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Swayam Central

A short lecture series on contour integration in the complex plane

By Prof. Venkata Sonti   |   IISc Bangalore
This course involves a very brief theory on complex variables and several examples on contour integration that use branch cuts and indentations in the complex plane. There are several elaborate courses on complex variables but not enough on this particular application.

INTENDED AUDIENCE: Masters and PhD students
PREREQUISITES:          Basic Engineering Mathematics



SUMMARY

Course Status : Upcoming
Course Type : Elective
Duration : 4 weeks
Start Date : 29 Jul 2019
End Date : 23 Aug 2019
Exam Date : 29 Sep 2019
Category :
  • Mechanical Engineering
  • Level : Undergraduate
    This is an AICTE approved FDP course

    COURSE LAYOUT


    Week 1: Theory : Theory of complex variables:
    Week 2: Theorems
    Week 3: Examples
    Week 4: Examples and Laplace transform

    BOOKS AND REFERENCES

    1) Complex variables and applications by J. W. Brown and R. V. Churchill 
    2)  Complex variables: Introduction and applications by S. Fokas and M. J. Ablowitz
    3) Functions of a complex variable: Theory and technique by C. E. Pearson, G. F. Carrier, M. Krook

    INSTRUCTOR BIO



    Prof. Venkata Sonti Faculty at IISc Bangalore.,Department of Mechanical Engineering, since 1999. Specialization: sound and vibration.


    COURSE CERTIFICATE

    • The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
    • The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
    • Date and Time of Exams: 29 September 2019Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
    • Registration url: Announcements will be made when the registration form is open for registrations.
    • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
    • Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

    CRITERIA TO GET A CERTIFICATE
    • Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course.
    • Exam score = 75% of the proctored certification exam score out of 100
    • Final score = Average assignment score + Exam score

    YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75
    • If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
    • Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IISc Bangalore. It will be e-verifiable at nptel.ac.in/noc.
    • Only the e-certificate will be made available. Hard copies are being discontinued from July 2019 semester and will not be dispatched

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