Department of Mathematics

Department of Mathematics

Dr. S.Sreelakshmi
Professor & HOD

The Department of Mathematics established in the year 1986 and currently headed by Prof. Dr.S.Sreelakshmi. Over the years the department has evolved into a team of fifteen well qualified, experienced faculty members comprising four doctorate holders and seven pursuing Ph.D. programme. As a result of its continuous, sincere and result oriented efforts as a team, the department has been witnessing excellent results consistently and every year a good number of students are scoring cent percent. The Department of Mathematics is mainly involved in teaching activities for UG / PG Programmes. Faculty members are actively engaged in research work and have published more than 40 papers in various National/ International conferences and refereed journals and also authored various textbooks on Engineering Mathematics and Indian mathematics and astronomy. The Department of Mathematics is a recognized VTU Research Centre for the Ph.D. programme.

Vision and Mission
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, science, engineering fundamentals and an engineering specialization to the solution of complex engineering problems.
    • PO2: Problem Analysis: Identify, formulate, research literature and analyze complex engineering problems reaching substantiated conclusions using first principles of mathematics, natural sciences and engineering sciences.
    • PO3: Design/ Development of Solutions: Design solutions for complex engineering problems and design system components or processes that meet specified needs with appropriate consideration for public health and safety, cultural, societal and environmental considerations.
    • PO4: Conduct investigations: of complex problems using research-based knowledge and research methods including design of experiments, analysis and interpretation of data and synthesis of information to provide valid conclusions.
    • PO5: Modern Tool Usage: Create, select and apply appropriate techniques, resources and modern engineering and IT tools including prediction and modeling to complex engineering activities with an under- standing of the limitations.
    • PO6: The Engineer and Society: Apply reasoning informed by contextual knowledge to assess societal, health, safety, legal and cultural issues and the consequent responsibilities relevant to professional engineering practice.
    • PO7: Environment and Sustainability: Understand the impact of professional engineering solutions in societal and environmental contexts and demonstrate knowledge of and need for sustainable development.
    • PO8: Ethics: Apply ethical principles and commit to professional ethics and responsibilities and norms of engineering practice.
    • PO9: Individual and Team Work: Function effectively as an individual, and as a member or leader in diverse teams and in multi-disciplinary settings.
    • PO10: Communication: Communicate effectively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations and give and receive clear instructions.
    • PO11: Project Management and Finance: Demonstrate knowledge and understanding of engineering and management principles and apply these to owners own work, as a member and leader in a team, to manage projects and in multidisciplinary environments.
    • PO12: Life-long Learning: Recognize the need for and have the preparation and ability to engage in independent and life-long learning in the broadest context of technological change.
    Programme Educational Objectives
    • 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.(Ph.D.) Assistant Professor
    Ms. Malashri S. M.Sc. Assistant Professor
    Ms. Chetana M.B. M.Sc., Ph.D. Assistant Professor
    Ms. Vasudha D.K. M.Sc., Ph.D. Assistant Professor
    Mrs. LATHA Y L M.Sc., Ph.D. 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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