Analysis
B.Sc. (Honours) Mathematics (Sri Venkateswara College, University of Delhi)
M.Sc. Mathematics (Hindu College, University of Delhi)
UGC NET Qualified
M.Phil. (Department of Mathematics, University of Delhi)
Ph.D. (Department of Mathematics, Jamia Millia Islamia)
Abstract Algebra, Real Analysis, Metric Spaces, Complex Analysis, Numerical Methods, Differential Equations
Teacher-In-Charge of the Department of Mathematics for the years 2013-14, 2014-15, 2021-22, 23-24, 24-25
Member of Selection/ Screening Committee for appointment of Assistant Professors during 2013-14, 2017-18, 2023-24
Worked actively in various Staff Council committees viz. Timetable Committee, Workload Committee, Spic Macay Committee, Computerization, Committee, Decoration Committee, Women Development Committee, Extension Lectures Committee, English Debate Committee, Finance Committee, Purchase Committee, IQAC Committee.
Convener of the Advisors of the Student Union for the academic year 2013-14.
Organized National Science Academies Lecture Workshop on "Groups in geometry and applications” " in 2016-17.
Coordinator of Ohio State University exchange program. during 2013-14.
Member of the team responsible for drafting the syllabus of B.Sc.(Hons.) Mathematics (FYUP) during 2012-13, Undergraduate Programme under NEP 2020.
Paper setter and Head Examiner of several papers in University Examinations.
SEC Nodal Officer 2022 to present
C2 criterion Convener for the second cycle of NAAC
Mentored two students on the project titled "IoT based Smart farming for Sustainable Agriculture in India" under Summer Internship Programme (2020-21) of Centre for Research from 25th April -24th June 2021.
Mentored two students on the project titled "Towards Self Reliant India: Decoding Indian Startups through Statistical Insights" under Summer Internship Programme (2023-24) of Centre for Research from April - June 2024.
1. A New Third Order Exponentially Fitted Discretization for the Solution of Nonlinear Two Point Boundary Value Problems on a Graded Mesh, Journal of Applied Analysis and Computation 10 (5), pp.1741-1770, ESCI indexed journal, IF:1.8.
2. A New High Accuracy Method in Exponential Form Based on Off-Step Discretization for Non-linear Two Point Boundary Value Problems, Journal of Difference Equations and Applications 26 (2020), pp. 171-202, SCIE indexed journal, IF:1.3.
3. Operator compact exponential approximation for the solution of the system of 2D second-order quasi-linear elliptic partial differential equations, Advances in Difference Equations 2019 (2019), pp. 1-36, SCIE indexed journal, IF:3.7.
4. Compact half-step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations, Journal of Difference Equations and Applications 25 (2019), pp. 716-749, SCIE indexed journal, IF:1.3.
5. A High Accuracy Compact Semi-constant Mesh Off-step Discretization in Exponential Form for the Solution of Non-linear Elliptic Boundary Value Problems, Journal of Difference Equations and Applications 27(4) (2021), pp. 531-556, SCIE indexed journal, IF:1.3.
6. High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational
region, MethodsX 9 (2022), pp.1-29, ESCI indexed journal, IF:1.9.
7. Super‐stable spline‐in‐tension numerical method of order three(four) for the second order non-linear IVPs, Journal of Mathematical Chemistry, 61 (2023), pp. 950-974, IF:1.7.
8. On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique, MethodsX (2023), pp.1-15, ESCI indexed journal, IF:1.9.
9. An epsilon uniformly convergent method for singularly perturbed parabolic problems exhibiting boundary layers, Journal of Applied Analysis and Computation 13(4), pp.1-37, SCIE indexed journal, IF:1.1.
10. A compact high resolution semi-variable mesh exponential finite difference method for non-linear boundary value problems of elliptic nature, Journal of Mathematics and Computer Science, 33(2024), pp. 87-107 , ESCI indexed journal.
11. A numerical approach for solving Thomas-Fermi type equations using non-polynomial B-Spline function, Palestine Journal of Mathematics , 12, pp. 33-44.
12. A Legendre Wavelet Collocation Method for solving Neutral Delay Differential Equations, Miskolc Mathematical Notes (2024) 25(1), pp. 35-48, SCIE indexed journal, IF:0.9.
Attended National Workshop on Analysis held at the Department of Mathematics, University of Delhi, during 27th -28th September 2007.
Attended the tenth meeting on Harmonic Analysis, held at IISc Bengaluru, during 28th December 2007 to 1st January 2008.
Attended and was a member of the finance committee of the International Conference on Operator Theory and Related Areas held at the Department of Mathematics, University of Delhi, during 9th -12th January 2008.
Attended a Training Course on Programming in C conducted by Delhi University Computer Centre, during 5th May to 16th May 2008.
Participated in National Instructional Workshop on Harmonic Analysis held at IIT Kanpur during 14th – 18th May 2008.
Attended 23rd Annual meeting of Ramanujan Mathematical Society held at IIT Kanpur during 19th- 21st May 2008.
Attended a two-day workshop on “Mathematica” held at University of Delhi during 21st – 22nd August 2008.
Participated in the Pre- ICM ICMS- 2008 held at University of Delhi during 18th -20th December 2008.
Participated in Partners in Learning Teacher Training program held in partnership with Microsoft at ILLL, University of Delhi during 17th- 28th August 2009.
Contributed as a resource person and conducted sessions in the ICT Workshop for Capacity Building of Delhi University staff at the Institute of Lifelong Learning.
Attended Advanced Training in Mathematics for Lecturers in Complex Analysis held at the Department of Mathematics, University of Delhi during 16th March -4th April 2009.
Participated in the ICT Workshop for Capacity Building of Delhi University Staff, during 1st -11th December 2009
Attended National Meet on History of Mathematical Sciences held at University of Delhi, during 7th-9th January 2010.
Attended National Workshop sponsored by UGC on Quality Assurance Through Blended Learning in Maitreyi College, University of Delhi from 19th -21st January 2010.
Attended Advanced Training in Mathematics for Lecturers in Real Analysis held at the Department of Mathematics, University of Delhi, during 22nd March -3rd April 2010.
Participated in the national Workshop on “ Differential Equations , Computing and Modelling held at University of Delhiduring 20th- 24th December 2010
Attended National Conference on “ Mathematics Beyond Formulae and Theorems” held at Indraprastha College for Women, Universioty of Delhi, Delhi, during 22nd -23rd February 2011.
Attended Advanced Training in Mathematics for Lecturers in Geometric Complex Analysis held at the Department of Mathematics, University of Delhi, during 21st March -2nd April 2011.
Participated in the International conference” The legacy of Srinivasa Ramanujan” held at University of Delhi during 17th-22nd December 2012.
Participated in the Instructional Workshop on Applied Mathematics held at South Asian University, Akbar Bhavan, New delhi during 6th- 10th May 2013.
Attended Advanced Training in Mathematics for Lecturers in Group Theory held at the Department of Mathematics, University of Delhi, during 3rd June to 15th June 2013.
Participated in the workshop on “ Building Mathematical Ability” held at University of Delhi during 18th- 20th June 2013.
Participated as a resource person in the academic and cultural exchange workshops held at Maitreyi College during 27th August- 6th September 2013.
Participated in a Capacity Building workshop on e- content creation in Mathematics held at ILLL, University of Delhi on 21st June 2016.
Organized Science Academies Lecture Workshop on “Groups in Geometry and applications” at Maitreyi College during 13th-15th October 2016.
Participated in the International Conference on “ Current Trends in Differential Equations with Applications” held at South Asian University during 1st-5th December 2017.
Presented paper at the International Conference on “Mathematical Modelling, Applied Analysis and Computation-2018 (ICMMAC-18)” held at JECRC University, Jaipur, Rajasthan during 6th-8th July 2018.
Presented paper at the 2nd International Conference on “Advances in Computational Mathematics (ICACM-2018)” held at Tribhuvan University, Nepal during 23rd -24th December 2018.
Presented paper at the 4th International Conference on “Recent Developments in Theory, Computation and application of Differential Equation” held at South Asian University, New Delhi held during 21st -23rd January 2019.
Participated in FDP on “ Understanding the connection of Mathematics with the world around us: An Application Based Learning” held during 20th – 26th June 2019.
Participated in FDP on “ Biomathematics” held during 1st – 7th August 2019.
Attended National Workshop on Real Analysis: From Elementary to Advanced at Ramanujan College 25th October 2019.
Attended FDP on "Research Methodology" 1st-15th October 2020.
Convener of Online Certificate Course on "Productivity Software and Mathematical Tools" at Maitreyi College14th-24th June 2021.
Attended online One Week FDP on "Data Analysis using R Software" conducted by PGDAV College(Eve.) and "Maharaja Agrasen Institute of Management Studies"
Convener of Short Term Course on "Building Mathematical Skills: Logic< Reasoning and Aptitude " organized by Mathematics Department 20th March-8th April 2023.
Resource person of Short Term Course on "Building Mathematical Skills: Logic< Reasoning and Aptitude " organized by Mathematics Department 20th March-8th April 2023.
Attended One Week FDP on "Recent Trends in Mathematical Sciences" organized by Dayal Singh College and Mahatma Hansraj Faculty Centre 11th-16th September 2023.
Convener of Short Term Course on "Building Mathematical Skills: Logic< Reasoning and Aptitude " organized by Mathematics Department 23rd October-22nd November 2023.
Resource person of Short Term Course on "Building Mathematical Skills: Logic< Reasoning and Aptitude " organized by Mathematics Department 23rd October-22nd November 2023.
Attended Training Programme at CIC on " Research Methodology" 10th-11th Feb 2025.
Resume : https://sites.google.com/maitreyi.du.ac.in/geetan-manchanda