Convener(s)
| Name: | Dr. Charu Goel | Dr. Praveen Kumar Dhankar | Mr. Bhagwat Thakran |
| Mailing Address: | Assistant Professor Department of Basic Sciences Indian Institute of Information Technology (IIIT) Nagpur |
Assistant Professor Department of Mathematics G H Raisoni College of Engineering, Nagpur |
Assistant Professor Department of Mathematics G H Raisoni College of Engineering, Nagpur |
| Email: | charugoel at iiitn.ac.in | pkumar6743 at gmail.com | bhagwat.thakran at raisoni.net, bhagwatjaat 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.The purpose of this Program is to nourish the University teachers with presentation skills of mathematical concepts in core subjects of Real Analysis, Algebra and Number Theory. 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 in renowned institutes, all well versed with teaching skills.
Dates:
Venue:
Venue Address:
Department of Mathematics, G H Raisoni College of Engineering, Nagpur, Maharashtra, India –
440016
Venue State:
Venue City:
PIN:
Chrono Order:
Syllabus:
| S.No. | Name | Affiliation | Number of Lecture hours (L) and Tutorial hours (T) |
| 1 | Prof. Kalyan Chakraborty (Main Speaker-1) | Director & Professor, KSCSTE-Kerala School of Mathematics, Kozhikode, Kerala, India |
6 L + 2 T |
| 2 | Prof. Geetha Venkataraman (Main Speaker-2) | Professor of Mathematics, School of Liberal Studies, Dr. B. R. Ambedkar University Delhi, India |
8 L + 2 T |
| 3 | Prof. Varadharaj R. Srinivasan (Main Speaker-3) | Associate Professor, Department of Mathematical Sciences, IISER Mohali, India |
8 L + 2 T |
| 4 | Dr. Jyoti Singh (Guest Speaker-1) | Assistant Professor, Department of Mathematics, VNIT, Nagpur, India |
1 L |
| 5 | Dr. Charu Goel (Guest Speaker-2) |
Assistant Professor of Mathematics, Department of Basic Sciences, IIIT Nagpur, India |
1 L |
| 6 | Dr. Richa Sharma (Tutor-1) | PostDoc Fellow, Institute of Mathematical Sciences (IMSc), India |
2 T |
| 7 | Ms. Neelam (Tutor-2) | Teaching Assistant, Department of Mathematics, Ashoka University, India |
2 T |
| 8 | Dr. Rahul V. Mapari (Tutor-3) | Assistant Professor, Department of Mathematics, Government Vidarbha Institute of Science and Humanities, Amravati, India |
2 T |
(B) Course Contents
| Topic | Number of lecture hours | Number of tutorial hours | Syllabus to be covered | Name of the Speaker |
| Real Analysis | 8 | 2 | Finite, countable and uncountable sets, R as complete ordered field, Sequences and their convergence, Continuous functions and their properties. | Prof. Varadharaj R. Srinivasan |
| Algebra | 8 | 2 | Some history, Quick review of basic group theory: groups, subgroups, homomorphisms, quotient groups, Groups Acting on Sets, Burnside's Lemma and Applications. Cayley's Theorem, Cauchy's Theorem, Class equation, Sylow's Theorems and applications, Exploring Symmetry with an emphasis on the group of rigid motions of a plane. | Prof. Geetha Venkataraman |
| Number Theory | 6 | 2 | Multiplicative functions (basics, Mobius inversion formula), Modular arithmetic (Wilson's theorem, Fermat little theorem, etc.), Primitive roots modulo some prime powers, Quadratic residues, Representation of integers by some quadratic forms, Continues fractions. | Prof. Kalyan Chakraborty |
Reference Books:
(i) Introduction to real analysis by Robert G. Bartle and Donald R. Sherbert
(ii)Introduction to real analysis by William F. Trench
(iii) Contemporary Abstract Algebra by Joseph A. Gallian
(iv)Abstract Algebra by D. S. Dummit and R. M. Foote
(v)Reciprocity Laws: from Euler to Eisenstein by F. Lemmermeyer
(vi)Elementary Number Theory by G. A. Jones and J. M. Jones
(vii) A comprehensive course in number theory by A. Baker
Time Table:
| Day | Date | Lecture 1 09:30 AM to 10:30 AM |
10.30 to 11.00 AM | Lecture 2 11.00 AM to 12.00 PM |
Lecture 3 12:00 PM to 01.00 PM |
Break 01.00 PM to 02.30 PM |
Lecture 4 02.30 PM to 03:30 PM |
03.30 PM to 04:00 PM |
Discussion/ Tutorial 04.00 PM to 05:00 PM |
05.00 PM to 05.30 PM |
| Mon | 03rd July | KC (L) | KC (L) | KC (L) | GV (L) | KC + RS (T) | S | |||
| Tue | 04th July | GV (L) | T | KC (L) | KC (L) | L | KC (L) | T | KC + RS (T) | N |
| Wed | 05th July | VS (L) | E | VS (L) | GV (L) | U | GV (L) | E | GV + N (T) | A |
| Thu | 06th July | GV (L) | A | GV (L) | VS (L) | N | VS (L) | A | VS + RM (T) | C |
| Fri | 07th July | GV (L) | GV (L) | VS (L) | C | VS (L) | GV + N (T) | K | ||
| Sat | 08 th July | VS (L) | VS (L) | JS (L) | H | CG (L) | VS+ RM (T) | S |
Selected Applicants:
Instructions:
- All selected candidates must confirm their participation by 17 June 2023. If no confirmation is received by then, their participation will be cancelled and waiting list participants will get the chance to participate.
- Please note that no travel grant will be given to participants.
- All participants will be provided meals (Lunch, snacks, and tea) during the period July 03 - 08, 2023.
- Applicants who are not from Nagpur should make their other meal (Breakfast/ Dinner) arrangements.
- Participants are requested to bring their own notebooks and pens.
|
Sr. No |
SID |
Full Name |
Gender |
Affiliation |
Position in College/ University |
Year of Passing M.Sc./ M. A |
Year of Ph. D |
|
1 |
47674 |
Mr. Nagesh Dipak Dhore |
Male |
Gramgeet Mahavidyalaya Chimur, Maharashtra |
Assistant Professor |
2014 |
|
|
2 |
49575 |
Dr. Vidhya Tejpal Singh Chauhan |
Female |
Shivaji Science College, Congress Nagar Nagpur |
Assistant Professor |
2002 |
2014 |
|
3 |
47831 |
Ms. Aaiswarya Harshwardhan Goswami |
Female |
Government Polytechnique Nagpur |
Assistant Professor |
2021 |
|
|
4 |
49579 |
Mrs. Sandhya Chauhan |
Female |
Shri Shivaji Science College, Congress Nagar, Nagpur |
Assistant Professor |
2020 |
|
|
5 |
47681 |
Mr. Nitin Nishant Singh Chandel |
Male |
Priyadarshini College of Engineering Nagpur |
Assistant Professor |
2005 |
|
|
6 |
47922 |
Dr Kamini Rajiv Kumar Shukla |
Female |
S. F. S. College |
Assistant Professor |
1988 |
1995 |
|
7 |
49773 |
Ms Jaishree Nivrutti Pawar |
Female |
Shrikrishn Mahavidyalay Gunjoti Omerga Osmanabad |
PhD scholar |
2015 |
|
|
8 |
49783 |
Mr Asfar Hasan Siddiqui |
Female |
Yeshwantrao Chavan College of Engineering, Nagpur |
Assistant Professor |
2010 |
|
|
9 |
49806 |
Mr. Sandip Namdeo Patil |
Male |
Nanasaheb Y. N. Chavan Arts Science and Commerce College,
|
Assistant Professor |
2007 |
|
|
10 |
49867 |
Dr. Seema Sudhir Raut |
Female |
G H Raisoni Institute of Engineering & Technology, Nagpur |
Assistant Professor |
2005 |
2018 |
|
11 |
50012 |
Mr. Amit Marotrao Bagde |
Male |
Late Rajkamalji Bharti Arts, Commerce and Smt.S.R.Bharti Science College, Arni |
Assistant Professor |
2014 |
|
|
12 |
50033 |
Mrs. Sudha Rani Dehri |
Female |
Hislop College, Nagpur |
Assistant Professor |
2011 |
|
|
13 |
50134 |
Mr Shubham Babu Ganvir |
Male |
M. B. Patel college Sakoli |
Assistant Professor |
2019 |
|
|
14 |
50103 |
Dr. Swapnil Prakash Wani |
Male |
A. S. Mandal's C. H. C. Art's, S. G. P. Commerce and B. B. J. P. Science College, Taloda. |
Assistant Professor |
2012 |
|
|
15 |
50149 |
Mr. Vimal Vasant Raut |
Male |
Pankaj Laddhad Institute of Technology and Management Studies |
Assistant Professor |
2005 |
|
|
16 |
50164 |
Mr. Mohammad Junaid Abdul Rashid |
Male |
Anjuman College of Engineering and Technology, Sadar, Nagpur
|
Assistant Professor |
2010 |
|
|
17 |
50163 |
Dr. Navneet Kumar Lamba |
Male |
Shri Lemdeo Patil Mahavidyalaya, Mandhal
|
Assistant Professor |
2007 |
2013 |
|
18 |
50186 |
Dr. Nitin Janraoji Wange |
Male |
Yeshwantrao Chavan College of Engineering, Nagpur |
Assistant Professor |
2008 |
2022 |
|
19 |
50267 |
Dr. Ranjit Gangadhar Ghumde |
Male |
Shri Ramdeobaba College of Engineering and Management, Nagpur |
Assistant Professor |
2005 |
2017 |
|
20 |
50283 |
Mrs Bhawana Tripathi |
Female |
Visvesvaraya National Institute of Technology, South Ambazari Road, Nagpur |
PhD Student |
2018 |
|
|
21 |
50288 |
Dr. Anisa Mushtaque Ahmad |
Female |
G H Raisoni Institute of Engineering and Technology, |
Assistant Professor |
2008 |
2018 |
|
22 |
50289 |
Dr. Prafulla Onkarji Bagde |
Male |
Shri Ramdeobaba College of Engineering and Management, Nagpur |
Assistant Professor |
2007 |
2017 |
|
23 |
50287 |
Ms. Richa Jain |
Female |
Visvesvaraya National Institute of Technology, South Ambazari Road, Nagpur |
PhD Student |
2020 |
|
|
24 |
50291 |
Ms. Archana Gajanan Ingle |
Female |
Gondwana University Gadchiroli |
PhD Student |
2006 |
|
|
25 |
47941 |
Mr. Priyaranjan Mallick |
Male |
National Institute of Technology Raipur, Chhatisgarh |
PhD Student |
2013 |
|
|
26 |
47672 |
Ms. Seemabano Aluddin Shah |
Female |
S.N. Patel Institute of technology and research centre Bardoli, Gujrat |
Assistant Professor |
2018 |
|
|
27 |
47977 |
Dr Seema Singh |
Female |
Chandigarh University, Mohali, Chandigarh, India |
Assistant Professor |
2017 |
2021 |
|
28 |
49388 |
Ms Laisha Laveena Dsouza |
Female |
St Aloysius College (Autonomous) |
Lecturer |
2020 |
|
|
29 |
50029 |
Ms. Sualeha Ehtesham |
Female |
Department of Mathematics Aligarh Muslim University Aligarh
|
MSC Student |
Appeared / Awaiting Result |
|
|
30 |
50143 |
Ms. Kezia Saini |
Female |
The LNM Institute of Information and Technology, Jaipur |
Research Scholar |
2017 |
|
Waiting list
|
Sr. No |
SID |
Full Name |
Gender |
Affiliation |
Position in College/ University |
Year of Passing M.Sc./ M. A |
Year of Ph. D |
|
1 |
50180 |
Ms. Jeni Seles Martina D |
Female |
VIT University |
PhD Student |
2020 |
|
|
2 |
49414 |
Dr. Murugan Varadhan |
Male |
Vellore Institute of Technology, Vellore |
Assistant Professor |
2009 |
2019 |
|
3 |
50179 |
Mrs Neelam Kanwar |
Female |
Central University of Rajasthan |
MSc Student |
Appeared / Awaiting Result |
|
|
4 |
50280 |
Ms Prachi Ramdas Bedare |
Female |
Hislop College |
MSc Student |
Appeared / Awaiting Result |
|
|
5 |
50243 |
Ms. Mrunmayi Thaware |
Female |
Institute of science |
MSc Student |
Appeared / Awaiting Result |
|
|
6 |
49609 |
Ms. Payal Arvind Yende |
Female |
Department of Mathematics RTMNU Nagpur |
MSc Student |
Appeared / Awaiting Result |
|
|
7 |
49843 |
Ms. Trupti Arun Akhare |
Female |
Shri Shivaji Science College, Congress Nagar, Nagpur |
MSc Student |
Appeared / Awaiting Result |
|
|
8 |
49670 |
Ms Chanchal Rajesh Jain |
Female |
S.S.E.S Amravati's Science College,Nagpur |
Assistant Professor |
2018 |
|
|
9 |
47743 |
Mr. Amitkumar Dilip Pandey |
Male |
Department of Physics,RTM Nagpur University Nagpur |
MSc Assistant Professor Student |
Appeared / Awaiting Result |
|
|
10 |
48221 |
Dr. Akhilamad Gulamzamir Sheikh |
Male |
G. H. Raisoni College of Engineering, Nagpur |
Assistant Professor |
2007 |
2018 |
How to Reach:
Address: G H Raisoni College of Engineering, CRPF Gate, No.3, Hingna Road, Digdoh Hills, Nagpur, Maharashtra 440016
https://goo.gl/maps/5sJ5wdXt52cCTjZP8