Associate Professor
Area of Specialization:
- Mathematical Analysis
- Number theory
Research Interests:
- Approximation Theory
- Integral Transforms
- Analytic Number Theory
Selected Publications: (International & National)
- Ramesh Kumar M, On some definite integrals connecting with certain infinite series, Journal of the Indian Mathematical Society , 77 (1-4), (2010), 117-128.
- Ramesh Kumar M, On some definite integrals, Journal of the Indian Mathematical Society, 81 (3-4)(2014), 273–282.
- Ramesh Kumar M, On a class of definite integrals, Journal of the Indian Math. Soc. 82 (1-2), (2015), 97-107.
- Ramesh Kumar M, On some definite integrals from Ramanujan's notebooks, Journal of the Indian Mathematical Society, 82(3-4)(2015), 115-126.
Journal Publications:
- Ramesh Kumar M, Note on Newton interpolation formula, International Journal of Mathematical Analysis, 6 (50) (2012), 2459-2465.
- Ramesh Kumar M , Some properties and applications of a new arithmetic function in analytic number theory, Notes on Number Theory and Discrete Mathematics, 4 (3) (2012), 38-48.
- Ramesh Kumar M, Formulae for finite difference approximations, quadrature and linear multistep methods, Journal of Mathematical Sciences: Advances and Applications, 18 (1-2) (2012), 1-19.
- Ramesh Kumar M, Some formulas for numerical differentiation through divided differences, International Journal of Mathematical Archive, 3 (10) (2012), 3620-3623.
- Ramesh Kumar M, Some properties and applications of generalized Bernoulli polynomials, International Journal of Applied Mathematics, 25(1) (2012), 83-93.
- Ramesh Kumar M, On some definite integrals connecting with infinite products and infinite series, SCIENTIA, Series A : Mathematical Sciences, 22 (2012), 93-100.
- Ramesh Kumar M, On some definite integrals connecting with sums related to inverse tangent function, SCIENTIA, Series A : Mathematical Sciences, 22(2012), 101-109.
- Ramesh Kumar M, On generalized Bernoulli polynomials of negative order connecting with fractional integrals and fractional differences, International Journal of Mathematical Archive, 3(12)(2012), 4836-4839.
- Ramesh Kumar M, Some integrals connecting with trigonometric infinite series, International Journal of Mathematical Archive, 4(3)(2012), 47-50.
- Ramesh Kumar M , A note on Bernoulli numbers, Notes on Number Theory and Discrete Mathematics, 19 (1) (2013), 59-65.
- Ramesh Kumar M, Note on Legendre symbols connecting with certain infinite series, Notes on Number Theory and Discrete Mathematics, 19(2) (2013), 77-83.
- Ramesh Kumar M , Evaluation of integrals through psi function, SCIENTIA, Series A : Mathematical Sciences, 24(2013), 67-77.
- Ramesh Kumar M, Evaluation of some definite integrals through arctangent function and infinite products, SCIENTIA, Series A : Mathematical Sciences, 24 (2013), 78-89
- Ramesh Kumar M, A note on Aitken-Neville interpolation schemes, International Journal of Mathematical Sciences and Engineering Applications, 7 (II) (2013), 343-349.
- Ramesh Kumar M, Numerical differentiation and integration through Aitken-Neville schemes, International Journal of Analysis and Applications, 3 (2) (2013), 104-111.
- Ramesh Kumar M and Uthra G, A note on polynomial interpolation formulae, International Journal of Mathematical Archive, 5 (7) (2014), 41-48.
- Ramesh Kumar M , On Summation of certain infinite series and sum of powers of square root of natural numbers, Notes on Number Theory and Discrete Mathematics, 20 (3) (2014), 36-44.
- Ramesh Kumar M, Some arithmetic properties of an analogue of mobius function, Notes on Number Theory and Discrete Mathematics, 20 (2) (2014), 92-96.
- Ramesh Kumar M and Uthra G, A study on numerical stability of finite difference formulae for numerical differentiation and integration, Annals of Pure and Applied Mathematics, 8 (2) (2014), 27-36.
- Ramesh Kumar M and Uthra G, Barycentric formula for numerical differentiation, Global Journal of Pure and Applied Mathematics, 12 (1) (2016), 320-324.
- Ramesh Kumar M, Some infinite series involving arithmetic functions, Notes on Number Theory and Discrete Mathematics, 21 (2 ) (2015), 8–14,
- Ramesh Kumar M, Some remarks on generalized Euler polynomials, JP Journal of Mathematical Sciences, 13 (1-2)( 2015), 1-8.
- Ramesh Kumar M and Uthra G, Note on Neville interpolation, International Journal of Pure and Applied Mathematics, 116 (23), 2017, 99-102.
International Conference: (Presented)
- Some applications of Aitken-Neville iterative schemes in numerical analysis, International Conference on Mathematics & Statistics gateway to Modern Technology held at Sri Kanyaka Parameswari Arts & Science college for women from 24.07.14 to 25.07.14.
- A study on numerical stability of barycentric Lagrange interpolation formula, International Conference on Mathematical Computer Engineering (ICMCE) held at VIT University from 14.12.15 from 15.12.15.
National Conference: (Presented)
- Barycentric formula for numerical differentiation, National Conference on Mathematical techniques and its applications, SRM University from 04-01-2016 to 05-01-2016
- Solution of nonlinear equations, One day symposium mathematical methods and applications, IIT madras on 22.12.2001.
Academic Experience:
- Associate Professor in Dept of Mathematics, Saveetha Engineering college from 2.01.2017 to till date.
- Assistant Professor in Dept of Mathematics, Saveetha Engineering college from 10.09.2013 to 01.1.2017 (3 years and 3 months)
- Assistant Professor in Dept of Mathematics at D.G. Vaishnav College ( 2 Years)
- Lecturer in Dept of Mathematics at Sindhi College (2 Years).
- Lecturer in Dept of Mathematics at CTM College of Arts and Science (3 Years and 8 Months).
- Lecturer in Dept of Mathematics at Shree Chandra Prabhu Jain College (9 Months).
- Part Time Lecturer in Dept of Mathematics at Sir Theagaraya College. (5 Months).
Professional Development Activities:
- Six days FDTP on Algebra and Numer Theory, Sai ram Institute of Technology from 10/6/19 to 15/6/19.
- Faculty development and training programme on “Research methodology – tools and techniques in engineering, Saveetha Engineering Collegefrom 26/11/18-27/11/18.
- Foundation programme in ICT for education Bombay-IIT Bombay, Saveetha Engineering College from 08.03.18 to 12 .04.18.
- Pedagogy for online and Blended Teaching-Learning Process- IIT Bombay, Saveetha Engineering College from 14.09.17 to 12.10.17.
- Two-week ISTE STTP in Engineering Physics, 8th – 18th Dec 2015 conducted by IIT Bombay(Online) (NMEICT Through ICT) Saveetha Engg.College, Chennai.
- Bridge course in Anna university on 20.06.2013 and 21.6.2013
Conferences/Seminars/Workshops Attended:
- Two days workshop on Algebra and Number Theory, Saveetha Engineering College from 28.06.19 to 29.06.19.
- One day wokshop in Linear Algebra, Saveetha Engineering College, 31/08/18.
- One day Hands on training in Latex, Saveetha Engineering college on 04/02/2017.
- Oneday workshop in Queuing theory in Saveetha Engineering college on 27.11.2015.
- National conference on Emerging trends in Science and Humanities 2015-10th April 2015 at Saveetha Engineering College.
- National Conference in Emerging Trends and Science and Humanities -11 April 2014 at Saveetha Engineering College.
- National conference on Emerging trends in Science and Humanities, NCETSH 2013-5th April 2013 at Saveetha Engineering college.