## 2016-07-20

### Advanced Mathematical Techniques in Chemical Engineering by S. De (IIT Kharagpur)

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source: nptelhrd 2013年1月8日
Chemical-Advanced Mathematical Techniques in Chemical Engineering by Prof. S. De, Department of Chemical Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Lec-01 Introduction to vector space 56:36
Lec-02 Introduction to vector space (Contd.) 54:49
Lec-03 Onto, into, one to one function 57:02
Lec-04 Vectors 52:27
Lec-05 Vectors (Contd.) 54:03
Lec-06 Contraction Mapping 57:48
Lec-07 Contraction Mapping (Contd.) 57:54
Lec-08 Matrix, Determinant 55:10
Lec-09 Eigenvalue Problem in Discrete Domain 55:09
Lec-10 Eigenvalue Problem in Discrete Domain (Contd.) 53:40
Lec 11 Eigenvalue Problem in Discrete Domain (Contd.) 56:39
Lec-12 Eigenvalue Problem in Discrete Domain (Contd.) 55:43
Lec-13 Stability Analysis 52:28
Lec-14 Stability Analysis (Contd.) 57:01
Lec-15 Stability Analysis (Contd.) 57:34
Lec-16 More Examples 55:08
Lec-17 Partial Differential Equations 55:45
Lec-18 Partial Differential Equations(Contd.) 55:33
Lec-19 Eigenvalue Problem in Continuous Domain 53:54
Lec 20 Special ODEs 52:17
Lec-22 Theorems of Eigenvalues and Eigenfunction 57:07
Lec-23 Solution PDE : Separation of Variables Method 55:45
Lec-24 Solution of Parabolic PDE : Separation of variables method 53:07
Lec-25 Solution of Parabolic PDE : Separation of Variables Method (Contd.) 57:37
Lec-26 Solution of Higher Dimensional PDEs 54:12
Lec-27 Solution of Higher Dimensional PDEs (Contd.) 55:52
Lec-28 Four Dimensional Parabolic PDE 52:39
Lec-29 Solution of Elliptic and Hyperbolic PDE 54:05
Lec-30 Solution of Elliptic and Hyperbolic PDE (Contd.) 56:05
Lec-31 PDE in Cylindrical and Spherical Coordinate 52:43
Lec-32 Solution of non-homogeneous PDE 54:24
Lec-33 Solution of non-homogeneous PDE (Contd.) 52:10
Lec-34 Solution of non-homogeneous Parabolic PDE 56:40
Lec-35 Solution of non-homogeneous Elliptic PDE 56:37
Lec-36 Solution of non-homogeneous Elliptic PDE (Contd.) 54:59
Lec-37 Similarity Solution 52:38
Lec-38 Similarity Solution (Contd.) 57:01
Lec-39 Integral Method 53:41
Lec-40 Laplace Transform 55:40
Lec-41 Fourier Transform 55:42
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