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The exhaustive list of topics in Advanced Mathematical Techniques in Chemical Engineering in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Vector space Metric, Norm
  • Inner Product space Examples
  • Onto, into, one to one function, completeness of space     
  • Vectors
    • Linear combination of vectors, dependent/independent vectors
    • Orthogonal and orthonormal vectors
    • Gram-Schmidt orthogonalization
    • Examples
    • Contraction Mapping
    • Definition
    • Applications in Chemical Engineering
    • Gram-Schmidt orthogonalization
    • Examples
  • Matrix, determinants and properties
  • Eigenvalue Problem
  • Various theorems
  • Solution of a set of algebraic equations
  • Solution of a set of ordinary differential equations
  • Solution of a set of non-homogeneous first order ordinary differential equation
  • (IVPs)
  • Applications of eigenvalue problems
  • Stability analysis
  • Bifurcation theory
  • Examples
  • Partial Differential equations
  • Classification of equations
  • Boundary conditions
  • Principle of Linear superposition
  • Special ODEs and Adjoint operators
  • Properties of adjoint operator
  • Theorem for eigenvalues and eigenfunctions
  • Solution of linear, homogeneous PDEs by separation of variables
  • Cartesian coordinate system & different classes of PDEs
  • Cylindrical coordinate system
  • Spherical Coordinate system
  • Solution of non-homogeneous PDEs by Green's theorem
  • 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