Modules / Lectures

Module Name | Download |
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Module Name | Download | Description | Download Size |
---|---|---|---|

Linear Algebra | Self Evaluation | This is questionnaire with answers that covers first module and could be attempted after listening to the first module | 70 |

Theory of Complex Variables | Self Evaluation | This is questionnaire with answers that covers second module and could be attempted after listening to the second module | 106 |

Transform Calculus | Self Evaluation | This is questionnaire with answers that covers third module and could be attempted after listening to the third module | 138 |

Probability and Statistics | Self Evaluation | This is questionnaire with answers that covers fourth module and could be attempted after listening to the fourth module | 146 |

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Review Groups, Fields and Matrices | Download |

2 | Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors | Download |

3 | Basis, Dimension, Rank and Matrix Inverse | Download |

4 | Linear Transformation, Isomorphism and Matrix Representation | Download |

5 | System of Linear Equations, Eigenvalues and Eigenvectors | Download |

6 | Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices | Download |

7 | Jordan Canonical Form, Cayley Hamilton Theorem | Download |

8 | Inner Product Spaces, Cauchy-Schwarz Inequality | Download |

9 | Orthogonality, Gram-Schmidt Orthogonalization Process | Download |

10 | Spectrum of special matrices,positive/negative definite matrices | Download |

11 | Concept of Domain, Limit, Continuity and Differentiability | Download |

12 | Analytic Functions, C-R Equations | Download |

13 | Harmonic Functions | Download |

14 | Line Integral in the Complex | Download |

15 | Cauchy Integral Theorem | Download |

16 | Cauchy Integral Theorem (Contd.) | Download |

17 | Cauchy Integral Formula | Download |

18 | Power and Taylor's Series of Complex Numbers | Download |

19 | Power and Taylor's Series of Complex Numbers (Contd.) | Download |

20 | Taylor's, Laurent Series of f(z) and Singularities | Download |

21 | Classification of Singularities, Residue and Residue Theorem | Download |

22 | Laplace Transform and its Existence | Download |

23 | Properties of Laplace Transform | Download |

24 | Evaluation of Laplace and Inverse Laplace Transform | Download |

25 | Applications of Laplace Transform to Integral Equations and ODEs | Download |

26 | Applications of Laplace Transform to PDEs | Download |

27 | Fourier Series | Download |

28 | Fourier Series (Contd.) | Download |

29 | Fourier Integral Representation of a Function | Download |

30 | Introduction to Fourier Transform | Download |

31 | Applications of Fourier Transform to PDEs | Download |

32 | Laws of Probability - I | Download |

33 | Laws of Probability - II | Download |

34 | Problems in Probability | Download |

35 | Random Variables | Download |

36 | Special Discrete Distributions | Download |

37 | Special Continuous Distributions | Download |

38 | Joint Distributions and Sampling Distributions | Download |

39 | Point Estimation | Download |

40 | Interval Estimation | Download |

41 | Basic Concepts of Testing of Hypothesis | Download |

42 | Tests for Normal Populations | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Review Groups, Fields and Matrices | PDF unavailable |

2 | Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors | PDF unavailable |

3 | Basis, Dimension, Rank and Matrix Inverse | PDF unavailable |

4 | Linear Transformation, Isomorphism and Matrix Representation | PDF unavailable |

5 | System of Linear Equations, Eigenvalues and Eigenvectors | PDF unavailable |

6 | Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices | PDF unavailable |

7 | Jordan Canonical Form, Cayley Hamilton Theorem | PDF unavailable |

8 | Inner Product Spaces, Cauchy-Schwarz Inequality | PDF unavailable |

9 | Orthogonality, Gram-Schmidt Orthogonalization Process | PDF unavailable |

10 | Spectrum of special matrices,positive/negative definite matrices | PDF unavailable |

11 | Concept of Domain, Limit, Continuity and Differentiability | PDF unavailable |

12 | Analytic Functions, C-R Equations | PDF unavailable |

13 | Harmonic Functions | PDF unavailable |

14 | Line Integral in the Complex | PDF unavailable |

15 | Cauchy Integral Theorem | PDF unavailable |

16 | Cauchy Integral Theorem (Contd.) | PDF unavailable |

17 | Cauchy Integral Formula | PDF unavailable |

18 | Power and Taylor's Series of Complex Numbers | PDF unavailable |

19 | Power and Taylor's Series of Complex Numbers (Contd.) | PDF unavailable |

20 | Taylor's, Laurent Series of f(z) and Singularities | PDF unavailable |

21 | Classification of Singularities, Residue and Residue Theorem | PDF unavailable |

22 | Laplace Transform and its Existence | PDF unavailable |

23 | Properties of Laplace Transform | PDF unavailable |

24 | Evaluation of Laplace and Inverse Laplace Transform | PDF unavailable |

25 | Applications of Laplace Transform to Integral Equations and ODEs | PDF unavailable |

26 | Applications of Laplace Transform to PDEs | PDF unavailable |

27 | Fourier Series | PDF unavailable |

28 | Fourier Series (Contd.) | PDF unavailable |

29 | Fourier Integral Representation of a Function | PDF unavailable |

30 | Introduction to Fourier Transform | PDF unavailable |

31 | Applications of Fourier Transform to PDEs | PDF unavailable |

32 | Laws of Probability - I | PDF unavailable |

33 | Laws of Probability - II | PDF unavailable |

34 | Problems in Probability | PDF unavailable |

35 | Random Variables | PDF unavailable |

36 | Special Discrete Distributions | PDF unavailable |

37 | Special Continuous Distributions | PDF unavailable |

38 | Joint Distributions and Sampling Distributions | PDF unavailable |

39 | Point Estimation | PDF unavailable |

40 | Interval Estimation | PDF unavailable |

41 | Basic Concepts of Testing of Hypothesis | PDF unavailable |

42 | Tests for Normal Populations | PDF unavailable |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |