Modules / Lectures


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