• Calculus and Linear Algebra
• Advanced Calculus and Complex Analysis
• Transforms and Boundary Value Problems
• Mathematics(LE)
• Methods for Engineers
• Probability and Queuing Theory
• Probability and Random Process
• Discrete Mathematics for Engineers
• Probability and Statistics
• Operation Research
• Statistics and Quantitative Techniques

• Stochastic Process and Queuing Theory

Book Publication

• Rural Management Business Analytics 2 (First Edition), Dr.K.Duraivelu  &  Dr.R.Manimaran, Published by MHRD/Government of India-Ministry of Human Resource Development.(Mahatma Gandhi National Council of Rural Education(MG NCRE), Ministry of Higher Education.

Selected Publications

• C. Vijayan and R. Manimaran, “Option pricing techniques stochastic delay model with under Poisson jump”, AIP Conference Proceedings, 2852, 050012 (2023).
• C. Vijayan and R. Manimaran, “Application of Homotopy Analysis Shehu Transform Method for
  Fractional Black – Scholes Equation”, IAENG International Journal of Applied Mathematics, Vol. 52, no. 2, pp. 743—756, 2023.
• Dr. K. Duraivelu and Dr. R. Manimaran – “Rural Management Business Analytics 2” – Mahatma
  Gandhi National Council of Rural Education, Department of Higher Education, Ministry of Human Resource Development, Government of India 978-93-89431-09-4, 2020.
• R.Manimaran and M.Aravind, “Application of Delay differential equation in queuing theory”- AIP Conference proceedings, Volume 2282-020031(2020),
• R. Manimaran and R. Venkatraman, “Queuing Theory Application In The Traffic Flow Of Intersection”
•  – International Journal of Pure and Applied Mathematics (IJPAM), Volume 119 , No. 13 2018, Page 91-99.
• V. Narayanan, J.B.VeeraMalini, R.Manimaran, CORRELATION OF PIPERDONE DERIVATIVES WITH COMPLETE TRIPARTITE GRAPH ACCEPTING COMPLETE MONOTONIC DECOMPOSITION – Global Journal of Pure and Applied Mathematics (GJPAM), Vol.12, 2016, no.2, Pg 70 – 73.
• R.Manimaran, .B.VeeraMalini, V.Narayanan ,GRAPH THEORETICAL ANALYSIS OF PIPERDONE DERIVATIVES WITH COMPLETE TRIPARTITE GRAPH K4, m, n DOES NOT ACCEPTING COMPLETE MONOTONIC DECOMPOSITION – Global Journal of Pure and Applied Mathematics (GJPAM),Vol. 12, No 2 ,2016, no.1, Pg 414 – 417
• R Manimaran, V Balakrishnan, V Narayanan ,A Collective Risk Theory in Reinsurance , International Journal of Innovation in Science and Mathematics, Vol. 2, Issue 1, 2014, no.2, Pg 151 – 153.
• R Manimaran, Infinite Time Exact Ruin Probabilities in a Stochastic Economic Environment International Journal of Computer Applications , Vol 77,No 4,Page 8 – 12,2013

• “International Conference on Mathematical Science, Modeling and Computational Intelligence (ICMSMCI’22) “ organized by Department of Mathematics – Kumaraguru College of Technology, Coimbatore on September 29th and 30th, 2022.
• “National Conference on Recent Trends in Mathematics and its Applications – 2018” Organized by Department of Mathematics – SRM Institute Of Science and Technology, Vadapalani Campus, Chennai – 600026.
• “International Conference on Recent Trends in Mathematics” Organized by PG & Research Department of Mathematics – Loyola College, Chennai – 600034.
• “National Conference on Resent Trends in Mathematics and its Applications – 2017” Organized by Department of Mathematics – SRM University, Vadapalani Campus, Chennai – 600026.
• “National Conference on Resent Trends in Mathematics and its Applications – 2016” Organized by Department of Mathematics – SRM University, Vadapalani Campus, Chennai – 600026.

• Lecturer, Bharath engineering college, Chennai, 1994 – 2000
• Lecturer, Arignar Anna Institute of Science &Technology.Chennai,2000-2001
• Lecturer, St.Peter’s Engineering College, Avadi, Chennai, 2001 – 2004.
• Assistant Professor, Aalim Muhammed Salegh College of Engineering, Chennai, 2004 – 2014.
• Assistant Professor, SRM University, Vadapalani Campus, Chennai, 2014 onwards

• Expert talks on “Calculation is a Part of life” by Dr.S.Thirumagan, former Controller of Examinations, University of Madras, Chennai on 18-04-2023.
• “What next after +2” – How to score High Marks? – Sri Eshwar college of Engineering, Coimbatore on 27.02.2022.
• “Career guidance program” – Sri Eshwar college of Engineering, Coimbatore on 16.11.2019

• “Calculation is a part of life” – SRM Institute of Science and Technology, Vadapalani Campus, Chennai on 18.04.2023.
• “How to score good marks in Mathematics in Board Examination” – Government Scheduled Caste Boy’s high school at sevvapatti, Thiruvallur on 30.03.2023.
• “Important results and formula for State Board and CBSE” – P.S.Higher secondary school, Mylapore – For class XI and XII on 09.09.2022.
• “InithuInithuThaervuInithu” Hindu Tamizh daily and SRM – SRM KTR on 10.02.2019.
• “InithuInithuThaervuInithu” Hindu Tamiz daily and SRM – Thirunelveli on 26.01.2019.
• “InithuInithuThaervuInithu” Hindu Tamiz daily and SRM – SRM Madurai on 25.01.2019.
• “How to face XII Examination” – SBOA School, Anna Nagar West, Chennai on 11.01.2019.
• “InithuInithu” – The Hindu – Tamil News daily – Bhavan’s Rajaji Vidhyashramam for +2 students on 22.01.2017.
• “InithuInithu” – The Hindu – Tamil Newspaper – Thiruvannamalai for +2 students on 07.01.2017.
• “InithuInithu” – The Hindu – Tamil Newspaper – Villupuram for +2 students on 28.05.2016.

• Hyper Automation organized by VIT from 08.05.2023 to 12.05.2023.
• Mathematical Application in Engineering organised by VIT from 24.04.2023 to 28.04.2023.
• Regression Analysis in Research organized by VIT from 24.04.2023 to 28.04.2023.
• Applied Statistics Methods for Research organised by VIT from 03.04.2023 to 07.04.2023.
• Innovative Research Techniques for Data Analysis and Interpretation organised by SRM, Vadapalani during 04.03.2023.
• Research Perspectives in Mathematics and its Applications organized by Sathyabama Institute of Science and Technology from 04.07.2022 to 16.07.2022.
• Frontiers of Mathematics organised by SRMIST, Ramapuram from 19.05.2022 to 02.06.2022
• Research Advances in Mathematics and its Applications organised by Sathyabama College from 02.08.2021 to 14.08.2021.
• Pedagagy and Research Methods organised by AMET University from 24.05.2021 to 06.06.2021.
• Number Theory and its Applications organised by Gates Institute of Technology from 14.06.2021 to 19.06.2021.
• Latex organised by Auxilium College of Arts and Science for Women from 07.06.2021 to 12.06.2021.
• MATLAB and its Applications organised by Dr. N.G.P. Institute of Technology from 07.06.2021 to 12.06.2021.
• Applicable Mathematics and Programming in Science and Technology organised by Mohamed Sathak A J College from 07.06.2021 to 12.06.2021
• Innovation Management Organized By Aicte-atal (Shiv Nadar University) 10/10 To 14/10/2020.
• Operations Management Organized By Aicte-atal(Srisairam Engineering College) On 31/08 To 04/09/2020
• Leadership & Excellence Organized By Aicte-atal(Alagappa University On 25/09 To 29/09/2020
  Python Programming Organized By Dharmamurthi Rao Bhagadur Calavala Cunnan Chetty’s Hindu College On 10/06 To 14/06/2020
• Applications And Techniques In Mathematics Organized By Sri Sai Ram Institute Of Technology On 20/07 To 24/07/2020
• Advanced Statistical Analysis For Management And Social Services Organized By Amity University On 03/06 To 09/06/2020
• Application Of Ict Tools For Enhancement Of E-learning & Teaching Pedagogy In Schools Organized By Integral University On 08/07 To 14/07/2020
• Applications Of Mathematics In Engineering Organized By Kpr Institute Of Engineering And Technology On 25/08 To 28/08/2020
• Recent Advances In Graph Theory And Neural Networks Organized By St.joesph’s Institute Of Technology On 14/06 To 16/06/2020
• Statistical Application Using Spss Organized By Shri Shankarlal Sundarbai Shasun Jain College For Women On 16/05 & 17/05/2020
• Recent Trends In Information, Computing, Communication And Teaching Methodology Competency Organized By Sri Sai Ram Engineering College On 04/05-17/05/2020
• Scilab – An Open Source Substitute For Matlab Organized By Jntuh College Of Engineering Sultanpur On 25-29/05/2020
• Tools For Online Classroom Post Covid-19 Organized By P.b.siddartha College Of Arts & Science On 18/05-20/05/2020
• R Language Organized By Auxilium College (Autonomous) On 13/05-17/05/2020
• Insights Into Quality Research And Innovation Conducted By Vivekananda College Of Engineering For Women On 13/05-19/05/2020
• Descriptive Statistics Through R-programming Organized By Kpr Institute Of Engineering And Technology On 26/05-28/05/2020
• Recent Advances In Graph Theory, Mathematical Biology & Automata Theory Organized By St.joseph’s College Of Engineering On 28/05//2020-30/05/2020
• Advancement In Science And Humanities Organized By Panimalar Institute Of Technology On 25/05/2020 – 29/05/2020
• Mathematical Modeling In Multidisciplinary Domain Organized By Bannari Amman Institute Of Technology On 01/06/2020 – 07/06/2020
• “National Conference On Resent Trends In Mathematics And Its Applications – 2018” Organized By Department Of Mathematics – Srm Institute Of Science And Technology, Vadapalani Campus, Chennai – 600026.
• “International Conference On Recent Trends In Mathematics” Organized By Pg & Research Department Of Mathematics – Loyola College, Chennai – 600034.
• “National Conference On Resent Trends In Mathematics And Its Applications – 2017” Organized By Department Of Mathematics – Srm University, Vadapalani Campus, Chennai – 600026.
• “National Conference On Resent Trends In Mathematics And Its Applications – 2016” Organized By Department Of Mathematics – Srm University, Vadapalani Campus, Chennai – 600026.
• ”Workshop On Graph Theory And Its Applications-2016” Organized By Department Of Mathematics – Srm University, Ramapuram Campus, Chennai.
• “National Conference On Emerging Trends In Mathematical Sciences”-(Ncetms-2016) Organized By Department Of Mathematics -s.a. Engineering College, Chennai
• Conduct A “work Shop On Application Of Mathematics In Engineering & Technology” Organized By Department Of Mathematics , Aalim Muhammed Salegh College Engineering
• “International Conference On Mathematics And Computer Science” (Icmcs 2007) Organized By “department Of Mathematics – Loyola College”, Chennai – 600034
• “3rd Regional Technical Instituions Conclave On Soft Skills Specifics In Curriculum” Organized By Aalim Muhammed Salegh College Engineering.
• “Applications Of Mathematics In Engineering” Organized By Department Of Applied Sciences & Humanities, Mit, Chennai – 600044.
• “Tteaching The Teachers” (Faculty Development Programme) Organized By Aalim Muhammed Salegh College Engineering.
• “Effective Teaching Techniques” (Faculty Development Programme) Organized By St. Peter’s Engineering College.

• Applied Mathematics organized by SRM, Ramapuram from 06.02.2023 to 08.02.2023.
• Number Theory and its Applications organized by SRM, Ramapuramduring 23.12.2023.
• Integrated approaches of Stochastic modelling and Data Science for Sustainable Development from 07.09.2022 to 11.09.2022
• Introduction to Mathematical Ecology organized by SRMIST, Ramapuram during 04.02.2022.
• Numerical and Analytical Techniques in Engineering Problems organized by SRM, Kattankulathur from 19.0l.2022 to 21.01.2022.
• Origin of Mathematics in Vedas and its Different Dimensions conducted by Gautam Buddha University, Siksha Sanskriti Utthan Nyas on 18 & 19/07/2021
• Workshop on Matlab for Beginners conducted by Government Arts and Science College on 20/06/2021
• Participated in “Algebra” National workshop conducted by Hindusthan College of Engineering and technology on 22&23/07/2021
• Participated in Online National Workshop on Linear Algebra organized by SSN College of Engineering on 01/06/2021
• Participated the Workshop on Mathematical Analysis conducted by Loyola College (Autonomous) on 13/05/2021
• Participated and Conducted a One day workshop on “Application Of Mathematics In Engineering & Technology” Organized by the Department of Mathematics, Aalim Muhammed Salegh College of Engineering
• Participated in One day Conference on 3rd Regional Technical Institutions Conclave On of skills Specifics In Curriculum ” by Aalim Muhammed Salegh College of Engineering
• Participated in the “International Conference on Mathematics and Computer Science” conducted by Department of Mathematics, Loyola College.
• Participated in the One Day Workshop on “Graphs and Inter connection Networks Of Parallel Computers” by Department Of Mathematics, Valliammai Engineering College. 
• Participated in the Two Day Seminar on “Application Of Mathematics In Engineering” Organized by Department of Applied Sciences & Humanities, Madras Institute Of Technology, Anna University, Chromepet

• “Engineering Mathematics – I” – NPTEL
• “Advance Calculus for Engineers” – NPTEL
• “Calculus for Economics, Commerce and Management”– NPTEL
• “Multivariable Calculus” – NPTEL
• Differentiation and Functions in Mathematics, Alison On line Certificate Course.
• Sequences, Series and Equations in Mathematics’ – Alison On line Certificate Course.
• Probability and Chance in Mathematics,Alison On line Certificate Course
• Preparing For the AP* Calculus AB and BC Exams (Part-2- Integral Calculus) – University Of Houston.
• Calculus Single Variable – University Of Pennsylvania.
• An Introduction to Functional Analysis –Ecole Central Paris.

• CERTIFICATE OF TEACHING EXCELLENCE, SRM UNIVERSITY,2015
• Differentiation and Functions in Mathematics, Alison On line Certificate Course.
• Sequences, Series and Equations in Mathematics’ – Alison On line Certificate Course.
• Probability and Chance in Mathematics, Alison On line Certificate Course
• Preparing For the AP* Calculus AB and BC Exams (Part-2- Integral Calculus) – University Of Houston.
• Calculus Single Variable – University Of Pennsylvania.
• An Introduction to Functional Analysis –Ecole Central Paris.

• “London Mathematical Society” London, WC1B 4HS, United Kingdom.
• “IAENG “International Association of Engineers”175801.
• “The Association of Mathematics Teachers of India” L15148.
• “Indian Society of Industrial and Applied Mathematics”-M-64
• “Indian Mathematical Society”-L-2018-18
• Indian Science Congress – life time member
• Research India Foundation-Life member (RIF –DCL-161)
• Institute of Scholars, Life Member (Insc2021D853)

• Currently guiding 3 Scholar.