# InfoCoBuild

## Advanced Mathematical Techniques in Chemical Engineering

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)

 Introduction to Vector Space

 Introduction to Vector Space Lecture 01 - Introduction to Vector Space Lecture 02 - Introduction to Vector Space (cont.) Onto, Into, One to One function, Completeness Space Lecture 03 - Onto, Into, One to One Function Vectors Lecture 04 - Vectors Lecture 05 - Vectors (cont.) Contraction Mapping Lecture 06 - Contraction Mapping Lecture 07 - Contraction Mapping (cont.) Matrix, Determinants and Properties Lecture 08 - Matrix, Determinant Eigenvalue Problem Lecture 09 - Eigenvalue Problem in Discrete Domain Lecture 10 - Eigenvalue Problem in Discrete Domain (cont.) Lecture 11 - Eigenvalue Problem in Discrete Domain (cont.) Lecture 12 - Eigenvalue Problem in Discrete Domain (cont.) Applications of Eigenvalue Problems Lecture 13 - Stability Analysis Lecture 14 - Stability Analysis (cont.) Lecture 15 - Stability Analysis (cont.) Lecture 16 - More Examples Partial Differential Equations Lecture 17 - Partial Differential Equations Lecture 18 - Partial Differential Equations (cont.) Lecture 19 - Eigenvalue Problem in Continuous Domain Special Ordinary Differential Equations and Adjoint Operators Lecture 20 - Special Ordinary Differential Equations Lecture 21 - Adjoint Operators Lecture 22 - Theorems of Eigenvalues and Eigenfunctions Solution of Linear, Homogeneous PDEs by Separation of Variables Lecture 23 - Solution of PDE: Separation of Variables Method Lecture 24 - Solution of Parabolic PDE: Separation of Variables Method Lecture 25 - Solution of Parabolic PDE: Separation of Variables Method (cont.) Lecture 26 - Solution of Higher Dimensional PDEs Lecture 27 - Solution of Higher Dimensional PDEs (cont.) Lecture 28 - Four Dimensional Parabolic PDE Lecture 29 - Solution of Elliptic and Hyperbolic PDE Lecture 30 - Solution of Elliptic and Hyperbolic PDE (cont.) Lecture 31 - PDE in Cylindrical and Spherical Coordinates Solution of Nonhomogeneous PDEs by Green's Function Lecture 32 - Solution of Nonhomogeneous PDE Lecture 33 - Solution of Nonhomogeneous PDE (cont.) Lecture 34 - Solution of Nonhomogeneous Parabolic PDE Lecture 35 - Solution of Nonhomogeneous Elliptic PDE Lecture 36 - Solution of Nonhomogeneous Elliptic PDE (cont.) Solution of PDEs by Similarity Solution Method Lecture 37 - Similarity Solution Lecture 38 - Similarity Solution (cont.) Solution of PDEs by Integral Method Lecture 39 - Integral Method Solution of PDEs by Laplace Transformation Lecture 40 - Laplace Transform Solution of PDEs by Fourier Transformation Lecture 41 - Fourier Transform

 References 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.