NPTEL : Advanced Mathematical Techniques in Chemical Engineering (Chemical Engineering)

Co-ordinators : Prof. S. De


Lecture 1 - Introduction to vector space

Lecture 2 - Introduction to vector space (Continued...)

Lecture 3 - Onto, into, one to one function

Lecture 4 - Vectors

Lecture 5 - Vectors (Continued...)

Lecture 6 - Contraction Mapping

Lecture 7 - Contraction Mapping (Continued...)

Lecture 8 - Matrix, Determinant

Lecture 9 - Eigenvalue Problem in Discrete Domain

Lecture 10 - Eigenvalue Problem in Discrete Domain (Continued...)

Lecture 11 - Eigenvalue Problem in Discrete Domain (Continued...)

Lecture 12 - Eigenvalue Problem in Discrete Domain (Continued...)

Lecture 13 - Stability Analysis

Lecture 14 - Stability Analysis (Continued...)

Lecture 15 - Stability Analysis (Continued...)

Lecture 16 - More Examples

Lecture 17 - Partial Differential Equations

Lecture 18 - Partial Differential Equations (Continued...)

Lecture 19 - Eigenvalue Problem in Continuous Domain

Lecture 20 - Special ODEs

Lecture 21 - Adjoint Operator

Lecture 22 - Theorems of Eigenvalues and Eigenfunction

Lecture 23 - Solution PDE : Separation of Variables Method

Lecture 24 - Solution of Parabolic PDE : Separation of variables method

Lecture 25 - Solution of Parabolic PDE : Separation of Variables Method (Continued...)

Lecture 26 - Solution of Higher Dimensional PDEs

Lecture 27 - Solution of Higher Dimensional PDEs (Continued...)

Lecture 28 - Four Dimensional Parabolic PDE

Lecture 29 - Solution of Elliptic and Hyperbolic PDE

Lecture 30 - Solution of Elliptic and Hyperbolic PDE (Continued...)

Lecture 31 - PDE in Cylindrical and Spherical Coordinate

Lecture 32 - Solution of non-homogeneous PDE

Lecture 33 - Solution of non-homogeneous PDE (Continued...)

Lecture 34 - Solution of non-homogeneous Parabolic PDE

Lecture 35 - Solution of non-homogeneous Elliptic PDE

Lecture 36 - Solution of non-homogeneous Elliptic PDE (Continued...)

Lecture 37 - Similarity Solution

Lecture 38 - Similarity Solution (Continued...)

Lecture 39 - Integral Method

Lecture 40 - Laplace Transform

Lecture 41 - Fourier Transform