Profile of the Department

DEPARTMENT OF MATHEMATICS
BHAWANIPUR ANCHALIK COLLEGE

About the Department:
Today, mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. All the branches of mathematics concerned with the application of mathematical knowledge to other fields, inspire and make use of new mathematical discoveries and sometimes lead to the development of entirely new disciplines. With the establishment of the Department of Mathematics in 2023, the Department is committed to making the students recognize the value of mathematics and its relationship with other subjects, along with to providing a stimulating learning environment, to foster the ability to solve and analyze problems and arrive at precise conclusions. The department’s continual effort is to improve the quality of students so that they take an interest in higher studies in the future.

Mission:

•   To be a leading Mathematics Department in the state as well as in the country.
•   To emerge as a global center of learning, academic excellence, and innovative research.

Vision:

• Imparting quality mathematics education and inculcating the spirit of research through innovative teaching and research methodologies.
• To provide an environment where students can learn, become competent users of mathematics, and understand the use of mathematics in other disciplines.
• To achieve high standards of excellence in generating and propagating knowledge in Mathematics. The department is committed to providing an education that combines rigorous academics with the joy of discovery.

Year of Establishment:  2023

Details of Programmes/ Courses (H.S, Under-Graduate): 
(Designed according as NEP 2020) 

Sl. No.	Programme Level	Name of the Programme/ Course	Duration (Years)	Entry qualification	Medium of Instruction	Sanctioned/ Approved Student Strength
1	Higher Secondary	HS (Science)	2 (Two)	10th Pass	Assamese, English	200
2	Under-Graduate	B.Sc. (Core)	4 (Four)	12th Pass	English	30
3	Under-Graduate	B.Sc. (Common)	4 (Four)	12th Pass	English	NA

Faculty Profile:

Sl. No	Name of faculty	Educational Qualification	Date of  Appointment	Designation	Specialization	Teaching Experience
1	Dr. Priyanka Pratim Baruah	B.Sc.: Gauhati University M.Sc.: Gauhati University Ph.D.: Gauhati University	1st June, 2023	Assistant Professor & HoD	Algebra, Graph Theory	12 Years
2	Abhijit Bora	B.Sc.: Dibrugarh University M.Sc.: Dibrugarh University M.Phil: Dibrugarh University	1st June, 2023	Assistant Professor	Cooperative Game Theory, Network Games	2 (Two) Months
3	Dr. Nabin Kr. Pokhrel	B.Sc.: Zakir Husain Delhi College, DU M.Sc.: Del. Univ. M.Phil: Dib. Univ. Ph.D.: Tez. Univ.	1st August, 2023	Assistant Professor	Game Theory, Coding Theory	3 Years

Research Domains:

•     Algebra
•     Graph Theory
•     Game Theory
•     Network Games
•     Coding Theory

Research Highlights:
Research articles published in SCIE, Scopus, ESCI & UGC Care indexed journals:

• A. Bora, M. Saikia, P.K. Bora (2022): Consolidation of an Efficient and a Non-Efficient Solution in a Cooperative Game: The Egalitarian Banzhaf Value. Indian Journal of Science and Technology 15(40). ISSN: Print: 0974-6846, Electronic: 0974-5645.
• M. Saikia, A. Bora, N. Kakoty (2022): An approach to social choices using multi-person decision making, Stochastic modeling and applications, Vol-26 (3) Part 4. ISSN: 0972-3641
• A. Bora, M. Saikia, A.K. Dutta (2022): Value sharing among producers and middlemen in a cooperative game, Stochastic modeling and applications, Vol- 26 (3) Part 6.  ISSN: 0972-3641
• N. Kakoty, M. Saikia, A. Bora (2022): A game-theoretic approach to the study of major crops cultivated in Assam, International Journal of Food and Nutritional Sciences, Vol-11 (3), ISSN: 2319-1775.5.
• P.P. Baruah & K. Patra(2022): On a Directed Graph of a Lattice, Mathematical Forum, Vol-30, ISSN: 0972-9852.
• P.P. Baruah & K. Patra(2022): On Generalized Zero-divisor Graphs of a Non-commutative Ring with respect to an Ideal, Asian European Journal of Mathematics, Vol-15 (6), ISSN (print): 1793-5571, ISSN (online): 1793-7183. 
• P.P. Baruah & K. Patra(2021): On a Generalized Zero-Divisor Graph of a Lattice with respect to an Ideal, Science and Technology Journal, Vol – 9(1), ISSN: 2321-3388
• P.P. Baruah & K. Patra(2018): On a Zero-divisor Based graph Structure of a Commutative Ring, Asian Journal  of Mathematics and Computer Research, Vol – 25 (3), ISSN(Print): 2395-4205 ISSN(Online): 2395-4213 
• P.P. Baruah & K. Patra,(2017):On a Generalized Zero-divisor Graph of a Commutative Ring with respect to an Ideal, Communications in Mathematics and Applications, Vol – 8 (3), ISSN(Print): 0976-5905, ISSN(Online): 0975-8607 
• P.P. Baruah(2017):On an Undirected Graph Structure of a Commutative Ring, International Journal of Mathematical  Archive, Vol – 8 (5), ISSN: 2229 –5046 
• P.P. Baruah & K. Patra(2014): Some Properties of Annihilator graph of a Commutative Ring, IOSR Journal of Mathematics, Vol-10 (5-IV), ISSN(Print): 2319 – 765X, ISSN(Online):2278 –5728 
• P.P. Baruah & K. Patra(2013): On the Adjacency Matrix and Neighborhood Associated with Zero-divisor Graph for Direct Product of Finite Commutative Rings, International Journal of Computer Applications Technology and Research, Vol – 2 (3), ISSN: 2319 – 8656
• N.K. Pokhrel & P.K. Das (2022): Low-density and high-density asymmetric CT-burst correcting integer codes, Advances in Mathematics of Communications, doi: 10.3934/amc.2022030.
• N.K. Pokhrel & P.K. Das (2022): Unidirectional solid burst correcting integer codes, Journal of Applied Mathematics and Computing, 68 (5), 3163-3178.
• N.K. Pokhrel, P.K. Das & A. Radonjic (2023): Integer codes capable of correcting burst asymmetric errors,  Journal of Applied Mathematics and Computing, 69 (1), 771-784.
• A. Radonjic, N.K. Pokhrel & P.K. Das (2023): Integer codes correcting burst errors within two bytes, Computational and Applied Mathematics, 42 (3), 128.
• N.K. Pokhrel & P.K. Das (2023): Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes, Kuwait Journal of Science, 50 (2), 75-82.
• P.K. Das & N.K. Pokhrel (2023): Asymmetric solid burst correcting integer codes, Kuwait Journal of Science, 100122.
• A. Radonjic, P.K. Das & N.K. Pokhrel (2024), Integer codes correcting single adjacent transposition errors, IEEE Communication Letters, doi: 10.1109/LCOMM.2024.3379493.
• P.K. Das & N.K. Pokhrel (2021): Asymmetric CT-burst correcting integer codes, 5th International Conference Information Systems and Computer Networks (ISCON), IEEE Xplore, doi: 10.1109/ISCON52037.2021.9702506.

Books & Chapters published in books with assigned ISBN/ ISSN:

• N. Kakoty, A. Bora, M. Saikia (2022): A study on egalitarian Shapley value based on coalition sizes, Research Trends in Mathematics and Statistics, ISBN: 978-93-5570-241-2. 
• A. Bora, M. Saikia, A.K. Dutta (2021): Generalization of -egalitarian Shapley value based on coalition sizes, Current Topics in Mathematics, ISBN: 978-93-91064-75-4. 
• P. P. Baruah & J. Goswami (2010): Lecture Note Series on Mathematics Olympiad No. 3 “Geometry and Trigonometry”, Assam Academy of Mathematics, ISBN:978-81-921884-1-6 
• P. P. Baruah(2017):Zero-divisor Graphs of Matrices over Non-commutative Rings, Department of Mathematics, Nalbari College, Matrix (Research Book), ISBN: 978-93-85229-38-1
• N.K. Pokhrel (2019): A survey on supermodular games, Advances in Mathematical Sciences, Empyreal Publishing House, ISBN: 978-81-942475-9-3.
• N.K. Pokhrel (2019): A survey on some examples and computations in supermodular games, Recent Trends in Mathematical Sciences, Lambert Academic Publishing, ISBN: 978-620-0-32416-0.

Presentations & Invited talks of the Faculty Member(s) in National/ International Conferences, Universities: 

• P. P. Baruah (2011): Zero-divisor Graphs of Matrices over Commutative Rings, National Conference on Frontiers in Mathematics, Department of Mathematics, Gauhati University, Guwahati, Assam.
• P. P. Baruah (2013): Zero-divisor Graphs of Matrices over Non-commutative Rings, 78th Annual Conference of the Indian Mathematical  Society, Department of Mathematics& DST- Centre for Interdisciplinary Mathematical Sciences, Faculty of  Science, Banaras Hindu University, Varanasi.
• P. P. Baruah (2013):A kind of Graph Structure on Commutative Rings, National Conferences on Mathematics Commemorating Birth Anniversary of Srinivasa Ramanujan, Department of Mathematics, Girijananda Chowdhury Institute of Management and Technology, Guwahati, Assam.
• P. P. Baruah(2015):An Ideal Based Graph of a Commutative Ring, International Conference on Frontiers in Mathematics, Department of Mathematics, Gauhati University, Guwahati, Assam.
• P. P. Baruah(2015):On Generalized Zero-divisor Graphs of a Non-commutative Ring with respect to an Ideal, National Seminar on “Advances in Mathematical Sciences”, Assam Academy of Mathematics & Department of Mathematics, Gauhati University, Guwahati, Assam.
• N.K. Pokhrel (2020): Integer codes correcting simultaneous bursts. At OHEPEE Sponsored International Conference on Advanced Mathematical Analysis and its Applications, Berhampur Uiversity, Odhisa, India.
• N.K. Pokhrel (2020): Integer codes correcting asymmetric bursts within a byte and connected between two adjoining bytes. At International Conference on Advances in Mathematics, Science and Technology, Rajiv Gandhi University, Arunachal Pradesh, India. 
• N.K. Pokhrel (2020): Integer codes correcting asymmetric bursts connected between two adjoing bytes. At National Conference on Application of Mathematical Tools in Social Sciences and Sciences, Zakir Husain Delhi College, University of Delhi, India.
• N.K. Pokhrel & P.K. Das (2023): Asymmetric solid burst correcting integer codes. At International Scientific Conference, Innovative STEM Education, Bulgarian Academy of Sciences, Sofia, Bulgaria. 
• N.K. Pokhrel (2024): Integer codes capable of correcting burst asymmetric errors. At International Conference on Advances in Pure and Applied Mathematics, Shyam Lal College, University of Delhi.
• N.K. Pokhrel (2024): Delivered an invited talk on "Pi Day," organised by the Department of Mathematics at Barnagar College, Barpeta, Assam.

Workshop/FDP/SDP attended by the Faculty Member(s)

• P. P. Baruah(2010): UGC-SAP Workshop on “Algebra, Algebraic Topology and Related Topics”, Department of Mathematics, North Eastern Hill University University, Shillong, Meghalaya.
• P. P. Baruah(2011): Technical Session of  North East Regional Conference of Mathematics – II, Assam Academy of Mathematics.
• P. P. Baruah(2012): SDP on “Operation  Research with Application to Computer Science”, Department of Computer Application, Girijananda Chowdhury Institute of Management and Technolgy, Guwahati, Assam.
• P. P. Baruah(2015): FDP on “Meeting Global Challenges in Higher Technical Education”, Girijananda Chowdhury Institute of Management and Technology, Guwahati, Assam.
• P. P. Baruah (2018): Workshop on “Outcome Based Education (OBE) for  NBA Accreditation” Assam Science and Technology University (Under TEQIP-III).
• N.K. Pokhrel (2017): Short term training program of 21 days on Refresher Course ''Cirruculum Design Approaches in Technical and Vocational Education and Training'' at National Institute of Technical Teachers' Training and Research, Kolkata, India.
• N.K. Pokhrel (2018): Attended International Workshop on ''Game Theory and Networks'' at Dibrugarh University, India.
• N.K. Pokhrel (2023): Faculty development program of 1 week on “National Education Policy, 2020” at Assam Don Bosco Universtiy, Sonapur, Assam.
• N.K. Pokhrel (2024): Pedagogical Training for Mathematics Teachers on "Complex Analysis" at RKMVCC, Rahara, Kolkata (Organised by MTTS Trust under the aegis of National Board for Higher Mathematics).

Academic Collaboration(s):

•     Gauhati University, Assam, India
•     Dibrugarh University, Assam, India
•     Tezpur University, Assam, India
•     Assam Academy of Mathematics, Assam, India
•     Institute of Distance and Open Learning (IDOL), Gauhati University, Assam, India
•     Queens University, Belfast, UK
•     Institute of Technical Sciences of the Serbian Academy of Sciences and Arts, Belgrade, Serbia