Mathematics – JCE | Jain College of Engineering

Welcome to the Department of Mathematics

Department of Mathematics Jain college of Engineering Belagavi came into existence since the inception of the college in 2010. Department offer courses at Under graduate (U.G) and Post graduate (P.G) levels. Both UG and PG are under Choice Based Credit System (CBCS). Research center has been granted to our department by Visvesvaraya Technological University Belagavi in the years 2018. Right from the inception the department has striven to set high standards of teaching.Faculties are committed to qualityteachingthrough continuous learnig and research by fostering an intellectual culture that bridges Mathematics with engineering applications.

Courses Offered

Sl. No	Course	Level
1	Recognized as Research Center under VTU	Ph.D

Vision & Mission

Vision

To instill Mathematical knowledge with sound basics for the development of intellectual competent engineers.

Mission

Inculcating the Mathematical knowledge to develop their analytical and logical thinking.
To provide an environment where students can learn, become competent users of Mathematics and understand use of Mathematics in other disciplines.
To promote an environment that fosters creativity, critical thinking, enquiry, and active learning of Mathematics.

Academics

Time Table

Syllabus

Question Papers

Notifications

Faculty

Department of Mathematics

Research

Research Center

Papers Published

Conferences / Workshops Conducted

Conferences / Workshops Attended

Books Published

Research Center

Sl. No	Name of the Research Supervisor	Department / Research Centre	No. of Candidates Registered for Ph.D
1	Dr. Prashant V Patil	Mathematics	3
2	Dr. Raju Kotambari	Mathematics	2

Papers Published

Sl. No.	Name of the Author (s)	Title of Paper	Publication citation (Journal name,Year, Volume , Issue )	National or International Journal	Publication Year
1	Shafiqahmed Yellur, Dr. Prashant V Patil	Computing Sombor Index Of Certain Nanostructures And Its Applications	Gradivareview Journal, 2024, Volume-10, Issue-1	National Journal	2024
2	Dr. Raju Kotambari	Minimum Covering Energy Of Somethorny Graphs	AsianJournal of Mathematics and Applications, Volume 2014,Article ID ama0171,7 pages.	International	2014
3	Dr. Raju Kotambari	Degree Sum Energy Of Some Graphs	Annals of Pure and Applied Mathematics, 11(1), (2016), 17_27.	National	2016
4	Dr. Raju Kotambari	On The Adjacency ,Laplacian, And Signlesslaplacian Spectrum Of Coalescence Of Complete Graphs	Hindawi Publishing Corporation Journal of Mathematics , (2016) Article ID 5906801, 11 pages.	International	2016
5	Dr. Raju Kotambari	Minimum Covering Maximum Degree Energy Of A Graph,	International Journal of Advanced Science & Engineering. Volume 7.No.2 1761-1769(2020).	National	2020
6	Dr. Raju Kotambari	Minimum Covering Energy Of Some Derived And Coalescence Of Complete Graphs	Journal of Huazhong University of Science and Technology, ISSN-1671-4512. Volume 50. Issue 2.	International	2021
7	Dr. Raju Kotambari	On Randic Energy Of Some Graphs	Communicated
8	Manjula Kalyanshetti	On Square Degree Distance Of Mycielskian Graphs	International Journal of Scientific and Technical Research in Engineering ,Volume 4 Issue 1	International	2019
9	Manjula Kalyanshetti	Qspr Analysis Of Certain Distance Based Topological Indices	Applied Mathematics and Nonlinear Sciences 4(2) (2019) 371-386	International	2019
10	Manjula Kalyanshetti	On Neighbourhood Degree Distance And Neighbourhood Gutman Index Of Molecular Graphs	Journal of Shanghai Jiaotong University, Volume 16,Issue 7	International	July 2020
11	Manjula Kalyanshetti	Distance-Based Topological Acharya Polynomial And Indices Of Hamiltonian Graphs	Journal of Shanghai Jiaotong University, Volume 17,Issue 2	International	Feb 2021
12	Manjula Kalyanshetti	New Eccentricity Based Topological Indices Of Total Transformation Graphs	arXiv,DOI:10.13140/RG.2.2.13517.26083	International	August 2020
13	Manjula Kalyanshetti	The Average Degree-Distance Index Of Graph Operations	Journal of Computational Mathematic, volume 6.N01(2022), http://doi.org/10.26524/cm120	National	2022
14	Manjula Kalyanshetti	Degree Distance Based Topological Indices Of Some Graphtransforms”	Journal of Discrete Mathematical Sciences & Cryptography, Volume 25, 2022 – Issue 1	International	Apr 2022
15	Prashant Patil	Computing Topological Indices Of Certain Windmill Graphs	Journal of Computational Mathematica Vol: 6(1), 2022: ISSN 2456-8686	National Journal	2022
16	Prashant Patil	Second Zagreb Indices Of Transformation Graphs And Total Transformation Graphs	Open Journal of Discrete Applied Mathematics (ODAM) , Vol 3(1), (2020), pp.1-7 2617-9687 Online, 2617-9679 Print	International	2020
17	Prashant Patil	Computing Certain Topological Indices For Line Graphs Of Tadpole Graphs, Wheel Graph And Ladder Graph	International Journal of Mathematical Archive, Vol 10(12), 2019, pp. 1-11 ISSN 2229 – 5046	International	2019
18	Prashant Patil	A Note On The Minimum Dominating Energy Of A Graph	Palestine Journal of Mathematics, Vol. 7(2)(2018) , 663-666, ISSN 2219-5688	International	2018
19	Prashant Patil	First Zagreb Coindex Of Hamiltonian Graphs	Journal of Information and Optimization Sciences, Vol. 38 (2017), No. 3 & 4, pp. 417-422.ISSN: 0252-2667 (Print) 2169-0103 (Online),	International	2017
20	Prashant Patil	Bounds For The Minimum Overing Energy Of A Graph	Jamal Academic Research Journal: An Interdisciplinary, Special Issue(February 2016), pp: 93-96 ISSN 0973 – 0303,	International	2016
21	Prashant Patil	On The Transformation Graph G+−−	Asian Journal of Mathematics and Computer Research, 14(2): 83-89, 2016. ISSN: 2395-4205 (P), ISSN: 2395-4213 (O),	International	2016
22	Prashant Patil	Edge Decomposition Of The Transformation Graph Gxyz When Xyz=++-	Journal of Computer and Mathematical Sciences, Vol.1, No. 5, Aug-2010, pp 606-617.	International	2010
23	Prashant Patil	A Criterion For (Non-) Planarity Of The Transformation Graph Gxyz When Xyz=-++”	Journal of Discrete Mathematical Sciences & Cryptograph, Vol.13, No.6, Dec-2010, pp 601-610.	International	2010
24	Prashant Patil	Edge Partition Of The Transformation Graph Gxyz When Xyz=+ – -“	Reflections Des ERA-JMS, ISSN 0973-4597, Vol.7.No.2, 2012, pp145-162.	International	2012
25	Prashant Patil	Cototal Domination In Semitotal-Point Graph	International Journal of Advances in Science and Technology, ISSN 2229-5216 (U.K), Vol. 4, No. 4, 2012, pp 109-114.	International	2012
26	Prashant Patil	Domination In Degree Splitting Graphs	1. Journal of Analysis and Computation ISSN: 0973-2861 (India), Vol. 8, No.1, 2012, pp 1-8.	International	2012
27	Prashant Patil	Quantitative Structure Property Relationship Of Octane IsomersWith RS1-Index	Journal For Basic Sciences, Volume 23, Issue 2, 2023,114-130, ISSN NO : 1006-8341	International	2023

Conferences / Workshops Conducted

Conferences / Workshops Attended

Sl. No.	Name of the Teacher	Name of the Conference etc.	Place	Date	Invited/Deputed	No. of papers presented
1	Umesh S Mujumdar	One day workshop “Contemporary Trends in Research and Publications”	Gogte commerce college organised by RCU Belagavi	June 28,2024	Attended
2	Umesh S Mujumdar	Three days conference “International Conference on Mathemaytical Analysis and Its Application”	Karnataka University, Dharwad	August 02-04,2024	Attended	1
3	Dr.Manjula Kalyanshetti	Three Day Faculty Development Programme On “Mathematics LAB USING PYTHON”.	Gogte Institute of Technology Belagavi,	5th -7th july2023	Attended
4	Dr.Manjula Kalyanshetti	Five Day International Faculty Development Program on “Applications of Mathematics in Various Fields With Innovative Approaches”. through virtual mode	Baptala Engineering College,Bapatala	21st -25th Nov 2023	Attended
5	Dr.Manjula Kalyanshetti	Faculty Development Program Focused on Improving the Python Skills of the Faculty	Konigtronics(OPC)Pvt.Ltd	16th-20th nov 2023	Attended
6	Shafiqahmed Yellur	One week Faculty Development Programme on “Research Methodology and Effective Teaching Skills”	Jain College of Engineering and Research, Udyambag, Belagavi in association with Visvesvarya Technological University Belagavi.	15th to 20th May 2023.	Deputed
7	Shafiqahmed Yellur	8 week Faculty Development Programme on Graph Theory	NPTEL	March 24th Feb to 27th 2022	Deputed
8	Shafiqahmed Yellur	One Week AICTE – VTU Joint Teachers Training Programme on “An Overview of Teaching Techniques in Scientific Foundations of Health”	VTU Human Resource Development Centre (VTU – HRDC), Centre for PG Studies, VIAT, Muddenahalli, Chikkaballapur (Dist.) – 562101.	December 20 – 24, 2021	Deputed
9	Shafiqahmed Yellur	5-day online FDP on the theme “Inculcating Universal Human Values inTechnical Education”	All India Council for Technical Education(AICTE)	November 29th to 3rd December, 2021.	Deputed
10	Shafiqahmed Yellur	Faculty Development Program Series 1 on”Mathematics in Artificial Intelligence, Machine Learning and Deep Learning for Faculty & Practitioners”	Department of Computer Science and Engineering	September 1 to 5 ,2021	Deputed
11	Dr.Manjula Kalyanshetti	Webinar on “SECOND INTERNATIONAL CONFERENCE ON ADVANCES IN PHYSICAL SCIENCES AND MATERIALS”.	Coimbatore,Tamil Nadu	12-13,August 2021.	Attended
12	Dr.Manjula Kalyanshetti	One day National webinar on “RECENT ADVANCES IN MATHEMATICS”.	Sharanbasveshwar College of Science Kalburagi	20th & 21th May 2021	Attended
13	Shafiqahmed Yellur	Four-Day online National Conference on Pure and Applied Mathematics	Department of Mathematics, KLS Gogte Institute of Technology, Belagavi	August 11-14, 2020.	Deputed
14	Shafiqahmed Yellur	10 days Maths India Week Day FDP	the Dept. Of Mathematics Rathinam College of Arts and Science Coimbatore-21.	December14 to 22 ,2020	Deputed
15	Shafiqahmed Yellur	Mathematical perspectives on computational science and engineering	Department of Mathematics, Ramaiah Institute of Technology, Bangalore-54	July 6th to 10th 2020	Deputed
16	Shafiqahmed Yellur	Online Teaching-Learning Processes using ICT Tools for Education 4.0	Department of Information Technology,SVPCET Nagpur, in association with Computer Society of India	June 8th to 13th , 2020	Deputed
17	Dr.Manjula Kalyanshetti	Two Day International Webinar on “Recent Research Topics in Graph Theory”.	MES Mampad College ,Kerala	20th & 21st,May 2020	Attended
18	Dr.Manjula Kalyanshetti	Webinar on “DIGITIZATION -THE WAY FORWARD”.	Jain College of Engineering,Belagavi	26th May	Attended
19	Dr.Manjula Kalyanshetti	Webinar on “GRAPHS IN LIFE”.	Don Bosco College of Arts and Science ,Kerala	29th May 2020	Attended
20	Dr.Manjula Kalyanshetti	Webinar on “MATHEMATICAL PERSPECTIVES ON COMPUTATIONAL SCIENCE AND ENGINEERING”.	Ramaiah Institute of Technology, Bangalore	6th to 10th July 2020.	Attended
21	Dr.Manjula Kalyanshetti	Two day National Webinar on “APPLICATIONS OF MATHEMATICS IN ENGINEERING AND PHYSICS”.	S.G SIDDHARTHA Degree College of Arts and Science, Vuyyuru	10th to 11th July 2020.	Attended
22	Dr.Manjula Kalyanshetti	National Webinar on “RECREATIONAL PROBLEMS IN GRAPH THEORY AND THEIR APPLICATIONS IN REAL WORLD”.	K.L.E. Society’s S. K.Arts College and H. S. Kotambri Science Institute, Hubballi	13th July 2020	Attended
23	Dr.Manjula Kalyanshetti	Webinar on “INTERNATIONAL CONFERENCE ON RECENT TRENDS IN GRAPH THEORY”.	Karnataka University, Dharwad	July 27-29, 2020	Attended
24	Dr.Manjula Kalyanshetti	Webinar on “FASCINATING WORLD OF MATHEMATICS AND ITS APPLICATIONS TO REAL WORLD PROBLEMS”.	IIITDM Kurnool	17th July 2020	Attended
25	Dr.Manjula Kalyanshetti	Webinar on “TWO DAYS INTERNATIONAL WEBINAR ON COMPLEX ANALYSIS AND ITS APPLICATIONS”.	K. L. E. Society’s G. I. Bagewadi College, Nipani	22nd and 23rd July 2020	Attended
26	Dr.Manjula Kalyanshetti	Webinar on “WASTE TO ENERGY GENERATION: MATERIALS AND TECHNIQUES”.	Pratap University, Jaipur	29-August-2020	Attended
27	Shafiqahmed Yellur	“Recent research Topics in Graph Theory”	PG & Research Department of Mathematics, MES Mampad College	May 20-21, 2020	Attended
28	Dr.Manjula Kalyanshetti	International conference on” MATHEMATICS MODELLING, APPLIED ANALYSIS AND COMPUTATION”.	JECRC University, Jaipur(Rajasthan)	8th to 10thAugust,2019.	Presented	1
29	Dr.Manjula Kalyanshetti	One Day National Conference on “RECENT TRENDS ON THE APPLICATIONS OF SCIENCE IN ENGINEERING”.	BIET, Davangere.	28th July .2018	Attended
30	Dr.Manjula Kalyanshetti	International Conference on “RECENT TRENDS IN MATHEMATICS”.	K.L.E. Society’s RLS Institute,Belagavi	27th to 29th Dec 2018.	Presented	1
31	Dr. Prashant Patil	One Week TEOIP-1.3 Sponsored Faculty Enrichment Program on “Engineering Mathematics-II	Visvesvaraya Technological University, Belagavi.	016th – 20th Jan 2018	Attended
32	Dr.Raju Kotambari	International Conference on Discrete Mathematics and Graph theory	SIT Tumkuru	June 9-11, 2016.	Deputed	1
33	Dr.Raju Kotambari	International Conference on Discrete Mathematicsand Computational Mathematics	The Gandhigram Rural Institute-Deemed University Gandhigram, Dindigul District Tamil Naadu	February16-18, 2017.	Deputed	1
34	Dr.Manjula Kalyanshetti	Two Day Workshop on” RESEARCH TRENDS IN IMAGE PROCESSING AND MACHINE LEARNING BASED ON MATHEMATICAL MODELLING”.	SDMCET,Dharwad	17th & 18th of Feb 2017	Attended
35	Dr.Manjula Kalyanshetti	.One week Workshop on “RESEARCH METHODOLOGY”	Angadi Institute of Technology and Management ,Belagavi	9th to 13th, Jan 2017.	Attended
36	Dr.Manjula Kalyanshetti	Two-Day Workshop on “GRAPH THEORY AND ITS APPLICATIONS FOR SCIENTISTS,ENGINEERS AND MATHEMATICIANS”.	Gogte Institute of Technology Belagavi,	June 21st &; 22 nd 2017.	Attended
37	Dr. Prashant Patil	One day work shop on Engg. Mathematics IV	Jain College of Engg, Belagavi	4th Feb 2017	Attended
38	Dr. Prashant Patil	Sampling Theory & Stochastic Process	Global Academy of Tech., Bengaluru	24th&25th March 2017	Attended
39	Dr. Prashant Patil	Graph theory and its applications for scientists, Engineers and Mathematicians.	KLS’ Gogte Institute of Tech., Belagavi	21st & 22nd June 2017	Attended
40	Dr.Raju Kotambari	Nationa Conference on Energy of Graphs	Maharani’s Science College For Women Mysuru	March, 11-12, 2016.	Deputed	1
41	Dr.Manjula Kalyanshetti	International Conference on” DISCRETE MATHEMATICS (ICDM-2016) AND GRAPH THEORY DAY-XII”.	SIT,Tumkur	6th to 11th,June 2016.	Attended
42	Dr.Manjula Kalyanshetti	National Conference on ” EXPLORING RESEARCH AVENUES AND IPR”.	SDMCET,Dharwad	13th ,Aug 2016.	Attended
43	Dr.Raju Kotambari	National conference on Recent trends in Graph theory and it’sApplications	Mangalore University, Manguluru.	February 5-6, 2015.	Deputed	1
44	Dr.Manjula Kalyanshetti	National Conference on “MATHEMATICS AND ITS APPLICATIONS”.	AIT,Chikmagalur	22nd &23rd, Dec 2015.	Attended
45	Dr.Raju Kotambari	National conference on Current Trends in Mathematics and Applications	Gogte Institute of Technology Belagavi,	January, 28-29, 2014.	Deputed	1
46	Dr.Manjula Kalyanshetti	National Seminar on “RECENT TRENDS IN MATHEMATICS AND ITS APPLICATION”.	Gogte Institute of Technology Belagavi,	28th & 29th, Jan 2014.	Attended
47	Dr.Manjula Kalyanshetti	Workshop for NET/SET aspirants.	G.S.Sc college Belagavi	20th & 21st , Nov 2014.	Attended
48	Dr. Prashant Patil	one day workshop on Basic science syllabus for B.E.	UBDT collage of Engg, Davangere	20th Aug 2014	Attended
49	Dr. Prashant Patil	National Seminar on Analysis and Application (NSAA-2013)	The Department of Mathematics, Karnatak University, Dharwad	22nd & 23rd March 2013.	presented
50	Dr. Prashant Patil	3rd international conference Discrete Mathematics	Karnatak University, Dharwad.	10th -14th June 2013	Attended
51	Dr. Prashant Patil	Advances in Graph Theory	Gogte Institute of Technology, Belgaum.	21st November, 2012	Attended
52	Dr. Prashant Patil	Analysis and Application (NSAA-2013)	The Department of Mathematics, Karnatak University, Dharwad	15th to 17th March 2011.	Attended
53	Dr. Prashant Patil	National symposium RAAM-10	Gulbarga University, Gulbarga.	8th -9th Feb 2010	presented
54	Dr. Prashant Patil	National conference Emerging Trends in Fluid Mechanics and Graph Theory	Christ University, Banglore.	25th &26th Feb 2010	presented
55	Dr. Prashant Patil	Sixth annual instructional conference of ADMA & Graph theory Day VI	Dept. of Mathematics, College of Engineering, Pune.	8th -10th June 2010	presented
56	Dr. Prashant Patil	Mathematical Modelling	Karnatak College, Dharwad	10th April 2010.	Attended
57	Dr. Prashant Patil	Training of trainers on Entrepreneurial Motivation	Deshpande Foundation, Hubli and organized by SDMCET Dharwad	8th October 2010	Attended
58	Dr. Prashant Patil	Platinum jubilee Seventy-fifth annual conference of IMS	Kalasalingam University, Krishnankoil, T.N.	27th -30th Dec 2009	presented
59	Dr. Prashant Patil	Innovative product Development & Design Methods	SDM college of Engg. And Tech. Dharwad.	2nd to 6th Feb, 2009	Attended
60	Dr. Prashant Patil	Fifth annual instructional conference of ADMA & Graph theory Day V	Periyar University, Salem, T. N.	8th -10th June 2009	Attended
61	Dr. Prashant Patil	International colloquium on Nanotechnology gateway to a Promising Future	organized by SDM college of Engg. And Tech. Dharwad,	8th and 9th July 2008	Attended
62	Dr. Prashant Patil	Interpersonal skills, Assertiveness, Positive Attitude, Personal & Professional Ethics	collaboration with ISQT process and consulting Services, Bangalore.	28th and 29th March, 2008 .	Attended

Books Published

Recognitions & Achievements

Faculty Achievements

#Event Recent Events

May 21

Digital Poster Presentation Competition on World Environmental Day

May 21

National Science Day

May 21

Celebration of National Mathematics Day

The #Notable Alumnus of JCE

The teachers are highly qualified, knowledgeable, and friendly. The course curriculum is relevant and offers site visits.

Education at JCE is highly industry-oriented and provides a wide gamut of knowledge. The years spent here were full of learning opportunities with the right blend of fun and academics.

JCE has competent and capable teachers who are proactively involved in providing the very best to their students. Thanks to the entire staff for their guidance, boost, motivation, and support.

Welcome to the Department of Mathematics

Courses Offered

Vision & Mission

Academics

Faculty

Dr. Prashant Patil

Dr. Manjula V. Kalyanshetti

Prof. ShafiqAhmed M. Yellur

Prof. Umesh S Mujumdar

Prof. Pooja M Jarali

Prof. Vishwanath A Modagi

Prof. Ravishankar L Hutagi

Research

Recognitions & Achievements

#Event Recent Events

May 21

May 21

May 21

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The #Notable Alumnus of JCE

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