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Course10310510641 lectures

Advanced Mathematical Techniques in Chemical Engineering

Prof. S. De · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

Introduction of vector space

  1. Introduction to vector space Video
  2. Introduction to vector space (Contd.) Video

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

  1. Onto, into, one to one function Video

Vectors

  1. Vectors Video
  2. Vectors (Contd.) Video

Contraction Mapping

  1. Contraction Mapping Video
  2. Contraction Mapping (Contd.) Video

Matrix, determinants and properties

  1. Matrix, Determinant Video

Eigenvalue Problem

  1. Eigenvalue Problem in Discrete Domain Video
  2. Eigenvalue Problem in Discrete Domain (Contd.) Video
  3. Eigenvalue Problem in Discrete Domain (Contd.) Video
  4. Eigenvalue Problem in Discrete Domain (Contd.) Video

Applications of eigenvalue problems

  1. Stability Analysis Video
  2. Stability Analysis (Contd.) Video
  3. Stability Analysis (Contd.) Video
  4. More Examples Video

Partial Differential equations

  1. Partial Differential Equations Video
  2. Partial Differential Equations(Contd.) Video
  3. Eigenvalue Problem in Continuous Domain Video

Special ODEs and Adjoint operators

  1. Special ODEs Video
  2. Adjoint Operator Video
  3. Theorems of Eigenvalues and Eigenfunction Video

Solution of linear, homogeneous PDEs by separation of variables

  1. Solution PDE : Separation of Variables Method Video
  2. Solution of Parabolic PDE : Separation of variables method Video
  3. Solution of Parabolic PDE : Separation of Variables Method (Contd.) Video
  4. Solution of Higher Dimensional PDEs Video
  5. Solution of Higher Dimensional PDEs (Contd.) Video
  6. Four Dimensional Parabolic PDE Video
  7. Solution of Elliptic and Hyperbolic PDE Video
  8. Solution of Elliptic and Hyperbolic PDE (Contd.) Video
  9. PDE in Cylindrical and Spherical Coordinate Video

Solution of non-homogeneous PDEs by Green’s function

  1. Solution of non-homogeneous PDE Video
  2. Solution of non-homogeneous PDE (Contd.) Video
  3. Solution of non-homogeneous Parabolic PDE Video
  4. Solution of non-homogeneous Elliptic PDE Video
  5. Solution of non-homogeneous Elliptic PDE (Contd.) Video

Solution of PDEs by Similarity solution method

  1. Similarity Solution Video
  2. Similarity Solution (Contd.) Video

Solution of PDEs by Integral method

  1. Integral Method Video

Solution of PDEs by Laplace transformation

  1. Laplace Transform Video

Solution of PDEs by Fourier transformation

  1. Fourier Transform Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Chemical Engineering
Teacher
Prof. S. De
Level
Undergraduate
Language
English
Subjects
Chemistry, Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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