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September 23, 2023

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Description

Advanced Mathematical Techniques in Chemical Engineering. Instructor: Prof. S. De, Department Of Chemical Engineering, IIT Kharagpur.

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 Curriculum

    • Lecture 01 – Introduction to Vector Space Unlimited
    • Lecture 02 – Introduction to Vector Space (cont.) Unlimited
    • Lecture 03 – Onto, Into, One to One Function Unlimited
    • Lecture 04 – Vectors Unlimited
    • Lecture 05 – Vectors (cont.) Unlimited
    • Lecture 06 – Contraction Mapping Unlimited
    • Lecture 07 – Contraction Mapping (cont.) Unlimited
    • Lecture 08 – Matrix, Determinant Unlimited
    • Lecture 09 – Eigenvalue Problem in Discrete Domain Unlimited
    • Lecture 10 – Eigenvalue Problem in Discrete Domain (cont.) Unlimited
    • Lecture 11 – Eigenvalue Problem in Discrete Domain (cont.) Unlimited
    • Lecture 12 – Eigenvalue Problem in Discrete Domain (cont.) Unlimited
    • Lecture 13 – Stability Analysis Unlimited
    • Lecture 14 – Stability Analysis (cont.) Unlimited
    • Lecture 15 – Stability Analysis (cont.) Unlimited
    • Lecture 16 – More Examples Unlimited
    • Lecture 17 – Partial Differential Equations Unlimited
    • Lecture 18 – Partial Differential Equations (cont.) Unlimited
    • Lecture 19 – Eigenvalue Problem in Continuous Domain Unlimited
    • Lecture 20 – Special Ordinary Differential Equations Unlimited
    • Lecture 21 – Adjoint Operators Unlimited
    • Lecture 22 – Theorems of Eigenvalues and Eigenfunctions Unlimited
    • Lecture 23 – Solution of PDE: Separation of Variables Method Unlimited
    • Lecture 24 – Solution of Parabolic PDE: Separation of Variables Method Unlimited
    • Lecture 25 – Solution of Parabolic PDE: Separation of Variables Method (cont.) Unlimited
    • Lecture 26 – Solution of Higher Dimensional PDEs Unlimited
    • Lecture 27 – Solution of Higher Dimensional PDEs (cont.) Unlimited
    • Lecture 28 – Four Dimensional Parabolic PDE Unlimited
    • Lecture 29 – Solution of Elliptic and Hyperbolic PDE Unlimited
    • Lecture 30 – Solution of Elliptic and Hyperbolic PDE (cont.) Unlimited
    • Lecture 31 – PDE in Cylindrical and Spherical Coordinates 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 37 – Similarity Solution Unlimited
    • Lecture 38 – Similarity Solution (cont.) Unlimited
    • Lecture 39 – Integral Method Unlimited
    • Lecture 40 – Laplace Transform Unlimited
    • Lecture 41 – Fourier Transform Unlimited

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