Applied Mathematics In Chemical Engineering (1) a226h

CL 09

APPLIED MATHEMATICS IN CHEMICAL ENGINEERING

L 3

T 0

P 0

C 3

COURSE CONTENT Design of engineering experiments: Treatment of experimental data and interpretation of results. Experiments with a single factor: the analysis of variance. Factorial designs. Curve fitting methods, Interpolation and extrapolation. Formulation of physical problems: Mathematical modelling of chemical engineering processes based on first principles. Analytical solutions of equations: Separable forms, homogeneous equations, exact solutions, singular solutions. Numerical solution of non-linear equations: Linearization of nonlinear equations. Numerical solution of ordinary differential equations: Initial value and boundary value problems. Stiff differential equations. Numerical solution of partial differential equations. Optimization: Types of optimization problems, optimization of a function of single variable, unconstrained minimization, constrained minimization. TEXT BOOKS: 1. Douglas C. Montgomery, “Design and Analysis of Experiments” John Wiley, 8th Edition, 2012 2. Harold S. Mickley, Thomas S. Sherwood, Charles E. Reed, “Applied Mathematics in Chemical Engineering” Tata McGraw Hill Publishing Company Limited, Second Edition, 1975. 3. Richard G. Rice & Duong D. D, “Applied Mathematics and Modelling for Chemical Engineers” John Wiley & Sons, 1995. REFERENCES: 1. Mark E. Davis, “Numerical Methods and Modelling for Chemical Engineers”, John Wiley & Sons, 1984. 2. S. K. Gupta, “Numerical Techniques for Engineers", Wiley Eastern Ltd., New York, 1995.