Modules / Lectures

Module Name | Download |
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Week 1 Assignment Solutions | Week 1 Assignment Solutions |

Week 10 Assignment Solutions | Week 10 Assignment Solutions |

Week 11 Assignment Solutions | Week 11 Assignment Solutions |

Week 12 Assignment Solutions | Week 12 Assignment Solutions |

Week 2 Assignment Solutions | Week 2 Assignment Solutions |

Week 3 Assignment Solutions | Week 3 Assignment Solutions |

Week 4 Assignment Solutions | Week 4 Assignment Solutions |

Week 5 Assignment Solutions | Week 5 Assignment Solutions |

Week 6 Assignment Solutions | Week 6 Assignment Solutions |

Week 7 Assignment Solutions | Week 7 Assignment Solutions |

Week 8 Assignment Solutions | Week 8 Assignment Solutions |

Week 9 Assignment Solutions | Week 9 Assignment Solutions |

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

1 | Lecture 1 : Set, Group, Field, Ring | Download |

2 | Lecture 2 : Vector Space | Download |

3 | Lecture 3 : Span, Linear combination of vectors | Download |

4 | Lecture 4 : Linearly dependent and independent vector, Basis | Download |

5 | Lecture 5 : Dual Space | Download |

6 | Lecture 6 : Inner Product | Download |

7 | Lecture 7 : Schwarz Inequality | Download |

8 | Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalization | Download |

9 | Lecture 9 : Projection operator | Download |

10 | Lecture 10 : Transformation of Basis | Download |

11 | Lecture 11 : Transformation of Basis (Continue) | Download |

12 | Lecture 12 : Unitary transformation, Similarity Transformation | Download |

13 | Lecture 13 : Eigen Value, Eigen Vectors | Download |

14 | Lecture 14 : Normal Matrix | Download |

15 | Lecture 15 : Diagonalization of a Matrix | Download |

16 | Lecture 16: Hermitian Matrix | Download |

17 | Lecture 17 : Rank of a Matrix | Download |

18 | Lecture 18 : Cayley - Hamilton Theorem, Function space | Download |

19 | Lecture 19: Metric Space, Linearly dependent â€“independent functions | Download |

20 | Lecture 20 : Linearly dependent â€“independent functions (Cont), Inner Product of functions | Download |

21 | Lecture 21: Orthogonal functions | Download |

22 | Lecture 22: Delta Function, Completeness | Download |

23 | Lecture 23: Fourier | Download |

24 | Lecture 24: Fourier Series (Contd.) | Download |

25 | Lecture 25: Parseval Theorem, Fourier Transform | Download |

26 | Lecture 26: Parseval Relation, Convolution Theorem | Download |

27 | Lecture 27: Polynomial space, Legendre Polynomial | Download |

28 | Lecture 28: Monomial Basis, Factorial Basis, Legendre Basis | Download |

29 | Lecture 29: Complex Numbers | Download |

30 | Lecture 30: Geometrical interpretation of complex numbers | Download |

31 | Lecture 31 : de Moivreâ€™s Theorem | Download |

32 | Lecture 32 : Roots of a complex number | Download |

33 | Lecture 33 : Set of complex no, Stereographic projection | Download |

34 | Lecture 34 : Complex Function, Concept of Limit | Download |

35 | Lecture 35 : Derivative of Complex Function, Cauchy-Riemann Equation | Download |

36 | Lecture 36 : Analytic Function | Download |

37 | Lecture 37 : Harmonic Conjugate | Download |

38 | Lecture 38 : Polar form of Cauchy-Riemann Equation | Download |

39 | Lecture 39 : Multi-valued function and Branches | Download |

40 | Lecture 40 : Complex Line Integration, Contour , Regions | Download |

41 | Lecture 41: Complex Line Integration(Cont.) | Download |

42 | Lecture 42: Cauchy-Goursat Theorem | Download |

43 | Lecture 43 : Application of Cauchy-Goursat Theorem | Download |

44 | Lecture 44: Cauchyâ€™s Integral Formula | Download |

45 | Lecture 45: Cauchyâ€™s Integral Formula (Contd.) | Download |

46 | Lecture 46:Series and Sequence | Download |

47 | Lecture 47:Series and Sequence (Contd.) | Download |

48 | Lecture 48:Circle and radius of convergence | Download |

49 | Lecture 49: Taylor Series | Download |

50 | Lecture 50 Classification of singularity | Download |

51 | Lecture 51: Laurent Series, Singularity | Download |

52 | Lecture 52: Laurent series expansion | Download |

53 | Lecture 53: Laurent series expansion (Cont), Concept of Residue | Download |

54 | Lecture 54: Classification of Residue | Download |

55 | Lecture 55: Calculation of Residue for quotient from | Download |

56 | Lecture 56 : Cauchyâ€™s Residue Theorem | Download |

57 | Lecture 57 : Cauchyâ€™s Residue Theorem (Cont) | Download |

58 | Lecture 58 : Real Integration using Cauchyâ€™s Residue Theorem | Download |

59 | Lecture 59 : Real Integration using Cauchyâ€™s Residue Theorem (Cont) | Download |

60 | Lecture 60 : Real Integration using Cauchyâ€™s Residue Theorem (Cont) | Download |

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

1 | Lecture 1 : Set, Group, Field, Ring | Download To be verified |

2 | Lecture 2 : Vector Space | Download To be verified |

3 | Lecture 3 : Span, Linear combination of vectors | Download To be verified |

4 | Lecture 4 : Linearly dependent and independent vector, Basis | Download To be verified |

5 | Lecture 5 : Dual Space | Download To be verified |

6 | Lecture 6 : Inner Product | Download To be verified |

7 | Lecture 7 : Schwarz Inequality | Download To be verified |

8 | Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalization | Download To be verified |

9 | Lecture 9 : Projection operator | Download To be verified |

10 | Lecture 10 : Transformation of Basis | Download To be verified |

11 | Lecture 11 : Transformation of Basis (Continue) | Download To be verified |

12 | Lecture 12 : Unitary transformation, Similarity Transformation | Download To be verified |

13 | Lecture 13 : Eigen Value, Eigen Vectors | Download To be verified |

14 | Lecture 14 : Normal Matrix | Download To be verified |

15 | Lecture 15 : Diagonalization of a Matrix | Download To be verified |

16 | Lecture 16: Hermitian Matrix | Download To be verified |

17 | Lecture 17 : Rank of a Matrix | Download To be verified |

18 | Lecture 18 : Cayley - Hamilton Theorem, Function space | Download To be verified |

19 | Lecture 19: Metric Space, Linearly dependent â€“independent functions | Download To be verified |

20 | Lecture 20 : Linearly dependent â€“independent functions (Cont), Inner Product of functions | Download To be verified |

21 | Lecture 21: Orthogonal functions | Download To be verified |

22 | Lecture 22: Delta Function, Completeness | Download To be verified |

23 | Lecture 23: Fourier | Download To be verified |

24 | Lecture 24: Fourier Series (Contd.) | Download To be verified |

25 | Lecture 25: Parseval Theorem, Fourier Transform | Download To be verified |

26 | Lecture 26: Parseval Relation, Convolution Theorem | Download To be verified |

27 | Lecture 27: Polynomial space, Legendre Polynomial | Download To be verified |

28 | Lecture 28: Monomial Basis, Factorial Basis, Legendre Basis | Download To be verified |

29 | Lecture 29: Complex Numbers | Download To be verified |

30 | Lecture 30: Geometrical interpretation of complex numbers | Download To be verified |

31 | Lecture 31 : de Moivreâ€™s Theorem | Download To be verified |

32 | Lecture 32 : Roots of a complex number | Download To be verified |

33 | Lecture 33 : Set of complex no, Stereographic projection | Download To be verified |

34 | Lecture 34 : Complex Function, Concept of Limit | Download To be verified |

35 | Lecture 35 : Derivative of Complex Function, Cauchy-Riemann Equation | Download To be verified |

36 | Lecture 36 : Analytic Function | Download To be verified |

37 | Lecture 37 : Harmonic Conjugate | Download To be verified |

38 | Lecture 38 : Polar form of Cauchy-Riemann Equation | Download To be verified |

39 | Lecture 39 : Multi-valued function and Branches | Download To be verified |

40 | Lecture 40 : Complex Line Integration, Contour , Regions | Download To be verified |

41 | Lecture 41: Complex Line Integration(Cont.) | Download To be verified |

42 | Lecture 42: Cauchy-Goursat Theorem | Download To be verified |

43 | Lecture 43 : Application of Cauchy-Goursat Theorem | Download To be verified |

44 | Lecture 44: Cauchyâ€™s Integral Formula | Download To be verified |

45 | Lecture 45: Cauchyâ€™s Integral Formula (Contd.) | Download To be verified |

46 | Lecture 46:Series and Sequence | Download To be verified |

47 | Lecture 47:Series and Sequence (Contd.) | Download To be verified |

48 | Lecture 48:Circle and radius of convergence | Download To be verified |

49 | Lecture 49: Taylor Series | Download To be verified |

50 | Lecture 50 Classification of singularity | Download To be verified |

51 | Lecture 51: Laurent Series, Singularity | Download To be verified |

52 | Lecture 52: Laurent series expansion | Download To be verified |

53 | Lecture 53: Laurent series expansion (Cont), Concept of Residue | Download To be verified |

54 | Lecture 54: Classification of Residue | Download To be verified |

55 | Lecture 55: Calculation of Residue for quotient from | Download To be verified |

56 | Lecture 56 : Cauchyâ€™s Residue Theorem | Download To be verified |

57 | Lecture 57 : Cauchyâ€™s Residue Theorem (Cont) | Download To be verified |

58 | Lecture 58 : Real Integration using Cauchyâ€™s Residue Theorem | Download To be verified |

59 | Lecture 59 : Real Integration using Cauchyâ€™s Residue Theorem (Cont) | Download To be verified |

60 | Lecture 60 : Real Integration using Cauchyâ€™s Residue Theorem (Cont) | 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 |