Mathematics Department

• Ph. D in Lattice Theory from Mangalore University 2003
• M.Phil in Lattice Theory from Mangalore University 1994
• M.Sc in Mathematics from Mangalore University 1986

• Lattice Theory and ordered structures
• Graph Theory
• Linear Algebra

For M.Tech

• Applied Mathematics
• Advanced Numerical Analysis
  

For MCA

• Discrete Mathematics
• Probability , Statistics and Queing Theory
• Numerical Analysis and Computer Algorithms

For UG

•  Linear Algebra
•  Discrete Mathematical Structures
• Graph Theory
• Probability & Statistics
• Numerical Analysis
• Vector Calculus
• Ordinary and Partial Differential Equations 
• Fourier , Laplace and Z- transforms
• Differential Calculus & Integral Calculus 
• Special Functions

International Journals

• Shashirekha B.Rai, Characterization of Semimodular Chi-Lattices, Asian European Journal of Mathematics, Vol.14 No.1 (2020).
• Prashantha Rao and Shashirekha B Rai, Translations and Derivations in C-trellises, Journal of Physics(Conf. Series) 1344 (2019) 012027
• Prashantha Rao and Shashirekha B Rai, Convex and Weakly Convex Subsets of a Pseudo ordered set, Int. J. Math. And Appl., 7(1)(2019), 149-154, ISSN: 2347-1557
• Shashirekha B. Rai , Prashantha Rao, Filters in Semitrellises, International Journal of Pure and Applied Mathematics 114, No. 4, 2017 , 709-717
• Shashirekha B. Rai ; S. Parameshwara Bhatta, Derivations and Translations on Trellises. Acta Universitatis Palackianae Olomucensis" Facultas Rerum Naturalium Mathematica 2015 ,Vol. 54, No1, pp.129-136.
• Shashirekha B. Rai , Prashantha Rao, On Nodes in Trellises International Journal of Pure and Applied Mathematics 105, 4 (2015) ,647-652
• Shashirekha B. Rai , Prashantha Rao, W- Convex subsets of a Pseudo-ordered set, Global Journal of Pure and Applied Mathematics 11, 6 (2015) 4825-4830
• Shashirekha B. Rai, On P-chains in pseudo-ordered sets, Proceedings of the International conference on Mathematical Modeling and Applied Soft Computing (2012), Vol.1 328-333.
• Shashirekha B. Rai, On distributive , standard and neutral elements in trellises. Acta Math. Univ. Comenianae, Vol.77 ( 2008), No.2, p.167-174
• Shashirekha B. Rai,and S. Parameshwara Bhatta, Enumeration of trellises, South East Asian Journal of Math. & Math. Sc. Vol.3 No. 2 (2005), pp.23-32
• Shashirekha B. Rai, On pseudo-ordered sets and trellises, Proceedings of the 6th International conference (2005), held at Islamabad , Pakistan.
• S.Parameshwara Bhatta and H. Shashirekha , Some characterization of completeness for trellises in terms of joins of cycles, Czechoslovak Mathematical Journal, 54(129) 2004, 267-272
• S.Parameshwara Bhatta and H. Shashirekha; A characterization of completeness for trellises, Algebra Universalis 44(2000) 305-308.

National Journals

• Shashirekha B. Rai, Path preserving mappings in psosets, Journal of  Mathematics Education Vol XLIV-2006
• Shashirekha B. Rai, On Prime ideals in trellises, Journal of Mathematics  Education Vol. 39, No. 4, 2005 , 245-249

Papers presented in International/National  Conferences/Semiars

• Modular,weakly distributive and normal trellises, 2nd International conference on Mathematical Modeling and Computational Methods in Science & Engineering(ICMMCMSE-2020) during January 22-24, 2020, held at Alagappa University, Karaikudi, Tamilnadu.
• On P-chains in pseudo-ordered sets, International conference on Mathematical Modeling and Applied Soft Computing (MMASC-2012), during 11th to 13th July, 2012, held at Coimbatore Institute of Technology, Coimbatore, Tamilnadu.
• On pseudo-ordered sets and trellises,  6th International conference 2005, during 20th to 22nd August ,2005  held at Islamabad , Pakistan.
• Distributive, standard and neutral elements in trellises, 14th International Conference of the Jangjeon Mathematical Society held at University of Mysore during December 22-24, 2003.
• Enumeration of Non isomorphic trellises with at most five points in the National Seminar on Algebra and Applications held at Andhra University, Visakhapatnam during August 30-September 1, 2002
• Characterization of completeness for trellises in terms of joins of cycles, 66th Annual Conference of Indian Mathematical Society held at Vivekanand Arts, Sardar Dalipsingh Commercxe & Science College, Aurangabad during December 22-25, 2000
• On some characterization of completeness for trellises and fixed point property in 65th Annual conference of Indian Mathematical Society held at A.P.S University, Rewa,Madhya Pradesh during December 20-23, 19

 Workshops Organized

• Convener of Two Day Workshop on "Analytical, Numerical and Statistical Techniques-Applications" during 28th and 29th of July 2017
• Convener of Two Day workshop on Transform Techniques and Mat Lab Applications, 16th & 17th of April 2015
• Convener of a Workshop on Technical documentation using LaTex -14th July 2014
• Convener of Two Day Workshop on Mathematical & Statistical Methods-Applications-(TEQIP Funded) during 5th & 6th of December 2013
• Convener of Three Day Faculty Development Program on Linear Algebra and its Applications from 3rd to 5th of March 2011.
• Convener of 2 day workshop on Engineering Applications of Mathematical Sciences during 8th & 9th of February 2007

• Ph. D. in Graph Theory from NITK, Surathkal in 2008 
• Computer Opertaor cum Programmer, Dept. of Technical Education, 1996
• B.Ed. in Mathematics from Calicut University, Cannanore, 1988 
• M.Sc. in Statistics from Govt. Victoria College, Palghat in 1984 
  

• Lecturer in NMAM Institute of Technology from 03-10-1997 to 31-12-2002 Senior Lecturer in NMAM Institute of Technology from 01-01-2003 to 29-02-2008 
• Assistant Professor in NMAM Institute of Technology from 01-03-2008 to 31-10-2012 
• Associate Professor in NMAM Institute of Technology from 01-11-2012 to 30-11-2013 
• Professor in NMAM Institute of Technology from 01-12-2013 to 10-07-2016 
• Professor & Head from 11-07-2016 to 02-07-2019

• Graph Theory
• Operations Research
• Statistics

• Rank Holder for both UG & PG
• Recipient of National Merit Scholarship by GOI for PG Course

• Board of Examiners-UG(BoE)
• Board of Examiners-PG(BoE)
• Board of Studies(BoS)
• Departmental Under Graduate Committee(DUGC)
• Departmental Post Graduate Committee(DPGC)
• Departmental Academic Appeals Board(DAAB)
• Departmental Assessment Board(DAB)
• CDCS coordinator

• Life Member of Indian Society for Technical Education
• Life Member of Indian Society of Systems For Science & Engineering(ISSE)

• Engineering Mathematics-I
• Engineering Mathematics-II
• Engineering Mathematics-III
• Engineering Mathematics-IV
• Biostatistics
• Operations Research
• Graph Theory
• Quantitative Methods in Construction

International Journals

1. Shankaran P, "On Triangular Sum Labelings of Graphs", Global Research and Development Journal for Engineering, Vol. 3, issue 7, ISSN 2455-5703, pp. 29-33, June 2018.
2. Shankaran P, "D-distance Magic Labeling on Some Class of Graphs", International Journal of Engg.&Technology, Vol. 7, 3.34, pp 865-866, Sept. 2018.
3. Shankaran P, "Further Results on Edge Sum Labelings of Graphs", Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, Vol. 14, No. 10,pp. 1333-1345,  Oct. 2018.
4. Shankaran P, "Further Results on Edge Sum Labelings of Trees", Journal of Advanced Research in Dynamical And Control Systems, Vol. 11-spl. Issue, 08, pp.2097-2100, Sept., 2019.
5. Shankaran P, "Characterization of Generalized complements of a graph", Advances in Mathematics: Scientific Journal 9, No. 9, 7093-7099, ISSN 1857-8365(printed), 1857-8438 (electronic), https://doi.org/10.37418/amsj.9.9.59, 2020.
6. S M Hegde and Shankaran P., " Edge Sum Labellings of Graphs", Journal of Comb. Information & System Sciences, New Delhi, Vol. 28-29, PP.163-172, 2003-2004.
7. S M Hegde and Shankaran P., "Geometric labeled graphs", AKCE International Journal of Graphs & Combinatorics, New Delhi, Vol.No. 1,pp.83-97, 2008.
8. S M Hegde, Sudhakar Shetty and P. Shankaran, "Further results on super edge magic-deficiency of graphs", Ars Combinatoria, Vol.XCIX, pp.487-502, April 2011.
9. S M Hegde and P. Shankaran, "On Weakly Indexable Graphs", Journal of combinatorics,Information & System Sciences, New Delhi , Vol.40, Nos.1-4,pp.173-209, 2015.
10. Shankaran P., "On Weak and Strong Indexers of Graphs", International Journal of Latest Engg. Research and Applications(IJLERA), Vol. 02, Issue 03, pp. 28-42, Mar. 2017.

International Conferences

1. S M Hegde and Shankaran P., "On vertex dependent characteristic of a graph", Proceedings of the international conference on Mathematics & computer science, 1-3,pp.3-7, 2007.
2. S M Hegde and Shankaran P., "On Weakly Indexable Graphs", 23rd International Conference Forum for Interdisciplinary Mathematics (FIM), NITK, Surathkal, Dec. 18-20, 2014.

National Conferences

1. S M Hegde and Shankaran P., "Triangular Sum Labellings of Graphs", Proceedings of the group discussion on labelings of discrete structures and applications, 19-28, pp.109-115, 2006.
2. Shankaran P. and Chaithra K., "D-Distance Magic Labeling on Trees", Proceedings of the National Conference on Emerging Trends in Sci. and Engg., pp. 27, Feb. 23, 24, 2017.

• Time table coordinator for first year from 2012 till date
• Actively involved in the conduction of workshop
• Carrying out statistical evaluation and interpretation of data of Ph. D. work of Reserach scholars in the department of BTE
• Member of hostel monitoring squad
• Teacher Guardian for academically weak students
• ISO internal auditor
• Vedic Mathematics coordinator

• Ph.D. in Mathematics from NITK, Surathkal in 2016
• M.Sc. in Mathematics from Mangalore University, Konaje in 2005
• B.Sc. in Maths, Stats, Comp.Sc. from St. Agnes College , Mangalore in 2002

• Lecturer in Chinmaya Pre-University College from 15-07-2005 to 22-07-2007 
• Lecturer in NMAM Institute of Technology from 23-07-2007 to 23-07-2013 Lecturer Grade -I in NMAM Institute of Technology from 23-07-2013 to 23-07-2014 
• Assistant Professor in NMAM Institute of Technology from 23-07-2014 to 07-12-2016 
• Assistant Professor Grade -III in NMAM Institute of Technology from 08-12-2016 to 30-11-2017 
• Associate Professor in NMAM Institute of Technology from 01-12-2017
• Associate Professor and Head from 03-07-2019 till date

• Directed Graphs and combinatorics
• Graph Theory
• Labeling Problems
• Algebraic Graph theory
• Counting Techniques

• Ist year Sessional Co-ordinator
• Department Research co-ordinator
• BOE, BOS, DUGC member

International Journals

1. Hegde, S. M., Kumudakshi, Construction of graceful digraphs using algebraic structures. J. Discrete Math. Sci. Cryptogr., 19,103-116 (2016).(Scopus Indexed)(SJR 0.12)
2. Hegde, S. M., Kumudakshi, Construction of Graceful Directed Graphs ,J. Comb. Info. Sys. Sci., 40, 252-263 (2015)
3. Hegde, S. M., Kumudakshi, Graceful digraphs and complete mappings,Electronic Notes in Discrete Mathematics, 48,151-156 (2015). (Scopus Indexed) (SNIP 0.389, SJR 0.320, Impact factor 0.6)
4. Hegde, S. M., Kumudakshi, Further Results On Graceful Directed Graphs,Electronic Notes in Discrete Mathematics, 53, 149-154,(2016). (Scopus Indexed) (SNIP 0.389, SJR 0.320, Impact factor 0.6)

International Conferences

1. S. M. Hegde and Kumudakshi, Graceful digraphs and complete mappings, at Eighth International Workshop on Graph Labelings at Kalasalingam University, Tamil Nadu during 3rd-6th December, 2014.
2. S. M. Hegde and Kumudakshi, Construction of Graceful Digraphs , at 23 rd IMSCT at N.I.T.K, Surathkal during 18th-21st December, 2014.
3. S. M. Hegde and Kumudakshi, Further results on graceful directed graphs, at International Conference on Graph Theory and its Applications at Amrita University, Coimbatore during 16th-19th December, 2015.

National Conferences

1. S.M. Hegde and Kumudakshi, On Graceful Directed Graphs, at National Conference on Numerical Methods and Network Analysis at Milagress College, Kallianpur, Udupi during 17th - 18th of July, 2014.
2. S.M. Hegde and Kumudakshi, Gracefulness of some oriented digraphs, at NCTESE-2017 at SMVIT, Udupi during 23rd -24th Feb 2017.

• Ph.D.(from Karnataka University Dharwad, 2013)
  
• M.Sc. in Mathematics from Karnatak University in 2006. 
• B.Sc. from Karnatak University in 2003.

• Senoir research fellow in Wrangler Dr. D. C. Pavate Institute of Mathematical Sciences from 03-05-2013 to 02-08-2013 
• Assistant Professor in NMAM Institute of Technology from 01-08-2014 till date.

• Semi boolean rings
• Quasi polar rings
• Exchange rings and modules

• Member-BOE(UG&PG)
• Member DPGC
• NBA-departmental coordinator
• ISO-internal auditor
• Class Advisor
• Faculty Advisor

• Probability Theory and Numerical Methods
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Numerical Methods

International Journals

1. V.A.Hiremath and Sharad Hegde, On strongly clean rings, International journal of Algebra, Vol. 5, No. 1(2011), 31-36.
2. V.A Hiremath and Sharad Hegde, On a subclass of semipotent rings, Research Journal of Pure Alebra, Vol. 2, No. 2(2012), 66-70.
3. V.A.Hiremath and Sharad Hegde, Using ideals to provide a unified approach to uniquely clean rings , Journal of Australian Mathematical Society,Vol. 96, (2014) , 258-274

National Conferences

1. Presented a paper entitled "On Strongly Clean Rings" in the UGC sponsored two day national level conference on Recent Advances in Analysis and its Applications held at Smt. A. S. M. College for Women, Bellary during April 27-28, 2010.
2. Presented a paper entitled "On a subclass of semipotent rings " in the UGC sponsored national conference on Analysis and Applications organized by the Department of Mathematics, Karnatak University, Dharwad during March 15 to 17, 2011.
3. Presented a paper entitled "On uniquely semipotent rings" in the UGC sponsored national seminar on Analysis and Applications organized by the Department of Mathematics, Karnatak University, Dharwad during March 22 and 23, 2013.

• PhD in Applied Mathematics (Tribology) from REVA University, Bangalore in 2019
• M.Sc in Applied Mathematics and Computing from Manipal University, Manipal in 2014
• ADCA(Advance Diploma in Computer Applications) from Karnataka Computer Academy in 2012

• Lecturer in Mangalore Marine College and Technology from 07-07-2014 to 08-07-2015
• Assistant Professor in Alva’s Institute of Engineering and Technology from 20-07-2015 to 02-02-2019
• Assistant Professor in A J Institute of Engineering and Technology from 15-02-2019 to 31-12-2020
• Assistant Professor Grade III in NMAMIT from 15-01-2020 till date.

• Partial Differential Equations
• Tribology

• Received "Research Excellence Award" by INSC(Institute of Scholars) 
  

• Class Advisor
  

• Engineering Mathematics I
• Engineering Mathematics II
• Engineering Mathematics III
• Engineering Mathematics IV
• Advanced Calculus and Numerical methods
• Transform Calculus, Fourier series and Numerical techniques

• K R Vasanth, B N Hanumagowda and J Santhosh Kumar, "Combined Effect of Piezoviscous Dependency and Non-Newtonian Couple Stress on Squeeze-Film Porous Annular Plate", IOP Conf. Series: Journal of Physics: Conf. Series 1000 (2018) 012080 doi :10.1088/1742-6596/1000/1/012080.

• Vasanth Karigowdar Rajendrappa, HanumagowdaBannihalliNaganagowda, JogyallaSanthosh Kumar, RajuBuchanahalliThimmaiah, "Combined Effect of Piezo-Viscous Dependency and Non- Newtonian Couple Stresses in Porous Squeeze-Film Circular Plate", Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 51, Issue 2 (2018) 158-168.

• B N Hanumagowda , B T Raju , J Santhosh Kumar  and K R Vasanth ,"Effect of pressure dependent viscosity on couple stress squeeze film lubrication between porous circular stepped plates", IOP Conf. Series: Journal of Physics: Conf. Series 1000 (2018) 012081 doi :10.1088/1742-6596/1000/1/012081.

• BN Hanumagowda, BT Raju, J Santhosh Kumar and KR Vasanth, "Combined effect of surface roughness and pressure-dependent viscosity over couple-stress squeeze film lubrication between circular stepped plates", ProcIMechE Part J: J Engineering Tribology 2018, Vol. 232(5) 525-534.

• Presented a paper titled "Combined Effect of Piezoviscous Dependency and Non-Newtonian Couple Stress on Squeeze-Film Porous Annular Plate" at 10th National Conference on Mathematical Techniques and Applications-2018 held at SRM INSTITUTE OF Science and Technology on 5th and 6th January 2018.
  

• Presented  a paper titled "Combined Effect of Piezo-Viscous Dependency and Non- Newtonian Couple Stresses in Porous Squeeze-Film Circular Plate" atFirst REVA Research Conclave held in Reva University on 2nd March 2018. 

• M.Sc. Mathematics from Govt. College, kasaragod in 2005 
• B.Ed. from G.C.T.E ,Thallassery in 2006

• Lecturer in NMAM Institute of Technology from 04-09-2007 to 04-09-2013 
• Lecturer Grad I in NMAM Institute of Technology from 04-09-2013 to 04-09-2014 
• Assistant Professor in NMAM Institute of Technology from 04-09-2007 till date

• Linear algebra
• Numerical methods

• Linear Algebra (Open elective)
• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III
• Vector Calculus and Transform Techniques
• Numerical Methods

• 2nd National workshop-cum-Conference Computer Applications based on Modern Algebra organized by Dept. of Computer Science &Engineering and Dept. of Mathematics, MIT, Manipal University during 1-4,July 2017.

• M.Sc. Mathematics from Mangalore University in 2005

• Lecturer in Sri Bhuvanendra College,Karkala from 1/8/2005 to 20/12/2010
• Lecturer in NMAM Institute of Technology from 21/12/2010 to 1/5/2013
•  Assistant Professor Grade I in NMAM Institute of Technology from 1/5/2013 till date.

• Differential Calculus
• Graph theory

• DUGC Member
• Department sessional coodinator
• BOE-UG -Member

• Engineering Mathematics I,II,III,IV
• Numerical Methods
• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Vector Calculus and Transform Techniques
• Advanced Mathematics -I

• M.Sc .from Alva s College, Moodbidri, in 2012
• B.Ed. From Dr. TMA Pai College of Education, Udupi, 2003
• B.Sc. From Poorna Prajna College , Udupi in 2002

• Assistant Professor in NMAM Institute of Technology from 18-07-2012 till date

• Numerical Analysis
• Linear Algebra
• Differential Equations
• Graph Theory

• Course file incharge - Mechanical branch

• Engineering Mathematics I,II,III,IV
• Graph Theory
• Probability Theory& Numerical Methods
• Vector Calculus and Transform Techniques
• Generating Functions and Transform Techniques
• Combinatorial Mathematics
• Linear Algebra

• Has Cleared The KSET exam in the year 2013

• M.Sc. in Mathematics, Mangalore University, Mangalagangothri, Konaje in 2012 
• B.Sc. in PMC(physics,maths,computer science) from Sri Venkataramana Swami college , Bantwala in 2010.

• Algebra
• Lattice Theory

• Life Member of Indian Society of Systems for Science & Engineering(ISSE)

• Engineering Mathematics-I,II,III,IV
• Vector Calculus and Transform Techniques
• Probability Theory
• Generating Functions and Transform Techniques
• Numerical Methods

• M.Sc. in Mathematics Alvas collegemoodbidri in 2012 
• B.Sc. in PMC(physics,maths,computer science) from Sri Bhuvanendra college Karkala in 2010.

• Graph Theory
• Lattice theory

• Engineering Mathematics-I II III IV
• Vector Calculus and Transform Techniques
• Probability Theory
• Graph Theory(open elective)
• Generating Functions and Transform Techniques
• Numerical Methods

• Emerging Trends in Science and Engineering (NCETSE-2017 held at Shri Madhwa Vadiraja Institutute of Technology and management Bantakal Udupi on 23rd and 24th Feb 2017

• M.Sc. in Mangalore University , Mangalgangotri Konaje in 2012 
• B.Sc. Sri Venkataramana Swami College , Bantwal in 2010

• Assistant Professor in NMAM Institute of Technology from 15-01-2013 till date

• Numerical Analysis
• Linear algebra
• Differential Equations
• Graph theory

• Engineering Mathematics- I,II,III,IV
• Probability Theory& Numerical Methods
• Vector Calculus and Transform Techniques
• Graph Theory
• Combinatorial Mathematics
• Linear Algebra

• M. Sc. in Mathematics from Mangalore University in 2013. 
• B.Sc. from Poorna Prajna College udupi in 2011.

• Assistant Professor in NMAM Institute of Technology from 23-07-2013 till date.

• Algebra
• Linear Algebra

• Department sessional coordinator
• BT301/401 course file incharge

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics-I,II

• M.Sc. in Mathematics from Mangalore University in 2012. 
• B.Sc. from Sri Bhuvanendra College Karkala in 2009.

• Lecturer in M.G.M College Udupi from 15-06-2011 to 23-07-2013 
• Assistant Professor in NMAM Institute of Technology from 24-07-2013 till date.

• Graph Theory
• Linear Algebra

• CS301/401 course file incharge

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics- I,II
• Biostatistics

• M. Sc. in Mathematics from Mangalore University in 2010 . 
• B.Sc. from Poorna Prajna College Udupi in 2008.

• Lecturer in Vijaya College Mulki from 2-11-2010 to 30-04-2013. 
• Assistant Professor in NMAM Institute of Technology from 16/12/2013 till date.

• Algebra
• Linear Algebra

• IS 301/401 course file incharge

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics- I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics- II

• Assistant NSS Officer

• M. Sc. in Mathematics from Mangalore University in 2013. 
• B.Sc. from Poorna Prajna College Udupi in 2011.

• Assistant Professor in NMAM Institute of Technology from 01-07-2014 till date.

• Algebra
• Linear Algebra

• Department sessional coordinator
• EE301/401 course file incharge

• Probability Theory and Numerical Methods
• Generating Functions and Transform Techniques
• Engineering Mathematics I,II,III,IV
• Vector Calculus and Transform Techniques
• Advanced Mathematics-I,II