< Back to Faculties

Dr. Ruchi Kaur

Assistant Professor Mathematics

Email Address : ruchi@sgtbkhalsa.du.ac.in

Address :

  1. Awarded Ph.D. in Mathematics from University of Delhi, Delhi in February, 2011.
  2. 1998–2000: M.Sc. Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi, Delhi with an aggregate percentage of 69.68%.
  3. 1995–1998: B.Sc. (Hons) Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi, Delhi with an aggregate percentage of 66.33%.

  • Assistant Professor , 29th June, 2022 – Present , Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi
  • Assistant Professor (Ad-hoc) , 2nd August, 2011 – 29th June, 2022 , Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi
  • Assistant Professor (Ad-hoc) , 29th January – 1st August, 2011 , Department of Mathematics, Deshbandhu College, University of Delhi
  • Guest Lecturer , July, 2010 – April, 2011 , Department of Mathematics, Daulat Ram College, University of Delhi
  • Guest Lecturer , July, 2009 – March, 2010 , Department of Mathematics, Daulat Ram College, University of Delhi
  • Guest Lecturer , August, 2009 – March, 2010 , Department of Mathematics, Satyawati College, University of Delhi

Theory

  • B.Sc. (Hons.) Mathematics - Algebra, Analysis, Calculus, Group Theory, Linear Algebra, Linear Programming, Ordinary Differential Equations, Partial Differential Equations, Ring Theory.
  • B.A. (Prog.) & B.Sc. (Prog.) - Abstract Algebra, Analytical Geometry, Calculus and Geometry, Real Analysis.

Practical

  • Practical work done with Mathematica and Spreadsheet Tools for the papers: Analysis, Calculus, Ordinary Differential Equations, Partial Differential Equations, Numerical Methods, Probability and Statistics.

  1. Functioning as Programme Officer of NSS unit of Sri Guru Tegh Bahadur Khalsa College, University of Delhi since October, 2023.
  2. Functioning as Nodal Officer of Viksit Bharat Ambassador Club of Sri Guru Tegh Bahadur Khalsa College, University of Delhi hosting various events promoting the vision of an empowered India, including marathons, case competitions, group discussions, and seminars since October, 2023.
  3. Have been actively involved in various social welfare activities including awareness lectures for students and staff on various topics, a blood donation camp, cancer awareness workshop, donation drives, and plantation drives organised by NSS unit of Sri Guru Tegh Bahadur Khalsa College, University of Delhi.
  4. Have been an active member of some or all of the literary and cultural societies including Annual Prize Distribution Function, Students' Welfare Committee, Lashkara (The Annual Cultural Festival), Gandhi Study Circle, Ted’X, Swarang (Music Society), ICC, NCC, and NSS units of Sri Guru Tegh Bahadur Khalsa College, University of Delhi since 2011.
  5. Have regularly been a member of Time-table Committee, Admission Committee, Examination Control Room, and Shoonya, the departmental society of Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College.
  6. Had been involved in the paper setting of End-semester Examinations, paper evaluation in every semester and re-evaluation whenever asked for, in University of Delhi.

  1. Contributed as Convener to the International Conference on Mathematical Sciences and its Applications (ICMSA 2024) organised by Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi, Delhi – 110007 during October 15–17, 2024.
  2. Delivered an invited lecture titled Mathematical Modeling of Dynamics of Covid-19 across a Region in the Online Faculty Development Programme on Recent Trends in Biomathematics & Dynamical Systems with Bifurcation, Chaos & Simulation Methods organised by the Department of Mathematics, Mahadevananda Mahavidyalaya, from 7–13th February, 2024.
  3. Delivered an invited lecture titled Introduction to Mathematica Software and its Application in Dynamical Systems in the Online Faculty Development Programme on Recent Trends in Biomathematics & Dynamical Systems with Bifurcation, Chaos & Simulation Methods organised by the Department of Mathematics, Mahadevananda Mahavidyalaya, from 7–13th February, 2024.
  4. Delivered an invited lecture titled Mathematical Modeling of Transmission dynamics of Chikungunya Virus in the Online Faculty Development Programme on Recent Trends in Biomathematics & Dynamical Systems with Bifurcation, Chaos & Simulation Methods organised by the Department of Mathematics, Mahadevananda Mahavidyalaya, from 7–13th February, 2024.
  5. Presented a paper entitled Jacobi Elliptic Function Method for g-CHKP Equation with Paper ID 072 in the International Conference on Recent Trends in Mathematics, Statistics, and Engineering organised by School of Technology Management and Engineering SVKM’s NMIMS, Indore on 22-23rd December, 2023.
  6. Presented paper entitled Mathematical Modeling with Role of Media Awareness to Control the Spread of Covid-19 in National Conference RAAS-2023, Organised by EPCET held on 28th July, 2023.
  7. Presented a paper on the title Mathematical Modelling of Transmission Dynamics in COVID-19 during the International Conference on Research Trends in Contemporary Mathematics (ICRTCM 2023) organised by PG Department of Mathematics, Patrician College of Arts and Science, Chennai in collaboration with PG & Research Department of Mathematics, Sacred Heart College, Tirupattur on 3rd and 4th February, 2023.
  8. Presented a research paper entitled Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation in the International Conference on Graphs, Networks and Combinatorics (ICGNC 2023) organised by the Department of Mathematics, Ramanujan College during 10–12th January, 2023.
  9. Contributed as Member of the Organising Committee in the National Conference on First Sikh History Congress jointly organised by Sri Guru Tegh Bahadur Khalsa College, University of Delhi; Indian Council of Historical Research; Indira Gandhi National Centre for Arts; Delhi Sikh Gurdwara Management Committee and TLC, Sri Guru Tegh Bahadur Khalsa College, University of Delhi from 5th January to 7th January 2023.
  10. Successfully performed the responsibility of mentorship in the workshop on Group Theory organised by Miranda House, 27–29th January, 2021.
  11. Contributed as a Member of the Organising Committee of the Student Development Programme on Data Analysis Using R & Python from 20th October – 4th November, 2020 held online at Sri Guru Tegh Bahadur Khalsa College, University of Delhi in collaboration with Spoken Tutorial, IIT Bombay.

  1. Currently supervising and working in collaboration with around 10 students from the undergraduate and alumni community of Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi who are working on different research problems on Mathematical Modelling and solutions of differential equations. Based on the study, two articles are communicated to reputed journals and a few are in preparation.

  1. Ruchi Kaur, Sukhjit Singh, Ishita Jhamb, Nimmi Singh and Kuldeep Kumar, Mathematical Model of Star Formation in the Presence of External Perturbations, Bulgarian Astronomical Journal, Vol.41, 38–54, 2024.
  2. Ruchi Kaur, Prabhanshi, Lie Symmetry Analysis Of A Mathematical Model For COVID-19. Accepted for publication in the edited book “Advances in Functional Spaces, Dynamical Systems and Their Applications” to be published by Springer.
  3. Ruchi Arora, Dharmendra Kumar, Ishita Jhamb and Avina Kaur Narang, Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation, CUBO, A Mathematical Journal, Vol.22, No.02, 177–201, August 2020.
  4. Ruchi Kaur, Mathematics in India: Past and Present, Chapter in the edited book “India’s Contemporary Past: Politics, Economy, Society and Literature”, ISBN: 978-93-85334-38-2, Academic Avenue, 2018.
  5. Dr. Inderdeep Kaur, Dr. Anjana Sagar and Dr. Ruchi Arora, Learning From Tribes: Tree Worship and Conservation – A Short Communication, Transframe, A Bilingual, Bimonthly Multidisciplinary International e-Journal, ISSN: 2455-0310, March-April issue-2018.
  6. C.S. Lalitha and Ruchi Arora, Proximal Proper Saddle Points in Set-Valued Optimization, included as a chapter in book: Topics in NonConvex Optimization and its applications, Vol.50, 2011, 87-100.
  7. C.S. Lalitha and Ruchi Arora, Proper Clarke Epiderivative in Set-Valued Optimization, Taiwanese Journal of Mathematics, Vol.13, 2009, 1695-1710.
  8. C.S. Lalitha and Ruchi Arora, Weak Clarke Epiderivative in Set-Valued Optimization, Journal of Mathematical Analysis and Applications, Vol. 342, 2008, 704-714.
  9. C.S. Lalitha and Ruchi Arora, Conjugate Maps, Subgradients and Conjugate Duality in Set-Valued Optimization, Numerical Functional Analysis and Optimization, Vol.28, 2007, 897-909.
  10. C.S. Lalitha and Ruchi Arora, Proximal Proper Efficiency in Set-Valued Optimization, Omega-The Journal of Management Sciences, Vol.33, 2005, 407-411.
  11. C.S. Lalitha and Ruchi Arora, Proximal Proper Efficiency for Minimisation with respect to Normal Cones, Bulletin of Australian Mathematical Society, Vol. 71, 2005, 215-224. 

  1. Successfully supervised the project entitled Analytical Solutions of Non-linear Higher Order Partial Differential Equations sanctioned under the summer projects approved by Science and Research Cell, Sri Guru Tegh Bahadur Khalsa College, University of Delhi in the academic year 2023–24. Research article formulated by the compiled findings of the project is communicated to reputed journal for possible publication.
  2. Successfully supervised the project entitled Simulation Modelling to operate the control of a serious Indian crop pest Spodoptera litura (Fabr.) by the modified Sterile Insect Technique sanctioned under the summer projects approved by Science and Research Cell, Sri Guru Tegh Bahadur Khalsa College, University of Delhi in the academic year 2018–19.
  3. Successfully supervised the project entitled Mathematical Modelling of Transmission Dynamics of Chikungunya Virus sanctioned under the summer projects approved by Science Center, Sri Guru Tegh Bahadur Khalsa College, University of Delhi in the academic year 2017–18. Research work published in an international journal and the work was exhibited by the students in the form of a poster on National Science day at INSA (28th February, 2018).    
  4. Successfully supervised the project entitled A study of tribal groups of Jharkhand – an ethnographic approach, sponsored by the University of Delhi under the Innovation Projects, 2015–2016. Research work published in a national journal and the work was exhibited by the students in the form of a poster in an inter-college competition.
  5. Successfully supervised the project entitled Analysis of Ecological Footprints of Various Socio-economic Strata of the Society, sponsored by the University of Delhi under the Innovation Projects, 2013–2014.

  1. Received Senior Research Fellowship SRF-CSIR from April, 2005 to March, 2008 independently and not as an extension to JRF, directly on the basis of self-financed satisfactory research work for four years.
  2. Received award for contributing best Teachers’ e-Kit under MHRD sponsored Faculty induction Programme organised by Teaching Learning Center (TLC), Sri Guru Tegh Bahadur Khalsa College, University of Delhi during 16th December 2017 – 13th January 2018.
  3. Contributed ten modules on Mathematics for Economics paper “Quantitative Methods 1 (Mathematical Methods)” under the UGC sponsored project of e-PG Pathshaala at Center for e-learning in 2016 (Module numbers: 21–24, 27–30, 39, 40). Website: https://epgp.inflibnet.ac.in/Home/ViewSubject?catid=NEp/xikgBgNtfA+sgFQAcA==
  4. Received First Prize in Best Theoretical Paper category in the National Symposium, RAOTA, 2006.
  5. Received Second Best Student Paper award in the International conference, APORS, 2003.

  1. Currently a member of Governing Body of Sri Guru Tegh Bahadur Khalsa College, University of Delhi.
  2. Had been a member of the governing body of Mata Jai Kaur Public School, Ashok Vihar-III, Delhi-110052 during April, 2017 – March, 2019.
  3. Have been a member of the research group “Mathematical Programming Group” of Department of Mathematics, University of Delhi since 2001.

  1. Successfully completed 1-day Master Trainer’s Training Programme on My (Mera Yuva) Bharat Portal held by National Institute of Technology, Delhi sponsored by Department of Youth Affairs, Ministry of Youth Affairs & Sports on 11th July, 2024.
  2. Successfully completed the Online Workshop on Recent Development of Mathematical Sciences on Biological and Dynamical Systems with Fuzzy and Fractional Environments organised by the Department of Mathematics, Mahadevananda Mahavidyalaya, from 19-29th June, 2024.
  3. Successfully completed the Online Certificate Course on Mathematical Modelling on Biological & Physical Systems with Different Simulation Techniques organised by the Department of Mathematics, Mahadevananda Mahavidyalaya, from 4–9th January, 2024.
  4. Successfully completed the two-week Online Training Programme on NEP 2020 Orientation & Sensitization Programme under Malaviya Mission Teacher Training Programme (MM-TTP) of University Grants Commission (UGC) organised by Mahatma Hansraj Malaviya Mission Teacher Training Centre (MH-MMTTC), Hansraj College, University of Delhi during 16–30th December, 2023.
  5. Participated in the 5-day Workshop on Linear Algebra and its Applications sponsored by SERB (DST) organised by “The NorthCap University” during 21–25th August, 2023.
  6. Participated in 1-week Online National Workshop on Mathematical Modelling with Simulation in Applied Sciences sponsored by DST-SERB and organised by the Department of Mathematics, Central University of Haryana, Mahendergarh, India, from 22–26th May, 2023.
  7. Participated in one-week Online Faculty Development Program on Data Analysis using R Software organised by P.G.D.A.V. College (Evening), University of Delhi during 17–23th January, 2023.
  8. Successfully completed 15-day Online National Refresher Course Python: Essentials, Programming and Analytics & Statistics with ‘R’, Financial Database and Analysis Software jointly organised by University of Delhi and Guru Angad Dev Teaching Learning Centre, Sri Guru Tegh Bahadur Khalsa College, University of Delhi under PMMMNMTT, Ministry of Education during 27th October – 11th November, 2022.
  9. Successfully completed a 4-week Faculty Induction/Orientation Programme for Faculty in Universities/Colleges/Institutes of Higher Education organised by TLC, Ramanujan College, University of Delhi sponsored by PMMMNMTT, Ministry of Education from 20th July to 18th August, 2022 and secured A+ grade.
  10. Successfully completed 1-week Online National Faculty Development Program on Basics of Research Methodology and Issues in Plagiarism (An Interdisciplinary Approach) organised by Guru Angad Dev Teaching Learning Centre, a Centre under PMMMNMTT, Ministry of Education and Department of Business Economics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi from 31st May to 06th June, 2022.
  11. Successfully attended and completed 1-week Faculty Development Programme on Meaningful Research and Intellectual Property Rights from 18-24th October, 2021 organised by Teaching Learning Centre, Ramanujan College University of Delhi in collaboration with Rajkiya Engineering College, Kannauj, Uttar Pradesh and Satyawati College (M), University of Delhi under the aegis of PMMMNMTT, Ministry of Education.
  12. Successfully completed 2-week Online National Faculty Development Program on Biostatistical & Mathematical Skills with Excel and R organised by Guru Angad Dev Teaching Learning Centre, a Centre under PMMMNMTT, Ministry of Education and Department of Botany & Department of Mathematics, Sri Guru Tegh Bahadur Khalsa College, University of Delhi from 16–31st August, 2021.
  13. Successfully completed 2-week Refresher Course in “Mathematics” organised by Department of Mathematics and TLC, Ramanujan College sponsored by PMMMNMTT, Ministry of Education during 16–30th March 2021.
  14. Participated in the INSA & NCM joint Online Teacher’s Enrichment Workshop on Differential Equations and its Applications hosted by Deshbandhu College, University of Delhi, New Delhi during 15–28th March, 2021.
  15. Successfully completed 2-week Online Faculty Development Programme on Learning Advanced E-tools for MOOCs Development & Research organised by the Teaching Learning Centre of Ramanujan College, University of Delhi from 1–14th September, 2020.
  16. Successfully completed a Faculty Development Programme on ICT Enhanced Teaching Learning And Creating MOOCs that began on 18th August, 2020 under the most coveted MHRD-sponsored PMMMNMTT, Ministry of Education organised by Teaching Learning Centre (TLC), RAMANUJAN COLLEGE in association with SHIVAJI COLLEGE, University of Delhi, 18–25th August, 2020.
  17. Successfully completed the 1-week National Online Faculty Training Program on Pedagogical Training For Effective Online Teaching and Learning held by Deen Dayal Upadhyay College, University of Delhi & K.T.H.M. College, Nashik from 3–10th August, 2020.
  18. Attended a National Webinar under Internal Quality Assurance Cell (IQAC) on Financial Mathematics: Pedagogy and Career Perspectives organised by Department of Mathematics, Lady Shri Ram College for Women, University of Delhi from 27–31th July, 2020.
  19. Attended 1-week Online Workshop on Data Manipulation and Visualization through Statistical Software R organised by Zakir Husain Delhi College (University of Delhi) under DBT-Star College Scheme, Govt. of India during 27–31st July, 2020.
  20. Participated in 2-day Online National Workshop entitled Online Teaching-Learning using LMS - MOODLE organised by Guru Angad Dev Teaching Learning Centre, Sri Guru Tegh Bahadur Khalsa College, University of Delhi under the PMMMNMTT, MHRD on 24th-25th July 2020.
  21. Participated in 7-day National Faculty Development Programme organised by Teaching Learning Centre of Ramanujan College, University of Delhi and Indian Accounting Association, NCR Chapter during 20–26th July, 2020.
  22. Participated in the Teachers Enrichment workshop on Algebra & its Applications held at Shivaji College, University of Delhi, 6–11th May, 2019.
  23. Participated in 1-day National Workshop on Applications of Mathematica: A Scientific and Mathematical Tool organised by jointly by Guru Angad Dev Teaching Learning Centre of MHRD and Wolfram, the creator of Mathematica software, on 9th March 2018.
  24. Participated in 1-day Faculty Empowerment Workshop entitled National Workshop on Introduction to Virtual Class for Blended Learning organised by Guru Angad Dev Teaching Learning Centre of MHRD, Sri Guru Tegh Bahadur Khalsa College, University of Delhi, on 6th March 2018.
  25. Participated in 2-day Faculty Empowerment Workshop entitled National Workshop on Application of Voice Culture and Modulation held at Guru Angad Dev Teaching Learning Centre, Sri Guru Tegh Bahadur Khalsa College, University of Delhi, on 13–14th February, 2018.
  26. Successfully completed the 1-month (4-week) Faculty Induction Program of the Ministry of HRD, Government of India organised by TLC, Sri Guru Tegh Bahadur Khalsa College, University of Delhi held from 16th December, 2017 to 13th January, 2018.
  27. Participated in the 1-day Workshop on Latex - a Scientific ICT Tool for Publishing held at Guru Angad Dev Teaching Learning Centre of MHRD at Sri Guru Tegh Bahadur Khalsa College, University of Delhi, on 6th November, 2017.
  28. Participated in the 1-day Workshop on Anti-Plagiarism ICT Tools held at TLC, Guru Tegh Bahadur Khalsa College, University of Delhi, on 4th October, 2017.
  29. Participated in National Workshop on Mathematical Modelling and Computational Techniques using Mathematica organised by Zakir Husain College, University of Delhi during 30–31st March, 2017.
  30. Participated in Workshop on Computational Optimization organised by Department of Mathematics, Sri Venkateswara College, University of Delhi on 5th February, 2015. 
  31. Participated in SAKSHAM-IT Champion Training Program conducted by Microsoft, organised by Sri Guru Tegh Bahadur Khalsa College, during 24–30th September, 2015.
  32. Participated in the CIMPA Research School held at University of Delhi during 25th November – 6th December, 2013.
  33. Attended a Training Programme on Optimization Theory and Applications held at Convention Centre, University of Delhi during 10–14th February, 2010.
  34. Attended Workshop on Optimization and Its Applications held at New Convention Centre, University of Delhi, Delhi during 29th November – 3rd December, 2007.
  35. Attended a National Workshop on Analysis held at the Department of Mathematics, University of Delhi during 27–28th September, 2007.
  36. Attended a Workshop on Mathematical Modeling Optimization and Their Applications held at Bhartiya Vidyapeeth, Paschim Vihar, New Delhi during 23–27th April, 2007.