WELCOME TO CATHOLICATE COLLEGE, PATHANAMTHITTA.
                                 Dr.Renny P. Varghese  Dr.Renny P. Varghese , M.Sc.,Ph.D, PGDDE, M...
Head of the Department

Department of Mathematics

There is really no discipline that is more tightly intertwined

The department was started in 1955 and PG course in 1984. The department is an approved Research Centre from 2010 by MG University. The department was published more than 40 papers in national and international journals. The department has been identified by UGC for PG grant and FIST.

The department conducted All Kerala Mathematics Talent Search Quiz competition for +1, +2 students on each year. Last year the winners are :

  1. St. John’s school Thumpamon
  2. Catholicate H.S.S. Pathanamthitta
  3. Metropolitan H.S.S. Puthencavu Chengannur

The department conducted “GURUVANDANAM” on 13th July 2015 to remember the honourable service of the retired teachers. A talk on “Personality development and Career guidance”by Fr. Pradeep Vazhatharamalayil, The Principal MACFAST Thiruvalla was also a part of the programme.

This year department celebrated “? ” Approximation day on 22nd july 2015. Principal Dr. Mathew P. Joseph anaugurated the programme. Chart and poster prepared by the students are displayed. A documentary on the importance of “  ” is also a part of the programme.

One of our faculty members Prof. Alexander V. George appointed as the Principal of M.D. College, Pazhanji from 2014 – 2015 and the Principal of Baselius College Kottayam from 2015 onwards.


Courses Of Department

B.Sc. Mathematics

Physics and Statistics

M.Sc. Mathematics

---

Ph.D in Mathematics

---

Statistical Computing and Data Analysis

Add-on Course


Faculties

Team1

Dr.Renny P. Varghese

Head Of The Department

M.Sc.,Ph.D, PGDDE, MBA, M.A. (Pol.Sc.)

0468-2352001

The Department of Mathematics plans to continue with its intensive research interests alongside its regular teaching as well as to maintain, and if possible, expand areas for seminars/conferences.

Dr. Beena Koshy

M.Sc., B.Ed., Ph.D.

Asst Professor

0468-2341977

Manju John

M.Sc., B.Ed., M.Phil

Asst Professor

0468-2351138

Deepa Susan Oommen

M.Sc. B.Ed.

Asst Professor

0469-2630796

Dr. Dais George

M.Sc., M.Ed., M.Phil. (Statistics), Ph.D. DCPT

Associate Professor

0481-2543558, 0468-2224354

Faculty Achievements

Students Achievements

  • Lowcy Raju got fifth position in MG University M.Sc. Examination 2015
  • Dilsha Kunjumon, D3 Mathematics got INSPIRE scholarship (Rs.80,000/- per year) for the year 2013-2016
  • Blessy Susan Eapen got third prize in district level essay competition in connection with National Voluntary blood donation day(29-09-2015)
  • Blessy Susan Eapen and Jinu James got second prize in quiz competition organized by district disaster management authority.(16-07-2015)
  • Blessy Susan Eapen and Stanley Wilson got first prize in interdepartmental environmental quiz competition(05-06-2015)
  • Blessy Susan Eapen got second prize in All India Co-operative district level essay competition(20-11-2015)
  • Blessy Susan Eapen got first prize in All India Co-operative Week Taluk level essay competition(19-11-2015)
  • Blessy Susan Eapen and Jinu James got first prize in Interdepartmental Quiz competition coductd by Department of Zoology
  • Bijin S. and Gadha J Prasad got second prize in Interdepartmental Quiz competition coductd by Department of Zoology
  • Blessy Susan Eapen and Bijin S. got third prize in the district level quiz competition held in connection with National voters day
  • Blessy Susan Eapen got second place in quiz competition held at SNDP College Konni.
  • Libin C Mathew represented Kerala state in senior south zone national soft ball championship(8-10 August 2015)
  • Akhil Vijayan got third prize in EUREKA , a quiz competition conducted by Assumption College, Changanacherry.

International seminar

One day international seminar on “Applications of Higher Mathematics in Biology and Management”on 13th june 2013. Prof. Dr. Ealasukanthan Thavanayagan(University of Canterbury Newzealand), Prof. Dr. Gnanavinthan (University of Waikato, Newzealand) and Prof. Jose Mathew (University of Canada) were the resource persons.

Two day international seminar on “Algebra and Topology “was conducted by the department. Dr. George R. Thomas (University of Canada), Dr. T. Indulal(St. Alosyus college, Edathua) and Dr. P. B. Vinod Kumar (Rajagiri College of Engineering Kochi) were the resource persons.

A two day International seminar on Algebra and Topology was conducted Dr.George R.Thomas Canada, Dr.G.Indulal. St.Alosius College Edathua, Dr.Vinodkumar Rajagiri School of Engineering and Technology was the resource person. 

National Seminar

Two day UGC sponsored national seminar on “Analysis and its Applications “ was conducted on 8th and 9th December 2011. Hon’ble P.V.C. of MG University Dr. Rajan Varghese inaugurated the seminar. Dr. V. Swaminathan(Madurai), Dr. N. Sridharan (Alagappa University karaikudi), Dr. P. Veeramani (IIT Madras) Dr. M. S. Blasubramani (Mangalore University), Dr. K.S.S. Moosath (iist Trivandrum) and Dr. P. B. Vinod Kumar (Rajagiri College of Engineering Kochi) were the resource persons.

Regional seminar

Department of Mathematics conducted a regional seminar on fuzzy mathematics and its application on computer science on 9th Nov 2010 M.G.University PVC Inaugurated the seminar. Dr.Sunny Kuriakose,Principal BPC College Piravom, Dr.MS Samuel Director Dept of computer science MACFAST,Thiruvalla were the chief resource persons.

Orientation Programme

The Dept conducted orientation programmes for M.Sc and B.Sc degree classes. Fr.V.M.James was the resource person. Prof.Alexander V.George was the convenor of the programme

Paper Publications

Name National International
Prof. Renny P. Varghese Nil 1
Dr. Beena Koshy Nil 6

Personal details

Prof. Renny P. Varghese

Co-ordinator IGNOU SC – 1404, Catholicate College Pathanamthitta.

 

Congratulations!!!!!!

It is with great pleasure we congratulate the  two guest faculty-Sri.Abhijith Ajayakumar and Sri.Rogin Alex George in the Department of Mathematics for qualifying the JRF-NET 2018 exam.

Wish you all success!!!!!

Research Publications

 

Name of the Teacher Title of the Paper Name of the Journal National /International Year of Publication Impact Factor Vol & Issue Page No ISSN
Dr. Renny P Varghese On the Normalized Laplacian Spectrum of Some graphs Kragujevac Journal of Mathematics International 2020 0.6 44(3) 431-442 2406-3045
Dr. Renny P Varghese Second Stage Spectrum of some non-regular graphs Far East Journal of Mathematical Sciences International 2019 1.34 114(3) 39-54 0972-0871
Dr. Renny P Varghese The spectrum of duplication corresponding corona of graphs Bulletin of Kerala Mathematics Association International 2018 0.22 15(2) 161-168 0973-2721
Dr. Renny P Varghese Vertex complement spectra of some graphs Annals of Pure and Applied Mathematics International 2018 0.79 16(1) 69-80 2279-0888
Dr. Renny P Varghese Spectrum of some new product of graphs and its applications Global Journal of pure and Applied Mathematics International 2017 0.34 13(9) 4493-4504 0973-1768
Dr. Renny P Varghese Spectrum of (k,r)-regular Hypergraphs International Journal of Mathematical Combinatorics International 2017 1.416 2(2017) 52-59 1937-1055
Dr. Renny P Varghese Spectrum of a new join in duplication graph International Journal of Mathematical Combinatorics International 2018 1.416 4(2018) 53-64 1937-1055
Dr. Renny P Varghese Vertex distance complement spectra of regular graphs and its line graphs International Journal of Applied Mathematical Analysis and Applications International 2017 0.45 12(2) 331-231 0973-3868
Dr. Renny P Varghese The spectrum of two new corona of graphs and its applications International Journal of Mathematics and Applications International 2017   5(4) 395-406 2347-1557
Dr. Renny P Varghese Spectra of a new join of two graphs Advances in Theoretical and Applied Mathematics International 2016   11(4) 459-470 0973-4554
Dr Beena Koshy CDPU Hypergraphs International Journal of Mathematics, Trends & Technology International 2020   66(5) 150-154 2231-5373
Dr Beena Koshy Weiner Index of a vertex with respect to a CDPU set Global Journal of Pure & Applied Mathematics International 2020 0.34 16(3) 395-401 0973- 1768

 

Research Publications in Statistics

 

Name of the Teacher Title of the Paper Name of the Journal National /International Year of Publication Impact Factor Vol & Issue Page No ISSN
Dr. Dais George Bayesian Analysis of Two Parameter Weibull Distribution Using Different Loss Functions Stochastic Modelling and Applications International 2020 0.33 24(2) 213-228. 0972-3641
Dr. Dais George Discrete Esscher Transformed Laplace Distribution and its Application Stochastic Modelling and Applications International 2020 0.33     0972-3641
Dr. Dais George Multivariate Esscher Transformed Laplace Distribution Journal of Statistical Theory and Applications International 2020   19(2) 325-331 Online: 2214-1766
Print: 538-7887
Dr. Dais George The Marshall-Olkin Weibull Truncated Negative Binomial Distribution and its Applications STATISTICA International 2019 0.13 79(3) 247-265 1973-2201
Dr. Dais George q- Esscher transformed Laplace distribution Communication Statistics-Theory and Methods International 2019 0.612 48(7) 1563-1578 Print: 0361-0926
Online: 1532-415X
Dr. Dais George A generalized Esscher transformed Laplace distribution and its application International Journal of Statistics and Applied Mathematics International 2018   3(2) 122-126 2456-1452
Dr. Dais George A Mixed Asymmetric Laplace MovingAverage Process Global Journal of Pure and Applied Mathematics International 2017   13(9) 6919-6928 0973-1768
Dr. Dais George Estimation of three parameter Esscher transformed Laplace distribution International Journal of Statistics and Systems International 2017   12(4)
 
669-675 0973-2675
Dr. Dais George A first order moving average model with Esscher transformed Laplace innovations International Journal of Statistics and Systems International 2017   12(4) 797-802 0973-2675
Dr. Dais George Esscher transformed and Geometric Esscher transformed Laplace processes Far East Journal of Theoretical Statistics International 2016 0.987 52(6) 455-483 0972-0863
Dr. Dais George Log-Esscher Transformed Laplace Distribution and Its Applications Journal of Probability and Statistical Science International 2016   14(1) 29-44 1726-3328
Dr. Dais George Some Random Coefficientt Models with Laplace Marginals International Journal of Statistical Distributions and Applications International 2016   2(4) 49-53 2472-3487
Dr. Dais George Lower Confidence Limits for Process Capability Indices Catholicate Journal of Studies and Research National 2017   28(10) 20-28  
Dr. Dais George On a Generalization of Marshall-Olkin Weibull Distribution and its Applications Journal of Kerala Statistical Association National 2017   28 46-67 2249-4553

 


Project Description

Research Projects (Department of Mathematics)

  1. Categorical Approach in uniform spaces and its applications. Principal Investigator - Dr. Susha D.
  2. Application of Mathematics in industry to solve real life problems. Principal Investigator - Dr. Susha D.
  3. Study on CDPU Sets and its applications (UGC Minor project) Principal Investigator - Dr. Beena Koshy
  4. Study on Group Theory and its Applications and Uses. Principal Investigator - Prof. Deepa Susan Oommen
  5. Soft set theory and its applications. Principal Investigator - Prof. Manju John.

Research Projects (Department of Statistics)

  1. Time series modeling on internet traffic data to analyze the server performance (Minor project under UGC). Principal Investigator - Dr. Dais George
  2. Generalizations and applications of Esscher transformed Laplace Distribution (UGC Major project). Principal investigator – Dr. Dais George

Extension Programme

  • The department conducts every year a Quiz programme for the students of Higher Secondary School in District.

Papers Published in the International journals

  • Dr.Susha DDr. Beena Koshy and Dr.Dais George (Statistics) have published 45 research papers in refereed national and international journals.

Members in Academic bodies

Members in M.G.University Senate
Prof.Raju Varughese (Rtd.) 
Prof. Renny P Varghese

Research Guides

  • Dr. Susha D. (Catholicate college Pathanamthitta)
  • Dr. Sunny Joseph Kalayamthankal (K.E. College Mannanam.)
  • Dr. Dais George (Statistics) (Catholicate College Pathanamthitta)

Board of Studies

  • Prof. Renny P. Varghese (2009 - 2014)
  • Prof. Raju Varghese (Rtd.) (2015 - )
  • Dr. Dais George (Statistics) (2016 - )

Major Research Project By Dr. DAIS GEORGE

GENERALIZATIONS AND APPLICATIONS OF ESSCHER TRANSFORMED LAPLACE DISTRIBUTION PROJECT REPORT 
Major Research Project No. F. No. 42-36/2013(SR) dated 01 April 2013.
By Dr. DAIS GEORGE Associate Professor, Department of Statistics Catholicate College, Pathanamthitta Kerala, India daissaji@rediffmail.com.


Co-investigator RIMSHA H Department of Statistics Catholicate College, Pathanamthitta Kerala, India Website: www.catholicatecollege.com


JULY 2019