Dr. Balakumar R
Assistant Professor(SG)
Department Of Mathematics
CONTACT DETAILS
Email
balakumar@pmu.edu
balakumar@pmu.edu
Work Address
Periyar Maniammai Institute of Science & Technology (PMIST), Vallam, Thanjavur - 613403, Tamil Nadu, India
Periyar Maniammai Institute of Science & Technology (PMIST), Vallam, Thanjavur - 613403, Tamil Nadu, India
Academic Qualifications
| Examination / Degree | Board / University | Year of Passing | Specialization |
|---|---|---|---|
| Ph.D | Bharathidasan University | 2013 | Maths |
| M.Phil | Bharathidasan University | 2007 | Maths |
| M.Sc | Bharathidasan University | 2005 | Maths |
| B.Sc | Bharathidasan University | 2003 | Maths |
Employment Profile / Promotions
| Designation | Employer | From Date | To Date |
|---|---|---|---|
| Assistant Professor (SG) | Periyar Maniammai Institute of Science & Technology | 01-08-2024 | Till Date |
| Assistant Professor | Periyar Maniammai Institute of Science & Technology | 27-12-2021 | 31-07-2024 |
Courses Handled
Advanced Numerical Methods
Algebra, Calculus & Analytical Geometry
Algebra,Calculus and Analytical Gemometry
Analytical Geometry (3D) and Integral Calculus
Discrete Mathematical Structures
Discrete Mathematics
Functional Analysis
Mathematical Foundation for Computer Applications
Mathematical Foundations for Computer Applications
Mathematical foundations of Computer Science
MATHEMATICS FOR COMPETITIVE EXAMINATION IV
Mathematics for Data Science - I
Mathematics for Data Science - III
Mathematics for Data Science-IV
Matrices and Differential Calculus
Optimization Techniques
Probability and Statistics
Probability and Statistics Fundamentals
Probability Distribution and Statistical Methods
Quantitative Aptitude – II
Research Methodology
Statistical and Numerical Methods
Statistics and R Programming
Transforms and Partial Differential Equations
Vector Calculus
(A) Refereed Research Journals
5
| Author(s) | Title of Paper | Journal | Volume (No.) | Page numbers | Year |
|---|---|---|---|---|---|
| Balakumar R | MATHEMATICAL FORMULATION OF FUZZY GEOMETRIC DIFFERENTIAL CLUSTERING FOR NON EUCLIDEAN DATA STRUCTURES | Journal of Applied Mathematics and Informatics | 44 | 1501-1522 | September-2026 |
| Balakumar R | The Art of Fuzzy: Crafting Defuzzification with Centroid of Maxima and Minima | International Journal of Fuzzy Systems | - | - | April-2025 |
| Balakumar R | Certain subclasses of bi-univalent functions connected with polylogarithm function | Journal of Interdisciplinary Mathematics | 28 | 1881-1891 | September-2025 |
| Balakumar R | A Mathematical Model for Green Leaves Diet Using Ranking of Tridecagonal Fuzzy Numbers | Malaysian Journal of Fundamental and Applied Sciences | 20 | 946–955 | September-2024 |
| DILIP JOSE S, BUVANESWARI S, Balakumar R | Unraveling the Complexities of Thermal Radiation And Rotational Dynamics in Parabolic Flow: A Perspective | JP Journal of Heat and Mass Transfer | 37 | 617-639 | December-2024 |
(C) Conferences / Symposia Proceedings
3
| Author(s) | Title of Abstract / Paper | Title of the Proceedings | Venue | Year |
|---|---|---|---|---|
| Balakumar R | A mathematical optimization approach of welfare schemes for below poverty line people from Mannargudi | Progress in Materials Science for sustainable Energy, environment and health | PMIST | March-2024 |
| Balakumar R | A COMPARATIVE VALIDATION STUDY ON MAXIMA METHOD FOR DEFUZZIFICATION | International Conference on “Mathematical Modeling, Applied Analysis and Computation | PMIST | March-2023 |
| Balakumar R | DECISION MAKING FOR ASSESSMENT OF DEGREE OF TREATMENTS IN MEDICAL DIAGNOSIS: A FUZZY APPROACH | International Conference on “Mathematical Modeling, Applied Analysis and Computation | PMIST | March-2023 |
(E) Book Publications
1
| Author(s) | Title | Publication | ISBN | Year |
|---|---|---|---|---|
| Balakumar R, ARUMUGAM R, RAJATHI M | BUSINESS STATISTICS | DURAIGO PUBLICATIONS | 9789394503038 | 2022 |
Copyright / Patent
2
| Author(s) | Patent Title | Status | Publication Date | Granted Date |
|---|---|---|---|---|
| GEETHA P, SUDHA P N, Balakumar R, MANIMOZHI S, MUTHAMIZH SELVAN A, DILIP JOSE S | Relating the use of matrices to encode and decode messages with population models, and control terrestrial traffic | Published | 2022-12-30 | - |
| SASIKALA A, JAYANTHI J, Balakumar R, RAJESWARI K, BUVANESWARI S, VIMALA C | Fuzzy Optimal Control with Desired End State Modeled by a Linguistic Concept | Published | 2022-12-31 | - |
Workshops / Seminars Organized
14
| Level | Role | Title of Activity | From | To | Event Type |
|---|---|---|---|---|---|
| State | Co-Convenor | Industrial Visit | 31-03-2023 | 31-03-2023 | Industrial/Local/Study/Field Visit |
| Institution | Co-Convenor | Special Lecture –II on “Mathematics for Finance and Insurance” | 28-09-2024 | 28-09-2024 | Guest / Invited Lecture |
| Regional | Convenor | SIX-DAY FDP ON CUTTING-EDGE MATHEMATICS INNOVATIONS | 27-04-2024 | 17-05-2024 | Faculty Development Programme |
| Institution | Co-Convenor | Data Analysis using R-Programming | 26-09-2024 | 27-09-2024 | Workshop/Seminar/Webinar - Student Related |
| Institution | Convenor | IPR on Academics | 26-04-2024 | 26-04-2024 | Commemorative Days, Events and Festivals |
| Institution | Convenor | Transition on Computing | 22-12-2022 | 22-12-2022 | Commemorative Days, Events and Festivals |
| Institution | Co-Convenor | Gender Roles | 22-11-2023 | 22-11-2023 | Gender Sensitivity |
| Institution | Co-Convenor | Special Lecture on “Introduction to Fuzzy Statistics” | 21-10-2024 | 21-10-2024 | Guest / Invited Lecture |
| National | Co-Convenor | One Week Online Short Term Training Programme on Python, R and Latex | 20-09-2023 | 26-09-2023 | Short Term Training Programme |
| Institution | Co-Convenor | Two-Day Workshop on Crafting Maths: Interactive GeoGebra and Elegant Latex | 19-09-2025 | 20-09-2025 | Workshop/Seminar/Webinar - Student Related |
| National | Co-Convenor | SPSS, R and Data Science | 19-09-2022 | 24-09-2022 | Faculty Development Programme |
| Institution | Co-Convenor | Special Lecture -I on Mathematics for Finance and Insurance | 10-08-2024 | 10-08-2024 | Guest / Invited Lecture |
| Institution | Co-Convenor | Principles of Scientific Publishing in the Discipline of Mathematics | 04-02-2023 | 04-02-2023 | Skill Development Training |
| Institution | Co-Convenor | Women Disparity | 03-04-2024 | 03-04-2024 | Gender Sensitivity |
Membership of Professional Bodies
1
| Membership Type | Organization Name | Date |
|---|---|---|
| Academic | ISTE | 11-07-2022 |
Acted as Resource Person
9
| Event Type | Event Level | Event Title | Organized by | From | To | Mode |
|---|---|---|---|---|---|---|
| Competitive Examinations Coaching | District | Two Weeks Eye Opener Session for TET Aspirants | Department of Education, PMIST | 27-10-2025 | 12-12-2025 | Offline |
| Career Development/Counseling | Institution | Creative Track | Department of Mathematics | 25-04-2023 | 25-04-2023 | Offline |
| Board of Studies External | Regional | Board of Studies External | Bharath College of Science and Management | 25-03-2026 | 25-03-2026 | Offline |
| Commemorative Days, Events and Festivals | Institution | History of Srinivasa Ramanujan. | Department of Mathematics | 22-12-2025 | 22-12-2025 | Offline |
| Competitive Examinations Coaching | Institution | ONE WEEK WORKSHOP ON CRACKING CSIR NET / SET EXAM 2023 | Department of Mathematics | 17-04-2023 | 17-04-2023 | Offline |
| Conference | International | Two Days International Conference on Mathematical Modelling, Applied Analysis and Application | Department of Mathematics | 16-03-2023 | 17-03-2023 | Online |
| Board of Studies External | District | Board of Studies meeting | Bharath College of Science and Management, Thanjavur | 12-09-2024 | 12-09-2024 | Offline |
| Seminar/Webinar | Institution | Ancient Indian concepts and Their Paralleles in Modern Communication Systems | Department of Electronics and Communication Engineering | 10-11-2025 | 10-11-2025 | Offline |
| Competitive Examinations Coaching | State | Number System | Department of Education | 09-10-2022 | 09-10-2022 | Online |
Book Editor
1
| Book/Journal Name | Publication | Category | Year |
|---|---|---|---|
| International conference on Mathematical Modelling, Applied Analysis and Computation | Durai & Co | National | March-2023 |
Email copied to clipboard!