Course Name: CH5520 : Mathematical Methods for Chemical Engineers

Description: Review of Matrix Algebra? Solvability conditions for systems of linear algebraic equations. Vector Algebra? Linear independence, Norm and Inner Product? Linear Operators, Adjoint of an operator, Self-adjoint operators. Transformations under change of basis, eigen values and eigen vectors. Applications to solution of systems of linear algebraic equations and systems of first order ordinary differential equations (ODEs). Stability analysis? Examples from reaction engineering, process control etc. Second order linear ODEs, Sturm Liouville Operators, Spectral expansion, Special functions. Inverse of second order operators and Green?s function. Second order linear partial differential equations (PDEs): Classification, canonical forms. Solution methods for hyperbolic, elliptic and parabolic equations: Eigenfunction expansion, separation of variables, transform methods. Numerical solution of linear and nonlinear algebraic equations, Gauss elimination methods, LU decomposition, Newton-Raphson method? Finite differ

Slot: C

RoomNo: MSB235

Instructor: Tanmay Basak

Period: JUL-NOV 2013

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