Modules / Lectures

Module Name | Download |
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noc19_ma12_Assignment1 | noc19_ma12_Assignment1 |

noc19_ma12_Assignment10 | noc19_ma12_Assignment10 |

noc19_ma12_Assignment11 | noc19_ma12_Assignment11 |

noc19_ma12_Assignment12 | noc19_ma12_Assignment12 |

noc19_ma12_Assignment13 | noc19_ma12_Assignment13 |

noc19_ma12_Assignment2 | noc19_ma12_Assignment2 |

noc19_ma12_Assignment3 | noc19_ma12_Assignment3 |

noc19_ma12_Assignment4 | noc19_ma12_Assignment4 |

noc19_ma12_Assignment5 | noc19_ma12_Assignment5 |

noc19_ma12_Assignment6 | noc19_ma12_Assignment6 |

noc19_ma12_Assignment7 | noc19_ma12_Assignment7 |

noc19_ma12_Assignment8 | noc19_ma12_Assignment8 |

noc19_ma12_Assignment9 | noc19_ma12_Assignment9 |

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

1 | Lecture 1: Introduction to linear differential equations | Download |

2 | Lecture 2: Linear dependence, independence and Wronskian of functions | Download |

3 | Lecture 3: Solution of second-order homogenous linear differential equations with constant coefficients-I | Download |

4 | Lecture 4: Solution of second-order homogenous linear differential equations with constant coefficients-II | Download |

5 | Lecture 5: Method of undetermined coefficients | Download |

6 | Lecture 2:Methods for finding Particular Integral for second-order linear differential equations with constant coefficients-I | Download |

7 | Lecture 7:Methods for finding Particular Integral for second-order linear differential equations with constant coefficients-II | Download |

8 | Lecture 8:Methods for finding Particular Integral for second-order linear differential equations with constant coefficients-III | Download |

9 | Lecture 9:Euler-Cauchy equations | Download |

10 | Lecture 10:Method of reduction for second-order linear differential equations | Download |

11 | Lecture 11:Method of variation of parameters | Download |

12 | Lecture 12:Solution of second order differential equations by changing dependent variable | Download |

13 | Lecture 13:Solution of second order differential equations by changing independent variable | Download |

14 | Lecture 14:Solution of higher-order homogenous linear differential equations with constant coefficients | Download |

15 | Lecture15:Methods for finding Particular Integral for higher-order linear differential equations | Download |

16 | Lecture 16:Formulation of Partial differential equations | Download |

17 | Lecture 17:Solution of Lagrange’s equation-I | Download |

18 | Lecture 18:Solution of Lagrange’s equation-II | Download |

19 | Lecture 19:Solution of first order nonlinear equations-I | Download |

20 | Lecture 20:Solution of first order nonlinear equations-II | Download |

21 | Lecture 21:Solution of first order nonlinear equations-III | Download |

22 | Lecture 22:Solution of first order nonlinear equations-IV | Download |

23 | Lecture 23:Introduction to Laplace transforms | Download |

24 | Lecture 24:Laplace transforms of some standard functions | Download |

25 | Lecture 25:Existence theorem for Laplace transforms | Download |

26 | Lecture 26:Properties of Laplace transforms-I | Download |

27 | Lecture 27:Properties of Laplace transforms-II | Download |

28 | Lecture 28:Properties of Laplace transforms-III | Download |

29 | Lecture 29:Properties of Laplace transforms-IV | Download |

30 | Lecture 30:Convolution theorem for Laplace transforms-I | Download |

31 | Lecture 31:Convolution theorem for Laplace transforms-II | Download |

32 | Lecture 32:Initial and final value theorems for Laplace transforms | Download |

33 | Lecture 33:Laplace transforms of periodic functions | Download |

34 | Lecture 34:Laplace transforms of Heaviside unit step function | Download |

35 | Lecture 35:Laplace transforms of Dirac delta function | Download |

36 | Lecture 36:Applications of Laplace transforms-I | Download |

37 | Lecture 37:Applications of Laplace transforms-II | Download |

38 | Lecture 38:Applications of Laplace transforms-III | Download |

39 | Lecture 39:Z – transform and inverse Z-transform of elementary functions | Download |

40 | Lecture 40:Properties of Z-transforms-I | Download |

41 | Lecture 41:Properties of Z-transforms-II | Download |

42 | Lecture 42:Initial and final value theorem for Z-transforms | Download |

43 | Lecture 43:Convolution theorem for Z- transforms | Download |

44 | Lecture 44:Applications of Z- transforms-I | Download |

45 | Lecture 45:Applications of Z- transforms-II | Download |

46 | Lecture 46:Applications of Z- transforms-III | Download |

47 | Lecture 47:Fourier series and its convergence-I | Download |

48 | Lecture 48:Fourier series and its convergence-II | Download |

49 | Lecture 49:Fourier series of even and odd functions | Download |

50 | Lecture 50:Fourier half-range series | Download |

51 | Lecture 51:Parsevel’s Identity | Download |

52 | Lecture 52:Complex form of Fourier series | Download |

53 | Lecture 53:Fourier integrals | Download |

54 | Lecture 54:Fourier sine and cosine integrals | Download |

55 | Lecture 55:Fourier transforms | Download |

56 | Lecture 56:Fourier sine and cosine transforms | Download |

57 | Lecture 57:Convolution theorem for Fourier transforms | Download |

58 | Lecture 58:Applications of Fourier transforms to BVP-I | Download |

59 | Lecture 59:Applications of Fourier transforms to BVP-II | Download |

60 | Lecture 60:Applications of Fourier transforms to BVP-III | Download |

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

1 | Lecture 1: Introduction to linear differential equations | Download Verified |

2 | Lecture 2: Linear dependence, independence and Wronskian of functions | Download Verified |

3 | Lecture 3: Solution of second-order homogenous linear differential equations with constant coefficients-I | Download Verified |

4 | Lecture 4: Solution of second-order homogenous linear differential equations with constant coefficients-II | Download Verified |

5 | Lecture 5: Method of undetermined coefficients | Download Verified |

6 | Lecture 2:Methods for finding Particular Integral for second-order linear differential equations with constant coefficients-I | Download Verified |

7 | Lecture 7:Methods for finding Particular Integral for second-order linear differential equations with constant coefficients-II | Download Verified |

8 | Lecture 8:Methods for finding Particular Integral for second-order linear differential equations with constant coefficients-III | Download Verified |

9 | Lecture 9:Euler-Cauchy equations | Download Verified |

10 | Lecture 10:Method of reduction for second-order linear differential equations | Download Verified |

11 | Lecture 11:Method of variation of parameters | Download Verified |

12 | Lecture 12:Solution of second order differential equations by changing dependent variable | Download Verified |

13 | Lecture 13:Solution of second order differential equations by changing independent variable | Download Verified |

14 | Lecture 14:Solution of higher-order homogenous linear differential equations with constant coefficients | Download Verified |

15 | Lecture15:Methods for finding Particular Integral for higher-order linear differential equations | Download Verified |

16 | Lecture 16:Formulation of Partial differential equations | Download Verified |

17 | Lecture 17:Solution of Lagrange’s equation-I | Download Verified |

18 | Lecture 18:Solution of Lagrange’s equation-II | Download Verified |

19 | Lecture 19:Solution of first order nonlinear equations-I | Download Verified |

20 | Lecture 20:Solution of first order nonlinear equations-II | Download Verified |

21 | Lecture 21:Solution of first order nonlinear equations-III | Download Verified |

22 | Lecture 22:Solution of first order nonlinear equations-IV | Download Verified |

23 | Lecture 23:Introduction to Laplace transforms | Download Verified |

24 | Lecture 24:Laplace transforms of some standard functions | Download Verified |

25 | Lecture 25:Existence theorem for Laplace transforms | Download Verified |

26 | Lecture 26:Properties of Laplace transforms-I | Download Verified |

27 | Lecture 27:Properties of Laplace transforms-II | Download Verified |

28 | Lecture 28:Properties of Laplace transforms-III | Download Verified |

29 | Lecture 29:Properties of Laplace transforms-IV | Download Verified |

30 | Lecture 30:Convolution theorem for Laplace transforms-I | Download Verified |

31 | Lecture 31:Convolution theorem for Laplace transforms-II | Download Verified |

32 | Lecture 32:Initial and final value theorems for Laplace transforms | Download Verified |

33 | Lecture 33:Laplace transforms of periodic functions | Download Verified |

34 | Lecture 34:Laplace transforms of Heaviside unit step function | Download Verified |

35 | Lecture 35:Laplace transforms of Dirac delta function | Download Verified |

36 | Lecture 36:Applications of Laplace transforms-I | Download Verified |

37 | Lecture 37:Applications of Laplace transforms-II | Download Verified |

38 | Lecture 38:Applications of Laplace transforms-III | Download Verified |

39 | Lecture 39:Z – transform and inverse Z-transform of elementary functions | Download Verified |

40 | Lecture 40:Properties of Z-transforms-I | Download Verified |

41 | Lecture 41:Properties of Z-transforms-II | Download Verified |

42 | Lecture 42:Initial and final value theorem for Z-transforms | Download Verified |

43 | Lecture 43:Convolution theorem for Z- transforms | Download Verified |

44 | Lecture 44:Applications of Z- transforms-I | Download Verified |

45 | Lecture 45:Applications of Z- transforms-II | Download Verified |

46 | Lecture 46:Applications of Z- transforms-III | Download Verified |

47 | Lecture 47:Fourier series and its convergence-I | PDF unavailable |

48 | Lecture 48:Fourier series and its convergence-II | PDF unavailable |

49 | Lecture 49:Fourier series of even and odd functions | PDF unavailable |

50 | Lecture 50:Fourier half-range series | PDF unavailable |

51 | Lecture 51:Parsevel’s Identity | PDF unavailable |

52 | Lecture 52:Complex form of Fourier series | PDF unavailable |

53 | Lecture 53:Fourier integrals | PDF unavailable |

54 | Lecture 54:Fourier sine and cosine integrals | PDF unavailable |

55 | Lecture 55:Fourier transforms | PDF unavailable |

56 | Lecture 56:Fourier sine and cosine transforms | PDF unavailable |

57 | Lecture 57:Convolution theorem for Fourier transforms | PDF unavailable |

58 | Lecture 58:Applications of Fourier transforms to BVP-I | Download Verified |

59 | Lecture 59:Applications of Fourier transforms to BVP-II | Download Verified |

60 | Lecture 60:Applications of Fourier transforms to BVP-III | Download 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 |