Dr. N. Shivaranjani

Dr. N.Shivaranjani
Assistant Professor, Department of Mathematics
National Institute of Technology
Tiruchirappalli – 620 015

e-mail: ranjani@nitt.edu  , shivaranjaninagarajan@gmail.com
Mobile : 9159177345

Academic Qualifications

Examination Board / University Year Division/ Grade Subjects
Ph.D Bharathidasan University – Bishop Heber College 2016 NA Mathematics – Singularly perturbed delay differential equations
M.Sc Bharathidasan University 2012 University First Mathematics
B.Sc Bharathidasan University 2010 University First Mathematics

Employment Profile

Job Title Employer From To
Assistant Professor Bishop Heber College, Tiruchirappalli 30-11-2015 23-04-2020
Assistant Professor – Grade II National Institute of Technology, Tiruchirappalli 06-05-2021 Till date

Academic/Administrative Responsibilities within the University

Position Faculty/Department/Centre/Institution From To
Member Ranking Analytics Committee, NITT 29-10-2021 Till date
Data Co-ordinator Department of Mathematics July 2022 Till date
Member Department Project Evaluation Committee, Department of Mathematics, NITT 18-07-2020 Till date
Member Placement Cell, Department of Mathematics, NITT 18-07-2020 Till date
Member Students’ Grievance cell, Department of Mathematics, NITT 18-07-2020 Till date

Fellowships

Year of Award Name of the Fellowship Awarding Organization From (Month/Year) To (Month/Year)
2013 INSPIRE DST, Govt. of India 2013 2015
2010 PG Merit Scholarship UGC, Govt. of India 2010 2012

Details of Academic Work

  1. Curriculum Development
  2. Courses taught at Postgraduate and Undergraduate levels
    • Partial Differential Equations
    • Complex Analysis and Differential Equations
    • Matrices and Calculus
    • Linear Algebra and Calculus
  3. Projects guided at Postgraduate level
    • A study on brain tumor detection using convolutional neural network
    • A study on group actions and its applications
  4. Other contribution(s)

Workshops/ Symposia/ Conferences/ Colloquia/Seminars Organized (as Chairman/ Organizing Secretary/ Convenor / Co-Convenor)

Title of Activity Level of Event (International/ National/ Local) Date (s) Role Venue
National Workshop on Mathematical sciences for CSIR and GATE Aspirants National 17th-21st January,2022 Co-convenor NITT
Five days national workshop on MATLAB and LATEX National 4th-8th April, 2022 Co-convenor NITT

Invited Talks delivered

Topic Date Inviting Organization
Integration Of Software Packages And Tool In Mathematics Teaching And Learning 23/09/2021. Three – Day Online Faculty Development Programme on “SCOPE FOR SKILL DEVELOPMENT IN SCIENCE PROGRAMMES” Under UGC PARAMARSH Scheme, Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi
An introduction to singular perturbation problems and its applications 12.10.2021 National Webinar on Recent trends in Mathematics, E.S. Arts and Science College, Villupuram,

Courses Taught          

Post Graduate courses

  • Partial Differential Equations
  • Complex Analysis
  • Functional Analysis
  • Linear Algebra

Under Graduate Courses

  • Real Analysis
  • Vector Calculus
  • Differential Equations and Laplace transforms
  • Mathematics for competitive examinations

RESEARCH

Areas of interest           : Numerical analysis of singular perturbation problems, delay differential equations and differential equations in mathematical biology.

Papers published:

  • Shivaranjani, N., Ramanujam, N., Miller, J.J.H. and Valarmathi, S, A parameter-uniform first order convergent numerical method for a system of singularly perturbed delay differential equations, A.R.Ansari (ed.), Advances in Applied Mathematics, Springer Proceedings in Mathematics and Statistics 87, 127-138 (2014).
  • Shivaranjani, N., Miller, J.J.H. and Valarmathi, S, A parameter-uniform almost first order convergent numerical method for a semi-linear system of singularly perturbed delay differential equations, BIOMATH Vol.3,No.2, 1-8 (2014).
  • Shivaranjani, N., Miller, J.J.H. and Valarmathi, S, Robust numerical solutions of two singularly perturbed problems in mathematical biology, BIOMATH Communications Vol.1, No.2,1-8 (2014)
  • Shivaranjani Nagarajan, J.J.H.Miller and Valarmathi Sigamani, A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations with Discontinuous Source Terms, Differential Equations and Numerical Analysis, Springer Proceedings in Mathematics and Statistics(2016),135-150, Volume172.
  • Manikandan, M.,Shivaranjani, N., Miller, J.J.H., and Valarmathi, S, A parameter-uniform first order convergent numerical method for a singularly perturbed delay differential equation, A.R. Ansari (ed.),Advances in Applied Mathematics, Springer Proceedings in Mathematics & Statistics 87, 71-88 (2014)

Research Collaboration:

Have been in Research association through my Research Supervisor with Prof.John J.H. Miller, Director, Institute of Numerical Computation and Analysis, Dublin, Ireland, since 2012

Academic activities:

  • Served as a trainer in the Outreach Program for Undergraduate students in Mathematics jointly organized by The National Consortium, Academy of Discrete Mathematics and Applications and National College, Tiruchirappalli
  • Have been a resource person in training students of Holy Cross College, Tiruchirappalli for clearing CSIR NET Examination