Course Details
Subject {L-T-P / C} : CH3311 : Chemical Engineering Mathematics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Basudeb Munshi
Syllabus
Module1: Function approximation
Linear regression, Newton’s interpolation formulae, Newton’s divided difference interpolation formulae, Lagrangian interpolation formulae, Differentiation formulae, and Quadrature. 12 lecture hours.
Module 2: Ordinary differential equations: initial value problem
Explicit method, implicit method, multistep integration method, predictor-corrector technique, Runge-Kutta method, stability analysis, Gear’s technique, and ODE-IVP with coupled algebraic equations. 10 lecturers.
Module 3: Ordinary differential equations: boundary value problem
Finite difference technique, orthogonal collocation, orthogonal collocation on finite elements, Galerkin finite element technique, shooting techniques. 10 lecture hours
Module 4: Partial differential equations
Finite difference technique, method of lines, alternate direction technique, Galerkin finite element technique. 8 lecture hours
Course Objectives
- To teach students different data handling mathematical techniques
- To teach students the solution methods of ordinary differential equations related to chemical engineering systems.
- To teach students the solution methods of partial differential equations related to chemical engineering systems.
Course Outcomes
CO1: to use numerical methods to solve various chemical engineering problems. <br />CO2: to solve complex engineering problems. <br />CO3: to analyze input-output data of the different chemical engineering processes. <br />CO4: to select the proper initial and boundary conditions to solve the partial differential equations which represent the physical system. <br />CO5: to apply the chemical engineering mathematics knowledge in his/her academic and professional project work.
Essential Reading
- S. K. Gupta, Numerical Methods for Engineers,, New Age International Publishers , 2003
- W. L. Norman, Applied Mathematical Methods for Chemical Engineers, CRC Press , 3rd Edition, 2015
Supplementary Reading
- S. Pushpavanam, Mathematical Methods in Chemical Engineering,, Prentice Halls , 2004
- C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers I Asymptotic Methods and Perturbation Theory, Springer , 9th edition, 1999