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:
Venue:
Venue Address:
Department of Mathematics
Jamia Millia Islamia, New Delhi,
India-110025
Venue State:
Venue City:
PIN:
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