Established in 1986, the Department of Mathematics is committed to providing a strong mathematical foundation tailored to the needs of engineering applications, research, and higher education. The department plays a pivotal role in supporting engineering disciplines through courses in Engineering Mathematics, delivered by highly qualified and dedicated faculty using innovative teaching methodologies.
The department is a recognized Research Centre under Visvesvaraya Technological University (VTU) and offers both Part-time and Full-time Ph.D. programs in Mathematics. Faculty members are actively engaged in research across a wide range of mathematical domains, contributing to the advancement of both pure and applied mathematics.
A dedicated Mathematics Programming Laboratory is equipped with modern software tools and systems. This facility provides students with practical, hands-on experience, enhancing their understanding of mathematical concepts through interactive and applied learning.
The Mathematics Club, guided by the department, offers students a dynamic platform to engage with mathematics beyond the classroom. The club fosters a sense of community among math enthusiasts, encourages participation in problem-solving activities and competitions, and helps students develop analytical and critical thinking skills. It also aims to demonstrate the real-world applications of mathematics across various disciplines and careers, inspiring students to appreciate its relevance in everyday life.
Vision
- To achieve academic excellence in Mathematics thus enabling students to have enhanced opportunities in the field of Mathematics and Engineering.
Mission
- To provide a strong foundation in Mathematical principles that supports engineering, technology, and interdisciplinary learning.
- To promote analytical, logical, and problem-solving skills through effective teaching and innovative learning methods.
- To encourage research, innovation, and continuous learning in Mathematics and its applications in science and engineering.
- To integrate modern computational tools and mathematical software for effective analysis, modeling, and engineering problem-solving.
- To create an engaging learning environment that develops critical thinking, creativity, and confidence in applying Mathematics to real-world situations.
Program Outcomes
- PO1: Engineering Knowledge: Apply knowledge of mathematics, natural science, computing, engineering fundamentals and an engineering specialization as specified in WK1 to WK4 respectively to develop to the solution of complex engineering problems.
- PO2: Problem Analysis: Identify, formulate, review research literature and analyze complex engineering problems reaching substantiated conclusions with consideration for sustainable development. (WK1 to WK4)
- PO3: Design/Development of Solutions: Design creative solutions for complex engineering problems and design/develop systems/components/processes to meet identified needs with consideration for the public health and safety, whole-life cost, net zero carbon, culture, society and environment as required. (WK5)
- PO4: Conduct Investigations of Complex Problems: Conduct investigations of complex engineering problems using research-based knowledge including design of experiments, modelling, analysis & interpretation of data to provide valid conclusions. (WK8).
- PO5: Engineering Tool Usage: Create, select and apply appropriate techniques, resources and modern engineering & IT tools, including prediction and modelling recognizing their limitations to solve complex engineering problems. (WK2 and WK6)
- PO6: The Engineer and The World: Analyze and evaluate societal and environmental aspects while solving complex engineering problems for its impact on sustainability with reference to economy, health, safety, legal framework, culture and environment. (WK1, WK5, and WK7).
- PO7: Ethics: Apply ethical principles and commit to professional ethics, human values, diversity and inclusion; adhere to national & international laws. (WK9)
- PO8: Individual and Collaborative Team work: Function effectively as an individual, and as a member or leader in diverse/multi-disciplinary teams.
- PO9: Communication: Communicate effectively and inclusively within the engineering community and society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations considering cultural, language, and learning differences
- PO10: Project Management and Finance: Apply knowledge and understanding of engineering management principles and economic decision-making and apply these to one’s own work, as a member and leader in a team, and to manage projects and in multidisciplinary environments.
- PO11: Life-Long Learning: Recognize the need for, and have the preparation and ability for i) independent and life-long learning ii) adaptability to new and emerging technologies and iii) critical thinking in the broadest context of technological change. (WK8)
Programme Educational Objectives (PEO)
- To provide a degree course suitable for students enabling them to apply the concepts of mathematics to students.
- To prepare students for further study and in preparing successful career in industry and R&D organization.
- To provide students with knowledge of mathematics and in preparing successful career in industry and R&D organization.
Faculty Members
| Name | Qualification | Designation |
| Dr. S. Sreelakshmi | M.Sc., Ph.D. | Professor & HOD |
| Dr. V.Nagaradhika | M.Sc., M.Phil., Ph.D. | Associate Professor |
| Ms. S. Uma | M.Sc. | Associate Professor |
| Dr. Chaya T.Y. | M.Sc., M.Phil., Ph.D. | Assistant Professor |
| Mr. Aravind P.N. | M.Sc. | Assistant Professor |
| Ms. Shuba R.N. | M.Sc. | Assistant Professor |
| Ms. Malashri S. | M.Sc. | Assistant Professor |
| Ms. Chetana M.B. | M.Sc. | Assistant Professor |
| Ms. Vasudha D.K. | M.Sc. | Assistant Professor |
| Mrs. Latha Y.L. | M.Sc. | Assistant Professor |
| Ms. Janani P. | M.Sc. | Assistant Professor |
| Ms. Niveditha C.N. | M.Sc. | Assistant Professor |
| Mr. Srinivas K | M.Sc. | Assistant Professor |
| Dr. Rudresha C. | M.Sc., Ph.D. | Assistant Professor |
Research
The Research Center at Department of Mathematics is recognized by Visvesvaraya Technological University, Belgaum. The Research Centre helps faculty to involve in Research and pursue PhD programmes. List of Research Guides and their Specialization| Sl.No. | Name of the Research Guide | VTU Research ID | Area of Specialization of the Research Guide | Number of Research Scholars | Details of Ph.D. Guidance to other Universities Research Scholars |
| 1 | Dr. S.K Uma | 012021RSMA000543 | Computational Astronomy | 01 | -- |
| Sl.No. | Name of the Research Scholar | Name of Guide | Title of the Research | Research Area | Status (Thesis Submitted/ Viva Voce/ Course Work Completed) |
| 1 | Shuba R.N | Dr. Jayalakshmma D.V | Nano Fluid flow in Different Geometries | Fluid Mechanics | Comphrensive Viva Voce Completed |
| 2 | Chetana M.B | Dr. S.K Uma | Mathematical Analysis of Indian Astronomical Tables | Astronomical Tables | Comphrensive Viva Voce Completed |
| 3 | Vasudha D.K | Dr. Sreekala C.K | Theoretical Analysis of Slip Velocity and non newtonian fluid effect on lubrication of bearings | Computational Fluid Dynamics | Doing Course work |
Facilities
- The Department of Mathematics is a recognized VTU Research Centre for the Ph.D programme.
- Many scholars are engaged in research, leading to Ph.D, Degrees.
- Three faculty members are pursuing Ph.D. at present.
Publications
- — Statistical Analysis of Magnetohydrodynamic Darcy–Forchheimer Sisko Hybrid Nanofluid Flow over a Bilinear Stretching Sheet with Heat and Mass Transfer Effects, Journal of Thermal Engineering (Q3), 12(6), July 2026.
- — Computation of gyrotactic bioconvective ternary Williamson hybrid nanofluid non-Fourier transport from a cylinder to a porous medium with radiative and activation energy effects, Journal of Thermal Analysis and Calorimetry (WOS, SCI, Q2), July 2026.
- — Effects of Nanoparticle Form on Heat Source/Sink and Nonlinear Convection in Non-Darcy Porous Media, AIP Conference Proceedings, 3289, 030010, 1–10, July 2026 (SCOPUS).
- — Linear Stability Analysis of a Rotating Dielectric Fluid Layer under Time-Periodic Electric Field Modulation, Journal of Engineering Mathematics, 156, 3 (2026).
- — Linear Stability Analysis of Electroconvection in a Polarized Dielectric Porous Layer with Couple Stresses under a Sinusoidally Time Varying Electric Potential, Materials Physics and Mechanics, 54(1), 73–84 (2026).
- — Numerical Modeling of Magneto-Thermo-Solutal Casson Fluid Flow over an Exponentially Stretching Sheet Using Taylor Wavelets, Research in Mathematics, 13:1, 2673645.
- — Modeling of MHD Triple-Diffusive Flow over a Stretching/Shrinking Sheet Embedded in a Porous Medium, Annali dell'Università di Ferrara, 72:68 (2026).
- — A Study of Subject Allocation to Faculties in Colleges as a Quadratic Assignment Problem, Journal of Information and Optimization Sciences.
- — A Statistical Analysis of the Non-Newtonian Nanofluid Flow Model in a Single-Phase Squeezing Channel, International Journal of Applied and Computational Mathematics (Q3, SCI), 11, article 182, Aug 2025.
- — Three-Dimensional MHD Flow and Heat Transfer of Water-Based Nanofluids over a Stretching Surface with Coriolis Force and Thermal Effects, East European Journal of Physics (Q3), Nov 2025.
- — Statistical Analysis of Heat Transfer in Hybrid Nanofluids over a Rotating Vertical Cone in a Porous Medium under Magnetic Radiative and Slip Effects, Journal of Mines, Metals and Fuels (Q4), Nov 2025.
- — Modeling Joule Heating in Magnetized Porous Structures Using Statistical Techniques, Mechanics of Time-Dependent Materials (Q2, SCI), 29, article 59, June 2025.
- — Three-Dimensional Heat Transfer in Radiative Oldroyd-B Nanofluid Flow with Irregular Heat Source and Activation Energy Effects, International Journal of Applied and Computational Mathematics (Q3, SCI), 11, article 110, May 2025.
- — Thermal Radiation Effect on the Maxwell Graphene Based Nanofluid Passing through a Squeezing Channel, Numerical Heat Transfer, Part B: Fundamentals (Q2), 86(1), 2025.
- — Analysis of a Queue Subject to Discouraged Arrivals, Customer Impatience, and Self-Switching Server Dynamics, Contemporary Mathematics (Singapore), 6(3), 2738–2751, 2025.
- — The Onset of the Darcy-Ferroconvection Flow Model in a Couple Stress Fluid Subjected to a Time-Periodic Magnetic Field, Computer Research and Modeling, 17(2), 213–223 (2025).
- — Ferrohydrodynamic Instability of a Viscoelastic Magnetic Fluid Layer under the Influence of Time-Varying Magnetic Field, Bulletin Irkutsk State University: Series Mathematics, 51, 34–49 (2025).
- — Influence of Viscosity Changes on Magneto-Hydrodynamic Squeeze Film Lubrication between Rough Circular Plates Using Couple-Stress Fluid, Journal of Information Systems Engineering and Management, 10(42s), 2468–4376, 2025.
- — Influence of Viscosity Changes on the MHD Squeeze Film Lubrication Using Couple Stress Fluids between Circular Plates, International Journal of Environmental Sciences, 11(22s), 3997–4008, 2025.
- — Analysis of a Markovian Queue of Single Server Performing in Multi-Phase Subject to Disaster, Recovery and Repair, Contemporary Mathematics (Singapore), 5(4), 5012–5026, 2024.
- — Nonlinear Convection and Radiative Heat Transfer in Kerosene-Alumina Nanofluid Flow Between Two Parallel Plates with Variable Viscosity, Journal of Nanofluids (Q2, ESCI), 13(5), 1055–1062, Oct 2024.
- — Heat Transfer in 3D Radiative Oldroyd-B Fluid Flow with Irregular Heat Source and Activation Energy, International Journal of Ambient Energy (Q2), 45(1), June 2024.
- — Effect of Time-Dependent Sinusoidal Electric Field on the Onset of Electroconvection in a Viscoelastic Fluid Layer, Condensed Matter Physics, 27(4), 43702 (2024).
- — Impact of Modulated Magnetic Field on the Advent of Ferroconvection in a Permeable Medium, Turkish World Mathematical Society Journal of Applied and Engineering, 14(3), 1152–1165 (2024).
- — Maxwell-Cattaneo Law of Heat Conduction Through Porous Ferroconvection with Magnetic Field Dependent Viscosity, Turkish World Mathematical Society Journal of Applied and Engineering, 14(4), 1722–1735 (2024).
- — Study of MHD SWCNT-Blood Nanofluid Flow in Presence of Viscous Dissipation and Radiation Effects through Porous Medium, Journal of the Nigerian Society of Physical Sciences (Q3), Feb 2023.
- — MHD and Cross-Diffusion Fluid Flow for Free Convection of Casson Fluid Due to a Stretching Cylinder, Journal of Mines, Metals & Fuels, 71(12), 2741 (2023).
- — Onset of Electroconvection in a Compactly Packed Dielectric Liquid-Permeable Layer with a Modulated Electric Field, Journal of Physical Studies, 27(1), 1401 (2023).
- — Thermomagnetic Ferroconvection in an Anisotropic Permeable Layer Exposed to a Modulated Magnetic Field, International Journal of Mathematics and Physics, 13(2), 58–67 (2023).
- — Anisotropic Darcy–Brinkman Magnetic Fluid Convection under the Influence of a Time-Dependent Sinusoidal Magnetic Field, Ukrainian Journal of Physics, 68(11), 730–739 (2023).
- — Effect of Magnetic Field Modulation on Bénard–Taylor Ferroconvection, Journal of Physical Studies, 27(4) (2023).
- — A Study on Two-Warehouse Inventory Systems with Integrated Multi-Purpose Production Unit and Partitioned Rental Warehouse, Mathematics, 11(18), 3986 (2023).
- — Magnetohydrodynamics and Viscosity Variation in Couple Stress Squeeze Film Lubrication between Rough Flat and Curved Circular Plates, Scientific Reports, 13(1), 22960 (2023).
- — Significance of Axisymmetric Flow of Casson Darcy Unsteady Slip Flow in a Suspension of Nanoparticles with Contracting Walls, Journal of Nanofluids (Q2, ESCI), June 2022.
- — Free Convection of an Electrically Conducting Fluid in a Micro-Channel with Super-Hydrophobic Slip Condition, Songklanakarin Journal of Science and Technology (Q3), May 2022.
- — Channel Flow of a Jeffrey Fluid in a Porous Space with Entropy Generation, Heat Transfer (Q2), Apr 2022.
- — Effect of Electric Field Modulation on the Onset of Electroconvection in a Couple Stress Fluid, East European Journal of Physics, 4, 104–111 (2022).
- — Effect of Electric Field Modulation on the Onset of Electroconvection in a Dielectric Fluid Anisotropic Porous Layer, Journal of Computational Applied Mechanics, 53(4), 510–523 (2022).
- — Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Maxwell Cattaneo Law, East European Journal of Physics, 4, 112–117 (2022).
- — Ferrohydrodynamic Instability of a Couple Stress Magnetic Fluid Layer Under the Influence of Time-Dependent Sinusoidal Magnetic Field, Iraqi Journal of Applied Physics, 18(4), 15–19 (2022).
- — A Two Phase Age Dependent and Two-Mutation Stochastic Model of Carcinogenesis, Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 12(4), 1512–1525 (2022).
- Rudresha C., Balaji C., Vidya Shree V., Maruthamanikandan S., “Effect of Electric Field Modulation on Electroconvection in a Dielectric Fluid-Saturated Porous Medium” Journal Mines Metals and Fuels, 70(3A), 35–41 (2022).
- Vidya Shree V., Rudresha C., Balaji C., Maruthamanikandan S., “Effect of MFD Viscosity on Ferroconvection in a Fluid Saturated Porous Medium with Variable Gravity” Journal of Mines, Metals and Fuels, 70(3A), 98–103 (2022).
- Balaji C., Rudresha C., Vidya Shree V., Maruthamanikandan S., “Ferroconvection in a Sparsely Distributed Porous Medium with Time-Dependent Sinusoidal Magnetic Field” Journal of Mines, Metals and Fuels, 70(3A), 28–34 (2022).
- Dora Pravina, C.T., Kamala, P., Sreelakshmi, S., Kanagajothi, D., Shanmugapriya, R. (2025). “Evaluation of Multiple Phases of the Server in the Simple Queue, Subject to Customer Impatience”, In: Pal, S., Rocha, Á. (eds) Proceedings of 4th International Conference on Mathematical Modeling and Computational Science. ICMMCS 2025. Lecture Notes in Networks and Systems, vol 1398. Springer, Cham. https://doi.org/10.1007/978-3-031-90998-6_37
- Shuba R. N., Jayalakshmamma, D. V., Dinesh, P. A., Sushma, T. C., & Sushma, S. Dual Solution for a Non-Uniform Heat Source/Sink and Quadratic Drag Effect on MHD Nanofluid Flow. In Applied Research in Engineering Sciences(pp. 379-383). CRC Press.
- S.Sreelakshmi, Dr. J. Vijayarangam, Dr. Charudatta Dattatraya, Applied Mathematics for Real World Problems, Cosmas, ISBN 978-93-6096-351-4, 2026.
- Participated as a Resource Person in “One Week SDP on Essentials of MATLAB” in hybrid mode organized by Department of UG, PG Studies and Research in Mathematics, Nrupathunga University, Bengaluru, Karnataka. 10 – 15 July, 2023.
- Participated as a Resource Person in “One Week SDP on Essentials of MATLAB” in hybrid mode organized by Department of UG, PG Studies and Research in Mathematics, Nrupathunga University, Bengaluru, Karnataka. 22 – 29 September, 2022.
- Attended as a Trainer a One-Day Workshop on “Construction of Convex Polyhedra Models” organized by P. G. Department of Mathematics and Research Centre in Applied Mathematics, M. E. S. Degree College of Arts, Commerce and Science, Malleswaram, Bengaluru, Karnataka. 21 February, 2019.
- Presented research paper titled “Effect of Constant Heat Source on Marangoni Convection in Adiabatic-Isothermal Composite Layer” in One Day International Conference” held at Department of UG, PG Studies and Research in Mathematics, Govt. Science College (Autonomous), Bengaluru, Karnataka. 6th September 2019.
- Presented poster tittle “Convective Instability of a Dielectric Fluid Saturated Densely Packed Porous Medium with Electric Field Modulation” in the “International Conference on Advanced Materials for Energy and Environmental Applications (ICAMEEA-2020)” organized by the Department of Chemistry, School of Science and Humanities, BIST, BIHER, sponsored by TNSCST & in association with INHA University, South Korea & RSC South India Chapter, 3rd and 4th of December-2020.
- Presented Research paper tittle “Thermal Convection in A Dielectric Fluid with Electric Field Modulation Using Regular Perturbation Method” in the “International Conference on Recent Trends in Applied and Computational Mathematics” organized by Reva University, Bengaluru, India, 4th and 5th of December-2020.
- Presented Research Paper tittle “Darcy-Brinkman Convection in Dielectric Fluid Saturated Porous Medium with Time-Dependent Sinusoidal Electric Field” in the “4th International Conference on Current Scenario in Pure and Applied Mathematics (ICCSPAM2021)” organized by Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India, 29th and 30th of January 2021.
- Presented poster tittle “Electroconvection in A Rotating Dielectric Fluid With Electric Field Modulation” in the “International Conference on Advances in Applied and Computational Mathematics (ICAACM – 2021)” organized by the Department of Mathematics & Statistics, School of Basic Sciences, Manipal University, Jaipur. September-2021.
- Presented research paper tittle “Effect of Electric field Modulation on the Onset of Electroconvection in a Densely Packed Anisotropic Porous Layer” in the “The 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM- 2021)”, Department Mathematics, Sant Longowal Institute of Engineering & Technology, Longowal-148106 (Punjab), India. December-2021.
- Presented research paper title “Effect of Electric Field Modulation on Electroconvection in a Dielectric Fluid-Saturated Porous Medium” in the AICTE Sponsored 3rd National Conference on “Recent Advancements in Mechanical Engineering and Allied Fields (RAMEAF)”, Department Mechanical Engineering, Sir M Visvesvaraya Institute of Technology, Bengaluru 562 157. December-2021.
- Presented research paper title “Effect of Electroconvection in a Saturated Anisotropic Porous Layer with Time Dependent Sinusoidal Electric Field” at the “International Conference on Modelling, Simulation and Optimization of Energy Systems (MSOES 2023)” held at Canadian University Dubai, UAE and Dr B. R. Ambedkar National Institute of Technology Jalandhar, Punjab, India, during June 17-18, 2023.
- Presented research papers titled “Dual solution for a non-uniform heat source/sink and quadratic drag effect on MHD Nanofluid flow” and “Combined Effects of chemical reactions and solutal thermo cross diffusion over stretching flow with MHD study” at the 2nd International Conference on Applied Research in Engineering Sciences-(ICARES-2025) held on 20th & 21st February 2025 at Ramaiah Institute of Technology, Bengaluru.
- K Rupa, S K Uma, Padmaja Venugopal , S Balachandra Rao, “REFERENCES TO “PARALLEL ASPECTS" IN INDIAN ASTRONOMY AND INSCRIPTIONS” Journal of Astronomical History and Heritage, (JAHH)26(2), 400–404 (2023). VOLUME 26 JUNE 2023DOI : https://doi.org/10.3724/SP.J.1440-2807.2023.06.34
- Padmaja Venugopal , K Rupa, S K Uma, S Balachandra Rao, “THE EQUATION OF THE CONJUNCTION (ŚĪGHRAPHALA) OF THE PLANETS IN CLASSICAL INDIAN ASTRONOMY” Journal of Astronomical History and Heritage, (JAHH)26(3), 637–658 (2023) VOLUME 26 October 2023 DOIDOI:https://doi.org/10.3724/SP.J.1440-2807.2023.09.64
- Uma S K published a paper on “References To ‘Parallel Phenomenon’ In Indian Astronomy and Inscriptions” https://www.sciengine.com/JAHH/homeVOL 26(2), 400–404 ISSN: 1440-2807 | Scopus Impact Factor (2022): 0.94 in JUNE 2023
- Chaya T Y published a paper on “Deep Learning for Image Improvement in Low Light” e-ISSN: 2320-9801, p-ISSN: 2320-9798 www.ijircce.com Impact Factor: 8.379 Volume 11, Issue 7DOI: .15680/IJIRCCE.2023.1107013 in July 2023
- Aravind P N published a paper on “Enhancing Learning with API Integration Using ReactJS :Building Powerful Educational Solutions” e-ISSN:2319-8753,p-ISSN:2320-6710 www.ijirset.com IMPACT Factor:8.423Volume 12,Issue 7DOI:10.15680/IJIRSET.2023.12070038 in July 2023
- Ms Malashri S published a paper on “Customized Resource Developer Using Amazon S3” ISSN:2582-7219 www.ijmrset.comIMPACT Factor:7.54Volume 6,Issue 7 in July 2023
- Uma S K published a paper on “IMPORTANCE OF BHĀSKARA’S KARAṆAKUTŪHALA AS AN ALGORITHMIC HANDBOOK” ISSN 1440-2807Impact facor 0.94Scopus and Web of Science – ESCI With quartile Q1 VOLUME 25 NUMBER 4 DECEMBER 2022
- Uma S K published a paper on “Indian astronomical tables – a study with special reference to Makarandasārinī” CURRENT SCIENCE vol. 122, no. 4, 25, p.402-403 Feb 2022
- Uma S K published a paper on “A Comparative Study of Pratibhāgi Gaṇitam and Tyāgarti Manuscript Grahagaṇita-Padakāni “ Samīkşikā Series-16, History and Development of Mathematics in India, National Mission for Manuscripts,IGNCA,New Delhi-110001 ISBN:978-93-80829-70-8 p. 17-32
- Uma S K published a paper on “Gaṇakānanda-Indian Astronomical Table” Samīkşikā Series-16, History and Development of Mathematics in India, National Mission for Manuscripts,IGNCA,New Delhi-110001 ISBN:978-93-80829-70-8, p. 57-72
- Uma S K published a paper on “MAKARANDASᾹRIṆῙ- Some Special Features” Samīkşikā Series-16, History and Development of Mathematics in India, National Mission for Manuscripts,IGNCA,New Delhi-110001 ISBN:978-93-80829-70-8 p. 101-134
- Uma S K; Venugopal, Padmaja; Rupa, K and Rao, S Balachandra, Diameters (Bimbas) of the Sun, Moon And Earth’s Shadow-Cone in Indian Astronomical Texts, with special reference to the Makarandasāriṇῑ And the Gaṇakānanda , JAHH, Heritage, 24(2), 159–169 (2021).
- T. Y, et al. Double –diffusive penetrative convection in a fluid overlying a porous layer, International Journal Of Transportation Science and Technology (volume 9, Issue 1, Paper No. 090103), 12th Nov, 2021.
- T. Y, et al. Linear And Non-Linear Gravity Field Variation On Double Diffusive Convection In A Porous Layer, LNME (Springer), June,2021.
- Chaya .T. Y, et al. Combined Impact Of Internal Heating And Variable Viscosity On The Onset Of Benard - Marangoni Double Diffusive Convection In A Binary Fluid Layer,IJMPERD, ISSN (P): 2249–6890, ISSN (E): 2249–8001, 2nd, Apr 2020.
- T. Y, et al. Bernard-Marangoni Penetrative Double Diffusive Convection in a Binary Fluid Layer with Variable Viscosity, International Journal of Mechanical and Production Engineering Research and Development , Vol.10,2,2020,385-396,(Scopus Indexed Journal ).
- Gangadharaiah Y.H et al. Marangoni Convection in Superposed Fluid and Anisotropic Porous Layers with Throughflow. Malaya Journal of Matematik vol.8, 3, 845-851,2020, (UGC Approved Journal).
- Gangadharaiah Y.H and Ananda K. Influence of viscosity variation on surface driven convection in a composite layer with a boundary slab of finite thickness and finite thermal conductivity. JP Journal of Heat and Mass Transfer. vol.4, 2, 2020 (Scopus Indexed Journal).
- Gangadharaiah Y.H et al. Effects of Variable Internal Heat Source and Variable Gravity Field on Convection in a Porous Layer. Malaya Journal of Matematik8, 3, 2020(UGC ApprovedJournal).
- Gangadharaiah Y.H and Chaya T.Y. Combined Impact of Internal Heating and Variable Viscosity on the onset of Bernard-Marangoni Double Diffusive Convection in a Binary Fluid Layer. International Journal of Mechanical and Production Engineering Research and Development Vol. 10, 2, 2020, 385-396,(Scopus Indexed Journal).
- Gangadharaiah Y.H et al. Combined impact of Variable Internal Heat Source and Variable Viscosity on the onset of Convective Motion in a Porous Layer. Malaya Journal of Matematik vol.8, 3,2020, (UGC Approved Journal).
| Sl No | Title of the patent. | Patent Application No | Status of Patent (Published / Granted) | Inventor/s Name | Applicant/s Name | Patent Filed Date (DD/MM/YYYY) | Patent Published Date / Granted Date (DD/MM/YYYY) | Patent Issue No / Patent Granted Number (Certificate Number) |
| 1 | PEN - PASS | 202441048784 | Published | Balaji C | Balaji C; Rudresha C; Vidya Shree V; Maruthamanikandan S | 25.06.2024 | 05/07/2024 | Indian Patent Office, Issue No. 27/2024 |
| 2 | Two-in-one Mechanical Pencil | 202441071878 | Published | Balaji C | Balaji C; Rudresha C; Vidya Shree V; Maruthamanikandan S | 23.09.2024 | 04/10/2024 | Indian Patent Office, Issue No. 40/2024 |
| 3 | MATHEMATICS TEACHING KIT | 422950-001 | Registered (Design) | S. Sreelakshmi | S. Sreelakshmi; Rudresha C.; Balaji C. | 11.07.2024 | 27/12/2024 | Designs Act, 2000 and Design Rules, 2001; Registration No. 422950-001 |
| 4 | Dual Functioning Umbrella with water Bottle | 459463-001 | Registered (Design) | D. Umadevi | D. Umadevi; Sneha S.; Sharmada U.; Rudresha C.; Roopashree M | 20/05/2025 | 20/08/2025 | Designs Act, 2000 and Design Rules, 2001; Registration No. 459463-001 |
| 6 | Discrete Mathematics Learning Digital Pad | 472756-001 | Granted | S. Sreelakshmi | S. Sreelakshmi Mr.S.Ananthanarayan | 08.09.2025 | 05.12.2025 | Indian Patent Office, Issue No. 49/2024 |
| 7 | An AI-Based Adaptive Mathematics Tutoring System | 202641064382 | Published | S. Sreelakshmi | S. Sreelakshmi SIR MVIT | 07.05.2026 | 22.05.2026 | Indian Patent Office, Issue No. 21/2026 |
| 8 | An Intelligent System and Method for Optimizing Fluid Flow in Superhydrophobic Channel Systems using Predictive Modeling | Application No. 202641083868 A. | Published | Dr. Mani Ramanuja, | Dr. Naresh Kumar, Dr. Mani Ramanuja, Dr. Supriya Kumar Paul, Dr. V.Naga Radhika, | 08-07-2026 | 17-07-2026 | Indian Patent Office, Issue No. 7/2026 |
The Department of Mathematics, Sir M. Visvesvaraya Institute of Technology, in association with the Institution’s Innovation Council (IIC) and other academic and institutional partners, has organized a series of academic, skill-development, innovation and technology-oriented events to provide students with opportunities for experiential learning, professional development, innovation and entrepreneurship.
Workshop on “Data-Driven Innovation: Probability & Data Science with R for Engineers”
The Department of Mathematics, in association with the Institution’s Innovation Council, organized a workshop on “Data-Driven Innovation: Probability & Data Science with R for Engineers.” The programme was conducted on 27 November 2024 at the Mathematics Lab (Room No. B211) from 9:30 AM onwards. The session was led by Dr. Shikhar Tyagi, Christ (Deemed to be University), Bengaluru. The workshop focused on the application of probability, data science and the R programming environment in engineering contexts, providing students with an opportunity to understand data-driven approaches and their practical applications. The programme was organized under the mentorship of Dr. S. Sreelakshmi, Professor & Head, Department of Mathematics, with Dr. Rudresha C. as Coordinator and faculty and department coordinators supporting the event.
National Mathematics Day – “Legacy of Genius: Ramanujan Math Event
The Department of Mathematics, in association with the Institution’s Innovation Council, organized National Mathematics Day – “Legacy of Genius: Ramanujan Math Event” to celebrate the contributions of the legendary Indian mathematician Srinivasa Ramanujan. The event was conducted on 3 January 2025 at Sai Vidya Mandir, Bettahalsur, from 10:00 AM onwards. The programme aimed to create awareness and enthusiasm towards mathematics among students and to highlight the importance of mathematical thinking, problem-solving and the legacy of Srinivasa Ramanujan. The event was organized under the mentorship of Dr. S. Sreelakshmi, Professor & Head, Department of Mathematics, with Ms. Malashri S. and Dr. Rudresha C. as Coordinators.
Session on “Innovation/Prototype Validation – Converting Innovation into a Start-up”
The Department of Mathematics, in association with the Institution’s Innovation Council and Sutantra, organized a session on “Innovation/Prototype Validation – Converting Innovation into a Start-up.” The session was conducted on 22 August 2025 at the CSE Seminar Hall from 10:00 AM onwards. The resource person was Mr. Suresh Rowwrey, CEO – MeridianMac UAE, India. The session focused on the journey from innovation and prototype development towards start-up creation. Students were exposed to the importance of validating innovative ideas, understanding market requirements and exploring opportunities for entrepreneurship and commercialization.
Three-Day Session – “Unboxed: Unlocking Potential, Shaping Futures”
“INFINITY 2.0 – Ananta 9.0”
The Department of Mathematics organized “INFINITY 2.0 – Ananta 2.0”, an activity designed to promote student engagement and interest in mathematics through an interactive and competitive platform. The event was conducted on 12 November 2025 at B209 (Science Block) at 1:30 PM. The programme was organized under the mentorship of Dr. S. Sreelakshmi, Professor & Head, Department of Mathematics, with Ms. Malashri S. and Dr. Rudresha C. as Coordinators. The event encouraged students to participate actively, demonstrate their mathematical thinking and enjoy learning mathematics through an engaging format.
Expert Talk on “Technology Readiness Level (TRL), MRL, IRL, IP Commercialization, Tech-Transfer”
The Department of Mathematics, in association with the Institution’s Innovation Council, organized an expert talk on “Technology Readiness Level (TRL), MRL, IRL, IP Commercialization, Tech-Transfer.” The programme was conducted on 24 December 2025 at the CSE Seminar Hall from 9:30 AM onwards. The resource person was Mr. Suresh Rowwrey, CEO – MeridianMac UAE, India. The expert talk provided exposure to technology readiness, maturity assessment, intellectual property commercialization and technology transfer. The session helped students understand the pathway from research and innovation towards practical implementation and commercialization. The programme was conducted under the mentorship of Dr. S. Sreelakshmi, Professor & Head – Mathematics, with Dr. Rudresha C. and Ms. Niveditha C. N. as Coordinators.
National Technology Day – 2026
The Department of Mathematics, in association with the Institution’s Innovation Council, celebrated National Technology Day – 2026 with the theme: “Empowering India Through Technology & Innovation” The event was conducted on 11 May 2026 at the CSE Seminar Hall. The resource person was Mr. S. Kumar, Vice President – Technical & Business Development, TMI Systems. The programme emphasized the importance of technology and innovation in India's development and encouraged students to explore technological solutions, innovation and future-oriented opportunities. The event was organized under the mentorship of Dr. S. Sreelakshmi, Professor & Head – Mathematics, with Dr. Rudresha C. and Ms. Niveditha C. N. as Coordinators, supported by the faculty coordinators of the Department of Mathematics and the Institution’s Innovation Council.
National Education Policy (NEP) Day – 2026 Celebrated at Sir MVIT
The Institution’s Innovation Council (IIC), in association with the Department of Mathematics, Sir M. Visvesvaraya Institute of Technology, celebrated National Education Policy (NEP) Day – 2026 on 29 July 2026 at the Marconi Seminar Hall. The programme was organized around the theme “Transforming Higher Education through NEP 2020”, with emphasis on Innovation, Skill Development, Entrepreneurship and Holistic Learning. The programme featured Mr. Arunachalam Karthikeyan, Head – iMOVE Representation India (Germany) and Senior Advisor – NSDC International, Government of India, as the resource person. The session highlighted important dimensions of NEP 2020, including learner-centric education, holistic and multidisciplinary learning, technology-enabled education, skill development and employability, and equity and inclusion. The programme provided students and faculty members with an opportunity to understand the role of NEP 2020 in transforming higher education and preparing learners for a knowledge-driven future. The event was organized under the mentorship of Dr. S. Sreelakshmi, Professor & Head, Department of Mathematics. Dr. Rudresha C. and Ms. Niveditha C. N. served as Coordinators, with the support of the faculty coordinators of the Department of Mathematics and members of the Institution’s Innovation Council. The programme concluded with an emphasis on empowering young minds through innovation, skill development, entrepreneurship and holistic learning, in alignment with the objectives of NEP 2020.
Research Methodology and Pedagogy for Academic Excellence”- 9th March to 10th March 2026
The Department of Mathematics, Sir M. Visvesvaraya Institute of Technology, organized a Six-Day Faculty Development Programme on “Research Methodology and Pedagogy for Academic Excellence”, from 9th March to 10th March, 2026(Online mode). Prof. Sarvesh Chandra, Retired Professor, Civil Engineering Department, IIT Kanpur – INDIA, Prof. Gopal R Rao, AAAS Fellow(2019), Consulting Editor, Materials Research Society, Wexford, Pennsylvania, United States, Dr. M. Anita Indu, Assistant Professor and Research Counselor member, Department of Computer Science, SSS Shasun Jain College for Women, Chennai, Dr. Dinesh P.A ,Professor and Dy Controller of Examinations, Department of Mathematics, MSRIT, Bengaluru, Dr. Prashanth G.K, Associate Professor and Head, Dept. of Chemistry, SIRMVIT, Bengaluru, Prof. Ratnakaram Venkata Nadh, Professor, Department of Chemistry, GITAM Deemed to be University – Bengaluru were the resource persons. The FDP contributed significantly to improve teaching quality, research productivity, and academic excellence among faculty members, research scholars and students. The event was organized under the mentorship of Dr. S. Sreelakshmi, Professor & Head, Department of Mathematics. Dr. V. Nagaradhika, Dr. Chaya T. Y, Ms. Shuba R. N. and Ms. Niveditha C. N. served as Coordinators, with the support of the faculty coordinators of the Department of Mathematics.
“Through knowledge, innovation and continuous learning, the Department of Mathematics strives to empower students to become confident professionals and responsible contributors to a knowledge-driven society.”
