First Course on Partial Differential Equations - II

By Prof. A. K. Nandakumaran, Prof. P.S. Datti | IISc Bangalore

Learners enrolled: 510

ABOUT THE COURSE:
This is intended to be a first course on the subject Partial Differential Equations, which generally requires 40 lecture hours (One semester course). So, we plan to make this course in two parts – 20 hours each. We plan to offer the first part starting in January 2021 and second part may be in July 2021 or latest by 2022.

INTENDED AUDIENCE : Mathematics, Science and Engineering

PREREQUISITES : First Course on Partial Differential Equations – I (Video Course) Functional Analysis, Integration Theory

Summary

Course Status :	Completed
Course Type :	Core
Language for course content :
Duration :	8 weeks
Category :	Mathematics
Credit Points :	2
Level :	Postgraduate
Start Date :	25 Jul 2022
End Date :	16 Sep 2022
Enrollment Ends :	08 Aug 2022
Exam Date :	25 Sep 2022 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week-1:Hamilton Jacobi Equations
Week-2:Conservation Laws
Week-3:Conservation Laws

Week-4:Laplace and Poisson Equations – Further topics
Week-5:Laplace and Poisson Equations – Further topics
Week-6:Multi-Dimensional Heat Equation
Week-7:Multi-Dimensional Wave Equation
Week-8:Introduction to Weak solutions

Books and references

A. K. Nandakumaran and P. S. Datti, Partial Differential Equations-Classical Theory with a Modern Touch, Cambridge (2020) (Cambridge-IISc Series) Expected to be in the market in April 2020.
L. C. Evans, Partial Differential Equations, AMS (1998)
Fritz John, Partial Differential Equations, Springer-Verlag, Third Edition (1978)
R. C. McOwen, Partial Differential Equations – Method and Applications, Pearson Education, second Edition (2005)
A. K. Nandakumaran, P. S. Datti and Raju K George, Ordinary Differential Equations – Principles and Applications, Cambridge (2017) (Cambridge-IISc Series), Also see, NPTEL Video course (2014) www.nptel.ac.in/courses/111108081

Instructor bio

Prof. A. K. Nandakumaran

IISc Bangalore

A.K. Nandakumaran is a Professor at the Department of Mathematics, Indian Institute of Science, Bangalore.

Prof. P.S. Datti

P.S.Datti is a former faculty at TIFR-CAM, Bangalore.

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: 25 September 2022 Morning 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 6 assignments out of the total 8 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 will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team