Modules / Lectures
Module NameDownload


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
1VectorsPDF unavailable
2Linear vector spacesPDF unavailable
3Linear vector spaces: immediate consequencesPDF unavailable
4Dot product of Euclidean vectorsPDF unavailable
5Inner product on a Linear vector spacePDF unavailable
6Cauchy-Schwartz inequality for Euclidean vectorsPDF unavailable
7Cauchy-Schwartz inequality for vectors from LVSPDF unavailable
8Applications of the Cauchy-Schwartz inequalityPDF unavailable
9Triangle inequalityPDF unavailable
10Linear dependence and independence of vectorsPDF unavailable
11Row reduction of matricesPDF unavailable
12Rank of a matrixPDF unavailable
13Rank of a matrix: consequencesPDF unavailable
14Determinants and their propertiesPDF unavailable
15The rank of a matrix using determinantsPDF unavailable
16Cramer's rulePDF unavailable
17Square system of equationsPDF unavailable
18Homogeneous equationsPDF unavailable
19The rank of a matrix and linear dependencePDF unavailable
20Span, basis, and dimension of a LVSPDF unavailable
21Gram-Schmidt orthogonalizationPDF unavailable
22Vector subspacesPDF unavailable
23Linear operatorsPDF unavailable
24Inverse of an operatorPDF unavailable
25Adjoint of an operatorPDF unavailable
26Projection operatorsPDF unavailable
27Eigenvalues and EigenvectorsPDF unavailable
28Hermitian operatorsPDF unavailable
29Unitary operatorsPDF unavailable
30Normal operatorsPDF unavailable
31Similarity and Unitary transformationsPDF unavailable
32Matrix representationsPDF unavailable
33Eigenvalues and Eigenvectors of matricesPDF unavailable
34Defective matricesPDF unavailable
35Eigenvalues and eigenvectors: useful resultsPDF unavailable
36Transformation of BasisPDF unavailable
37A class of invertible matricesPDF unavailable
38Diagonalization of matricesPDF unavailable
39Diagonalizability of matricesPDF unavailable
40Functions of matricesPDF unavailable
41SHM and wavesPDF unavailable
42Periodic functionsPDF unavailable
43Average value of a functionPDF unavailable
44Piecewise continuous functionsPDF unavailable
45Orthogonal basis: Fourier seriesPDF unavailable
46Fourier coefficientsPDF unavailable
47Dirichlet ConditionsPDF unavailable
48Complex Form of Fourier SeriesPDF unavailable
49Other intervals: arbitrary periodPDF unavailable
50Even and Odd FunctionsPDF unavailable
51Differentiating Fourier seriesPDF unavailable
52Parseval's theoremPDF unavailable
53Fourier series to Fourier transformsPDF unavailable
54Fourier Sine and Cosine transformsPDF unavailable
55Parseval's theorem for Fourier seriesPDF unavailable
56Ordinary Differential equationsPDF unavailable
57First order ODEsPDF unavailable
58Linear first order ODEsPDF unavailable
59Orthogonal TrajectoriesPDF unavailable
60Exact differential equationsPDF unavailable
61Special first order ODEsPDF unavailable
62Solutions of linear first-order ODEsPDF unavailable
63Revisit linear first-order ODEsPDF unavailable
64ODEs in disguisePDF unavailable
652nd order Homogeneous linear equations with constant coefficientsPDF unavailable
66The use of a known solution to find anotherPDF unavailable
67An alternate approach to auxiliary equationPDF unavailable
68Inhomogeneous second order equationsPDF unavailable
69Methods to find a Particular solutionPDF unavailable
70Successive Integration of two first order equationsPDF unavailable
71Illustrative examples.PDF unavailable
72Variation of ParametersPDF unavailable
73Vibrations in mechanical systems.PDF unavailable
74Forced Vibrations.PDF unavailable
75ResonancePDF unavailable
76Linear SuperpositionPDF unavailable
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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7MarathiNot Available
8TamilNot Available
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