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Course12210703739 lectures

Mathematics III

Dr. Tanuja Srivastava and Prof. P.N. Agrawal · IIT Roorkee

Start with lecture 1 At NPTEL

Lectures

Module1

  1. Solution of ODE of First Order and First Degree Video
  2. Linear Differential Equations of the First Order Video
  3. Approximate Solution of An Initial Value Video
  4. Series Solution of Homogeneous Linear I Video
  5. Series Solution of Homogeneous Linear II Video
  6. Bessel Functions and Their Properties Video
  7. Bessel Functions And Their Properties Contd.. Video
  8. Laplace Transformation Video
  9. Laplace Transformation contd.. Video
  10. Applications Of Laplace Transformation Video
  11. Applications Of Laplace Transformation Contd. Video
  12. One Dimensional Wave Equation Video
  13. One Dimensional Heat Equation Video

Module2

  1. Introduction to Differential Equation Video
  2. First Order Differential Equations and Their Geometric Interpretation Video
  3. Differential Equations of First Order Higher Degree Video
  4. Linear Differential Equation of Second Order-Part - 1 Video
  5. Linear Differential equation of Second Order-Part - 2 Video
  6. Euler-Cauchy Theorem Video
  7. Higher Order Linear Differential Equations Video
  8. Higher Order Non homogeneous Linear Equations Video
  9. Boundary Value Problems Video
  10. Strum Liouville boundary Value Problem Video
  11. Fourier Series-Part - 1 Video
  12. Fourier Series-Part - 2 Video
  13. Convergence of the Fourier Series Video
  14. Fourier Integrals Video
  15. Fourier Transforms Video
  16. Partial Differential Equation Video
  17. First Order Partial Differential Equation Video
  18. Second Order Partial Differential Equations - I Video
  19. Second Order Partial Differential Equations - II Video
  20. Solution of One Dimensional Wave Equation Video
  21. Solution of HomogeneousNon Homogeneous Equations Video
  22. Fourier IntegralTransform Method for Heat Equation Video
  23. Three Dimensional Laplace Equation Video
  24. Solution of Drichlet Problem Video
  25. Numerical Method for Laplace Poisson equation Video
  26. ADI Method for Laplace and Poisson Equation Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Basic courses-Sem 1 and 2
Taught by
Dr. Tanuja Srivastava, Prof. P.N. Agrawal
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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