Partial Differential Equations and Their Applications

Convener(s)

 
Name: Prof. Arshad Khan Dr. Richa Sharma
Mailing
Address:
Professor
Department of Mathematics
Jamia Millia Islamia, New Delhi,
India-110025
Assistant Professor
Department of Mathematics
Jamia Millia Islamia, New Delhi,
India-110025
Email: akhan2 at jmi.ac.in richasharma582 at gmail.com

Teacher’s Enrichment Workshops (TEW) are conducted by NCM with the financial support from Advancement of Arts and Sciences from India, which is known as ARSI. This program aims to help university and college teachers improve their presentation skills for teaching mathematical concepts in core subjects like Partial Differential Equations and how they are used in real life. This course will help the participants to learn advanced mathematics in an enjoyable way. The main focus will be on better understanding of the fundamental concepts in these three subjects and their applications. The resource persons for the proposed TEW are well established faculty members from renowned institutes, all well versed with teaching skills.

Dates: 

Monday, December 9, 2024 - 19:00 to Saturday, December 14, 2024 - 19:00

Venue: 

Venue Address: 

Department of Mathematics
Jamia Millia Islamia, New Delhi,
India-110025

 

 

Venue State: 

Venue City: 

PIN: 

110025

Syllabus: 

S. No. Name Affiliation Number of Lecture hours (L) and Tutorial hours (T)
1 Prof. Mani Mehra
(Main Speaker-1)
Professor,
Department of Math-ematics,
IIT, Delhi, India
9 L + 6T
2 Prof. K. Sreenadh
(Main Speaker-2)
Professor,
Department of Math-ematics,
IIT, Delhi, India
9 L + 6T
3 Shadab Ali
(Tutor-1)
Research Scholar,
Department of Mathematics,
Jamia Millia Is- lamia, Delhi, India
6T
4 Dr. Mohammad Prawesh Alam
(Tutor-2)
Guest Faculty,
Department of Mathematics,
NIT Kurukshetra, Haryana, India
6T

Course Contents

Topic Number of lecture hours Number of tutorial hours Syllabus to be covered Name of the Speaker
Partial Differential Equations 9 6 Introduction to first order PDEs and their classifi-cation, Method of characteristics, Cauchy problemwith Dirichlet and Neumann conditions.
Heat equation: Fundamental solution, Initial value problem and properties of solutions. Temperature distribution in a finite rod with prescribed physical conditions at the ends, Applications.
Prof. Mani Mehra, IIT, Delhi
Partial Differential Equations 9 6 Wave equation: Vibrating string. Wave equation inone space dimension: D’Alembert’s formula, Non-homogeneous equation. Duhamel’s principle, Applications. Existence theory for elliptic PDEs, Fundamental solutions, Existence and uniqueness of solutions, Maximum principles, Applications. Prof. K. Sreenadh, IIT, Delhi

 

 Reference Books:
(1) Beginning Partial Differential Equations by Peter V. O. Neil.
(2) Elementary Partial Differential Equations by Paul W. Berg and James. L. McGregor.
(3) Partial Differential Equations: An Introduction by Walter A. Strauss.
(4) Partial Differential Equations by Lawrence C. Evans.

Time Table: 

  Tentative Schedule
9th December 2024 to 14th December 2024

 

 

Day Date Lecture 1
09:30 AM
to
11:00 AM
11:00
to
11:30 AM
Lecture 2
11:30 AM
to
01:00 PM
Break
01:00 PM
to
02:00 PM
Discussion/ Tutorial
02:00 PM
to
03:00 PM
03:00 PM
to
03:30 PM
Discussion/ Tutorial
03:30 PM
to
04:30 PM
04:30 PM
to
05:00 PM
Mon 09-12-2024 MM(L) T E A KS(L) LUNCH MM + SA (T) T E A  KS + MP(T) S
Tue 10-12-2024 MM(L) KS(L) MM + SA (T) KS + MP(T) N
Wed 11-12-2024 MM(L) KS(L) MM + SA (T) KS + MP(T) A
Thu 12-12-2024 MM(L) KS (L) MM + SA (T) KS + MP(T) C
Fri 13-12-2024 MM(L) KS (L) MM + SA (T) KS + MP(T) K
Sat 14-12-2024 MM(L) KS (L) MM + SA (T) KS + MP(T) S

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/University University/Institute M.Sc./M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
Outstation Participants
1 58294 Dr. Bhimanand Pandurang Gajbhare Male Vaidyanath College Ambajogai Road, Parli Vaijnath, Dist. Beed (Maharashtra) Associate Professor. Science Collège Nanded 2005 11/01/2022
2 58412 Ms Saloni Gupta Female Banaras Hindu University RESEARCH SCHOLAR KURUKSHETRA UNIVERSITY 2019 04/08/2022
3 58474 Mr. Vikram - Male B K Birla Institute of Higher Education Pilani Asst. Professor Pandit Deendhyal Upadhyaya Shekhwati Univewrsity Sikar 2018  
4 58478 Ms. Surbhi . Female Bennett University PhD South Asian University New Delhi 2017  
5 58554 Mr. Manoj Sheoran Male Banasthali Vidyapith PhD Maharshi Dayanand University, Rohtak 2020  
6 58606 Mr. Jatin Bansal Male Central University of Punjab Research Scholar Panjab University Chandigarh 2019  
7 58628 Mr Ajmal O Male Indian Institute of Space Science and Technology
https://www.atmschools.org/user
PhD Scholar Central University of Kerala 2021  
8 58680 Ms. Saniya Sadaf Ansari Female Banasthali Vidyapith PhD C.C.S. University / N.A.S. College 2022  
9 58752 Dr. Hibah Islahi Female Mangalayatan University Assistant Professor A.M.U. 2009 21/07/2021
10 58909 Dr Swati Agarwal Female Mangalayatan University Assistant Professor St. John's College (Dr. Bhimrao Ambedkar University), Agra 2011 11/01/2019
11 59554 Mr. Ritul Dutta Male Indian institute of technology (BHU) varanasi Junior research fellow University of Delhi Kirorimal college 2022  
12 59576 Ms. Akanksha Kesarwani Female NIT Rourkela Research Scholar SHIATS 2014  
13 59770 Dr Ashutosh Kumar Maurya Male SRM Institute of Science and Technology ASSISTANT PROFESSOR BANARAS HINDU UNIVERSITY 2010 24/11/2022
14 60200 Mr. Deepjyoti Kalita Male Indian Institute of Technology Roorkee, Saharanpur Campus PhD GAUHATI UNIVERSITY 2021  
15 60385 Mr. Om Tripathi Male INDIAN INSTITUTE OF TECHNOLOGY ROORKEE PhD NATIONAL INSTITUTE OF TECHNOLOGY WARANGAL 2023  
16 60687 Dr. Aparna Vyas Female Manav Rachna University Associate Professor M.Sc. Mathematics 2006 12/07/2010
17 60749 Mrs. Dimpal Sharma Female Banaras Hindu University, Varanasi PhD Dayalbagh Educational Institute, Agra 2020  
18 60750 Ms. Mitu Dular Female Banaras Hindu university PhD Banaras Hindu University 2020  
Local Participants
1 58347 Dr. Nikita Setia Female Shaheed Bhagat Singh College, University of Delhi Assistant Professor University of Delhi 2009 19/11/2016
2 58443 Dr Lakshmi Rani Basumatary Female Zakir Husain Delhi College Assistant Professor Gauhati University 2012 24/02/2022
3 58635 Dr. Deepti Kaur Female Mata Sundri College for Women, University of Delhi Assistant Professor Hansraj College, University of Delhi 2009 15/05/2018
4 58636 Mrs. Shahna Khan Female Jamia Millia Islamia Assistant Professor IIT Delhi 2014 11/12/2018
5 58758 Ms Komal Pandey Female University of Delhi Research scholar University of Lucknow 2020  
6 59620 Mrs. Diksha Saini Female Netaji Subhash University of Technology PhD Chaudhary Charan Singh University, Meerut 2020  
7 59625 Mr. Abhishek P Male Netaji Subhash University of Technology PhD Student Chaudhary Charan Singh University Campus,Meerut 2019  
8 59634 Mr Vishal Kumar Male Netaji Subhas University of Technology Project associate University of Hyderabad 2021  
9 59756 Dr. Shubham Jaiswal Male PGDAV College Assistant Professor   2011 29/12/2018
10 60548 Dr. Rajender Kumar Male Deshbandhu College Asso. Prof. CCS University 2007  
11 60645 Ms Ashifa Khan Female JAMIA MILLIA ISLAMIA PhD JAMIA MILLIA ISLAMIA ,NEW DELHI 2022  
12 60716 Mr. Vikendra Singh Male JDMC Asst. Prof. SAU 2015  
13 60726 Mr. Uzair Ahmed Male Jamia Millia Islamia Asst. Professor Indian Institute of Technology Kanpur 2020  
14 60729 Ms. Humera Khan Female Jamia Millia Islamia PhD Scholar D N College, Ch. Charan Singh University, Meerut 2020  

 

 

 

How to Reach: 

TBA

School Short Name: 

pdeta

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0