Advanced Engineering Mathematics

Advanced Engineering Mathematics

Ch 30 NIOS: Gyanamrit via YouTube Direct link

Applications of Fourier Transform to PDEs

19 of 36

19 of 36

Applications of Fourier Transform to PDEs

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Classroom Contents

Advanced Engineering Mathematics

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  1. 1 Analytic Functions, C-R Equations
  2. 2 Harmonic Functions
  3. 3 Line Integral in the Complex
  4. 4 Cauchy Integral Theorem
  5. 5 Cauchy Integral Theorem (Contd.)
  6. 6 Cauchy Integral Formula
  7. 7 Power and Taylor Series of Complex Numbers
  8. 8 Power and Taylor Series of Complex Numbers (Contd.)
  9. 9 Taylor's , Laurent Series of f(z) and Singularities
  10. 10 Classification of Singularities, Residue and Residue Theorem
  11. 11 Laplace Transform and its Existence
  12. 12 Properties of Laplace Transform
  13. 13 Evaluation of Laplace and Inverse Laplace Transform
  14. 14 S30 2072
  15. 15 Applications of Laplace Transform to PDEs
  16. 16 Fourier Series (Contd.)
  17. 17 Fourier Integral Representation of a Function
  18. 18 Introduction to Fourier Transform
  19. 19 Applications of Fourier Transform to PDEs
  20. 20 Laws of probability I
  21. 21 Laws of probability II
  22. 22 Problems in probability
  23. 23 Random variables
  24. 24 Special Discrete Distributions
  25. 25 Special Continuous distributions
  26. 26 Vector Spaces, Subspaces, Linearly Dependent / Independent of Vectors
  27. 27 Review Groups, Fields and Matrices
  28. 28 Basis, Dimension, Rank and Matrix Inverse
  29. 29 Jordan Canonical Form,Cayley Hamilton Theorem
  30. 30 Concept of Domain, Limit, Continuity and Differentiability
  31. 31 Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices
  32. 32 Spectrum of special matrices,positive/negative definite matrices
  33. 33 System of Linear Equations, Eigen values and Eigen vectors
  34. 34 Linear Transformation, Isomorphism and Matrix Representation
  35. 35 Orthogonality , Gram-Schmidt Orthogonalization Process
  36. 36 Inner Product Spaces, Cauchy - Schwarz Inequality

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