Department of Mathematics

Department of Mathematics

Dr. S.Sreelakshmi
Professor & HOD

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 the students with a strong Mathematical foundation which meets the requirement in the field of industry, research and higher education.
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
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
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 --
  Research Scholars Details
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
Journal Publications

2023

  • 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

2022

  • 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

International Journals:

2021

  • 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.

2020

  • 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).

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