Modules / Lectures

Name | Download | Download Size |
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Lecture Note | Download as zip file | 13M |

Module Name | Download |
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noc18_ma12_Assignment-10 | noc18_ma12_Assignment-10 |

noc18_ma12_Assignment-11 | noc18_ma12_Assignment-11 |

noc18_ma12_Assignment-12 | noc18_ma12_Assignment-12 |

noc18_ma12_Assignment-2 | noc18_ma12_Assignment-2 |

noc18_ma12_Assignment-3 | noc18_ma12_Assignment-3 |

noc18_ma12_Assignment-4 | noc18_ma12_Assignment-4 |

noc18_ma12_Assignment-5 | noc18_ma12_Assignment-5 |

noc18_ma12_Assignment-6 | noc18_ma12_Assignment-6 |

noc18_ma12_Assignment-7 | noc18_ma12_Assignment-7 |

noc18_ma12_Assignment-8 | noc18_ma12_Assignment-8 |

noc18_ma12_Assignment-9 | noc18_ma12_Assignment-9 |

noc18_ma12_Assignment1 | noc18_ma12_Assignment1 |

Sl.No | Chapter Name | English |
---|---|---|

1 | Introduction to Fourier series | Download To be verified |

2 | Fourier series - Examples | Download To be verified |

3 | Complex Fourier series | Download To be verified |

4 | Conditions for the Convergence of Fourier Series | Download To be verified |

5 | Conditions for the Convergence of Fourier Series(continued) | Download To be verified |

6 | Use of Delta function in the Fourier series convergence | Download To be verified |

7 | More Examples on Fourier Series of a Periodic Signal | Download To be verified |

8 | Gibb's Phenomenon in the Computation of Fourier Series | Download To be verified |

9 | Properties of Fourier Transform of a Periodic Signal | Download To be verified |

10 | Properties of Fourier transform (continued) | Download To be verified |

11 | Parseval's Identity and Recap of Fourier series | Download To be verified |

12 | Fourier integral theorem-an informal proof | Download To be verified |

13 | Definition of Fourier transforms | Download To be verified |

14 | Fourier transform of a Heavyside function | Download To be verified |

15 | Use of Fourier transforms to evaluate some integrals | Download To be verified |

16 | Evaluation of an integral- Recall of complex function theory | Download To be verified |

17 | Properties of Fourier transforms of non-periodic signals | Download To be verified |

18 | More properties of Fourier transforms | Download To be verified |

19 | Fourier integral theorem - proof | Download To be verified |

20 | Application of Fourier transform to ODE's | Download To be verified |

21 | Application of Fourier transforms to differential and integral equations | Download To be verified |

22 | Evaluation of integrals by Fourier transforms | Download To be verified |

23 | D'Alembert's solution by Fourier transform | Download To be verified |

24 | Solution of Heat equation by Fourier transform | Download To be verified |

25 | Solution of Heat and Laplace equations by Fourier transform | Download To be verified |

26 | Introduction to Laplace transform | Download To be verified |

27 | Laplace transform of elementary functions | Download To be verified |

28 | Properties of Laplace transforms | Download To be verified |

29 | Properties of Laplace transforms (continued) | Download To be verified |

30 | Methods of finding inverse Laplace transform | Download To be verified |

31 | Heavyside expansion theorem | Download To be verified |

32 | Review of complex function theory | Download To be verified |

33 | Inverse Laplace transform by contour integration | Download To be verified |

34 | Application of Laplace transforms-ODEs' | Download To be verified |

35 | Solutions of initial or boundary value problems for ODEs' | Download To be verified |

36 | Solving first order PDE's by Laplace transform | Download To be verified |

37 | Solution of wave equation by Laplace transform | Download To be verified |

38 | Solving hyperbolic equations by Laplace transform | Download To be verified |

39 | Solving heat equation by Laplace transform | Download To be verified |

40 | Initial boundary value problems for heat equations | Download To be verified |

41 | Solution of integral equations by Laplace transform | Download To be verified |

42 | Evaluation of integrals by Laplace transform | Download To be verified |

43 | Introduction to Z-transforms | Download To be verified |

44 | Properties of Z-transforms | Download To be verified |

45 | Inverse Z-transforms | Download To be verified |

46 | Solution of difference equations by Z-transforms | Download To be verified |

47 | Evaluation of infinite sums by Z-transforms | Download To be verified |

48 | conclusions | Download To be verified |

Sl.No | Language | Book link |
---|---|---|

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 |