அறிவால் விளையும் உலகு
GSTIN:33AAAJP0951B1ZP  CSR Reg.No: CSR00061509
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பெரியார் பல்கலைக்கழகம்

அரசு பல்கலைக்கழகம், சேலம்.

PERIYAR UNIVERSITY

NAAC 'A++' Grade with CGPA 3.61 (Cycle - 3)
State University - NIRF Rank 56 - State Public University Rank 25
Salem-636011, Tamil Nadu, India.



pAYMENT
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DEPARTMENT OF MATHEMATICS

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.

PROGRAMMES OFFERED

PROGRAMMES OFFEREDELIGIBILITY
M.Sc. (Mathematics)

A candidate who has passed B.Sc. Mathematics, B.Sc. Mathematics C.A. paper with 45% marks. Relaxation of 5% marks for SC/ST and Differently Abled Students.

M.Phil (Mathematics) [as per University Norms]
Ph.D (Mathematics) [as per University Norms]
Value Added CourseBroucher

Syllabus


S.No		 PROGRAMMES DETAILS
2023 - 2024 ONWARDS
1 M.Sc. (Mathematics) SYLLABUS

 
2022 - 2023 ONWARDS
1 M.Sc. (Mathematics) SYLLABUS

 
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

 

Conference / Workshop

SI.No Date Name of the Conference/Workshop Number of Participants
1 05.03.2020
to
06.03.2020		 National Conference on Partial Differential Equations and Applications 87
2 10.02.2020
to
14.02.2020		 National Workshop on Linear Algebra and Applications 140
3 06.02.2019
to
09.02.2019		 National Workshop on Analysis and Applications 85
4 04.01.2018
to
07.01.2018		 International Conference on Discrete Mathematics 162
5 16.03.2018
to
17.03.2018		 National Workshop on Numerical Techniques for Differential Equations 97
6 23.03.2018
to
25.03.2018		 National Workshop on Partial Differential Equations 70
7 23.02.2017
to
25.02.2017		 National Workshop on Product Graphs 114
8 23.03.2017
to
24.03.2017		 Fourth National Conference on Advances in Differential Equations and Applications 100
9 09.03.2017
to
10.03.2017		 National Workshop on Differential Equations and Applications 111
10 06.03.2017 Workshop on Mathematica and its Applications 120
11 11.02.2016
to
12.02.2016		 National Conference on Recent Trends in Analysis and Applications 104
12 09.06.2016
to
17.06.2016		 National Workshop on Advanced Analysis and Differential Equations 70

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.
  • Prof. A.K. Nandakumaran, Chairman, Department of Mathematics, Indian Institute of Science, Bengaluru, Sep. 12, 2022.
Special Lecture on Fourier Series and Fourier Transforms: Developments, Properties and Applications September 12, 2022
A special lecture on the topic “Fourier Series and Fourier Transforms: Developments, Properties and Applications” was delivered by Prof. A. K. Nandakumaran, Chairman, Department of Mathematics, Indian Institute of Science, Bengaluru on 12.09.2022. The concept of Fourier series and Fourier transforms were well introduced with their historical development. He pointed out that the development of Fourier series and Transforms lead to the further development of the subjects like Real Analysis, Functional Analysis and Partial Differential equations. The most interesting part of the lecture is the applications part where he explained how Fourier Series and Fourier Transforms are applied in the fields of signal processing and circuit theory. About 90 participants including PG students, Research scholars and faculty members participated in the special lecture.

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

Department of Mathematics
1		 ClassRoom
1		 Maths -Ramanujam Computer Lab
1
Computer Lab
1		 Department Library
1		 Maths Seminar Hall
1

FUNDED PROJECT

Name of the Faculty Title of theProject Funding Agency Sanctioned Amount Year Status
Dr.C.Selvaraj The Study of Characters and Cellularity of G-Brauer Algebras UGC 5.62 2007 to 2010 Completed
Dr.C.Selvaraj Cellularly Stratified Algebras and Tilting Modules UGC 11.65 2012 to 2015Completed
Dr.A. Muthusamy Decompositions and Factorizations of graphs DST 10.56 2007 to 2010Completed
Dr.A. Muthusamy Decompositions of Graphs and Product Graphs into Paths, Cycles and Stars DST 10.56 2014 to 2017Completed
Dr.P. Prakash Qualitative Behavior of Solutions of Fuzzy Differential Equations DST 2.52 2007 to 2010Completed
Dr.P. Prakash Mixedand Hybrid Finite Element Methods and Optimal Control Problems NBHM 10.97 2011 to 2014Completed
Dr.P. Prakash Inverse Problems for Hyperbolic Partial Differential Equation UGC 9.29 2012 to 2015 Completed
Dr.S. Karthikeyan Studieson Existence and Blow-up of Solutions of Partial Differential Equations DST 4.39 2016 to 2019Completed
Dr.M. Sambath Stability and Hopf Bifurcation Analysis of Stochastic Predator - Prey Models with Diffusion UGC 10.00 2017 to 2019Ongoing

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
 

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