Mathematics
 

The Department of Mathematics offers both under-graduate and post-graduate degree programmes in Mathematics. The under-graduate programme, B.Sc. Mathematics was started in the year 1969-70, with a sanctioned strength of 50. The department offers either Accountancy or Physics as allied subjects in the first year and Statistics subject in the second year of B.Sc., Mathematics programme. The post-graduate programme, M.Sc,. Mathematics was started in the year 1981-82, with a sanctioned strength of 20. Both the UG and PG curriculum includes a judicious mix of pure and applied mathematics subjects, including computer-programming subjects. The curriculum includes computer practical classes. The department offers M.Phil., and Ph. D., research programmes in Mathematics, both in Full-Time as well as Part-Time, from the year 2002-2003.
B.Sc MATHEMATICS
a) PROGRAM SPECIFIC OUTCOME
  • The students are able to demonstrate the basic manipulative skills in Algebra, Geometry, Trigonometry and calculus
  • The students can develop Mathematical models using logic which is very useful for solving Mathematical problems in various industries like banks and insurance companies.
  • The students can seek career opportunities in the filed of ‘Data Sciece’, which is the recent development based on the fields of Statistical Tools, Mathematical Modeling and Computer Alogrithms.
  • Enhancement of skills like Logical reasoning, arithmetic, aptitude, communication and self confidence for better employ ability
  • Graduates will be able to clear SSC (CGL), IBPS, RRB and Civil services examinations and will be able to occupy higher posts in administrative level because they have mastered Mathematical Concepts.
M.Sc MATHEMATICS
a) PROGRAM SPECIFIC OUTCOME
  • The students can create Mathematical Models and their application in the real world.
  • The students can become eligible and competitive in the field of ‘Data Science’.
  • Moulding the candidates to be a versatile person
  • Equip students with knowledge of the axiomatic nature of Mathematics and also enable them to work as a team.
  • The students are able to crack competitive examinations, lecturer ship and fellowship examinations like CSIR-NET and SET.
  • Providing a platform to develop himself/herself in various dimension like academic, soft skills, etc., and to become a responsible citizen of India.
 FACULTY
      • Dr. K. Rajagopal, M.Sc., M.Phil., P.G.D.C.A., Ph.D.(Stat.)                                                            (Head)
      • Mr. P. Muthusamy, M.Sc., M.Phil., P.G.D.C.A.
      • Mrs. D. Sadhanaa, M.Sc., M.Phil.
      • Dr. M. G. Karunambigai, M.Sc., M.Phil., P.G.D.C.A., Ph.D.
      • Mrs. R. Indra Devi, M.Sc., M.Phil.,
      • Dr. P. Karthikeyan, M.Sc., M.Phil., Ph.D.
      • Dr. K. Vaithiyalingam., M.Sc., M Phil., B.Ed., PhD.,
      • Dr. G. Thamizhendhi., M.Sc., M.Phil., PGDCA., Ph.D.,
      • Mrs. K.Malathi., M.Sc., M.Phil., PGDCA, SET.,
      • Mrs. P.Chandrakala., M.Sc., M.Phil., B.Ed., PGDCA., SET.,
      • Ms. S.Ramya M.Sc., B.Ed., M.Phil.,
 PUBLICATIONS
  • Dr. K. Rajagopal
    • Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination, Economic Quality Control, 2014-2015, DOI 10.1515/eqc-2013-0023.
    • Designing Single Sampling Plans by variables Using Predictive Distribution, Economic Quality Control, 2010-2011, DOI 10.1515/EQC.2010.021.
    • Single Sampling Plans by Variables Under Conditions of Exponential Distribution- A Predictive Distribution Approach, Journal of Applied Statistics, 2010-2011, ISSN 0266-4763
    • Selection of Bayesian Single Sampling Attributes Plans Based on Polya Distribution, Economic Quality Control, 2009-2010, ISSN- 0940-5151
    • A Procedure for selection of a gamma-Poisson sampling plan by attributes, Journal of Applied Statistics, 2008-2009, ISSN 0266-4763, Print/ISSN 1360-0532 online.
    • Analysis of Operating Characteristic Curves of Gamma-Poisson Sampling Plans, American Journal of Mathematical and Management Science, 2007-2008, ISSN 0196-6324.
    • A study on the Behavior of Operating Characteristic Curves of Sampling Planes Based on Polya Distribution, American Journal of Mathematical and Management Science, 2007-2008, ISSN 0196-6324.
  • Dr. D. Sadhanaa
    • Fuzzy Measure: A Different View,Annals of Pure and Applied Mathematics, 2016-2017, ISSN 2279-0888
    • Level Operators on Generalized Intuitionistic Fuzzy Sets, International Journal of Mathematics Trends And Technology, 2018-2019, ISSN- 2231-5373.
    • New Operators Over Generalized Intuitionistic Fuzzy Sets, International Journal of Mathematics Trends And Technology, 2018-2019, ISSN- 2231-5373.
    • Dual of a Fuzzy Measure- A Note, International Journal of Mathematical Archide, 2018-2019, ISSN- 2229-5046
  • Dr. M. G. Karunambigai
    • Secure edge Domination and vertex edge domination in intuitionistic Fuzzy Graphs, International Journal of Mathematics Archive, 2017-18, ISSN 2229-5049
    • Different types Domination in Intuitionistic Fuzzy Graphs, Journal of Pure and Applied Mathematics ,2016-2017, ISSN -2279 -087X
    • Secure Domination in Fuzzy Graphs and Intuitionistic Fuzzy Graphs, Analysis of Fuzzy Mathematics and Informatics,2016-2017,ISSN: 2093-9310
    • Degrees in intuitionistic Fuzzy Graphs, Annals of Fuzzy Mathematics and Informatics, 2016-2017, ISSN Print-2093-9310
    • Matrix Representation of Intuitionistic Fuzzy Graphs, International Journal of Scientific and Research Publications, 2016-2017, ISSN 2256 – 3153
    • Software Development in Intuitionistic Fuzzy Relational Calculus, International Journal of Scientific and Research Publication, 2016-2017, ISSN – 2250 -3153
    • Degrees in intuitionistic fuzzy graphs, Annals of Fuzzy Mathematics and Informatics, 2016-2017, ISSN 2093-9310
    • Clustering Algorithm for Intuitionistic Fuzzy Graphs, International journal of Uncertainty Fuzziness and knowledge-based systems, 2016-2017, ISSN -01793-6411
    • Strong and super strong vertices in  Intuitionistic fuzzy graphs, Journal of Intelligent and Fuzzy Systems, 2015-2016, ISSN 1064-1246
    • Edge Regular Intuitionistic fuzzy graphs, Advances in fuzzy sets and systems, 2015-2016, ISSN 0973-421X
    • Cayley Intuitionistic Fuzzy Graphs, Journal of Applied Mathematics and Informatics, 2014-2015, ISSN :1598-5857
    • Properties of Balanced Intuitionistic Fuzzy Graphs, International Journal of Research in science, 2014-2015, ISSN 2349 -8919
    • Balanced Bipolar Fuzzy Graphs, Journal of Advanced Research in Pure Mathematics, 2013-2014, Online ISSN-1943-2380
    • Self centered and self median Intuitionistic Fuzzy Graphs, Advances in Fuzzy sets and systems, 2013-2014, ISSN: 0973-421X
    • Domination in Bipolar Fuzzy Graphs, FUZZ- IEEE, International conference of Fuzzy Systems, 2013-2014, ISSN-4244-7317.
    • Balanced Intuitionistic Fuzzy Graphs, Applied Mathematical Sciences, 2013-2014, ISSN-2501-2514
    • Travel Grant: Travel Grant to college teacher for presenting papers in International Conference on the topic of “Some Properties of Regular Intuitionsitic Fuzzy Graph” for 3rd Annual Abu Dhabi University International Conference- Mathematical Science and its Applications, Abu Dhabi on 27-30 Dec 2014 with the sanction amount of Rs. 96,323
  • Dr. P. Karthikeyan
    • Existence results of Boundary Value Problem for Implicit Impulsive Fractional Differential Equations, Malaya Journal of Matematik, 2017-2018, ISSN- 2319-3786
  • Dr. K. Vaithiyalingam
    • Weakly Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces and its Applications, International Journal of Modern Science and Engineering Technology, 2016-2017, ISSN-2349-3755.
    • On Intuitionistic Fuzzy Weakly Generalized Continuous Mapping, International Journal of Computer Applications, 2016-2017, ISSN- 0975-8887.
    • Intuitionistic Fuzzy Weakly Generalized Closed Mapping, Asian Journal of Research in Social Sciences and Humanities, 2016-2017, ISSN- 2249-7315.
    • Intuitionistic Fuzzy Completely Weakly Generalized Continuous Mapping, International Journal of Innovations in Engineering and Technology, 2016-2017, ISSN-2319-1058.
    • Weakly Generalized Homomorphism in Intuitionistic Fuzzy Topology, American Journal of Engineering Research 2016-2017, Print ISSN-2320-0936, Online ISSN-2320-0847.
    • Weakly Generalized Connectedness in Intuitionistic Fuzzy Topology, Mathematical Sciences International Research Journal, 2016-2017, ISSN- 2278-8697.
  • Dr. G. Thamizhendhi
    • Some Results on Sequential Fractional Integro-Differential Equations with Anti-periodic Boundary Conditions, International Journal of Mathematics Trends and Technology, 2018-2019, ISSN- 2349-5758.
    • Initial value problem for Nonlocal Impulsive Integro-Differential Equations Involving Fractional Derivatives of Order American Journal of Engineering Research, 2018-2019, Online ISSN- 2320-0847, Print ISSN- 2320-0936
    • Some Results on Fractional Semilinear impulsive intergro-Differential Equations, Maslaya Journal of Matematik, 2018-2019, https://doi.org/10.26637/MJM0702/0017
 RESEARCH PROJECTS UNDERTAKEN
S.No. Investigator Title,Year of Award & Duration Funding Agency Amount
1 Dr. K. Rajagopal(Co-Investigator along with Dr. R. Vijayaraghavan,Professor of Statistics, Bharathiar University) A Study on the Evaluation of Sampling Inspection Plans by Variables based on Normal and Non-normal Distributions, (2011-2012) & 3 Years UGC Rs.5,85,800
2 Dr.A.Muthusamy Hamiltonian cycle decompositions and Path Factorizations of Graphs, (2000-2001) & 2 Years UGC Rs.85,000
3 Dr.K.Kadambavanam A study on the application of fuzzy inventory models,(2005-2006) & 2 Years UGC Rs.55,000
4 Dr.M.G.Karunambigai Intuitionistic fuzzy graphs and intutionistic fuzzy hyperplanes, (2011-2012) & 2 Years UGC Rs.1,00,000
5 Dr.M.G.Karunambigai Applications of Intuitionistic fuzzy graphs in Clustering, (2013-2014) & 2 Years UGC Rs.3,75,000
SEMINARS / CONFERENCES ORGANIZED
S.No. Date Details
1 March 23-24, 2007 UGC sponsored Two-day National Conference on Recent Trends in the Application of Maths and Statistics with reference to Physical and Social Sciences
2 DEC 12-14, 2016 Three days Science Academic’s Lecture workshop on ‘Differential Equations’ conducted by Department of Mathematics sponsored by Indian Academy of Sciences, Bangalore, Indian National Academy, New Delhi & National Academy of Sciences, Allahabad.
3 Feb 9, 2017 National workshop on ‘Statistical Multivariate analysis for Contemporary Research using SPSS and AMOS’
4 Jan 11,2020 National Human Rights Commission Sponsored one day Basic Training Programme on Human Rights
 UNIVERSITY RANK HOLDERS
S.No. Name Course Year Rank
1 R. Vidhyadharani B.Sc. 2006-2009 6th
2 G. Felciya Merlin B.Sc. 2006-2009 7th
3 B. Poornima B.Sc. 2006-2009 9th
4 S. Poornimadevi B.Sc. 2007-2010 10th
5 V. Pachamuthu B.Sc. 2008-2011 2nd
6 S. Karthika B.Sc. 2009-2012 4th
7 R. Sumathi B.Sc. 2009-2012 6th
8 P. Baby B.Sc. 2010-2013 2nd
9 B. Srinithi B.Sc. 2013-2016 6th
10 M. Chitra M.Sc. 1997-1999 5th
11 K. Balamurugan M.Sc. 1998-2000 2nd
12 P. Sangeetha M.Sc. 1998-2000 3rd
13 P. Chandrakala M.Sc. 1999-2001 5th
14 S. JamunaRani M.Sc. 2000-2002 5th
15 P. Kavitha M.Sc. 2000-2002 6th
16 R. Priya M.Sc. 2002-2004 6th
17 P. P. Sakthivel Muthu M.Sc. 2003-2005 2nd
18 K. Nithya M.Sc. 2003-2005 8th
19 P. Kalaivani M.Sc. 2005-2007 4th
20 K. Kalaivani M.Sc. 2005-2007 9th
21 M. Bhuvaneswari M.Sc. 2005-2007 4th
22 M. Mathumathi M.Sc. 2005-2008 8th
23 P. Vijayalakshmi M.Sc. 2007-2009 5th
24 L. Yogeswari M.Sc. 2007-2009 9th
25 P. Nachammal M.Sc. 2007-2009 10th
26 S. Nithya M.Sc. 2008-2010 5th
27 D. Gayathri M.Sc. 2009-2011 5th
28 G. Praveen M.Sc. 2011-2013 6th