Modules / Lectures

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

1 | Lecture 1: Introduction on functions of a single variable | Download |

2 | Lecture 2: Basic definitions | Download |

3 | Lecture 3: Mean value Theorems | Download |

4 | Lecture 4: Extremum of function of single variable | Download |

5 | Lecture 5: Examples | Download |

6 | Lecture 6: Introduction on functions of two variable | Download |

7 | Lecture 7: Basic definitions | Download |

8 | Lecture 8: Partial differentiation | Download |

9 | Lecture 9: Extremum of function of two variable | Download |

10 | Lecture 10: Examples | Download |

11 | Lecture 11: Convergence and divergence test | Download |

12 | Lecture 12: Beta function, Gamma function | Download |

13 | Lecture 13: Differentiation under integral sign | Download |

14 | Lecture 14: Line integral, integration in R^2 (Double integral) | Download |

15 | Lecture 15: Examples | Download |

16 | Lecture 23: Iterative method (bisection and fixed point) | Download |

17 | Lecture 24: Newton-Raphson, Jacobi and Gauss-Seidel method | Download |

18 | Lecture 25: Finite difference method | Download |

19 | Lecture 26: Newtonâ€™s forward and backward interpolation | Download |

20 | Lecture 27: Numerical integration | Download |

21 | Lecture 28: Vector space and Subspace | Download |

22 | Lecture 29: Basis and dimension | Download |

23 | Lecture 30: Rank of a matrix | Download |

24 | Lecture 31: Gauss-Elimination Method | Download |

25 | Lecture 32: Linear Transformation | Download |

26 | Lecture 33: Examples | Download |

27 | Lecture 34: Matrix Representation | Download |

28 | Lec 35: Eigenvalues and Eigenvectors | Download |

29 | Lecture 36: Cayley-Hamilton Theorem | Download |

30 | Lecture 37: Diagonalisation of a Matrix | Download |

31 | Lecture 38: Examples and applications | Download |

32 | Lecture 39: Types of matrices | Download |

33 | Lecture 40: Equivalent Matrices and Elementary Matrices | Download |

34 | Lecture 41: Introduction to the vector function | Download |

35 | Lecture 42: Differentiation and integration of the vector function | Download |

36 | Lecture 43: Partial differentiation of vector function | Download |

37 | Lecture 44: Directional derivative of a vector function | Download |

38 | Lecture 45: Examples on directional derivative, tangent plane and normal | Download |

39 | Lecture 46: Divergence and curl of a vector function | Download |

40 | Lecture 47: Application to mechanics of vector calculus | Download |

41 | Lecture 48: Serret-Frenet formula and more applications to mechanics | Download |

42 | Lecture 49: Examples on finding unit vectors, curvature and torsion | Download |

43 | Lecture 50: Application of vector calculus to the particle dynamics | Download |

44 | Lecture 51: Line integral of vector function | Download |

45 | Lecture 52: Surface integral of vector function | Download |

46 | Lecture 53: Volume integral of vector function and Gauss Divergence Theorem | Download |

47 | Lecture 54: Green's theorem and Stoke's theorem | Download |

48 | Lecture 55: Verification and application of Divergencen theorem, Green's theorem and Stoke's theorem | Download |

49 | Lecture 56: Basic properties of a complex valued function | Download |

50 | Lecture 57: Analytic Complex valued function | Download |

51 | Lecture 58: Complex Integration and theorems | Download |

52 | Lecture 59: Application of Cauchy's integral formula | Download |

53 | Lecture 60: Regular and Singular point of a complex valued function | Download |

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

1 | Lecture 1: Introduction on functions of a single variable | PDF unavailable |

2 | Lecture 2: Basic definitions | PDF unavailable |

3 | Lecture 3: Mean value Theorems | PDF unavailable |

4 | Lecture 4: Extremum of function of single variable | PDF unavailable |

5 | Lecture 5: Examples | PDF unavailable |

6 | Lecture 6: Introduction on functions of two variable | PDF unavailable |

7 | Lecture 7: Basic definitions | PDF unavailable |

8 | Lecture 8: Partial differentiation | PDF unavailable |

9 | Lecture 9: Extremum of function of two variable | PDF unavailable |

10 | Lecture 10: Examples | PDF unavailable |

11 | Lecture 11: Convergence and divergence test | PDF unavailable |

12 | Lecture 12: Beta function, Gamma function | PDF unavailable |

13 | Lecture 13: Differentiation under integral sign | PDF unavailable |

14 | Lecture 14: Line integral, integration in R^2 (Double integral) | PDF unavailable |

15 | Lecture 15: Examples | PDF unavailable |

16 | Lecture 23: Iterative method (bisection and fixed point) | PDF unavailable |

17 | Lecture 24: Newton-Raphson, Jacobi and Gauss-Seidel method | PDF unavailable |

18 | Lecture 25: Finite difference method | PDF unavailable |

19 | Lecture 26: Newtonâ€™s forward and backward interpolation | PDF unavailable |

20 | Lecture 27: Numerical integration | PDF unavailable |

21 | Lecture 28: Vector space and Subspace | PDF unavailable |

22 | Lecture 29: Basis and dimension | PDF unavailable |

23 | Lecture 30: Rank of a matrix | PDF unavailable |

24 | Lecture 31: Gauss-Elimination Method | PDF unavailable |

25 | Lecture 32: Linear Transformation | PDF unavailable |

26 | Lecture 33: Examples | PDF unavailable |

27 | Lecture 34: Matrix Representation | PDF unavailable |

28 | Lec 35: Eigenvalues and Eigenvectors | PDF unavailable |

29 | Lecture 36: Cayley-Hamilton Theorem | PDF unavailable |

30 | Lecture 37: Diagonalisation of a Matrix | PDF unavailable |

31 | Lecture 38: Examples and applications | PDF unavailable |

32 | Lecture 39: Types of matrices | PDF unavailable |

33 | Lecture 40: Equivalent Matrices and Elementary Matrices | PDF unavailable |

34 | Lecture 41: Introduction to the vector function | PDF unavailable |

35 | Lecture 42: Differentiation and integration of the vector function | PDF unavailable |

36 | Lecture 43: Partial differentiation of vector function | PDF unavailable |

37 | Lecture 44: Directional derivative of a vector function | PDF unavailable |

38 | Lecture 45: Examples on directional derivative, tangent plane and normal | PDF unavailable |

39 | Lecture 46: Divergence and curl of a vector function | PDF unavailable |

40 | Lecture 47: Application to mechanics of vector calculus | PDF unavailable |

41 | Lecture 48: Serret-Frenet formula and more applications to mechanics | PDF unavailable |

42 | Lecture 49: Examples on finding unit vectors, curvature and torsion | PDF unavailable |

43 | Lecture 50: Application of vector calculus to the particle dynamics | PDF unavailable |

44 | Lecture 51: Line integral of vector function | PDF unavailable |

45 | Lecture 52: Surface integral of vector function | PDF unavailable |

46 | Lecture 53: Volume integral of vector function and Gauss Divergence Theorem | PDF unavailable |

47 | Lecture 54: Green's theorem and Stoke's theorem | PDF unavailable |

48 | Lecture 55: Verification and application of Divergencen theorem, Green's theorem and Stoke's theorem | PDF unavailable |

49 | Lecture 56: Basic properties of a complex valued function | PDF unavailable |

50 | Lecture 57: Analytic Complex valued function | PDF unavailable |

51 | Lecture 58: Complex Integration and theorems | PDF unavailable |

52 | Lecture 59: Application of Cauchy's integral formula | PDF unavailable |

53 | Lecture 60: Regular and Singular point of a complex valued function | 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 |