Modules / Lectures

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Sl.No | Chapter Name | English |
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1 | Lecture 01 - Introduction to Ordinary Differential Equations (ODE) | PDF unavailable |

2 | Lecture 02 - Methods for First Order ODE's - Homogeneous Equations | PDF unavailable |

3 | Lecture 03 - Methods for First order ODE's - Exact Equations | PDF unavailable |

4 | Lecture 04 - Methods for First Order ODE's - Exact Equations ( Continued ) | PDF unavailable |

5 | Lecture 05 - Methods for First order ODE's - Reducible to Exact Equations | PDF unavailable |

6 | Lecture 06 - Methods for First order ODE's - Reducible to Exact Equations ( Continued ) | PDF unavailable |

7 | Lecture 07 - Non-Exact Equations - Finding Integrating Factors | PDF unavailable |

8 | Lecture 08 - Linear First Order ODE and Bernoulli's Equation | PDF unavailable |

9 | Lecture 09 - Introduction to Second order ODE's | PDF unavailable |

10 | Lecture 10 - Properties of solutions of second order homogeneous ODE's | PDF unavailable |

11 | Lecture 11 - Abel's formula to find the other solution | PDF unavailable |

12 | Lecture 12 - Abel's formula - Demonstrstion | PDF unavailable |

13 | Lecture 13 - Second Order ODE's with constant coefficients | PDF unavailable |

14 | Lecture 14 - Euler - Cauchy equation | PDF unavailable |

15 | Lecture 15 - Non homogeneous ODEs Variation of Parameters | PDF unavailable |

16 | Lecture 16 - Method of undetermined coefficients | PDF unavailable |

17 | Lecture 17 - Demonstration of Method of undetermined coefficients | PDF unavailable |

18 | Lecture 18 - Power Series and its properties | PDF unavailable |

19 | Lecture 19 - Power Series Solutions to Second Order ODE's | PDF unavailable |

20 | Lecture 20 - Power Series Solutions ( Continued ) | PDF unavailable |

21 | Lecture 21 - Legendre Differential Equation | PDF unavailable |

22 | Legendre Polynomials | PDF unavailable |

23 | Properties of Legendre Polynomials | PDF unavailable |

24 | Power series solutions around a regular singular point | PDF unavailable |

25 | Frobenius method of solutions | PDF unavailable |

26 | Frobenius method of solutions (continued) | PDF unavailable |

27 | Examples on Frobenius method | PDF unavailable |

28 | Bessel differential equation | PDF unavailable |

29 | Frobenius solutions for Bessel Equation | PDF unavailable |

30 | Properties of Bessel functions | PDF unavailable |

31 | Properties of Bessel functions (continued) | PDF unavailable |

32 | Introduction to Sturm-Liouville theory | PDF unavailable |

33 | Sturm-Liouville Problems | PDF unavailable |

34 | Regular Sturm-Liouville problem | PDF unavailable |

35 | Periodic and singular Sturm-Liouville Problems | PDF unavailable |

36 | Generalized Fourier series | PDF unavailable |

37 | Examples of Sturm-Liouville systems | PDF unavailable |

38 | Examples of Sturm-Liouville systems (continued) | PDF unavailable |

39 | Examples of regular Sturm-Liouville systems | PDF unavailable |

40 | Second order linear PDEs | PDF unavailable |

41 | Classification of second order linear PDEs | PDF unavailable |

42 | Reduction to canonical form for equations with constant coefficients | PDF unavailable |

43 | Reduction to canonical form for equations with variable coefficients | PDF unavailable |

44 | Reduction to Normal form-More examples | PDF unavailable |

45 | D'Alembert solution for wave equation | PDF unavailable |

46 | Uniqueness of solutions for wave equation | PDF unavailable |

47 | Vibration of a semi-infinite string | PDF unavailable |

48 | Vibration of a finite string | PDF unavailable |

49 | Finite length string vibrations | PDF unavailable |

50 | Finite length string vibrations (continued) | PDF unavailable |

51 | Non-homogeneous wave equation | PDF unavailable |

52 | Vibration of a circular drum | PDF unavailable |

53 | Solutions of heat equation-Properties | PDF unavailable |

54 | Temperature in an infinite rod | PDF unavailable |

55 | Temperature in a semi-infinite rod | PDF unavailable |

56 | Non-homogeneous heat equation | PDF unavailable |

57 | Temperature in a finite rod | PDF unavailable |

58 | Temperature in a finite rod with insulated ends | PDF unavailable |

59 | Laplace equation over a rectangle | PDF unavailable |

60 | Laplace equation over a rectangle with flux boundary conditions | PDF unavailable |

61 | Laplace equation over circular domains | PDF unavailable |

62 | Laplace equation over circular Sectors | PDF unavailable |

63 | Uniqueness of the boundary value problems for Laplace equation | PDF unavailable |

64 | Conclusions | PDF unavailable |

Sl.No | Language | Book link |
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1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |