Modules / Lectures


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
Verified
2Linear vector spacesDownload
Verified
3Linear vector spaces: immediate consequencesDownload
Verified
4Dot product of Euclidean vectorsDownload
Verified
5Inner product on a Linear vector spaceDownload
Verified
6Cauchy-Schwartz inequality for Euclidean vectorsDownload
Verified
7Cauchy-Schwartz inequality for vectors from LVSDownload
Verified
8Applications of the Cauchy-Schwartz inequalityDownload
Verified
9Triangle inequalityDownload
Verified
10Linear dependence and independence of vectorsDownload
Verified
11Row reduction of matricesDownload
Verified
12Rank of a matrixDownload
Verified
13Rank of a matrix: consequencesDownload
Verified
14Determinants and their propertiesDownload
Verified
15The rank of a matrix using determinantsDownload
Verified
16Cramer's ruleDownload
Verified
17Square system of equationsDownload
Verified
18Homogeneous equationsDownload
Verified
19The rank of a matrix and linear dependenceDownload
Verified
20Span, basis, and dimension of a LVSDownload
Verified
21Gram-Schmidt orthogonalizationDownload
Verified
22Vector subspacesDownload
Verified
23Linear operatorsDownload
Verified
24Inverse of an operatorDownload
Verified
25Adjoint of an operatorDownload
Verified
26Projection operatorsDownload
Verified
27Eigenvalues and EigenvectorsDownload
Verified
28Hermitian operatorsDownload
Verified
29Unitary operatorsDownload
Verified
30Normal operatorsDownload
Verified
31Similarity and Unitary transformationsDownload
Verified
32Matrix representationsDownload
Verified
33Eigenvalues and Eigenvectors of matricesDownload
Verified
34Defective matricesDownload
Verified
35Eigenvalues and eigenvectors: useful resultsDownload
Verified
36Transformation of BasisDownload
Verified
37A class of invertible matricesDownload
Verified
38Diagonalization of matricesDownload
Verified
39Diagonalizability of matricesDownload
Verified
40Functions of matricesDownload
Verified
41SHM and wavesDownload
Verified
42Periodic functionsDownload
Verified
43Average value of a functionDownload
Verified
44Piecewise continuous functionsDownload
Verified
45Orthogonal basis: Fourier seriesDownload
Verified
46Fourier coefficientsDownload
Verified
47Dirichlet ConditionsDownload
Verified
48Complex Form of Fourier SeriesDownload
Verified
49Other intervals: arbitrary periodDownload
Verified
50Even and Odd FunctionsDownload
Verified
51Differentiating Fourier seriesDownload
Verified
52Parseval's theoremDownload
Verified
53Fourier series to Fourier transformsDownload
Verified
54Fourier Sine and Cosine transformsDownload
Verified
55Parseval's theorem for Fourier seriesDownload
Verified
56Ordinary Differential equationsDownload
Verified
57First order ODEsDownload
Verified
58Linear first order ODEsDownload
Verified
59Orthogonal TrajectoriesDownload
Verified
60Exact differential equationsDownload
Verified
61Special first order ODEsDownload
Verified
62Solutions of linear first-order ODEsDownload
Verified
63Revisit linear first-order ODEsDownload
Verified
64ODEs in disguiseDownload
Verified
652nd order Homogeneous linear equations with constant coefficientsDownload
Verified
66The use of a known solution to find anotherDownload
Verified
67An alternate approach to auxiliary equationDownload
Verified
68Inhomogeneous second order equationsDownload
Verified
69Methods to find a Particular solutionDownload
Verified
70Successive Integration of two first order equationsDownload
Verified
71Illustrative examples.Download
Verified
72Variation of ParametersDownload
Verified
73Vibrations in mechanical systems.Download
Verified
74Forced Vibrations.Download
Verified
75ResonanceDownload
Verified
76Linear SuperpositionDownload
Verified
77Laplace Transform (LT)Download
Verified
78Basic Properties of Laplace TransformsDownload
Verified
79Step functions, Translations, and Periodic functionsDownload
Verified
80The Inverse Laplace TransformDownload
Verified
81Convolution of functionsDownload
Verified
82Solving ODEs using Laplace transformsDownload
Verified
83The Dirac Delta functionDownload
Verified
84Properties of the Dirac Delta functionDownload
Verified
85Green's function methodDownload
Verified
86Green's function method: Boundary value problemDownload
Verified
87Power series methodDownload
Verified
88Power series solutions about an ordinary pointDownload
Verified
89Initial value problem: power series solutionDownload
Verified
90Frobenius method for regular singular pointsDownload
Verified


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2BengaliNot Available
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4HindiNot Available
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7MarathiNot Available
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