# Advanced Mathematical Techniques in Chemical Engineering

IIT Kharagpur, , Prof. S. De

Updated On 02 Feb, 19

IIT Kharagpur, , Prof. S. De

Updated On 02 Feb, 19

Introduction of vector space;Metric, Norm, Inner Product space;Examples

Onto, into, one to one function, completeness of space

Vectors: Linear combination of vectors, dependent/independent vectors; Orthogonal and orthonormal vectors; Gram-Schmidt orthogonalization; Examples

Contraction Mapping: Definition; Applications in Chemical Engineering; Examples

Matrix, determinants and properties

Eigenvalue Problem:Various theorems; Solution of a set of algebraic equations; Solution of a set of ordinary differential equations; Solution of a set of non-homogeneous first order ordinary differential equations (IVPs)

Applications of eigenvalue problems: Stability analysis; Bifurcation theory; Examples

Partial Differential equations:Classification of equations; Boundary conditions;Principle of Linear superposition

Special ODEs and Adjoint operators:Properties of adjoint operator; Theorem for eigenvalues and eigenfunctions;

Solution of linear, homogeneous PDEs by separation of variables: Cartesian coordinate system & different classes of PDEs; Cylindrical coordinate system ; Spherical Coordinate system

Solution of non-homogeneous PDEs by Green's theorem

Solution of PDEs by Similarity solution method

Solution of PDEs by Integral method

Solution of PDEs by Laplace transformation

Solution of PDEs by Fourier transformation

- On-demand Videos
- Login & Track your progress
- Full Lifetime acesses

4.1 ( 11 )

Advanced Mathematical Techniques in Chemical Engineering by Prof. S. De, Department of Chemical Engineering, IIT Kharagpur. For more details on NPTEL visit httpnptel.iitm.ac.in

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.