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Department of Mathematics

Overview

The Department of Mathematics was established in the year 2009. It offers full time B.Sc., M.Sc., and Research (M.Phil / Ph.D) Programmes in Mathematics. The Department of Mathematics is committed to impart quality education through well qualified and experienced Faculty Members and promotes the growth of effective, efficient and true professionals. Also, fine tunes them to face the challenges in the corporate world.

The Department is also supporting other departments by handling Mathematics and Statistics related allied courses.

The Department has organized several Workshops including Science Academies sponsored Workshop on “Algebra and Analysis” for the benefit of teachers and research scholars in Universities / Colleges. To impart the knowledge about real-time industry practices, the Department frequently organises guest lectures, workshops and seminars inviting eminent persons from industries. The department concentrates on Industry Interface by signing MoU.

The alumni of the department have achieved greater heights in the different platforms. The students were placed in Government, Corporates, Research Institutions and Educational Institutions. The students were placed in reputed organisations like Oracle, Wipro, Infosys, Zifo RnD Solutions, Capgemini, Cognizant etc.

The Department has a good record by way of producing more than 30 Ph.D’s, and 25 M.Phil’s. The Department has so far produced a sizable number of research papers in leading national and international journals. The Department publishes the International Journal of Applied Mathematics. This is a broad-based journal covering all branches of Applied Mathematics. The objective is to publish high-quality original contributions and “state of art” papers in all areas of Mathematics with a broad range of application to scientific problems. It will have one volume per year with two issues published in April and October. The language of publication is English.

Programme

Programmes
  1. Under Graduate Programme
    • B.Sc Mathematics
  2. Post Graduate Programme
    • M.Sc Mathematics
  3. Research Programmes
    • M.Phil Mathematics
    • Ph.D. Mathematics
Curriculum

Faculty

Name Qualification Designation Email ID Profile
Dr.M.M.Shanmugapriya M.Sc., M.Phil., PGDCA., Ph.D. Professor shanmugapriya.mm@kahedu.edu.in Click Here
Dr.K.Kalidass M.Sc., M.Phil., Ph.D., SET. Professor kalidass.k@kahedu.edu.in Click Here
Dr.M.Jeganathan M.Sc (Stat)., M.B.A(HR)., M.Sc(App.Psy)., PGDCA., Ph.D. Associate Professor jeganathan.m@kahedu.edu.in Click Here
Mr.U.R.Ramakrishnan M.Sc., M.Phil., SET., (Ph.D.) Assistant Professor ramakrishnan.ur@kahedu.edu.in Click Here
Ms.M.Sangeetha M.Sc., M.Phil., B.Ed. Assistant Professor sangeetha.m@kahedu.edu.in Click Here
Mr.V.Kuppusamy M.Sc., M.Phil., SET. Assistant Professor kuppusamy.v@kahedu.edu.in Click Here
Dr.P.Victor M.Sc., M.Phil., Ph.D. Assistant Professor victor.p@kahedu.edu.in Click Here
Dr.M.Santhi M.Sc., M.Phil., Ph.D. Assistant Professor drsanthi.m@kahedu.edu.in Click Here
Ms.J.Jansi M.Sc., M.Phil., (Ph.D) Assistant Professor jansi.j@kahedu.edu.in Click Here
Dr.S.Sowmiya M.Sc., Ph.D. Assistant Professor drsowmiya.s@kahedu.edu.in Click Here
Ms.R.Gayathri M.Sc., M.Phil. Assistant Professor gayathri.r@kahedu.edu.in Click Here
Ms.K.Kannathal M.Sc., M.Phil, B.Ed. Assistant Professor kannathal.kasi@kahedu.edu.in Click Here
Dr.M.Ilayaraja M.Sc., M.Phil., Ph.D. Assistant Professor ilayaraja.maniprakasam@kahedu.edu.in Click Here
Mr.T.Rameshkumar M.Sc., M.Phil., SET, (Ph.D) Assistant Professor rameshkumar.thirumurthy@kahedu.edu.in Click Here
Dr.R.Manjuram M.Sc.,B.Ed.,  M.Phil., Ph.D., SET Assistant Professor manjuram.ramalingam@kahedu.edu.in Click Here

Infrastructure

    • Staff Room : 2 rooms
    • Class Rooms : 5 rooms
    • Laboratory – Computer Lab: 1
    • Library:  The library has around 200 books and also Journals of national and international level on different areas.
    • Inkjet Printers, Scanner On-line U.P.S. Overhead projector LCD

Publications

Best Five Papers Faculty wise:

Paper publications by the Faculty Members

 

Dr.M.M.Shanmugapriya

  1. S.K.Mala and M.M.Shanmugapriya (2020). “ Maximal Product of An Intuitionistic Fuzzy Ideal Graph of Mγ Group in Near-Rings” Advances in Mathematics: Scientific Journal , Spec. Issue on NCFCTA-2020, Vol. 9 Issue 4, P. No.:1689-1697. (Scopus indexed).
  2. S.K.Mala and M.M.Shanmugapriya (2019). “Graph of an Intuitionistic Fuzzy Ideal of M┌ Groups in Near Rings”, International Journal of Innovative Technology and Exploring Engineering Vol. 8 Issue-10, P.No.:3154-3157, (Scopus indexed).
  3. S.K.Mala and M.M.Shanmugapriya (2018). “Intuitionistic Fuzzy Ideals of Gamma Near-Rings” Jour of Adv Research in Dynamical & Control Systems, Vol. 10, 14-Special Issue, P.No.:780-785(Scopus indexed).
  4. Nemani Varalakshmi and M.Shanmugapriya (2017). “The Relevance Study of Fuzzy Analytic Hierarchy Process for the Investigation of Non-Performing Assets in Indian Financial Sectors”, Journal of Advanced Research in Dynamical & Control Systems, Vol:9, Issue: 8, P.No:125-130. (Scopus indexed).
  5. Poornima and M.M.Shanmugapriya (2016). “Solving Fuzzy Simultaneous Equations by the Fuzzy Laplace Transform Method”, International Journal of Applied Engineering Research, Vol. 11, Issue 1, P.No.: 64-71. (Scopus indexed).

Dr. K. Kalidass

  1. I.G. S. Sampath and K. Kalidass, (2019). Transient analysis of a repairable single server queue with working vacations and system disasters. In: Vishnevskiy V., Samouylov K., Kozyrev D. (eds) Distributed Computer and Communication Networks. DCCN 2019. Communications in Computer and Information Science, Vol 1141. (Springer)
  2. Suranga Sampath, M.I.G. Jicheng Liu and Kalidass. (2020). Transient Analysis of an M/M/1 Queueing System subjected to multiple differentiated vacations, impatient customers and a waiting server with application to IEEE 80.16E power saving Mechanism, Indian Journal Pure and Applied Mathematics (Springer.), 51(1) P.No.:,297-320.
  3. Vijayalakshmi and K. Kalidass. (2018). The single server vacation queue with geometric abandonments and Bernoulli’s feedbacks, International Journal of Engineering & Technology, 7(2.21), P.No.:172-179.
  4. S. Muthukumaran, M. Thiyagarajan and K. Kalidass. (2019). The effect of catastrophes on a single server queueing system with finite capacity, Journal of Advanced Research in Dynamical and Control Systems, 11(1 Special Issue), P.No.: 1617–1626
  5. S. Ajiethkumar, K. Kalidass and K. Bhuvaneswari, (2017). Finite topology bases image analysis, International Journal of Pure and Applied Mathematics, 116(23), P.No.:685-705.

Dr.M.Jeganathan

  1. M.Jeganathan and S.Ravi Sankar (2019). “Developing a Supply Chain Model for Attribute Acceptance Single Sampling Plan through Simulation Technique”, Research Review International Journal of Multidisciplinary, Vol.04 , Issue. 04, P.No.: 1294-1300.
  2. M.Jeganathan and S.Ravi Sankar(2019). “Comparison of Double Sampling Plan with Single Sampling Plan in Supply Chain Management System – A Simulation Study”, International Journal of Advanced Scientific Research and Management, Vol. 4, Issue 5, P.No.: 34-39.
  3. Jeganathan. M, Henna Shenofer. A and Praveen Kumar, R, (2017). “An Alternate Method to Matrix Minima Method of Solving Transportation Problem”, International Journal of Pure and Applied Mathematics,Vol. 117 Issue 21, P.No.: 489-495.
  4. Jeganathan. M, (2013). “Implementation Process of eCRM”, Journal of Commerce and Management B-DIGEST, Vol.1 Issue 1, P.No.: 133-139.
  5. Jeganathan. M, (2013). “Approaches of Implementing Quality Measures Accompanied by Higher Education Institutions in India”, Margham Publications, Vol.2, Issue 1, P.No.: 67 – 69.

Dr. P. Victor

  1. P. Victor and M. Chandramouleeswaran (2019). “S-Vertex colouring on Categorical product of S-valued graphs”, Malaya Journal of Matematik, Special Issue No.1.
  2. P. Victor and M. Chandramouleeswaran (2018). “Irregularity on Categorical product of S-Valued Graphs”, Journal of Computer and Mathematical Sciences, Vol. 09 No.12, P.No.: 2207-2212.
  3. P. Victor and M. Chandramouleeswaran (2018). “Isomorphism on S-valued Graphs”, Mathematical Sciences International Research Journal, Vol.06, Special Issue, P.No.: 253- 257.
  4. P. Victor and M. Chandramouleeswaran (2017). “Categorical Product of S-valued graphs”, International Journal of Mathematical Sciences and Engineering Applications., Vol.11, No.03, P.No.: 113-122.

Ms. J. Jansi

  1. J. Jansi, P. Jegathambal, S. Devaraj Arumainayagam (2019) Identifying the Relationship between Groundwater Samples and Water Quality Parameters UsingdataminingTechniquesin Coimbatore District.International Journal of Recent Technology and Engineering (IJRTE) Volume-8 Issue-1, 177-185.
  1. M. Vijila, J. Jansi and P.S. Divya, (2018) Product control for non-destructive components in intermittent production process through average outgoing quality with MCChSP –(C1,C2, i, j) algorithm, International Journal of Mechanical Engineering and Technology. Volume 9, Issue 11, 1484-1489

Dr. S. Sowmiya

  1. P. Karthick, K. Nivethitha and S. Sowmiya (2020), “Material selection model using spherical Dombi fuzzy graph approach”, Materials Today: Proceedings, (Article in Press).
  2. S.Yasotha, S.Sowmiya and B.Vennila (2020), “Cuckoo Search Based Clustering with Efficient Network Coding to Improve Reliability in Mobile ADHOC Network”, WAFFEN-UND KOSTUMKUNDE JOURNAL, Vol. 11, 158-173.
  3. S. Narayanamoorthy and S. Sowmiya (2018), “Controllability result for nonlinear Impulsive Neutral fuzzy stochastic differential equations in Banach Space”, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, Vol.25, 79-91.
  4. S. Narayanamoorthy and S. Sowmiya (2015), “Approximate Controllability result for nonlinear Impulsive Neutral fuzzy stochastic differential equation with nonlocal conditions”, Advances in Difference Equations, Vol. 121, 1-16.
  5. S. Narayanamoorthy and S. Sowmiya (2015), “Explicit Solution between Homogenous and d-dimensional Linear Fuzzy Stochastic Differential Equations”, International Journal of Applied Engineering Research, Vol. 10, 961-970.

Dr. M. Ilayaraja

  1. M. Ilayaraja and A. Muthusamy, (2020) “Decomposition of Complete Bipartite Graphs into Cycles and Stars with Four Edges”, AKCE International Journal of Graphs and Combinatoric (Taylor & Francis), VOL. 17, NO. 3, 697–702. (Indexed: SCIE).
  2. M. Ilayaraja, K. Sowndhariya and A. Muthusamy, (2020) “Decomposition of Product Graphs into Paths and Stars on Five Vertices”, AKCE International Journal of Graphs and Combinatorics (Taylor & Francis), VOL. 17, NO. 3, 777–783. (Indexed: SCIE).
  3. M. Ilayaraja and A. Muthusamy, “Decomposition of Complete Graphs into Paths and Stars with Different Number of Edges”. To appear in Journal of Combinatorial Mathematics and Combinatorial Computing. (Indexed: Scopus).

Mr. T. Rameshkumar

  1. S. Indhu, T. MathiSujitha, T. Rameshkumar, (2018), “On Soft gsr-closed sets in Soft Bi-topological Spaces”, Indian Journal of Engineering Development and Research, Vol. 6, Issue 1, ISSN 2321-9939.
  2. T. Rameshkumar, T. C. Sathyapriya, (2018), “Border and Exterior of Soft #gα-closed sets in Soft Bi-topological Spaces” , International Journal for Research in Applied Science & Engineering Technology, Vol. 6, Issue. 1, ISSN No: 2321-9653.
  3. C. Sathyapriya, T. Rameshkumar, (2018), “Frontier of Soft semi #gα-closed sets in Soft Bi-topological spaces”,International Journal of Advance Engineering and Research Development, Vol. 05, Issue 02, ISSN No: 2348, -6406.
  4. B. Barathi, S. Sathiya, T. Rameshkumar, (2017), “On Soft sgb-closed sets in Bi-topological spaces”, International Journal of Advance Engineering and Research Development (IJAERD), Vol. 04, Issue 12, ISSN: 2348-6406.

Dr. R. Manjuram

  1. V. Muthulakshmi and R. Manjuram, (2020),“Interval oscillation of damped second-order mixed nonlinear differential equation with variable delay under impulse effects”, Journal of Applied Nonlinear Dynamics, Vol. 9(3), 493-511 | DOI: 10.5890/JAND.2020.09.011.
  2. R.Manjuram and V.Muthulakshmi, (2020),”Oscillatory behavior of damped second-order nonlinear delay differential equations with Riemann-Stieltjes integral”, AIP Conference Proceedings. Vol. 2261. No. 1, 030134-1-19 | DOI: 10.1063/5.0017693.
  1. V. Muthulakshmi and R. Manjuram, (2019),“Interval criteria for oscillation of damped second-order nonlinear impulsive differential equation with variable delay”, Journal of Discontinuity, Nonlinearity and Complexity, Vol. 8(4), 403-418 | DOI: 10.5890/DNC.2019.12.005.
  1. V. Muthulakshmi and R. Manjuram, (2016).” Interval criteria for oscillation of second-order impulsive delay differential equation with mixed nonlinearities”, Malaya Journal of Matematik, Vol. 4(3), 404-420.

Events

GUEST LECTURE

  1. A Webinar on “Strategy to Succeed in CSIR-NET, SET and GATE Exam in Mathematics”, was delivered by the Resource Person Dr. P. Prabakaran, Assistant Professor, Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Erode on January 09, 2021.
  2. A Webinar on “Machine learning on Statistical tools”, was delivered by the Resource Person Dr M. Vijila, Assistant Professor, Department of Mathematics, Karunya Institute of Technology, Coimbatore on January 08, 2021.
  3. A Webinar on “Mathematical Applications of Management Decisions”, was delivered by the Resource Person Dr. Varalakshmi Alapati, Associate Professor, Department of Commerce, Manipal Academy of Higher Education, Manipal on December 26, 2020.
  4. The Department of Mathematics was organized the Endowment Guest Lecture for National Mathematics Day 2020 in the topic “Robust Numerical Schemes for Differential Equations Exhibiting Boundary Layers” was delivered by the Resource Person Dr. Natesan Srinivasan, Professor, Department of Mathematics, Indian Institute of Technology, Guwahati on December 22, 2020.
  5. A Webinar on “Distance Magic Graphs”, was delivered by the Resource Person Dr. N. Kamatchi, Associate Professor, Department of Science and Humanities, Kamaraj College of Engineering & Technology, Virudhunagar on August 08, 2020.
  6. A Webinar on “Career Advancement in Data Analytics” was delivered by the Resource Person Raguraman Srinivasan, Managing Director and Founder ,EDAIN FRONT Solutions ,Bangalore on June 29,2020.
  7. Skill based special lecture on “Career Guidance and Soft Skills ” was delivered by the Resource Person Ms. J.Mehanaz Fathima, SRF (NRSE-ISRO), Outreach Facility, Hyderabad on February 07, 2020.
  8. A Guest Lecture on “Time Delay Systems” was delivered by the Resource Person Dr. R.Rakkiyappan, Assistant Professor, Department of Mathematics, Bharathiar University, Coimbatore on January 07, 2020.
  9. The Endowment Guest Lecture on “Genesis of Numerical Linear Algebra”, was delivered by the Resource Person Dr. E.Natarajan, Associate Professor , Department of Mathematics, Indian Institute of Space Science and Technology, Kerala on January 06, 2020.
  10. A Guest Lecture on “Graphs Arising from Distance” was delivered by the Resource Person Dr. KM. Kathiresan, Associate Professor , Department of Mathematics, Ayya Nadar Janaki Ammal College,Sivakasi on September 13, 2019.
  11. The Department of Mathematics has Inaugurated Mathematics Association Activities for
    the academic year 2019-2020 on August 22, 2019 and it has delivered a special lecture
    on “Mathematical application in Industries” by Dr.Guru Selvaraj, G M-HR & IR, Flow link Systems(P) Ltd, Coimbatore.
  12. A Guest Lecture on “Topological Spaces” was delivered by the Resource Person Dr. K.Balachandaran, Professor (UGC- BSR), Department of Mathematics, Bharathiar University, on March 07, 2019.
  13. A Guest Lecture on “Numerical Methods and its Applications” was delivered by the Resource Person Dr. V.Sundarapandian, Professor, R&D Center, Vel Tech University, Chennai on January 03, 2019.
  14. A Guest Lecture on “Mathematical Modeling” was delivered by the Resource Person Dr. N.Anbazhagan, Professor and Head, Department of Mathematics, Alagappa University, Karaikudi on August 16, 2018.
  15. A Guest Lecture on “Algebra and Analysis” was delivered by the Resource Person Dr. N.Kamatchi, Associate Professor, Department of Science and Humanities, Kamaraj College of Engineering and Technology, Virudhunagar on August 06, 2018.
  16. Skill based special lecture on “Soft Skills and Hard Skills opportunities in banking” was delivered by the Resource Person Mr. P.Arun Gopalan, Assistant Manager, South Indian Bank, Coimbatore on July 28, 2018.
  17. A Guest Lecture on “Fuzzy Topology” was delivered by the Resource Person Dr. G.Thangaraj, Professor and Head, Department of Mathematics, Thiruvalluvar University, Vellore on January 29, 2018.
  18. A Guest Lecture on “Applications of Mathematics in Industry” was delivered by the Resource Person S.Raguraman, Sr.Director , CTS, Bangalore on August 05, 2017.
  19. A Guest Lecture on “Mathematical Modelling” was delivered by the Resource Person Dr. K.Bhuvaneswari, Associate Professor and Head, Department of Mathematics, Mother Teresa Women’s University, Kodaikkanal on February 20, 2017.
  20. A Guest Lecture on “Algebra and its Applications in real life” was delivered by the Resource Person Dr. R.Uthayakumar, Professor, Department of Mathematics, The Gandhigram Rural Institute, Gandhigram on September 29, 2016.
  21. A Guest Lecture on “Graph Theory and its Applications in Real Life” was delivered by the Resource Person Dr.N.Murugesan, Assistant Professor, Department of Mathematics, Govt. Arts College, Coimbatore on August 24, 2016.
  22. A Guest Lecture on “Fundamentals of Fluid Dynamics” was delivered by the Resource Person Dr.P.T. Hemamalini, Professor and Head, Department of Science and Humanities, Karpagam Academy of Higher Education, Coimbatore on January 29, 2016.
  23. The Department of Mathematics was organized special lecture for Ramanujan Day-2015 in the topic “Contribution of Srinivasa Ramanujan to Infinite Series and Continued fraction in Mathematics” was delivered by the Resource Person Dr.A.Angurag, Associate Professor, Department of Mathematics, P.S.G. College of Arts and Science, Coimbatore on December 22, 2015.
  24. A Guest Lecture on “Applications of Differential Equations” was delivered by the Resource Person Dr.S.Marshal Anthoni, Associate Professor, Department of Mathematics, Anna University Regional Center, Coimbatore on October 08, 2015.
  25. A Guest Lecture on “Fractal Analysis” was delivered by the Resource Person Dr. R.Uthayakumar, Professor, Department of Mathematics, The Gandhigram Rural Institute, Gandhigram on August 12, 2015.

WORKSHOP

  1. A Workshop on “Math in MATLAB” was conducted by Dr. P. K . Saranya, Head, Department of Computer Science, RT National college of Arts and Science, Erode on February 02, 2021.
  2. Two Day workshop on Algebra and Analysis for CSIR-UGC NET Aspirants by Dr.K.M. Kathiresan, Director, Center for Graph theory Department of Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi and Dr. R. Roopkumar, Associate Professor, Department of Mathematics, Central university of Tamilnadu, Thiruvarur on October 03&04,2018.
  3. Science Academics Lecture Workshop on “Algebra and Analysis” conducted by Dr. D. S. Nagaraj, C.I.T. Campus, Tharamani, Chennai, Prof. S. Kesavan, IIT Madras, Chennai and by Prof. K. N. Raghavan, IMSc, CIT Chennai Campus, Tharamani, Chennai on January 04 & 05,2017.
  4. A One day National level Workshop on “MATLAB” was conducted by Dr. S. Ruban Raj, Associate Professor, Department Of Mathematics, St. Joseph’s college, Tiruchirappalli on September 03, 2016.
  5. SSD Workshop on “Mastering self for a grate career and life” was conducted by Mr. R. Aravindkumar, CEO, Academics Initiative, KGisl Educational Institutions, Comibatore on February 02,2019.

CONFERENCES/ SEMINAR

  1. A State Level Conference on “Emerging Trends in Mathematical Sciences-2020 (ETMS-20) Conducted on March 03,2020 by Dr. N. Kamatchi, Associate Professor Department of Mathematics, Kamaraj College of Engg & Tech, Virudhunagar.
  2. One day National Seminar on “Recent Development in Pure and Applied Mathematics” was conducted by Dr.K.A. Germina, Associate Professor, Department of Mathematics, Central University of Kerala and Dr.S. Saravanan, Professor and Head, Department of Mathematics, Bharathiar University, Coimbatore on September 15, 2017.

SYMPOSIUM

  1. The Department of Mathematics has organized an inter college meet “ZONAZA 2K20” on January 24, 2020.

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