Dr. Paul Isaac
Associate ProfessorEducation:
Sl. No  Course  Institution  Period  Rank or Grade 

1.  M.Sc (Mathematics)  St. Albert’s College, Ernakulam  198688  Distinction 
2.  M.Phil (Mathematics)  Cochin University of Sci. And Technology  19891990  I Class 
3.  CSIR/UGC JRF  CSIRUGC  Dec 1990  One among the top six at National Level for Mathematics 
4.  Ph.D(Mathematics)  Mahatma Gandhi University  19992004  Awarded PhD in May 2006 
Area of Specialization / Research Interests:
AREA OF SPECIALIZATION / RESEARCH INTERESTS 
Kac Moody Lie Algebra, Fuzzy Commutative Algebra 
Fuzzy Set Theory, Rough Set Theory, Soft Set Theory 
Total PG Level Teaching Experience:
Institution  Designation  Period of Service 
St. Joseph’s College Devagiri Kozhikkode8 
Lecturer in Mathematics  29101992 to 02121996 
Bharata Mata College, Thrikkakara Kochi21 
Lecturer (Sel Gr.) and Later Asso. Professor in Mathematics  03121996 onwards 
Sl.No  Publication  Publication Year 
1.  On Lmodules. Proceedings of the National Conference on Mathematical Modelling, Baselius College, Kottayam, Kerala, India., pages 123–134, March 1416, 2002  2002 
2.  On semisimple Lmodules. Proceedings of the National Seminar on Graph Theory and Fuzzy Mathematics, Catholicate College, Pathanamthitta, Kerala, India., pages 81–90, August 2830, 2003  2003 
3.  Free Lmodules and projective Lmodules. Proceedings of the National Seminar on Fuzzy Mathematics and Applications, Payyanur College, Payyanur, Kerala, India., pages 257–261, January 0810, 2004  2004 
4.  Simple and semisimple Lmodules. Jl. Fuzzy. Math., 12(4):121 – 133, 2004, ISSN : 10668950  2004 
5.  On injective Lmodules. Int. Jl. Mathematics and Math. Sci., 5:747 – 754, 2005, ISSN : 01611712  2005 
6.  On projective Lmodules. Iran. Jl. Fuzzy Sys., 2(1):19 – 28, 2005, ISSN : 17350654  2005 
7.  Essential Lsubmodules of an Lmodule. Jl. Fuzzy. Math., 15(2):355 – 361, 2007, ISSN : 10668950  2007 
8.  Semisimple Lmodules and split exact sequences of Lmodules. Jl. Fuzzy. Math., 15(2):345 – 353, 2007, ISSN : 10668950  2007 
9.  Exactness in Lmodule Theory – I. Int. Rev. of Fuzzy Math., Vol. 4, Number 12, 3744, 2009, ISSN : 09734392.  2009 
10.  Exactness in Lmodule Theory – II. Bull. Kerala Math. Assn. Vol.5, No.1: 39–47, June 2009, ISSN : 09732721  2009 
11.  On intuitionistic fuzzy submodules of a module. Int. Jl. of Mathematical Sciences and Applications, Vol.1, No.3:14471454, September 2011(Coauthor: Pearly P. John).  2011 
12.  IFSM’s of an RModule – A Study. Int. Math. Forum, Vol. 7, 2012, No.19, 935943 (Coauthor: Pearly P. John).  2012 
13.  Homomorphisms and IFSM’s of Quotient Modules. Int. Math. Forum, Vol. 7, 2012, No.19, 945952 (Coauthor: Pearly P. John).  2012 
14.  On the Intuitionistic Fuzzy Normed Linear Space (R^{n}, A). Int. Jl. of Fuzzy Mathematics and Systems, Vol. 2, 2012, No. 2, 95110, ISSN : 22489940 (Coauthor: Maya K.).  2012 
15.  Rough subrings and their properties, Int. Jl. of Math. Sciences, Vol.12, No. 34 (JulyDecember 2013), pp 205216. ISSN : 0972754X. (Coauthor: Neelima C.A.)  2013 
16.  IFSM’s generated by IFS’s, Int. Jl. of Mathematics Research, Vol.5, No. 3 (2013), pp 333341 ISSN : 09765840 (Coauthor: Pearly P. John)  2013 
17.  Direct sum of IFSM’s, Advances in Theoretical and Applied Mathematics, Vol.8, No. 3 (2013), pp 177185 ISSN : 09734554 (Coauthor: Pearly P. John)  2013 
18.  Rough ideals and their properties, Int. Jl. of Global Research in Math. Archives, Vol. 1, June 2013, No. 6, 9097, ISSN : 09732721. (Coauthor: Neelima C.A.)  2013 
19.  Rough antihomomorphism on a rough group, Global Jl. Of Math. Sci.; Theory and Practical., 6(2):7987, 2014. (Coauthor: Neelima C.A.)  2014 
20.  Rough semiprime ideals and rough biideals in rings, Int. Jl. Math. Sci. and Appl., 4(1):2936, JanJune 2014. (Coauthor: Neelima C.A.)  2014 
21.  Antihomomorphisms on rough prime fuzzy Ideals and rough primary fuzzy Ideals., Ann. Fuzzy Math. Inform., 8(4):549559, October 2014. (Coauthor: Neelima C.A.)  2014 
22.  Antihomomorphisms on rough prime ideals and rough primary ideals., Advances in Theoretical and Applied Math., 9(1):19, 2014. (Coauthor: Neelima C.A.)  2014 
23.  Rough fuzzy biideals in rings, Bull. Kerala Math. Association, 11(1): 7988, June 2014. (Coauthor: Neelima C.A.)  2014 
24.  Rough antifuzzy ideals in rings and their properties, Int. Jl. Math. Appl., 3(1):1324, 2015. (Coauthor: Neelima C.A.)  2015 
25.  Intuitionistic fuzzy continuous functions on (R^{n},A), Int. Jl of Fuzzy Math. and Systems (IJFMS). Vol 5, Number 1, pp. 21–33, 2015. (Coauthor: Maya K.)  2015 
26.  Rough antifuzzy biideals and their properties in rings, to appear. (Coauthor: Neelima C.A.)  
27.  Rough antifuzzy prime and primary ideals in rings, to appear. (Coauthor: Neelima C.A.)  
28.  Rough antifuzzy semiprime and completely semiprime ideals in rings, to appear. (Coauthor: Neelima C.A.)  
29.  Rough antifuzzy subrings and their properties, J. Appl. Math. & Informatics Vol. 33(2015), No. 3 – 4, pp. 293 – 303 . (Coauthor: Neelima C.A.)  2015 
30.  Rough semiprime fuzzy ideals in rings, The Journal of Fuzzy Mathematics Vol. 23, No. 4, 2015, 845854, Los Angeles. (Coauthor: Neelima C.A .)  2015 
Sl.No  Name of the Book  Year of publication  Name of Publisher  ISBN No  Nature of Contribution 
1.  Proceedings of the National Conference on Recent Trends in Discrete and Fuzzy Mathematics  2005  Dept. Of Mathematics, BMC  Editor 
Details Talks Given:
Sl. No 
Title of the seminar/ conference etc. 
Invited / Contributed /Participation 
Venue/ Agency 
Dates  International/ National/ Regional 
Title of the Paper 
1  UGC sponsored UGCCSIR JRF cum NET coaching  Invited Resource Person  St. Albert’s College Ernakulam  AprMay 2009
AugOct, 2010 AprJun, 2011 
Regional  
2  Talk on “Linear Algebra” at the MSc. Enrichment Programme  Invited Resource Person  Department of Mathematics, St. Paul’s College, Kalamassery  20102009  Regional  
3  Rev. Dr.. A.O. Konnully Memorial talk on “Groups of Symmetries”  Invited Resource Person  Department of Mathematics of St. Albert’s College Ernakulam  05022010  Regional  
4  UGC sponsored National Seminar on “Discrete and Fuzzy Mathematics and Their Applications”  Invited Resource Person  P.G. Department of Mathematics, Mahatma Gandhi College, Iritty, Kannur  12082010  National  
5  Invited talk on “Groups of Symmetries”  Invited Resource Person  D.B. College, Thalayolaparambu, Kottayam686 605  06032012  Regional  
6  Invited talk on “Number Theory” in connection with the “MATHPEDITION2012” organized as part of the National Mathematical Year Celebrations  Invited Resource Person  Bhavan’s Adarsha Vidyalaya (Bharatiya Vidya Bhavan) Kakkanad, Kochi 682030  10102012  Regional  
7  Seminar on “Elementary Topics in Combinatorics”  Invited Resource Person  S.N.M.College, Maliankara , Ernakulam Dist, Pin683516  06032012  Regional  
8  UGC sponsored one day Seminar on “Differential Geometry”  Invited Resource Person  P.G. Department of Mathematics, D.B. college Thalayolaparambu  27092013  Regional  
9  DCE (Government of Kerala) sponsored two day National Workshop on “Differential Geometry”  Invited Resource Person  P.G. Department of Mathematics, Panampilly Memorial Govt. College Chalakkudy  22102013  National  
10  UGC sponsored two day National Seminar on “Geometric Analysis”  Invited Resource Person  P.G. Department of Mathematics, N.S.S. College, Nemmara, Palakkad  03122014  National  
11  UGC sponsored two days National Seminar on “Developments of Decision Making in Fuzzy Environment”  Invited Resource Person  Department of Mathematics, St. Stephens College, Uzhavoor  05122014  National  
12  Threeday UGC sponsored National Seminar on Abstract Algebra and its Applications  Invited Resource Person  Dept. of Mathematics, MES College, Nedumkandam, Kerala  13012015  National  
13  National Seminar on Emerging Trends in Fuzzy Mathematics and its Applications  Invited Resource Person  Konku Arts and Science College, Erode, Tamil Nadu  30012015  National  
14  National Seminar on Recent Trends in Analysis, Topology and its Applications (Sponsors : DST,KSCSTE)  Invited Resource Person  Department of Mathematics, S.D. College, Alappuzha  20032015  National  
15  Two day Workshop on Curriculum Restructuring (Sponsors : Higher Education Dept, Govt. Of Kerala)  Invited Resource Person  Department of Mathematics, Maharajas College, Ernakulam  26102015  Regional  
16  One day Workshop on Curriculum Restructuring. (Sponsors : Higher Education Dept, Govt. Of Kerala)  Invited Resource Person  Department of Mathematics, Maharajas College, Ernakulam  07122015  Regional 
Details of Workshops/ Conferences/ Seminars/ Symposia Attended/ Papers Presented
Sl. No 
Title of the seminar/ conference etc. 
Invited / Contributed /Participation 
Venue/ Agency 
Dates  International/ National/ Regional 
Title of the Paper 
1  Instructional Conference on Elliptic Curves, Tata Institute of Fundamental Research, Bombay, 30th September to 18th October 1991. (Sponsors : TIFR, NBHM)  
2  Weekend programme in Formal Languages and Automata, St. Teresa’s College, Ernakulam, AprilMay, 2000 (Sponsor : KMA)  
3  International conference on Recent Trends in Mathematical Analysis, St Joseph’s College Irinjalakuda, Dec. 1618, 2000. (Sponsors : NBHM, DST, KMA)  
4  International Workshop on Linear algebra, Numerical Functional Analysis and Wavelet Analysis, Department of Mathematics, Cochin University of Science and Technology, Kochi22; August 0615, 2001. (Sponsors : IMU, NBHM, CSIR)  
5  National Conference on Mathematical Modelling and Annual Conference of Kerala Mathematical Association, Baselius College, Kottayam, March 1416, 2002. (presented a paper). (Sponsors : MG University Kottayam, KMA)  
6  Weekend Workshop on Differential Geometry and Coding Theory, St. Teresa’s College, Ernakulam, AprilJune, 2002 (Sponsor : KMA)  
7  Mathematics Enrichment Programme, Department of Mathematics, CUSAT, Kochi22; 27072002. (Sponsor : OSADMS CUSAT)  
8  Regional Seminar on Number Theory, Department of Mathematics, Maharajas College, Ernakulam, 14122002. (Sponsor : KMA)  
9  International Conference on the History and Heritage of Mathematical Sciences,2002, Sukrtindra Oriental Research Institute, Kochi32, December 1922, 2002. (Sponsors : ICHR, ISHM, KMA)  
10  National Seminar on Graph Theory and Fuzzy Maths. Catholicate College Pathanamthitta, August 2830, 2003. (presented a paper). (Sponsors : MG University Kottayam, KMA)  
11  National Seminar on Discrete Mathematics and Applications and Annual Conference of Kerala Mathematical Association, St. Thomas College, Kozhencherry, January 0911, 2003. (Sponsors : MG University Kottayam, NBHM, KMA)  
12  Regional Seminar on Foundation of Maths & Automata Theory, UC College, Aluva, 18.10.2003. (Sponsors : KMA)  
13  National Seminar on Fuzzy Maths and Applications, Payyanur College, Payyanur, Kerala, January 0810, 2004 (presented a paper). (Sponsors : CSIR, Kannur University, KMA)  
14  National Seminar on Topology, Category Theory and Their Applications to Computer Science, St. Joseph’s College, Irinjalakuda. March 11 – 13, 2004. (Sponsors : UGC, KMA)  
15  National Workshop on Recent Advances in Maths. Dept of Maths, CUSAT, January 2225, 2004. (Sponsor : NBHM)  
16  National seminar on Algebra, Number Theory and Applications to Coding and Cryptanalysis, Little Flower College, Guruvayoor, September 16 18, 2004. (Sponsors : NBHM, KMA)  
17  Instructional Workshop on Bioinformatics, Stochastic Calculus and Finance & Control of Network Queues & International Conference on Harmonic Analysis and Quantum Groups, Dept. of Maths, CUSAT, January 0308, 2005. (Sponsors : UGC, NBHM (DAE), CSIR, CDE (IMU), ISI, NSF (USA), KMA)  
18  National Seminar on Discrete Maths and Math. Analysis, KKTM GOVT. College, Pullut, January 0405, 2005. (Sponsors : UGC, DCE Govt. Kerala, KMA)  
19  National Seminar on Recent Trends in Cryptography with Coding Theory, UC College, Aluva, February 24 26, 2005. (Sponsors : UGC, KMA)  
20  Annual Conference of Kerala Mathematical Association and the National Seminar on Applications of Mathematics in Engineering. & Technology, Rajagiri School of Engg. & Tech., Kakkanad, March 1113, 2005. (Sponsor : KMA)  
21  National Seminar on New Vistas in Topology, KKTM GOVT. College, Pullut, December 1920, 2005. (Sponsors : UGC, DCE Govt. Kerala, KMA)  
22  One Day Seminar on Geometry and Topology in Analysis & Mathematics in Traditional Architecture of Kerala, St. Teresa’s College, Ernakulam 27.08.2005. (Sponsor : KMA)  
23  Math. Modelling and Analysis of Engg. Problems, Model Engg. College, Thrikkakara, January 1213, 2006. (Sponsors : TEQIP, KMA)  
24  One Day Seminar on Topology for Computer science and A first look at Topological Dynamics, St. Paul’s College, Kalamassery, Ernakulam, 16.09.06. (Sponsor : KMA)  
25  One Day Seminar on Sulba Sutra Geometry and Carpentry Classics of Kerala and Formal Languages & Automata, St. Teresa’s College, Ernakulam, 04.08.07. (Sponsor : KMA)  
26  One Day Seminar on Graph Theory & Functional Analysis, St. Paul’s College, Kalamassery, Ernakulam, 08092007. (Sponsor : KMA)  
27  National Conference on Recent Developments and Applications of Probability Theory, Random Process and Random Variables in Computer Science, Mar Athanasios College for Advanced Studies (MACFAST), Tiruvalla 689 101,Kerala, 27.08.2008 – 29.08.2008. (Sponsors : AICTE, KMA)  
28  International Seminar in Topology and Annual Conference of Kerala Mathematical Association, St. Joseph’s College, Irinjalakuda. March 921, 2009. (Sponsors : IMU(Italy), NBHM (DAE))  
29  Regional oneday Seminar on Law of Large Deviation & Machine Learning, U.C. College, Aluva, 20062009. (Sponsor : KMA)  
30  Threeday National Conference on Recent Trends in Fuzzy and Discrete Mathematics, U.C. College, Aluva, November 1921, 2009. (Sponsors : UGC, KMA).  
31  Oneday State Level Seminar on Matrix Analytic Methods and Fuzzy Decision Theory, St. Peters College, Kolenchery, Kerala682311, 25022010. (Sponsor : KMA)  
32  Prof. T. Thrivikraman Endowment Lecture held at Department of Mathematics, Cochin University of Science and Technology, Kochi22, 11102010. (Sponsors : KMA, OSADMS CUSAT)  
33  Threeday International Seminar on New Trends in Applications of Mathematics, Bharata Mata College, Thrikkakara, Kochi21, Kerala; January 31, February 0102, 2011. (Sponsors : Central Statistical Office Govt. of India, KMA).  
34  International Seminar on Stochastic Finance, Markov Chains and Fuzzy Medical Diagnosis (ISSAF), Dept. of Mathematics, St. Peter’s College, Kolenchery, Kerala682311, 10022011. (Sponsors : KMA, Mahatma Gandhi University, Kottayam)  
35  One Day Regional Seminar on “Python – Mathematical Software” and “On Euler’s Formula”, St. Teresa’s College, Ernakulam, 26.02.2011. (Sponsor : KMA)  
36  One Day Regional Seminar on Some Issues in Data Communication and Rough Sets & its Application, St. Teresa’s College, Ernakulam, 25.06.2011. (Sponsor : KMA)  
37  Twoday National Seminar on Discrete Mathematics & Applications, Department of Mathematics, M.E.S. Asmabi College, P. Vemballur P.O., Kodungallur, Kerala680671; September 1920, 2011. (Sponsors : UGC, KMA)  
38  Twoday National Seminar on AlgebraScope & Applications, Department of Mathematics, St. Paul’s College, Kalamassery, Ernakulam683503; October 1314, 2011. (Sponsors : UGC).  
39  Sixth Prof. T. Thrivikraman Endowment Lecture on “Load Balancing for Markov Chains” held at Department of Mathematics, Cochin University of Science and Technology, Kochi22, 14012012. (Sponsors : KMA, OSADMS CUSAT).  
40  Threeday National Seminar on New Perspectives in Mathematical Theory of Computer Science, Sacred Heart College, Thevara, Kochi, Kerala; December 1315, 2012. (Sponsors : KSCSTE, DRDO & DST, KMA)  
41  National Conference on Applications of Discrete and Fuzzy Mathematics and Annual Conference of Kerala Mathematical Association, Federal Institute of Science and Technology, Angamaly683577, Kerala, 15.07.2013 – 17.07.2013. (Sponsors : KSCSTE, CSIR & DST, KMA).  
42  UGC sponsored one day Seminar on “Differential Geometry” organized by the P.G. Department of Mathematics, D.B. college Thalayolaparambu on 27th Sept. 2013  
43  Threeday Enrichment Programme in Number Theory and Cryptography, organized by Dept. of Mathematics, Bharata Mata College, Thrikkakara, Kochi21, Kerala during 27th, 28th September and 05th October 2013. (Sponsors : BMC)  
44  Fourday International Conference on Fractals and Wavelets, Rajagiri School of Engineering and Technology, Kakkanadu, Kochi, Kerala; November 1316, 2013. (Sponsors : IMU, ICIAM, ICTP, NBHM, INSA, KSCSTE, DRDO & DST, KMA)  
45  79th Annual Conference of Indian Mathematical Society held at Rajagiri School of Engineering and Technology, Kakkanadu, Kochi, Kerala; December 2831, 2013. (Sponsors : IMS).  
46  Threeday National Seminar on Fuzzy Logic and its Applications to Computer Science and the Annual Conference of Kerala Mathematical Association, Baselios Poulose II Catholicos College, Mulakulam North P.O., Piravom, Kerala686 664; February 2022, 2014. (Sponsors : UGC & KMA).  
47  Threeday UGC sponsored National Conference on Recent Trends in Applicable Mathematics, organized by the Department of Mathematics, Bharata Mata College, Thrikkakara, Kochi21 during September 1820, 2014. (Sponsors : UGC)  
48  Twoday UGC sponsored National Seminar on Topology and Analysis, organized by the Department of Mathematics, St. Paul’s College, Kalamassery, Ernakulam683503; during 9th and 10th October 2014. (Sponsors : UGC)  
49  UGC sponsored two day National Seminar on “Geometric Analysis” organized by the P.G. Department of Mathematics, N.S.S. College, (on 3rd Dec 2014) during 2nd & 3rd December 2014. (Sponsors : UGC & KMA)  
50  UGC sponsored two days National Seminar on “Developments of Decision Making in Fuzzy Environment” organized by the Department of Mathematics, St. Stephens College, Uzhavoor during 4th and 5th December 2014. (Sponsors : UGC, Mahatma Gandhi University & KMA).  
51  Oneday International Seminar on Queues and Graphs, Dept. of Mathematics, St. Peter’s College, Kolenchery, Kerala682311, 07012015. (Sponsors : KMA, Mahatma Gandhi University, Kottayam)  
52  Threeday UGC sponsored National Seminar on Abstract Algebra and its Applications, Dept. of Mathematics, MES College, Nedumkandam, Kerala, January 1214, 2015. (Sponsors : UGC & KMA)  
53  National Seminar on Emerging Trends in Fuzzy Mathematics and its Applications, Konku Arts and Science College, Erode, Tamil Nadu on 30012015  
54  International Seminar on Analysis & Applications and Dr. T. Thrivikraman Endowment Lecture at St. Teresa’s College, Ernakulam on 09022015. (Sponsor : KMA) 
International /National/ State – Level Workshops /Conference Organized:
Sl.No  Title of the seminar/ conference etc.  Funding Agency  Venue/Agency  Dates  International/ National/ Regional 
1.  National Conference on Recent Trends in Discrete and Fuzzy Mathematics
(in association with KMA) 
DST, NBHM (DAE) and CSIR  Bharata Mata College, Thrikkakara  November 1012, 2005  National
(with 10 invited Talks, 30 Paper presentations & more than 100 delegates from all over India) 
2.  National Seminar on Mathematics for Computer Science
(in association with KMA) 
NBHM (DAE) and CSIR  Bharata Mata College, Thrikkakara  January 0709, 2010  National
(with 10 invited Talks, 07 Paper presentations & nearly 100 delegates from all over India) 
Positions held or holding if any:
Sl.No  Position  Year 
1.  University nominee/subject expert of MG University for the recruitment of Asst. Professors in Mathematics in various colleges  
2. 
Member of Board of Examiners of MG University for UG Courses in Mathematics 

3.  Member/Chairman of Board of Studies of the following Autonomous Colleges for UG/PG Courses in Mathematics.
(a) Mar Athanasious College, Ernakulam (Chairman) (b) Maharajas College Ernakulam (MG University Nominee) (c) S.H. College Thevara, Ernakulam (MG University Nominee) (d) St. Teresas College, Ernakulam (MG University Nominee) (e) St. Alberts College, Ernakulam (MG University Nominee) 

4.  Chairman/Member of Board of Examiners/Question Paper Setters in Mathematics for UG/PG Courses, University of Calicut.  
5.  Member of Board of Examiners/Question Paper Setters in Mathematics for PG Courses, Cochin University of Science and Technology, Kochi22  
6.  Member of Board of Examiners of following Autonomous Colleges for UG/PG Courses in Mathematics.
(a) Mar Ivanios College Trivandrum (b) S.B. College, Changanasserry (c) St. Joseph’s College, Devagiri, Kozhikkode (d) St. Teresas College, Ernakulam (e) St. Alberts College, Ernakulam 

7.  General Secretary of Kerala Mathematical Association since 10022015.  
8.  President of OSADMS (Old Students Association, Dept. of Mathematics) CUSAT for one term  
9.  Life member of Indian Mathematical Society  
10.  Life member of Kerala Mathematical Association  
11.  Life member of OSADMS, CUSAT  
12.  Bharata Mata College Admission committee member for the period 20052015.(11 yrs)  
13.  Elected member of College Staff Council for the year 20112012 and 201617  
14.  Coordinator of IGNOU Special Study Centre, Bharata Mata College, Thrikkakara during 201214  
15.  Organizing Committee member of the Annual Conference of Indian Mathematical Society at RASET, Ernakulam  
16.  Elected member of College Staff Council for the year 20112012 and 201617  
17.  BMC Staff secretary for the period 2016  
18.  Coordinator of IGNOU Special Study Centre, Bharata Mata College, Thrikkakara during 201214  
19.  Senior Asst. superintendent of MG University Examinations of the BMC centre since May 2016 
Sl.No  Title of the Project  Funding Agency  Amount  Period  Coinvestigators 
1. 
Fuzziness in Module Theory and Related Area
(Mathematics) 
UGC  Rs. 60,000  01.07.2004 to 30.06.2006
Two Years 
Nil 
2.  On Fuzzy Analogues of Projective & Injective Modules
(Mathematics) 
UGC  Rs. 40,000  01.06.2008 to 31.05.2010
Two Years 
Nil 
3.  Applications of Fuzzy sets and Rough Sets in Algebra
(Mathematics) 
UGC  Rs. 1,90,000  01032012 to
28022014 Two Years 
Nil 
Courses attended for Professional Developments:
Sl.No  Name of the Course  Organizing institute  Period  
1  UGC sponsored Orientation Course in Mathematics  Academic Staff College, University of Calicut  08091998 to
05101998 

2  UGC sponsored Refresher Course in Mathematics  M.G University, Kottayam  16082000 to
09092000 

3  UGC sponsored Refresher Course in Mathematics  Academic Staff College, University of Kerala  20092002 to
11102002 

4  UGC sponsored Refresher Course in Computer Science  M. G University  12022004 to
08032004 
Bharata Mata College is committed to the highest standards of educational and other provision for its students, and encourages students to provide the Institute with thoughtful and constructive feedback.