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Advanced Mathematical Techniques in Chemical Engineering. Instructor: Prof. S. De, Department Of Chemical Engineering, IIT Kharagpur.
1138 years, 9 months
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This course deals with advanced mathematical methods in chemical engineering. Topics covered in this course include Introduction to vector space; Vectors; Contraction mapping; Matrix, Determinants and Properties; Eigenvalue and applications of eigenvalue problems; Partial differential equations; Special ordinary differential equations; Solution of linear, homogeneous PDEs by separation of variables; Solution of nonhomogeneous PDEs by Green's function; 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. (from nptel.ac.in)
Course Currilcum
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- Lecture 01 – Introduction to Vector Space Unlimited
- Lecture 02 – Introduction to Vector Space (cont.) Unlimited
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- Lecture 03 – Onto, Into, One to One Function Unlimited
- Lecture 04 – Vectors Unlimited
- Lecture 05 – Vectors (cont.) Unlimited
- Lecture 08 – Matrix, Determinant Unlimited
- Lecture 13 – Stability Analysis Unlimited
- Lecture 14 – Stability Analysis (cont.) Unlimited
- Lecture 15 – Stability Analysis (cont.) Unlimited
- Lecture 16 – More Examples Unlimited
- Lecture 20 – Special Ordinary Differential Equations Unlimited
- Lecture 21 – Adjoint Operators Unlimited
- Lecture 22 – Theorems of Eigenvalues and Eigenfunctions Unlimited
- Lecture 32 – Solution of Nonhomogeneous PDE Unlimited
- Lecture 33 – Solution of Nonhomogeneous PDE (cont.) Unlimited
- Lecture 34 – Solution of Nonhomogeneous Parabolic PDE Unlimited
- Lecture 35 – Solution of Nonhomogeneous Elliptic PDE Unlimited
- Lecture 36 – Solution of Nonhomogeneous Elliptic PDE (cont.) Unlimited
- Lecture 39 – Integral Method Unlimited
- Lecture 41 – Fourier Transform Unlimited
