NOC:A Short Lecture Series on Contour Integration in the Complex Plane (USB)

Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. Venkata Sonti

NPTEL Co-ordinating Institute : IISc Bangalore

NPTEL Lecture Count : 25

NPTEL Course Size : 3.5 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

Lecture 1 - Introduction to complex variables
Lecture 2 - Cauchy Riemann Equations
Lecture 3 - Analytic Functions
Lecture 4 - Simple definitions
Lecture 5 - Definition of sets, domains, theorem on antiderivative
Lecture 6 - Cauchy Gorsat Theorem
Lecture 7 - Implications of Cauchy Gorsat Theorem, Cauchy Integral Formula
Lecture 8 - Implications of CIF, converse of CG theorem
Lecture 9 - Examples in contour integrals, ratios of polynomials
Lecture 10 - Contour integration of sinc function
Lecture 11 - Method of path deformation
Lecture 12 - Method of path deformation (Continued...)
Lecture 13 - Infinite and finite branch cuts
Lecture 14 - Finite Branch Cut
Lecture 15 - Infinite branch cut example
Lecture 16 - Contour integration: rectangular contour
Lecture 17 - Finite square root branch cut
Lecture 18 - Example on finite branch cut
Lecture 19 - Pole on a branch cut
Lecture 20 - L shaped branch cut
Lecture 21 - L shaped branch cut continued
Lecture 22 - Inverse Laplace Transform
Lecture 23 - Inverse Laplace Transform (Continued...)
Lecture 24 - Additional material or corrections to lectures
Lecture 25 - Summary of the total course