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Course Description

A pure chemical compound is a chemical substance that is composed of a particular set of molecules or ions. Two or more elements combined into one substance through a chemical reaction form a chemical compound. All compounds are substances, but not all substances are compounds.

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Course Syllabus
  • Mod-01 Lec-01 Introduction to vector space
  • Mod-01 Lec-02 Introduction to vector space (Contd.)
  • Mod-02 Lec-03 Onto, into, one to one function
  • Mod-03 Lec-04 Vectors
  • Mod-03 Lec-05 Vectors (Contd.)
  • Mod-04 Lec-06 Contraction Mapping
  • Mod-04 Lec-07 Contraction Mapping (Contd.)
  • Mod-05 Lec-08 Matrix, Determinant
  • Mod-06 Lec-09 Eigenvalue Problem in Discrete Domain
  • Mod-06 Lec-10 Eigenvalue Problem in Discrete Domain (Contd.)
  • Mod-06 Lec 11 Eigenvalue Problem in Discrete Domain (Contd.)
  • Mod-06 Lec-12 Eigenvalue Problem in Discrete Domain (Contd.)
  • Mod-07 Lec-13 Stability Analysis
  • Mod-07 Lec-14 Stability Analysis (Contd.)
  • Mod-07 Lec-15 Stability Analysis (Contd.)
  • Mod-07 Lec-16 More Examples
  • Mod-08 Lec-17 Partial Differential Equations
  • Mod-08 Lec-18 Partial Differential Equations(Contd.)
  • Mod-08 Lec-19 Eigenvalue Problem in Continuous Domain
  • Mod-09 Lec 20 Special ODEs
  • Mod-09 Lec-21 Adjoint Operator
  • Mod-09 Lec-22 Theorems of Eigenvalues and Eigenfunction
  • Mod-10 Lec-23 Solution PDE : Separation of Variables Method
  • Mod-10 Lec-24 Solution of Parabolic PDE : Separation of variables method
  • Mod-10 Lec-25 Solution of Parabolic PDE : Separation of Variables Method (Contd.)
  • Mod-10 Lec-26 Solution of Higher Dimensional PDEs
  • Mod-10 Lec-27 Solution of Higher Dimensional PDEs (Contd.)
  • Mod-10 Lec-28 Four Dimensional Parabolic PDE
  • Mod-10 Lec-29 Solution of Elliptic and Hyperbolic PDE
  • Mod-10 Lec-30 Solution of Elliptic and Hyperbolic PDE (Contd.)
  • Mod-10 Lec-31 PDE in Cylindrical and Spherical Coordinate
  • Mod-11 Lec-32 Solution of non-homogeneous PDE
  • Mod-11 Lec-33 Solution of non-homogeneous PDE (Contd.)
  • Mod-11 Lec-34 Solution of non-homogeneous Parabolic PDE
  • Mod-11 Lec-35 Solution of non-homogeneous Elliptic PDE
  • Mod-12 Lec-36 Solution of non-homogeneous Elliptic PDE (Contd.)
  • Mod-12 Lec-37 Similarity Solution
  • Mod-12 Lec-38 Similarity Solution (Contd.)
  • Mod-13 Lec-39 Integral Method
  • Mod-15 Lec-40 Laplace Transform
  • Mod-15 Lec-41 Fourier Transform
  • Mod-01 Lec-01
  • Mod-01 Lec-02
  • Mod-01 Lec-03
  • Mod-01 Lec-04
  • Mod-01 Lec-05
  • Mod-01 Lec-15
  • Mod-01 Lec-16
  • Mod-01 Lec-17
  • Mod-01 Lec-18
  • Mod-01 Lec-19
  • Mod-01 Lec-20
  • Mod-01 Lec-30
  • Mod-01 Lec-31
  • Mod-01 Lec-32
  • Mod-01 Lec-33
  • Mod-01 Lec-34
  • Mod-01 Lec-35
  • Mod-01 Lec-39
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