Modules / Lectures
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noc21_ma27_assignment_Week_1noc21_ma27_assignment_Week_1
noc21_ma27_assignment_Week_2noc21_ma27_assignment_Week_2
noc21_ma27_assignment_Week_3noc21_ma27_assignment_Week_3
noc21_ma27_assignment_Week_4noc21_ma27_assignment_Week_4
noc21_ma27_assignment_Week_5noc21_ma27_assignment_Week_5
noc21_ma27_assignment_Week_6noc21_ma27_assignment_Week_6
noc21_ma27_assignment_Week_7noc21_ma27_assignment_Week_7
noc21_ma27_assignment_Week_8noc21_ma27_assignment_Week_8


Sl.No Chapter Name MP4 Download
1VectorsDownload
2Linear vector spacesDownload
3Linear vector spaces: immediate consequencesDownload
4Dot product of Euclidean vectorsDownload
5Inner product on a Linear vector spaceDownload
6Cauchy-Schwartz inequality for Euclidean vectorsDownload
7Cauchy-Schwartz inequality for vectors from LVSDownload
8Applications of the Cauchy-Schwartz inequalityDownload
9Triangle inequalityDownload
10Linear dependence and independence of vectorsDownload
11Row reduction of matricesDownload
12Rank of a matrixDownload
13Rank of a matrix: consequencesDownload
14Determinants and their propertiesDownload
15The rank of a matrix using determinantsDownload
16Cramer's ruleDownload
17Square system of equationsDownload
18Homogeneous equationsDownload
19The rank of a matrix and linear dependenceDownload
20Span, basis, and dimension of a LVSDownload
21Gram-Schmidt orthogonalizationDownload
22Vector subspacesDownload
23Linear operatorsDownload
24Inverse of an operatorDownload
25Adjoint of an operatorDownload
26Projection operatorsDownload
27Eigenvalues and EigenvectorsDownload
28Hermitian operatorsDownload
29Unitary operatorsDownload
30Normal operatorsDownload
31Similarity and Unitary transformationsDownload
32Matrix representationsDownload
33Eigenvalues and Eigenvectors of matricesDownload
34Defective matricesDownload
35Eigenvalues and eigenvectors: useful resultsDownload
36Transformation of BasisDownload
37A class of invertible matricesDownload
38Diagonalization of matricesDownload
39Diagonalizability of matricesDownload
40Functions of matricesDownload
41SHM and wavesDownload
42Periodic functionsDownload
43Average value of a functionDownload
44Piecewise continuous functionsDownload
45Orthogonal basis: Fourier seriesDownload
46Fourier coefficientsDownload
47Dirichlet ConditionsDownload
48Complex Form of Fourier SeriesDownload
49Other intervals: arbitrary periodDownload
50Even and Odd FunctionsDownload
51Differentiating Fourier seriesDownload
52Parseval's theoremDownload
53Fourier series to Fourier transformsDownload
54Fourier Sine and Cosine transformsDownload
55Parseval's theorem for Fourier seriesDownload
56Ordinary Differential equationsDownload
57First order ODEsDownload
58Linear first order ODEsDownload
59Orthogonal TrajectoriesDownload
60Exact differential equationsDownload
61Special first order ODEsDownload
62Solutions of linear first-order ODEsDownload
63Revisit linear first-order ODEsDownload
64ODEs in disguiseDownload
652nd order Homogeneous linear equations with constant coefficientsDownload
66The use of a known solution to find anotherDownload
67An alternate approach to auxiliary equationDownload
68Inhomogeneous second order equationsDownload
69Methods to find a Particular solutionDownload
70Successive Integration of two first order equationsDownload
71Illustrative examples.Download
72Variation of ParametersDownload
73Vibrations in mechanical systems.Download
74Forced Vibrations.Download
75ResonanceDownload
76Linear SuperpositionDownload
77Laplace Transform (LT)Download
78Basic Properties of Laplace TransformsDownload
79Step functions, Translations, and Periodic functionsDownload
80The Inverse Laplace TransformDownload
81Convolution of functionsDownload
82Solving ODEs using Laplace transformsDownload
83The Dirac Delta functionDownload
84Properties of the Dirac Delta functionDownload
85Green's function methodDownload
86Green's function method: Boundary value problemDownload
87Power series methodDownload
88Power series solutions about an ordinary pointDownload
89Initial value problem: power series solutionDownload
90Frobenius method for regular singular pointsDownload

Sl.No Chapter Name English
1VectorsDownload
To be verified
2Linear vector spacesDownload
To be verified
3Linear vector spaces: immediate consequencesDownload
To be verified
4Dot product of Euclidean vectorsDownload
To be verified
5Inner product on a Linear vector spaceDownload
To be verified
6Cauchy-Schwartz inequality for Euclidean vectorsDownload
To be verified
7Cauchy-Schwartz inequality for vectors from LVSDownload
To be verified
8Applications of the Cauchy-Schwartz inequalityDownload
To be verified
9Triangle inequalityDownload
To be verified
10Linear dependence and independence of vectorsDownload
To be verified
11Row reduction of matricesDownload
To be verified
12Rank of a matrixDownload
To be verified
13Rank of a matrix: consequencesDownload
To be verified
14Determinants and their propertiesDownload
To be verified
15The rank of a matrix using determinantsDownload
To be verified
16Cramer's ruleDownload
To be verified
17Square system of equationsDownload
To be verified
18Homogeneous equationsDownload
To be verified
19The rank of a matrix and linear dependenceDownload
To be verified
20Span, basis, and dimension of a LVSDownload
To be verified
21Gram-Schmidt orthogonalizationDownload
To be verified
22Vector subspacesDownload
To be verified
23Linear operatorsDownload
To be verified
24Inverse of an operatorDownload
To be verified
25Adjoint of an operatorDownload
To be verified
26Projection operatorsDownload
To be verified
27Eigenvalues and EigenvectorsDownload
To be verified
28Hermitian operatorsDownload
To be verified
29Unitary operatorsDownload
To be verified
30Normal operatorsDownload
To be verified
31Similarity and Unitary transformationsDownload
To be verified
32Matrix representationsDownload
To be verified
33Eigenvalues and Eigenvectors of matricesDownload
To be verified
34Defective matricesDownload
To be verified
35Eigenvalues and eigenvectors: useful resultsDownload
To be verified
36Transformation of BasisDownload
To be verified
37A class of invertible matricesDownload
To be verified
38Diagonalization of matricesDownload
To be verified
39Diagonalizability of matricesDownload
To be verified
40Functions of matricesDownload
To be verified
41SHM and wavesDownload
To be verified
42Periodic functionsDownload
To be verified
43Average value of a functionDownload
To be verified
44Piecewise continuous functionsDownload
To be verified
45Orthogonal basis: Fourier seriesDownload
To be verified
46Fourier coefficientsDownload
To be verified
47Dirichlet ConditionsDownload
To be verified
48Complex Form of Fourier SeriesDownload
To be verified
49Other intervals: arbitrary periodDownload
To be verified
50Even and Odd FunctionsDownload
To be verified
51Differentiating Fourier seriesDownload
To be verified
52Parseval's theoremDownload
To be verified
53Fourier series to Fourier transformsDownload
To be verified
54Fourier Sine and Cosine transformsDownload
To be verified
55Parseval's theorem for Fourier seriesDownload
To be verified
56Ordinary Differential equationsDownload
To be verified
57First order ODEsDownload
To be verified
58Linear first order ODEsDownload
To be verified
59Orthogonal TrajectoriesDownload
To be verified
60Exact differential equationsDownload
To be verified
61Special first order ODEsDownload
To be verified
62Solutions of linear first-order ODEsDownload
To be verified
63Revisit linear first-order ODEsDownload
To be verified
64ODEs in disguiseDownload
To be verified
652nd order Homogeneous linear equations with constant coefficientsDownload
To be verified
66The use of a known solution to find anotherDownload
To be verified
67An alternate approach to auxiliary equationDownload
To be verified
68Inhomogeneous second order equationsDownload
To be verified
69Methods to find a Particular solutionDownload
To be verified
70Successive Integration of two first order equationsDownload
To be verified
71Illustrative examples.Download
To be verified
72Variation of ParametersDownload
To be verified
73Vibrations in mechanical systems.Download
To be verified
74Forced Vibrations.Download
To be verified
75ResonanceDownload
To be verified
76Linear SuperpositionDownload
To be verified
77Laplace Transform (LT)PDF unavailable
78Basic Properties of Laplace TransformsPDF unavailable
79Step functions, Translations, and Periodic functionsPDF unavailable
80The Inverse Laplace TransformPDF unavailable
81Convolution of functionsPDF unavailable
82Solving ODEs using Laplace transformsPDF unavailable
83The Dirac Delta functionPDF unavailable
84Properties of the Dirac Delta functionPDF unavailable
85Green's function methodPDF unavailable
86Green's function method: Boundary value problemPDF unavailable
87Power series methodPDF unavailable
88Power series solutions about an ordinary pointPDF unavailable
89Initial value problem: power series solutionPDF unavailable
90Frobenius method for regular singular pointsPDF unavailable


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2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available