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| A8004 - NUMERICAL METHODS AND COMPLEX VARIABLES |
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| MODULE - I |
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| Lecture No | Name of the Topic | Lecture By | Video Links | ||||||||||||||||||||||||||||||||||||||||
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1 |
Solution of Algebraic and Transcendental Equation (Bisection Method) |
Dr.Jahnabi Chakravarthy |
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2 |
Regula Falsi Method |
Dr.Jahnabi Chakravarthy |
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3 |
Newton Raphson Method |
Dr.Jahnabi Chakravarthy |
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4 |
Fixed Point Iteration Method |
Dr.Jahnabi Chakravarthy |
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5 |
Gauss Jacobi Iteration Method |
Dr.Jahnabi Chakravarthy |
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6 |
Gauss Seidel Iteration Method |
Dr.Jahnabi Chakravarthy |
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7 |
Interpolation Finite Differences |
Dr.Jahnabi Chakravarthy |
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8 |
Difference Operators |
Dr.Jahnabi Chakravarthy |
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9 |
Newton’s Forward Interpolation Formula |
Dr.Jahnabi Chakravarthy |
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10 |
Newton’s Backward Interpolation Formula | Dr.Jahnabi Chakravarthy | Click for Video | ||||||||||||||||||||||||||||||||||||||||
11 |
Lagrange's Interpolation Formula | Dr.Jahnabi Chakravarthy | Click for Video | ||||||||||||||||||||||||||||||||||||||||
| Click to Download Module-I Lecture Notes |
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| MODULE - II |
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| Lecture No | Name of the Topic | Lecture By | Video Links | ||||||||||||||||||||||||||||||||||||||||
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12 |
Newton’s Cotes Quadrature formula |
Dr.Jahnabi Chakravarthy |
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13 |
Trapezoidal Rule |
Dr.Jahnabi Chakravarthy |
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14 |
Simpson’s 1/3rd Rule |
Dr.Jahnabi Chakravarthy |
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15 |
Simpson’s 3/8th Rule |
Dr.Jahnabi Chakravarthy |
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16 |
Taylor's Series Method |
Dr.Jahnabi Chakravarty |
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17 |
Picard’s Method |
Dr.Jahnabi Chakravarty |
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18 |
Euler’s Method |
Dr.Jahnabi Chakravarty |
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19 |
Modified Euler’s Method |
Dr.Jahnabi Chakravarty |
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20 |
Runge-Kutta 4th Order Method |
Dr.Jahnabi Chakravarty |
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| Click to Download Module-II Lecture Notes |
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| MODULE - III |
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| Lecture No | Name of the Topic | Lecture By | Video Links | ||||||||||||||||||||||||||||||||||||||||
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21 |
Limits and Continuity of Complex Variables |
Mr. V Narender |
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22 |
Examples on Limit of a Complex Function |
Mr. V Narender |
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23 |
Examples on Continuity of Complex Differentiation |
Mr. V Narender |
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24 |
Introduction to Analytic Function and C R equation |
Mr. V Narender |
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25 |
Examples on Analytic Function |
Mr. V Narender |
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26 |
Harmonic and Conjugate Harmonic functions |
Mr. V Narender |
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27 |
Milne-Thomson Method to Construct Analytic Function |
Mr. V Narender |
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28 |
Conformal Mapping |
Mr. V Narender |
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29 |
Bilinear Transformation |
Mr. V Narender |
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| Click to Download Module-III Lecture Notes |
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| MODULE - IV |
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| Lecture No | Name of the Topic | Lecture By | Video Links | ||||||||||||||||||||||||||||||||||||||||
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30 |
Line Integral in Complex Plane |
Ms.M Parameshwari |
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31 |
Cauchy’s Integral Theorem |
Ms.M Parameshwari |
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32 |
Cauchy’s Integral Formula |
Ms.M Parameshwari |
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33 |
Taylor’s Series |
Ms.M Parameshwari |
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34 |
Laurent’s Series |
Ms.M Parameshwari |
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35 |
Zeros, Singular Points and Classification of Isolated Singular Points |
Ms.M Parameshwari |
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| Click to Download Module-IV Lecture Notes |
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| MODULE - V |
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| Lecture No | Name of the Topic | Lecture By | Video Links | |
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36 |
Residue and Examples |
Dr.K Venkata Ramana |
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37 |
Residue Theorem and Problems |
Dr.K Venkata Ramana |
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38 |
Definite Integrals of Type I |
Dr.K Venkata Ramana |
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39 |
Definite Integrals of Type II |
Dr.K Venkata Ramana |
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40 |
Definite Integrals of Type III |
Dr.K Venkata Ramana |
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| Click to Download Module - V Lecture Notes |
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EXAM MODEL PAPERS |
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