A8001 - MATRICES AND CALICULUS
MODULE - I
Lecture No Name of the Topic Lecture By Video Links
1
Introduction of Matrices and Rank of a Matrix
Mr.B Chandra Sekhar
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2
Echelon form
Mr.B Chandra Sekhar
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3
Normal form
Mr.B.Chandrasekhar
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4
Homogeneous system
Mr.B Chandrasekhar
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5
Non Homogeneous system
Mr.B Chandrasekhar
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6
Inverse of a Matrix
Mr.B Chandrasekhar
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7
Gauss-Seidal Method
Mr.B Chandrasekhar
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MODULE - II
Lecture No Name of the Topic Lecture By Video Links
8
Inroduction on Eigen Values and Eigen Vectors
Mr B.Chandrasekhar
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9
Examples on Eigen Values and Eigen Vectors I
Mr B.Chandrasekhar
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10
Examples on Eigen Values and Eigen Vectors II
Mr B.Chandrasekhar
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11
Properties of Eigen Values and Eigen Vectors for real and complex matrices-1
Mr B.Chandrasekhar
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12
Introduction on Cayley Hamilton Theorem
Mr B.Chandrasekhar
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13
Examples on Cayley Hamilton Theorem I
Mr B.Chandrasekhar
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14
Examples on Cayley Hamilton Theorem II
Mr B.Chandrasekhar
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15
Reduction of a matrix to diagonal form I
Mr B.Chandrasekhar
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16
Quadratic form I
Mr B.Chandrasekhar
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MODULE - III
Lecture No Name of the Topic Lecture By Video Links
17
Gamma function
Dr K.venkat Ramana
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18
Beta function
Dr K.venkat Ramana
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19
Beta function Continued
Dr K.venkat Ramana
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20
Legranges Theorem
Dr K.venkat Ramana
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21
Rolle’s Theorem
Dr K.venkat Ramana
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22
Cauchy’s Mean Value Theorem, Taylor, and Maclaurin’s Theorem
Dr K.venkat Ramana
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23
Limit and Continuity
Dr V.Naganjaneyulu
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MODULE - IV
Lecture No Name of the Topic Lecture By Video Links
24
Partial Differentiation
Dr V.Naganjaneyulu
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25
Euler’s Theorem
Dr V.Naganjaneyulu
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26
Jacobian
Dr V.Naganjaneyulu
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27
Functional Dependence
Dr V.Naganjaneyulu
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28
Minimum and Maximum
Dr V.Naganjaneyulu
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29
Lagrange’s Method of undetermined multipliers
Dr V.Naganjaneyulu
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MODULE - V
Lecture No Name of the Topic Lecture By Video Links
30
Evaluation of Double Integrals
Dr V.Naganjaneyulu
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31
Change of Variables in Double Integrals
Dr V.Naganjaneyulu
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32
Change of order of Integration
Dr V.Naganjaneyulu
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33
Evaluation of triple Integrals
Dr V.Naganjaneyulu
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34
Applications of Multiple Integrals
Dr V.Naganjaneyulu
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