Concepts of Optimization – I (Continuity of functions, Unimodal and multimodal functions, Optimality
  criteria for unconstrained single variable functions) 
Week 4  :   Basic Concepts of Optimization – II (Optimality criteria for unconstrained multivariable functions, Equality
  constrained problems, Lagrange multipliers, Kuhn Tucker conditions) 
Week 5 : Unconstrained Single Variable Optimization: Methods and Applications (Region elimination methods, Methods
requiring derivatives: Newton-Raphson method, Bisection method, Secant method) 
Week 6  :   Unconstrained Multivariable Optimization: Direct Search Methods (Simplex method, Hooke-Jeeves pattern search
  method, Powell’s conjugate direction method) 
Week 7  :   Unconstrained Multivariable Optimization: Gradient Based Methods (Cauchy’s method, Newton’s method, Marquardt method)  

Week 8  :   Introduction to Linear Programming (Formulation of linear programming models, Graphical solution, Linear programs in standard form) 
Week 9  :   Linear Programming: The Simplex Method (Simplex method, Use of artificial variables, Two phase method) 
Week 10  :  Constrained Nonlinear Programming (Penalty function method, Lagrange multiplier method) 
Week 11  :  Applications of Optimization (Optimization of various chemical and biochemical processes) (MATLAB)
Week 12  :  Software Tools for Optimization (MS Excel Solver)

Thanks to the support from MathWorks, enrolled students have access to MATLAB for the duration of the course.