ABOUT THE DEPARTMENT

The Department of Mathematics is one of the departments functioning from the inception of Periyar University. The Department offers programmes of study and research leading to M.Sc., M.Phil. and Ph.D. degrees and is on a relentless march towards academic excellence. Based on the contributions towards research, University Grants Commission (UGC) has granted Special Assistance Programme (SAP) and Department of Science and Technology (DST) has granted Fund for Improvementof S&T infrastructure (FIST) to this department. The Department conducts various research activities in the following areas:

• Algebra
• Graph Theory
• Differential Equations
• Numerical Analysis
• Control Theory
• Mathematical Biology

The department produced 45 Ph.D’s and 150 M.Phil students. Further, 5 candidates cleared NET examinations, 4 candidates cleared GATE examinations and 26 candidates cleared SET examinations. Also the department has published more than 150 research papers both National/Internationally reputed journals with impact factors.

Apart from the above, the department has organized 20 workshops/conferences/seminars at National level by generating funds to the tune of Rs. 20 lakhs from the National funding agencies like NBHM, DST, CSIR, DRDO and generated Rs. 86 lakhs through projects/Non-SAP operated from National funding agencies.

Based on the above activities, UGC & DST recognized this department and sanctioned Rs.80.50 lakhs under Special Assistance Programme (SAP) and Rs. 1.01 Crores under Fund for Improvement of Science and Technology Infrastructure (FIST) respectively for further development of laboratory and library facilities.

VISION

• Desires to be globally recognized Centre for Advanced Studies in Mathematics through teaching, training and research in emerging areas of Mathematics.

MISSION

• To provide opportunities for developing high quality mathematical skills to become successful graduates with leadership quality.
• To provide strong background to conduct research on par with international standard in the thrust areas of Algebra, Graph Theory, Differential Equations and Mathematical Biology.
• To provide opportunities to interact with leading and top level mathematicians through conferences/ seminars/ workshops.

Syllabus

S.No	PROGRAMMES	DETAILS
2018 - 2019 ONWARDS
1	M.Sc. (Mathematics)	SYLLABUS
2	M.Phil (Mathematics)	SYLLABUS
2016 - 2017 ONWARDS
1	M.Sc. (Mathematics)	SYLLABUS
2	M.Phil (Mathematics)	SYLLABUS
2015 - 2016 ONWARDS
1	M.Sc. (Mathematics)	SYLLABUS
2	M.Phil (Mathematics)	SYLLABUS

• Faculty
• Former Faculty

Conference / Workshop

National Conferences

• National Seminar on algebra and its applications, February 12 – 13, 2009 (Supported by Periyar University).
• Fifth annual Instructional conference of ADMA and Graph Theory Day V (ACADMA -2009), June 8 – 10, 2009. (Supported by NBHM,DST, DRDO and CSIR).
• National Conference on Advances in Differential Equations (NCADEA – 2010), October 07-08, 2010 (Supported by NBHM).
• Second National Conference on Advances in Differential Equations (NCADEA – 2012), March 29-30, 2012, (Supported by CSIR, NBHM and DST).
• National Conference on Recent Advances in Graph Theory, March 06-07, 2014 (Supported by DST-SERB, UGC, TANSCHE, TNSCST).
• Third National Conference on Advances in Differential Equations (NCADEA – 2014), December 4-5, 2014, (Supported by CSIR, NBHM and DST).

Workshops

• Workshop on Real Analysis, Jan. 24 – 25, 2007. (Supported by TNSCST and NCSTC)
• Workshop on Decomposition of Graphs and Product Graph, June-22-25, 2011 (Supported by DST, CSIR and NBHM)
• National Workshop on Mathematical Analysis and its Applications (WMAA 2012), May 7 – 12, 2012 (Supported by DST, CSIR and UGC)
• Mathematics Training and Talent Search Programme (Mini-MTTS), June 23 – July 5, 2014 (Supported by NBHM).

Special Lectures (Funded by Periyar University)

• Prof. R.P. Sharma, Himachal Pradesh University, Irreducible Wreath Product Modules, Sep. 1, 2010.
• Prof. E. Thandapani, University of Madras, Differential Equations, Oct. 22, 2010.
• Prof. S. Sundar, IIT Madras, Incompressible flow simulation, Oct. 29, 2010.
• Prof. P. Paulraja, Annamalai University, Decomposition of Graphs, Nov. 1, 2010.
• Prof. A.R. Rajan, University of Kerala, Representation theory of finite groups, Nov. 12, 2010.
• Prof. T. Tamizh Chelvam, Manonmaniam Sundaranar University, Finite Simple Groups, Nov. 18, 2010.
• Prof. N. Ramanujam, Bharathidasan University, Differential Equations, Jan. 13, 2011.
• Prof. T. Tamizh Chelvam, Manonmaniam Sundaranar University, Groups of order less than 25, Dec.12, 2011.
• Prof. M. Marudai, Bharathidasan University, Multivariative Calculus, Mar. 14, 2012.
• Dr. P.S. Sreenivasan, Bharathidasan University, Real Analysis, Mar. 17, 2012.
• Prof. G.P Yuvaraj, University of Madras, Complex Analysis, Mar. 17, 2012.
• Prof. Matthias Warkentin, Chemnitz Technical University (Germany), Combinatorial Aspect of Tilting Modules, Mar. 21, 2012.
• Dr.S.Saravanan, Bharathiar University, An introduction to fluid Dynamics, Mar. 26, 2012.
• Shri. K.G.Jayanthilal, State Co-ordinator, Lalandia IAS Circle, Awareness Program on Competitive Examinations, Feb. 21, 2013.
• Dr.K.Sakthivel, DST Inspire Faculty, Indian Institute of Space Science and Technology, Some Aspects of solutions of Partial Differential Equations, Feb. 22, 2013.
• Dr.Clare D’Cruz, Chennai Mathematics Institute, Polynomial, Blowing up and Integrally closed Ideals, Mar. 6, 2013.
• Prof. S. Thangavelu, Indian Institute of Science, A brief introduction to Riemann Hypothesis, Mar.3, 2013.
• Prof. Dr. Chin-Mei Fu, Tamkang University (Taiwan), Decomposition complete graphs Into triangles and claws, Jan. 20, 2014.
• Prof. Dr. Hung-Lin Fu, National Chiao Tung University, Applications of graph packing and graph covering, Jan. 20, 2014.
• Prof. G.P. Yuvaraj, University of Madras, Sequences of functions, Jan. 23, 2015.

PhD Awarded

S.No	Name of the Scholar	Research Supervisor	Title of the Thesis	Date of Award
2020 - 2021
1	R. Manjuram	Dr. V. Muthulakshmi	Oscillatory behavior of solutions of second-order impulsive and delay differential equations	06.07.2020
2	C. Palanivelu	Dr. A. Muthusamy	Super (c,d) – edge antimagic total labeling of graphs and product graphs	03.07.2020
3	M. Ilayaraja	Dr. A. Muthusamy	Decomposition and uniformly resolvable decomposition of graphs and product graphs	24.08.2020
4	P. Ramesh	Dr. M. Sambath	Stability and Hopf Bifurication Analysis of Certain fractional order Models in Mathematical Biology	25.02.2021
2019 - 2020
1	A. Abirami	Dr. P. Prakash	Fractional diffusion models for image denoising	12.07.2019
2	S. Rajeshwari	Dr. S. Padmasekaran	Direct similarity reductions and exact solutions of nonlinear partial differential equations	13.09.2019
3	S. Jehoashan Kingsly	Dr. S. Padmasekaran	Modelling and analysis of perishable inventory queuing systems	04.10.2019
4	G. Sathishkumar	Dr. S. Karthikeyan	Blow-up of certain nonlinear parabolic systems arising in biological models	20.01.2020
2018 - 2019
1	V.N. Deivamani	Dr. S. Karthikeyan	Solvability of certain nonlinear parabolic systems arising in cancer invasion models	12.07.2018
2	M. Sathya	Dr. S. Karthikeyan	Studies on controllability of semlinear stochastic systems with delays	28.09.2018
3	S. Pavithra	Dr. V. Muthulakshmi	Oscillatory behavior of solutions of fractional differential equations	06.06.2019
2017 - 2018
1	A. Deiveegan	Dr. P. Prakash	Studies on inverse problems for heat, wave and fractional diffusion equations	05.09.2017
2	P. Prabakaran	Dr. C. Selvaraj	A study on modules with finite weak injective and weak flat dimensions	08.01.2018
3	N. Sivakumar	Dr. S. Marshal Anthoni	Spectral properties and Weyl type theorems for K- quasi-paranormal operators	16.02.2018
2016 - 2017
1	N. Neela	Dr. C. Selvaraj	Labeling of graphs of product graphs	08.08.2016
2	T. Govindan	Dr. A. Muthusamy		18.10.2016
3	R. Saravanan	Dr. C. Selvaraj		25.10.2016
4	S. Usharani	Dr. S. Padmasekaran	Further study on topological spaces	27.01.2017
5	K. Sundareswari	Dr. S. Marshal Anthoni	Studies on stability analysis of time delay systems via reliable H∞ control approach	30.01.2017
6	S. Santhakumar	Dr. C. Selvaraj	Rings characterized by properties of dual automorphism-invariant modules and automorphism liftable modules	02.03.2017
2015 - 2016
1	S. Harikrishnan	Dr. P. Prakash	Studies on oscillation of impulsive and functional partial differential equations	02.09.2015
2	A. Tamil Elakkiya	Dr. A. Muthusamy	Decompositions and factorizations of product graphs into Kites, paths and 3.prisms	19.10.2015
3	S. Senthilvelavan	Dr. P. Prakash	Studies on numerical solutions of fuzzy neutral and fractional differential equations	11.12.2015
4	A. Shanmugavadivu	Dr. A. Muthusamy	Cycle frames and the Oberwolfach problem	15.12.2015
5	R. Anbuvithya	Dr. P. Prakash	Studies on qualitative behaviours of neural networks	08.01.2016
6	K. Manickam	Dr. P. Prakash	Numerical studies on mixed finite element methods for optimal control problems	10.02.2016
2014 - 2015
1	G. Sudhapriya	Dr. P. Prakash	Numerical solutions for fractional diffusion equations	29.09.2014
2	R. Udhayakumar	Dr. C. Selvaraj		26.03.2015
3	S. Jeevadoss	Dr. A. Muthusamy	Decompositions of graphs and product graphs into paths and cycles	18.05.2015
4	A. Umamaheswaran	Dr. C. Selvaraj	A study on X-Injective modules	24.06.2015
5	V. Biju	Dr. C. Selvaraj		21.05.2015
6	N. Uthirasamy	Dr. P. Prakash	Studies on numerical solutions of fuzzy boundary value problems and fuzzy partial differential equations	29.06.2015
2013 - 2014
1	V. Ganesan	Dr. E. Thandapani	Oscillatory and asymptotic behaviour of neutral differential equations with maxima	27.11.2013
2	V. Balasubramanian	Dr. E. Thandapani	Studies on oscillatory and asymptotic behaviour of second-order neutral type differential equations	24.03.2014
2012 - 2013
1	V. Piramanantham	Dr. E. Thandapani	Oscillation theory of neutral type dynamic equation on time scale	21.06.2012
2	V. Sivakumar	Dr. P. Prakash	Numerical study on mixed convection lid-driven cavities	31.10.2012
3	V. Chitra	Dr. A. Muthusamy		01.11.2012
4	R. Sangeetha	Dr. A. Muthusamy		28.06.2013
2011 - 2012
1	V. Muthulakshmi	Dr. E. Thandapani	Oscillation and asymptotic behaviour of neutral and impulsive differential equations	06.01.2012
2	R. Raja	Dr. S. Marshal Anthoni		09.01.2012
3	T. Geetha	Dr. C. Selvaraj		14.03.2012
4	C. Chandran	Dr. S. Marshal Anthoni		28.03.2012
2010 - 2011
1	S. Petchimuthu	Dr. C. Selvaraj		26.03. 2009
2	V. Kalaiselvi	Dr. P. Prakash	Studies on numerical solutions of fuzzy differential and fuzzy Volterra integral equations	21.04.2010
3	R. Samidurai	Dr. S. Marshal Anthoni	Studies on stability of nonlinear impulsive neural networks	27.10.2010

FACILITIES

ICT Classrooms

Department of Mathematics	ClassRoom	Maths -Ramanujam Computer Lab
Computer Lab	Department Library	Maths Seminar Hall

FUNDED PROJECT

POST DOCTORAL STUDENTS

Name	Designation	Funding Agency	Year
A. Shanmugavadivu	Postdoctoral Fellow	NBHM, Mumbai
V. Ramanathan	Dr. D.S. Kothari Postdoctoral Fellow	University Grants Commission, India

ALUMNI

CONTACT US:

Professor and Head
Department of Mathematics
Periyar University
Periyar Palkalai Nagar
Salem – 636011
Tamil Nadu
India
Ph: 0427-2345766 (Ext.No:253 & 254)
E-Mail : maths@periyaruniversity.ac.in