Convener(s)
| Name: | Dr. Asha Gupta | Dr. Rattan Lal | Dr. Ankit Kumar |
| Mailing Address: |
Prof. & Head Department of Mathematics Punjab Engineering College (Deemed to be University) Chandigarh |
Assistant Professor |
Assistant Professor Department of Mathematics Punjab Engineering college (Deemed to be University) Chandigarh |
| Email: | ashagoel at pec.edu.in | rattanlal at pec.edu.in | ankitkumar at pec.edu.in |
This Teachers’ Enrichment Workshop (TEW) aims to familiarize college mathematics teachers with the fundamental concepts of real analysis and group theory. The workshop will emphasize a clear understanding of these topics and focus on simplifying the methods of mathematical proofs for students, while also introducing the abstract nature of mathematics. A key feature of the program is the discussion and tutorial sessions, offering participants the chance to address their queries.
The duration of the TEW is six days. Please note that this workshop is intended for local participants; no accommodation is provided.
Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. The usual length of the TEW is 5/6 days. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.
Dates:
Venue:
Venue Address:
Punjab Engineering College (Deemed to be University)
Sector 12, Chandigarh 160012
Venue State:
Venue City:
PIN:
Syllabus:
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Dr. Surinder Pal Singh Kainth Associate Professor Department of Mathematics Panjab University |
6 |
Completeness axiom, Sequences and their limits, Convergent sequence, Limit theorems, Monotone sequences, Monotone convergence theorem, Subsequences, Bolzano Weierstrass theorem for sequences, Limit superior and limit inferior for sequence, Cauchy sequence, Cauchy’s convergence criterion |
|
Dr Saurabh Verma Assistant Professor Department of Applied Sciences IIIT Allahabad |
6 |
Limits of functions, sequential criterion for limits, divergence criteria, Continuous functions and its properties, Uniform continuity, Differentiability of a real-valued function, Chain rule, Relative extrema, Interior extremum theorem, Rolle’s theorem, Mean-value theorem and its applications, Intermediate value theorem for derivatives |
|
Dr. Dinesh Khurana Professor Department of Mathematics Panjab University |
6 |
Groups, subgroups, Lagrange theorem, quotient groups, isomorphism theorems, symmetric groups, alternating groups, simple groups, simplicity of alternating groups, Group action, Sylow theorems and applications |
|
Dr. Amit Kulshrestha Professor Department of Mathematical Sciences, IISER, Mohali |
6 |
Classification of finite abelian groups. Finitely-generated abelian groups, Free groups, Composition series, Jordan-Hölder theorem, Nilpotent and solvable groups |
References:
1. Algebra, M. Artin, Second Edition
2. Contemporary Abstract Algebra, Joseph Gallian
3. Abstract Algebra, David S. Dummit and Richard M. Foote.
4. Elementary Analysis: The Theory of Calculus, Ross, Kenneth A.
5. A Course in Calculus and Real Analysis, Ghorpade, Sudhir R. and Limaye, B. V. (2006)
6. Introduction to Real Analysis, Bartle, Robert G., & Sherbert, Donald R.
Name of the tutors:
|
S. No. |
Name |
Affiliation |
|
1 |
Dr. Ridhima Thakral |
Punjab Engineering College |
|
2 |
Dr. Swati Bhardwaj |
Punjab Engineering College |
|
3 |
Mr. Kushal Singh |
Punjab Engineering College |
|
4 |
Ms. Kamalpreet Kaur |
Punjab Engineering College |
Time Table:
Time-table (with names of speakers and tutors):
|
Day |
Date |
Lecture 1 (9.30–10.30) |
Tea (10.35-10.55) |
Lecturer 2 (11.00–12.00) |
Lecture 3 (12.00–1.00) |
Lunch (1.00 – 2.20) |
Lecture 4 (2.30-3.30) |
Tea (3.35 -3.55) |
Discussion (4.00-500) |
Snacks (5.05 – 5.35) |
|
Mon |
|
SP |
|
SP |
DK |
|
DK |
|
SP+KS+KK |
|
|
Tue |
|
SP |
|
SP |
DK |
|
DK |
|
DK+SB+RT |
|
|
Wed |
|
SP |
|
SP |
DK |
|
DK |
|
SP+KS+KK |
|
|
Thu |
|
SV |
|
SV |
AK |
|
AK |
|
SV+KS+KK |
|
|
Fri |
|
SV |
|
SV |
AK |
|
AK |
|
AK+SB+RT |
|
|
Sat |
|
SV |
|
SV |
AK |
|
AK |
|
AK+SB+RT |
|
Full forms for the abbreviations of speakers and tutors:
Speakers:
SP: Surinder Pal Singh Kainth
SV: Saurabh Verma
DK: Dinesh Khurana
AK: Amit Kulshrestha
Tutors:
RT: Ridhima Thakral
SB: Swati Bhardwaj
KS: Kushal Singh
KK: Kamalpreet Kaur
Selected Applicants:
| Serial | 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 |
| 1 | 66763 | Dr. Anu Rani | Female | Bennett University | Assistant Professor | SLIET, Punjab | 2017 | 16/10/2022 |
| 2 | 66829 | Dr. Sumati Mahajan | Female | Department of Mathematics, Punjab Engineering College, Sector 12, Chandigarh-160012 | Associate Professor | Department of Mathematics, Panjab University, Chandigarh; M.Sc. | 1988 | 28/09/2020 |
| 3 | 66834 | Mr. Chamkaur Singh | Male | Government Mohindra College , Patiala | Assistant Professor | M.Sc Punjabi University Patiala | 2016 | 22/07/2024 |
| 4 | 66878 | Dr. Raj Bala | Female | Government Post Graduate College, Sector-1 | Associate Professor | Kurukshetra University | 2001 | 18/06/2019 |
| 5 | 66963 | Dr. Kapil Jain | Male | RKSD College | Assistant Professor | Kurukshetra University, Kurukshetra | 2011 | 04/10/2022 |
| 6 | 66967 | Dr. Nancy . | Female | TIERT, Patiala | Assistant Professor (Research Faculty) | Punjabi University | 2014 | 01/10/2019 |
| 7 | 67053 | Dr. Sandeep Dalal | Male | PEC, Chandigarh | Assistant Professor | IIT Delhi | 2012 | 23/09/2021 |
| 8 | 67059 | Mr. Rajwinder Singh | Male | Govt. College Shahbazpur Tarn Taran | Assistant Professor | Punjabi University | 2017 | |
| 9 | 67102 | Dr. Savkirat Kaur | Female | Dev Samaj College for Women | Assistant Professor | Panjab University, Chandigarh | 2015 | 19/09/2025 |
| 10 | 67157 | Dr. Barkha Barkha | Female | Panjab Engineering College, (Deemed to be University), Chandigarh | Contractual Faculty | Delhi University | 2016 | 16/06/2023 |
| 11 | 67188 | Dr. Amit Kumar | Male | Department of mathematics Block DD1, Chandigarh University, Mohali Punjab 140413 | Assistant Professor | CCS university meerut | 2008 | |
| 12 | 67213 | Dr. Jitender Kumar | Male | Govt. College for Girls, Palwal, Kurukshetra, K.U.K. | Assistant Professor | Department of Mathematics, MD University, Rohtak | 2009 | 23/04/2018 |
| 13 | 67262 | Dr Salil Kumar | Male | Sri Guru Gobind Singh College, Sector 26 Chandigarh | Assistant Professor | Panjab University Chandigarh | 2012 | 15/06/2021 |
| 14 | 67263 | Ms. Navdeep Kaur | Female | Punjab Engineering College Deemed to be University | PhD | Shaheed Major Harminderpal Singh Government College Sahibzada Ajit Singh Nagar | 2021 | |
| 15 | 67264 | Ms Kiran Rani | Female | Punjab Engineering College (Deemd to be University) Chandigarh | Phd | Kurukshetra University Kurukshetra | 2018 | |
| 16 | 67294 | Dr. Himanshi Khungar | Female | Punjab Engineering College (Deemed to be University), Chandigarh | Assistant Professor | Panjab University, Chandigarh, M.Sc. (Hons. School) Mathematics | 2020 | 05/08/2025 |
| 17 | 67311 | Mr. Jagjit Singh | Male | Govt. College Ropar | Assistant Professor | Govt. Mohindra College | 2018 | |
| 18 | 67312 | Mr. Parveen Kumar | Male | Punjab Engineering College (Deemed to be University ) | PhD | Kurukshetra University, Kurukshetra | 2016 | |
| 19 | 67313 | Dr. Manu Rohilla | Female | J.C. Bose University of Science and Technology, YMCA, Faridabad, Haryana | Assistant Professor | Hindu College, University of Delhi | 2016 | 09/09/2021 |
| 20 | 67354 | Dr. Ekta Jain | Female | Dr SSBUICET, Panjab University. | Asst. Prof. (Guest Faculty) | Panjab University, Chandigarh | 2013 | 07/05/2021 |
| 21 | 67356 | Mr Amandeep Singh | Male | Govt. College Gurdaspur | Assistant Professor | GNDU | 2016 | |
| 22 | 67358 | Mr. Deepak . | Male | Govt College Ateli | Assistant Professor | MD University Rohtak (Haryana) | 2011 | |
| 23 | 67359 | Mr. Ashish Kumar | Male | Smt. A.A.A. Govt. P.G. College, Kalka | Assistant Professor | Panjab University, Chandigarh | 2015 | |
| 24 | 67365 | Dr. Kirti Bhagirath | Female | Government College Ropar | Asst. Prof | Panjab University | 2015 | 25/02/2024 |
| 25 | 67367 | Mr. Arshdeep Singh | Male | Saroop Rani Government College For Women, Amritsar | Assistant Professor | Panjab University, Chandigarh | 2019 | |
| 26 | 67368 | Dr. Amit Jangra | Male | LPU, Jalndhar | Assistant Professor | GJU Hisar | 20/10/2024 | |
| 27 | 67369 | Ms. Shubhpreet Kaur | Female | Punjab Engineering College (Deemed to be University), Chandigarh | PhD Student | M. Sc. | 2018 | |
| 28 | 67371 | Ms. Pooja Rani | Female | Punjab Engineering College (Deemed to be University), Chandigarh | PhD Student | M.Sc. | 2019 | |
| 29 | 67378 | Dr. Sneha Mittal | Female | Chandigarh University | Assistant Professor | MCM DAV College sector 36, Chandigarh, Punjab University | 2017 | 03/03/2024 |
| 30 | 67386 | Dr Azham Ilyass | Male | Chandigarh University | Assistant Professor | SPPU Pune | 2017 | 10/10/2024 |
| Waiting List | ||||||||
| 1 | 67260 | Ms. Parneet Kaur | Female | Punjab Engineering College (Deemed to be University) | Phd Student | 2022 | ||
| 2 | 67303 | Ms Vaishali . | Female | Punjab Engineering College (Deemed to be University) | PhD | HIMACHAL PRADESH UNIVERSITY SHIMLA | 2019 | |
| 3 | 67302 | Ms. Vandna . | Female | Punjab Engineering College (Deemed to be University) Chandigarh | PhD | DAV PG College Sector 10 Chandigarh | 2022 | |
| 4 | 67319 | Ms. Ria Talwar | Female | Punjab Engineering College | Research scholar | Mehr Chand Mahajan DAV College for Women | 2025 | |
| 5 | 67098 | Mr Rajesh Kumar | Male | Pt. C.L.S. Govt. College Karnal | Assistant Professor | Kurukshetra University Kurukshetra | 2011 | |
| 6 | 66864 | Mr Mohit Gaur | Male | Rksd college Kaithal | Assistant professor | Kurukshetra University | 2011 | |
| 7 | 67211 | Mr. Pankaj Sharma | Male | Shri Vardhman Girls College, Beawar | ASST. PROF. | MDS university | 2016 | |
| 8 | 67363 | Dr. Kushal Singh | Male | Punjab Engineering College, (Deemed to be University), Chandigarh | Guest Faculty | Himachal Pradesh University Shimla | 2017 | 25/09/2025 |
| 9 | 67385 | Dr. Manjeet Singhdhull | Male | PEC chandigarh | Phd | PU Chandigarh | 2016 | |
How to Reach:
TBA