Modules / Lectures


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Sl.No Chapter Name MP4 Download
1Lecture 1 : Set, Group, Field, RingDownload
2Lecture 2 : Vector SpaceDownload
3Lecture 3 : Span, Linear combination of vectorsDownload
4Lecture 4 : Linearly dependent and independent vector, BasisDownload
5Lecture 5 : Dual SpaceDownload
6Lecture 6 : Inner ProductDownload
7Lecture 7 : Schwarz InequalityDownload
8Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalizationDownload
9Lecture 9 : Projection operatorDownload
10Lecture 10 : Transformation of BasisDownload
11Lecture 11 : Transformation of Basis (Continue)Download
12Lecture 12 : Unitary transformation, Similarity TransformationDownload
13Lecture 13 : Eigen Value, Eigen VectorsDownload
14Lecture 14 : Normal MatrixDownload
15Lecture 15 : Diagonalization of a MatrixDownload
16Lecture 16: Hermitian MatrixDownload
17Lecture 17 : Rank of a MatrixDownload
18Lecture 18 : Cayley - Hamilton Theorem, Function spaceDownload
19Lecture 19: Metric Space, Linearly dependent –independent functionsDownload
20Lecture 20 : Linearly dependent –independent functions (Cont), Inner Product of functionsDownload
21Lecture 21: Orthogonal functionsDownload
22Lecture 22: Delta Function, CompletenessDownload
23Lecture 23: FourierDownload
24Lecture 24: Fourier Series (Contd.)Download
25Lecture 25: Parseval Theorem, Fourier TransformDownload
26Lecture 26: Parseval Relation, Convolution TheoremDownload
27Lecture 27: Polynomial space, Legendre PolynomialDownload
28Lecture 28: Monomial Basis, Factorial Basis, Legendre BasisDownload
29Lecture 29: Complex NumbersDownload
30Lecture 30: Geometrical interpretation of complex numbersDownload
31Lecture 31 : de Moivre’s TheoremDownload
32Lecture 32 : Roots of a complex numberDownload
33Lecture 33 : Set of complex no, Stereographic projectionDownload
34Lecture 34 : Complex Function, Concept of LimitDownload
35Lecture 35 : Derivative of Complex Function, Cauchy-Riemann EquationDownload
36Lecture 36 : Analytic FunctionDownload
37Lecture 37 : Harmonic ConjugateDownload
38Lecture 38 : Polar form of Cauchy-Riemann EquationDownload
39Lecture 39 : Multi-valued function and BranchesDownload
40Lecture 40 : Complex Line Integration, Contour , RegionsDownload
41Lecture 41: Complex Line Integration(Cont.)Download
42Lecture 42: Cauchy-Goursat TheoremDownload
43Lecture 43 : Application of Cauchy-Goursat TheoremDownload
44Lecture 44: Cauchy’s Integral FormulaDownload
45Lecture 45: Cauchy’s Integral Formula (Contd.) Download
46Lecture 46:Series and SequenceDownload
47Lecture 47:Series and Sequence (Contd.)Download
48Lecture 48:Circle and radius of convergenceDownload
49Lecture 49: Taylor SeriesDownload
50Lecture 50 Classification of singularityDownload
51Lecture 51: Laurent Series, SingularityDownload
52Lecture 52: Laurent series expansionDownload
53Lecture 53: Laurent series expansion (Cont), Concept of ResidueDownload
54Lecture 54: Classification of ResidueDownload
55Lecture 55: Calculation of Residue for quotient fromDownload
56Lecture 56 : Cauchy’s Residue TheoremDownload
57Lecture 57 : Cauchy’s Residue Theorem (Cont)Download
58Lecture 58 : Real Integration using Cauchy’s Residue TheoremDownload
59Lecture 59 : Real Integration using Cauchy’s Residue Theorem (Cont)Download
60Lecture 60 : Real Integration using Cauchy’s Residue Theorem (Cont)Download

Sl.No Chapter Name English
1Lecture 1 : Set, Group, Field, RingDownload
To be verified
2Lecture 2 : Vector SpaceDownload
To be verified
3Lecture 3 : Span, Linear combination of vectorsDownload
To be verified
4Lecture 4 : Linearly dependent and independent vector, BasisDownload
To be verified
5Lecture 5 : Dual SpaceDownload
To be verified
6Lecture 6 : Inner ProductDownload
To be verified
7Lecture 7 : Schwarz InequalityDownload
To be verified
8Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalizationDownload
To be verified
9Lecture 9 : Projection operatorDownload
To be verified
10Lecture 10 : Transformation of BasisDownload
To be verified
11Lecture 11 : Transformation of Basis (Continue)Download
To be verified
12Lecture 12 : Unitary transformation, Similarity TransformationDownload
To be verified
13Lecture 13 : Eigen Value, Eigen VectorsDownload
To be verified
14Lecture 14 : Normal MatrixDownload
To be verified
15Lecture 15 : Diagonalization of a MatrixDownload
To be verified
16Lecture 16: Hermitian MatrixDownload
To be verified
17Lecture 17 : Rank of a MatrixDownload
To be verified
18Lecture 18 : Cayley - Hamilton Theorem, Function spaceDownload
To be verified
19Lecture 19: Metric Space, Linearly dependent –independent functionsDownload
To be verified
20Lecture 20 : Linearly dependent –independent functions (Cont), Inner Product of functionsDownload
To be verified
21Lecture 21: Orthogonal functionsDownload
To be verified
22Lecture 22: Delta Function, CompletenessDownload
To be verified
23Lecture 23: FourierDownload
To be verified
24Lecture 24: Fourier Series (Contd.)Download
To be verified
25Lecture 25: Parseval Theorem, Fourier TransformDownload
To be verified
26Lecture 26: Parseval Relation, Convolution TheoremDownload
To be verified
27Lecture 27: Polynomial space, Legendre PolynomialDownload
To be verified
28Lecture 28: Monomial Basis, Factorial Basis, Legendre BasisDownload
To be verified
29Lecture 29: Complex NumbersDownload
To be verified
30Lecture 30: Geometrical interpretation of complex numbersDownload
To be verified
31Lecture 31 : de Moivre’s TheoremDownload
To be verified
32Lecture 32 : Roots of a complex numberDownload
To be verified
33Lecture 33 : Set of complex no, Stereographic projectionDownload
To be verified
34Lecture 34 : Complex Function, Concept of LimitDownload
To be verified
35Lecture 35 : Derivative of Complex Function, Cauchy-Riemann EquationDownload
To be verified
36Lecture 36 : Analytic FunctionDownload
To be verified
37Lecture 37 : Harmonic ConjugateDownload
To be verified
38Lecture 38 : Polar form of Cauchy-Riemann EquationDownload
To be verified
39Lecture 39 : Multi-valued function and BranchesDownload
To be verified
40Lecture 40 : Complex Line Integration, Contour , RegionsDownload
To be verified
41Lecture 41: Complex Line Integration(Cont.)Download
To be verified
42Lecture 42: Cauchy-Goursat TheoremDownload
To be verified
43Lecture 43 : Application of Cauchy-Goursat TheoremDownload
To be verified
44Lecture 44: Cauchy’s Integral FormulaDownload
To be verified
45Lecture 45: Cauchy’s Integral Formula (Contd.) Download
To be verified
46Lecture 46:Series and SequenceDownload
To be verified
47Lecture 47:Series and Sequence (Contd.)Download
To be verified
48Lecture 48:Circle and radius of convergenceDownload
To be verified
49Lecture 49: Taylor SeriesDownload
To be verified
50Lecture 50 Classification of singularityDownload
To be verified
51Lecture 51: Laurent Series, SingularityDownload
To be verified
52Lecture 52: Laurent series expansionDownload
To be verified
53Lecture 53: Laurent series expansion (Cont), Concept of ResidueDownload
To be verified
54Lecture 54: Classification of ResidueDownload
To be verified
55Lecture 55: Calculation of Residue for quotient fromDownload
To be verified
56Lecture 56 : Cauchy’s Residue TheoremDownload
To be verified
57Lecture 57 : Cauchy’s Residue Theorem (Cont)Download
To be verified
58Lecture 58 : Real Integration using Cauchy’s Residue TheoremDownload
To be verified
59Lecture 59 : Real Integration using Cauchy’s Residue Theorem (Cont)Download
To be verified
60Lecture 60 : Real Integration using Cauchy’s Residue Theorem (Cont)Download
To be verified


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4HindiNot Available
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8TamilNot Available
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