Mathematics

The Department of Mathematics is one of the oldest departments of the college. The department is handling classes in Engineering Mathematics and related Mathematics papers for B.Tech, B.Arch, MCA and M.Tech Programmes. The Academic ambience of the department is enhanced with a good Library. The Department is having 4 PhD holders among 6 Associate Professors and 4 Assistant Professors. The faculties of the department are highly dedicated and working efficiently in the current areas of research. The major research areas include Graph Theory, Algebraic Graph Theory, Fuzzy and Discrete Mathematics.   Two faculty members in the department are approved research guides in Kerala University. The department is regularly conducting workshops and National Seminars to expose the Mathematics faculty of Engineering Colleges to the recent developments in the frontier areas of the Subject.

Contact Information

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Prof. Beena P

Associate Professor (HOD)

Associate Professor, Department of Mathematics, TKMCE, Kollam-5.


Email: hod.maths@tkmce.ac.in

Office Phone:

Mobile: 9495781381

Faculty

NameDesignationEmail
Prof. Beena PAssociate Professor (HOD)beenamax@gmail.com
Dr. Geetha KAssociate Professorgeetha@tkmce.ac.in
Dr. Mathew Varkey T.K Assistant Professormathewvarkeytk@gmail.com
Dr. Teena Liza JohnAssistant Professorteenavinu@gmail.com
Prof. Rajesh Kumar T J Assistant Professorvptjrk@gmail.com
Prof.Riyas AAssistant Professorriyasmaths@gmail.com
Ms. Chinju N Ad-hoc/Guestvedasmrithi2014@gmail.com
Mr. Arun Kumar A G Ad-hoc/Guestarunkumarag92@gmail.com
Ms. Sameera K Ad-hoc/Guestksameera.sulfi@gmail.com

Research

Publications

  • K Geetha “Semi group of Singular Endomorphism’s”, Semigroup Forum, Vol.58 (1999), 207-221.
  • K Geetha “Characterisation of minimal E-chains of diagonal matrices”, Bulletin of Kerala Mathematical Association, Vol.5, No.1 (2008), 57-66.
  • K Geetha “Characterisation of E-cycles of Matrices belonging to subgroups of SN”, Bulletin of Kerala Mathematical Association, Vol.6, No.1 (2010).
  • Mathew Varkey.T.K and Shajahan.A “A Note on Graceful Labelling of a class of trees “, International Journal of Mathematical Combinatorics,Vol II 2013 June ,91-96.
  • Mathew Varkey .T.K and Teena Liza John “More results on Pentagonal sum graphs” Bulletin of Kerala Mathematical Association, Vol.10, No.1, 2013 June.
  • Teena Liza John and Mathew Varkey.T.K “More on P*Graceful graphs” International Journal of Mathematical Combinatorics, Vol III 2013 Sept.
  • Teena Liza John and Mathew Varkey.T.K “Lie Labelling on Product graphs” International Journal of Mathematical Combinatorics, Vol III 2014.
  • K Geetha and Riyas A. A study on Hamiltonian property of Cayley graphs over non abelian groups, International journal of Mathematical Combinatorics (IJMC) .Vol 3 2016
  • Rajesh Kumar T.J and Mathew Varkey T.K Odd Graceful Labeling on Two Classes of Graphs, General Mathematics Notes,Vol.34,June 2016
  • Rajesh Kumar T.J and Mathew Varkey T.K Even Graceful Labeling of a class of Trees,International Journal on Application of Graph Theory in Wireless Adhoc Networks and Sensor Networks (GRAPH-HOC) ,Vol.7,December 2015
  • Rajesh Kumar T.J and Mathew Varkey T.K , Adjacency Matrices of odd Graceful Graphs,Bulletin of Kerala Mathematical Association,Vol.12,December 2015
  • Mathew Varkey T.K, Sunoj B.S, A note on prime and sequential labeling of finite graphs, International Journal of mathematical Combinatorics, Vol:1(2015) 80-85.]
  • Teena Liza John, Mathew Varkey T.K, Different Labelings on parallel transformation of a class of trees, International Journal of mathematical Combinatorics, Vol:2 (2016) 139-143.]
  • Mathew Varkey T.K, Sunoj B.S, ADCSS-Labeling of cycle related graphs, International Journal of scientific research and education, Vol:4, Issue:8, August (2016) 5702-5705.]
  • Mathew Varkey T.K, Sunoj B.S, An absolute differences of cubic and square sum labeling of splitting graphs, International Journal of computer and mathematical sciences, Vol:5, Issue:8, August (2016) 16-18.]
  • Mathew Varkey T.K, Sunoj B.S, An absolute differences of cubic and square sum labeling of certain classes of graphs, International Journal of mathematics trends and technology (IJMTT)), Vol:36, No:1, August (2016) 77-79.]
  • Mathew Varkey T.K, Sunoj B.S, A note on absolute differences of cubic and square sum labeling of class of trees, International Journal of scientific engineering and applied science (IJSEAS), Vol:2, Issue:8, August (2016) 293-296.]
  • Mathew Varkey T.K, Sunoj B.S, Some new results on absolute differences on cubic and square sum labeling of a class of graphs, International journal of science and research. Vol:5, Issue:8 (2016), 1466-1467.]
  • Mathew Varkey T.K, Sunoj B.S, ADCSS-Labeling of Product related graphs, International journal mathematics and its applications, vol:4, Issue:2-B (2016), 145-149.]
  • Mathew Varkey T.K, Sunoj B.S, ADCSS- Labeling 2 – Tuple Graphs of Some Graphs, IOSR Journal of Mathematics, Vol:12, Issue:5 (Sept-Oct 2016), 145-149.]
  • Mathew Varkey T.K, Sunoj B.S, ADCSS Labeling of some total graphs, International journal of Mathematics trends and technology, Vol:38 No:1 (Oct, 2016).]
  • Mathew Varkey T.K, Sunoj B.S, Some new families odd graceful graphs, International Journal of mathematical Combinatorics, Vol:3 (Oct-2016) 118-125.]

Achievements

  • Dr.K.Geetha is an approved  Research guide of Kerala University and Dr.Mathew Varkey .T.K is an approved Research guide of Kerala University and Mahatma Gandhi University.
  • A Six day Faculty Development Programme was organized by the department from 04-01-2016 to 09-01-2016 on “ MATHEMATICAL CHALLENGES IN CYBER SECURITY “under Teqip II. About 60 teachers from various engineering colleges participated in the FDP. Prof .Vijayagovindan, N.S.S College,Ottappalam, Prof.Binu.V.P,College of Engineering ,Karunagappally , Prof.Frahad Muzadeeq ,Adjunct Professor,College of Engineering,Trivanrum , Dr.Preetha Mathew.K,Associate Professor,Cochin University College of Engineering,Kuttanad , Mr.Bhadran,Associate Director,C-DAC , Mr.Satheesh Kumar.S,Senior Engineer,C-DAC , Dr.Sudeep.K.S,Assistant Professor,NIT Calicut , Mr.Suresh Shankar,Information Security Manager,TCS,Cochin , Mr.Christy Jacob,Data Scientist,TCS , Ms.Arya Krishnan,IIITMK , Dr.Sangeetha Jose ,Assistant Professor,Govt College of Engineering,Idukki were the resource persons. It was coordinated by Dr.K.Geetha.
  • A two day workshop organized by the department from 27-11-2014 to 28-11-2014 on “RECENT ADVANCES IN APPLIED MATHEMATICS “under Teqip II. About 60 teachers from various engineering colleges participated in the Workshop. Prof .A. Vijayakumar , Professor, Department of Mathematics, CUSAT, Dr. Sunil Mathew  NIT, Calicut. Dr.N.Narayanan IIT Madras and Dr. Deepak T. G.  IIST, Thiruvananthapuram were the resource persons. It was coordinated by Teena Liza John.
  • A three day workshop organized by the department from 21-11-2013 to 23-11-2013 on “MATHEMATICAL PROGRAMMING TECHNIQUES “under Teqip II. About 55 teachers from various engineering colleges participated in the Workshop. Dr.E.Krishnan, Retired Professor, Department of Mathematics, University College Trivandrum, Mr.Adersh.V.K, Assistant Professor, Department of Mathematics, TKM College of Arts and Science, Kollam and Mr.Sumesh.S, Assistant Professor, Department of Mathematics, St.Johns College Anchal were the resource persons. It was coordinated by Rajesh Kumar.T.J
  • Department organized one day workshop in “FUZZY LOGIC AND GRAPH THEORY” 0n 24-08-2013 under Teqip II. Dr.Sunny Kuriakose, Principal, BPC College, Piravom and Dr.Darsanambika, Associate Professor, Fathima Matha National College,Kollam have taken the sessions.Dr.Mathew Varkey.T.K was coordinated and about 50 teachers from various engineering colleges participated in the workshop.

News

Subjects Offered

B.Tech

  • MA 101- CALCULUS-First Semester
  • MA 102- DIFFERENTIAL EQUATIONS-Second Semester
  • MA 201-COMPLEX ANALYSIS AND LINEAR ALGEBRA-Third Semester
  • MA 202-PROBABILITY DISTRIBUTIONS,TRANSFORMS AND NUMERICAL METHODS-Fourth Semester
  • MA 204- PROBABILITY DISTRIBUTIONS,RANDOM PROCESSES AND NUMERICAL METHODS-Fourth Semester (Electronics and Communication Engineering)
  • 501-ENGINEERING MATHEMATICS IV –Fifth Semester
  • 502-ADVANCED MATHEMATICS AND QUEUEING MODELS- Fifth Semester(COMPUTER SCIENCE)

MCA

  • RLMCA 103-DISCRETE MATHEMATICS –First Semester(KTU)
  • RLMCA 105-APPLIED PROBABILITY AND STATISTICS- First Semester(KTU)
  • RLMCA 133-APPLIED STATISTICS LAB-First Semester(KTU)
  • RLMCA108-OPERATIONS RESEARCH-Second Semester(KTU)
  • 301-COMBINATORICS AND GRAPH THEORY-Third Semester(KU 2015 Scheme)
  • 302-NUMERICAL ANALYSIS AND OPTIMIZATION-Fourth Semester(KU 2015 Scheme)

M.Tech 

        (1) 02ME6211-APPLIED MATHEMATICS-First Semester (Industrial Refrigeration and Cryogenics       Engineering)

ARCH

  • MA103-MATHEMATICS-First Semester

Time Table

maths-timetable-4

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