Chemical - Advanced Mathematical Techniques in Chemical Engg (English)

   Wednesday, March 26, 2025   

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Lecture 1: Mod-01 Lec-01 Introduction to vector space

Lecture 2: Mod-01 Lec-02 Introduction to vector space (Contd.)

Lecture 3: Mod-02 Lec-03 Onto, into, one to one function

Lecture 4: Mod-03 Lec-04 Vectors

Lecture 5: Mod-03 Lec-05 Vectors (Contd.)

Lecture 6: Mod-04 Lec-06 Contraction Mapping

Lecture 7: Mod-04 Lec-07 Contraction Mapping (Contd.)

Lecture 8: Mod-05 Lec-08 Matrix, Determinant

Lecture 9: Mod-06 Lec-09 Eigenvalue Problem in Discrete Domain

Lecture 10: Mod-06 Lec-10 Eigenvalue Problem in Discrete Domain (Contd.)

Lecture 11: Mod-06 Lec 11 Eigenvalue Problem in Discrete Domain (Contd.)

Lecture 12: Mod-06 Lec-12 Eigenvalue Problem in Discrete Domain (Contd.)

Lecture 13: Mod-07 Lec-13 Stability Analysis

Lecture 14: Mod-07 Lec-14 Stability Analysis (Contd.)

Lecture 15: Mod-07 Lec-15 Stability Analysis (Contd.)

Lecture 16: Mod-07 Lec-16 More Examples

Lecture 17: Mod-08 Lec-17 Partial Differential Equations

Lecture 18: Mod-08 Lec-18 Partial Differential Equations(Contd.)

Lecture 19: Mod-08 Lec-19 Eigenvalue Problem in Continuous Domain

Lecture 20: Mod-09 Lec 20 Special ODEs

Lecture 21: Mod-09 Lec-21 Adjoint Operator

Lecture 22: Mod-09 Lec-22 Theorems of Eigenvalues and Eigenfunction

Lecture 23: Mod-10 Lec-23 Solution PDE : Separation of Variables Method

Lecture 24: Mod-10 Lec-24 Solution of Parabolic PDE : Separation of variables method

Lecture 25: Mod-10 Lec-25 Solution of Parabolic PDE : Separation of Variables Method (Contd.)

Lecture 26: Mod-10 Lec-26 Solution of Higher Dimensional PDEs

Lecture 27: Mod-10 Lec-27 Solution of Higher Dimensional PDEs (Contd.)

Lecture 28: Mod-10 Lec-28 Four Dimensional Parabolic PDE

Lecture 29: Mod-10 Lec-29 Solution of Elliptic and Hyperbolic PDE

Lecture 30: Mod-10 Lec-30 Solution of Elliptic and Hyperbolic PDE (Contd.)

Lecture 31: Mod-10 Lec-31 PDE in Cylindrical and Spherical Coordinate

Lecture 32: Mod-11 Lec-32 Solution of non-homogeneous PDE

Lecture 33: Mod-11 Lec-33 Solution of non-homogeneous PDE (Contd.)

Lecture 34: Mod-11 Lec-34 Solution of non-homogeneous Parabolic PDE

Lecture 35: Mod-11 Lec-35 Solution of non-homogeneous Elliptic PDE

Lecture 36: Mod-12 Lec-36 Solution of non-homogeneous Elliptic PDE (Contd.)

Lecture 37: Mod-12 Lec-37 Similarity Solution

Lecture 38: Mod-12 Lec-38 Similarity Solution (Contd.)

Lecture 39: Mod-13 Lec-39 Integral Method

Lecture 40: Mod-15 Lec-40 Laplace Transform

Lecture 41: Mod-15 Lec-41 Fourier Transform