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Profile

          The Department of Mathematics was established in the year 1965 and Diploma in Rural Service (Mathematics) was offered till 1975. Then B.Sc. Mathematics programme is being offered from 1976 onwards, Two year PG programme M.Sc. Mathematics is being offered from 2008-2009 onwards. Ph.D. programme is being offered from 1992-1993 onwards. B.Sc., B.Ed. in Mathematics is being offered from the academic year 2018-19. From 2024 onwards B.Sc. (Hons) Mathematics programme is being offered under New Education Policy.

          The major research fields being carried out in this Department are Stability Problems of dynamical Systems, including Neural Networks, Fractal Theory and its applications, Optimization in Marketing related problems, Control theory, Graph Theory, Algebraic Graph Theory and Quantum Computing Algorithms. The Department has published more than 820 research articles in SCI journals with SCOPUS citations of more than 14270. So far the Department of Mathematics produced 102 Ph.Ds. Additionally department has 10684 books for the student accessible in the Library supported by UGC-SAP, DST-FIST, NBHM, etc. Since 1997, faculty members are receiving funds from various funding agencies including UGC, NBHM, CSIR and DST-SERB for research and developments. As a result of consistent performance in research, the Department is upgraded with UGC - SAP (DSA-I). International-level research collaborations are being undertaken with Deakin University, Australia, University of Technology, Sultanate of Oman, UAE, Institute of Mathematical Sciences, University of Malaya, Malaysia, Nanyang Technological University, Singapore, Yonsei University, South Korea, United Arab Emirates University, UAE, University of Texas at Arlington, Texas, USA, Pusan / Kunsan National Universities, South Korea and UCSI University, Malaysia. So far the Department has successfully conducted 22 International/National Conferences/Seminars/Workshops. In addition to that the Department successfully completed 28 funded projects. Every year the Department celebrates National Mathematics Day and an Intercollegiate Math fest Competitions organized by the Students Association.

Faculty

Dr.P.BALASUBRAMANIAM
M.Sc., M.Phil., Ph.D., M.C.A., D.Sc.,
Senior Professor
1) Neural Networks and Image Processing 2) Quantum Computation and Algorithms 3) Fractional Differential
Dr.R.UTHAYAKUMAR
M.Sc., M.Phil. B.Ed., PGDCA., Ph.D.
Senior Professor
1) Operations Research - Inventory Management and Control 2) Fractal Analysis and its Applications 3) Fuzzy Optimi
Dr.G.MAHADEVAN
M.Sc., M. Phil., M.Tech., Ph.D.,
Professor & Head
1)Graphs and Networks 2) Domination Theory 3) Graph colorings
Dr.P.MUTHUKUMAR
M.Sc., B.Ed., M.Phil., Ph.D.
Associate Professor
1) Applied Mathematics; 2) Differential Equations 3) Stability and Control Th
Dr. R.RAJKUMAR
M.Sc., Ph.D.
Associate Professor
1) Algebraic Graph Theory (Groups and Graphs, Spectral Graph Theory) 2) Algebraic Coding Theory
Dr.G.NAGAMANI
M.Sc., M.Phil., Ph.D.
Associate Professor
Neural Networks, Dissipativity and Passivity Theory
Dr.M.SURESH KUMAR
M.Sc., M.Phil., Ph.D.
Assistant Professor
1) Functional Equations, 2) Fractal Geometry 3) Iterated Function System

Programmes

Programmes
Programmes Syllabus
B.Sc. Mathematics From 2015-16
From 2018-19
From 2021-22
From 2024-25
M.Sc. Mathematics From 2015-16
From 2018-19
From 2021-22
From 2024-25
Ph. D. From 2017-18
From 2021-22
UG & PG Courses offered to other Departments From 2024 – 2025

Research

Thrust Areas:

  • Quantum Computing
  • Dynamical Systems
  • Fuzzy Image Processing
  • Neural Networks
  • Passivity Analysis
  • Fractal Analysis
  • optimization Techniques
  • Graph & Networks
  • Algebraic Graph Theory
  • Iterative Functional Equations
  • Fractional Calculus

Projects

Projects
Sponsored and Research Project
S. No Principal Investigator / Co-Principal Investigator Project Titles Year Funding Agency Total Grant in Lakhs(Rs.)
A. Completed
1 Dr. P. Kanniappan Study on Stability of Solutions and Convergence of Optimization Problems 1994-1998 NBHM 01.25
2 Dr. P. Balasubramaniam Controllability of Second Order Integrodifferential System in Banach Space 1996-1998 DST 01.68
3 Dr. P. Balasubramaniam Studies on Fuzzy Control Systems 1999-2002 CSIR 04.50
4 Dr. P. Balasubramaniam Neural Networks for Nonlinear Control Systems and Dynamical Systems 2003-2006 DST 03.48
5 Dr. P. Balasubramaniam Approximations of Solutions to Stochastic Functional Differential Equations 2007-2010 NBHM 08.67
6 Dr. S. R. Kannan Fuzzy Clustering Techniques in Breast Medical Images 2007-2010 UGC 05.62
7 Dr. P. Balasubramaniam Studies On Qualitative Properties Of Stochastic Partial Differential Equations 2008-2011 CSIR 08.01
8 Dr. P. Balasubramaniam Studies on modeling for stochastic differential equations and their optimal control using neural networks genetic programming and Simulink approaches 2008-2011 DST-SERC 16.13
9 Dr. R. Uthayakuamar Estimating The Chaotic Dynamics In The Human Brain Via Fractal Dimension 2008-2011 UGC-MRP 07.26
10 Dr. P. Balasubramaniam Network Analysis of Social, Technological and Biological Networks 2011-2016 HIR MALAYSIA 28.40 MYR
11 Dr. P. Balasubramaniam UGC-BSR One time grant for creating Centre for Advanced Mathematics and Computing 2013-2014 UGC 06.30
12 Dr. P. Muthukumar Mathematical aspects of Approximate Dynamic Programming (ADP) in Optimal Control 2012-2013 IUSSTF 21.16
13 Dr. G. Nagamani Studies on passivity analysis for discrete-time neural networks with time-varying delays 2012-2014 UGC 06.00
14 Dr. P. Balasubramaniam Studies on Stability and bifurcation analysis of dynamical systems 2012-2015 NBHM 10.12
15 Dr. P. Balasubramaniam Existence, Controllability and Stability Analysis of Fractional Semilinear Differential Inclusions 2013-2016 CSR 18.14
16 Dr. R. Uthayakumar Optimal Decision Making Through Inventory and Supply Chain Modelling in Healthcare Industries 2013-2016 CSIR 09.04
17 Dr. R. Uthayakumar Fractal analysis of brain tumour detection and growth estimation 2013-2016 UGC 09.26
18 Dr. R. Uthayakumar Mathematical Modeling of Multi-Item, Multi-Echelon Supply Chain System in Stochastic Environment 2014-2017 DST - SERB 12.00
19 Dr. R. Uthayakumar Mathematical Modelling for Optimizing the Inventory Costs in a stochastic Envionment with Trade Credit and Service Level Constraint 2014-2017 NBHM 09.84
20 Dr. P. Muthukumar A theoretical study on existence and controllability properties of abstract mathematical model of stochastic partial differential equations 2014-2017 NBHM 10.84
21 Dr. P. Muthukumar Theoretical and Numerical Solutions for Fractional Order Optimal Control Problems 2015-2018 SERB(YSS) 12.40
22 Dr. P. Muthukumar Stabilization of Network Control System with its Optimal Estimation 2017-2020 CSIR 13.56
23 Dr. P. Balasubramaniam Studies on Qualitative Properties of Hilfer Fractional Stochastic Dynamical Systems 2017-2021 DST-SERB MATRICS 6.60
24 Dr. R. Uthayakumar Impact of Learning functions on fuzzy Inventory Control models and green supply chain practices in Environmentally Hazardous Industries 2019-2021 UGC-BSR Mid-Career 10.00
25 Dr. P. Balasubramaniam Fractional Dynamical Systems in Image Processing and Applications in Robotic Control 2022-2022 UGC-BSR Mid-Caree 10.00
26 Dr. G. Mahadevan Exploring and Extending new/Existing Domination Parameters for Solving Real Life Problems via Graph Theoretical Modeling 2020-2021 GRI 0.25
27 Dr. P. Muthukumar Resilient Sampled-Data Control for Nonlinear Multi-Agent Systems 2020-2021 GRI 0.25
28 Dr. G. Nagamani Studies on Passivity and Dissipativity Analysis of Discrete-Time Dynamical Stems 2019-2022 NBHM 16.03
B. Ongoing
1 Dr. P. Balasubramaniam Quantum Neural Network-Based Adaptive Controller for Nonlinear Dynamical Systems and Applications 2023-2026 SERB-CRG 20.52
2 Dr. G. Nagamani Extended Dissipativity Performance for Delayed Discrete-Time Neural Networks and its Engineering Applications 2022-2025 SERB-POWER 18.66

Projects
(Department Level - Sponsored and Research Project)
S. No Principal Investigator / Co-Principal Investigator Project Titles Year Funding Agency Total Grant in Lakhs(Rs.)
Completed
1 Dr. P. Balasubramaniam
Dr. R. Uthayakumar
Optimization Theory And Mathematical Modeling 2004-2009 UGC-SAP (DRS-I) 26.00
2 Head of the Department Funds for Improvement of S&T Infrastructure in Universities and Higher Educational Institutions 2007-2012 DST-FIST-I(Cycle-1) 10.48
3 Dr. P. Balasubramaniam
Dr. R. Uthayakumar
Stability Theory and Mathematical Modelling 2009-2014 UGC-SAP(DRS-II) 41.00
4 Head of the Department Infrastructure Grant 2007-2008 UGC-SAP (Additional Grant) 20.00
5 Head of the Department Funds for Improvement of S & T Infrastructure in Universities and Higher Educational Institutions 2014-2019 DST-FIST-I (Cycle-2) 47.00
6 Dr. P. Balasubramaniam
Dr. R. Uthayakumar
Qualitative Behaviours of Dynamical Systems and Mathematical Modelling 2018-2023 UGC-SAP (DSA-I) 60.35 + Two Project Fellows
Library Books Grants
7 Head of the Department Department Library Books Grant 1999-2024 NBHM 55.33

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