Modules / Lectures

Module Name | Download |
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noc18_ma09_Assignment1 | noc18_ma09_Assignment1 |

noc18_ma09_Assignment10 | noc18_ma09_Assignment10 |

noc18_ma09_Assignment11 | noc18_ma09_Assignment11 |

noc18_ma09_Assignment12 | noc18_ma09_Assignment12 |

noc18_ma09_Assignment13 | noc18_ma09_Assignment13 |

noc18_ma09_Assignment2 | noc18_ma09_Assignment2 |

noc18_ma09_Assignment3 | noc18_ma09_Assignment3 |

noc18_ma09_Assignment4 | noc18_ma09_Assignment4 |

noc18_ma09_Assignment5 | noc18_ma09_Assignment5 |

noc18_ma09_Assignment6 | noc18_ma09_Assignment6 |

noc18_ma09_Assignment7 | noc18_ma09_Assignment7 |

noc18_ma09_Assignment8 | noc18_ma09_Assignment8 |

noc18_ma09_Assignment9 | noc18_ma09_Assignment9 |

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Definition and classification of linear integral equations | Download |

2 | Conversion of IVP into integral equations | Download |

3 | Conversion of BVP into an integral equations | Download |

4 | Conversion of integral equations into differential equations | Download |

5 | Integro-differential equations | Download |

6 | Fredholm integral equation with separable kernel: Theory | Download |

7 | Fredholm integral equation with separable kernel: Examples | Download |

8 | Solution of integral equations by successive substitutions | Download |

9 | Solution of integral equations by successive approximations | Download |

10 | Solution of integral equations by successive approximations: Resolvent kernel | Download |

11 | Fredholm integral equations with symmetric kernels: Properties of eigenvalues and eigenfunctions | Download |

12 | Fredholm integral equations with symmetric kernels: Hilbert Schmidt theory | Download |

13 | Fredholm integral equations with symmetric kernels: Examples | Download |

14 | Construction of Green function-I | Download |

15 | Construction of Green function-II | Download |

16 | Green function for self adjoint linear differential equations | Download |

17 | Green function for non-homogeneous boundary value problem | Download |

18 | Fredholm alternative theorem-I | Download |

19 | Fredholm alternative theorem-II | Download |

20 | Fredholm method of solutions | Download |

21 | Classical Fredholm theory: Fredholm first theorem-I | Download |

22 | Classical Fredholm theory: Fredholm first theorem-II | Download |

23 | Classical Fredholm theory: Fredholm second theorem and third theorem | Download |

24 | Method of successive approximations | Download |

25 | Neumann series and resolvent kernels-I | Download |

26 | Neumann series and resolvent kernels-II | Download |

27 | Equations with convolution type kernels-I | Download |

28 | Equations with convolution type kernels-II | Download |

29 | Singular integral equations-I | Download |

30 | Singular integral equations-II | Download |

31 | Cauchy type integral equations-I | Download |

32 | Cauchy type integral equations-II | Download |

33 | Cauchy type integral equations-III | Download |

34 | Cauchy type integral equations-IV | Download |

35 | Cauchy type integral equations-V | Download |

36 | Solution of integral equations using Fourier transform | Download |

37 | Solution of integral equations using Hilbert transform-I | Download |

38 | Solution of integral equations using Hilbert transform-II | Download |

39 | Calculus of variations: Introduction | Download |

40 | Calculus of variations: Basic concepts-I | Download |

41 | Calculus of variations: Basic concepts-II | Download |

42 | Calculus of variations: Basic concepts and Euler equation | Download |

43 | Euler equation: Some particular cases | Download |

44 | Euler equation : A particular case and Geodesics | Download |

45 | Brachistochrone problem and Euler equation-I | Download |

46 | Euler's equation-II | Download |

47 | Functions of several independent variables | Download |

48 | Variational problems in parametric form | Download |

49 | Variational problems of general type | Download |

50 | Variational derivative and invariance of Euler's equation | Download |

51 | Invariance of Euler's equation and isoperimetric problem-I | Download |

52 | Isoperimetric problem-II | Download |

53 | Variational problem involving a conditional extremum-I | Download |

54 | Variational problem involving a conditional extremum-II | Download |

55 | Variational problems with moving boundaries-I | Download |

56 | Variational problems with moving boundaries-II | Download |

57 | Variational problems with moving boundaries-III | Download |

58 | Variational problems with moving boundaries; One sided variation | Download |

59 | Variational problem with a movable boundary for a functional dependent on two functions | Download |

60 | Hamilton's principle: Variational principle of least action | Download |

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

1 | Definition and classification of linear integral equations | PDF unavailable |

2 | Conversion of IVP into integral equations | PDF unavailable |

3 | Conversion of BVP into an integral equations | PDF unavailable |

4 | Conversion of integral equations into differential equations | PDF unavailable |

5 | Integro-differential equations | PDF unavailable |

6 | Fredholm integral equation with separable kernel: Theory | PDF unavailable |

7 | Fredholm integral equation with separable kernel: Examples | PDF unavailable |

8 | Solution of integral equations by successive substitutions | PDF unavailable |

9 | Solution of integral equations by successive approximations | PDF unavailable |

10 | Solution of integral equations by successive approximations: Resolvent kernel | PDF unavailable |

11 | Fredholm integral equations with symmetric kernels: Properties of eigenvalues and eigenfunctions | PDF unavailable |

12 | Fredholm integral equations with symmetric kernels: Hilbert Schmidt theory | PDF unavailable |

13 | Fredholm integral equations with symmetric kernels: Examples | PDF unavailable |

14 | Construction of Green function-I | PDF unavailable |

15 | Construction of Green function-II | PDF unavailable |

16 | Green function for self adjoint linear differential equations | PDF unavailable |

17 | Green function for non-homogeneous boundary value problem | PDF unavailable |

18 | Fredholm alternative theorem-I | PDF unavailable |

19 | Fredholm alternative theorem-II | PDF unavailable |

20 | Fredholm method of solutions | PDF unavailable |

21 | Classical Fredholm theory: Fredholm first theorem-I | PDF unavailable |

22 | Classical Fredholm theory: Fredholm first theorem-II | PDF unavailable |

23 | Classical Fredholm theory: Fredholm second theorem and third theorem | PDF unavailable |

24 | Method of successive approximations | PDF unavailable |

25 | Neumann series and resolvent kernels-I | PDF unavailable |

26 | Neumann series and resolvent kernels-II | PDF unavailable |

27 | Equations with convolution type kernels-I | PDF unavailable |

28 | Equations with convolution type kernels-II | PDF unavailable |

29 | Singular integral equations-I | PDF unavailable |

30 | Singular integral equations-II | PDF unavailable |

31 | Cauchy type integral equations-I | PDF unavailable |

32 | Cauchy type integral equations-II | PDF unavailable |

33 | Cauchy type integral equations-III | PDF unavailable |

34 | Cauchy type integral equations-IV | PDF unavailable |

35 | Cauchy type integral equations-V | PDF unavailable |

36 | Solution of integral equations using Fourier transform | PDF unavailable |

37 | Solution of integral equations using Hilbert transform-I | PDF unavailable |

38 | Solution of integral equations using Hilbert transform-II | PDF unavailable |

39 | Calculus of variations: Introduction | PDF unavailable |

40 | Calculus of variations: Basic concepts-I | PDF unavailable |

41 | Calculus of variations: Basic concepts-II | PDF unavailable |

42 | Calculus of variations: Basic concepts and Euler equation | PDF unavailable |

43 | Euler equation: Some particular cases | PDF unavailable |

44 | Euler equation : A particular case and Geodesics | PDF unavailable |

45 | Brachistochrone problem and Euler equation-I | PDF unavailable |

46 | Euler's equation-II | PDF unavailable |

47 | Functions of several independent variables | PDF unavailable |

48 | Variational problems in parametric form | PDF unavailable |

49 | Variational problems of general type | PDF unavailable |

50 | Variational derivative and invariance of Euler's equation | PDF unavailable |

51 | Invariance of Euler's equation and isoperimetric problem-I | PDF unavailable |

52 | Isoperimetric problem-II | PDF unavailable |

53 | Variational problem involving a conditional extremum-I | PDF unavailable |

54 | Variational problem involving a conditional extremum-II | PDF unavailable |

55 | Variational problems with moving boundaries-I | PDF unavailable |

56 | Variational problems with moving boundaries-II | PDF unavailable |

57 | Variational problems with moving boundaries-III | PDF unavailable |

58 | Variational problems with moving boundaries; One sided variation | PDF unavailable |

59 | Variational problem with a movable boundary for a functional dependent on two functions | PDF unavailable |

60 | Hamilton's principle: Variational principle of least action | PDF unavailable |

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 |