Department

Department of Mathematics

Dr. S.K.Uma
Professor & HOD

The Department of Mathematics established in the year 1986 and currently headed by Prof. Dr.S.K Uma. Over the years the department has evolved into a team of nine well qualified, experienced faculty members comprising two doctorate holders and three 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
  • 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.
  1. To provide a degree course suitable for students enabling them to apply the concepts of mathematics to students.
  2. To prepare students for further study and in preparing successful career in industry and R&D organization.
  3. To provide students with knowledge of mathematics and in preparing successful career in industry and R&D organization.

Name

Qualification

Designation

Dr. S.K.Uma M.Sc., Ph.D. Professor & HOD
Ms. S. Uma M.Sc. Associate Professor
Ms. 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
Ms. Sai Shreeya Anwesha --- Assistant Professor
Dr. Anitha S. M.A, PGDET, Ph.D Assistant Professor
  • 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.
  • The department has produced excellent results consistently and every year a good number of students are scoring cent percent.
  • The faculty members of the department are actively involved in various research activities such as guiding research scholars, publishing papers, executing funded projects, arranging and attending conferences and workshops.
  • The faculty members of the Department are actively engaged in research work and have published more than 50 papers in various National/International conferences and refereed journals
  • Faculty members have authored various textbooks on Engineering Mathematics and Indian mathematics and astronomy

Dr. Gangadharaiah Y.H authored two books published recently.

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).

2019

  • K. Uma et al. The Concepts of Deśāntara and Yojana  in Indian Astronomy, Journal of Astronomical History and Heritate ,  22(3), 401-406 (2019)
  • Gangadharaiah Y.H has authored a text book titled - Mathematical Modelling  & Engineering Problem Solving, Advance Academic Publisher-2019 ISBN: 978-93-87396-21-0
  • Gangadharaiah Y.H has authored a text book titled - Engineering Mathematics-2 vol-1, Educreartion Publication india-2019, ISBN: 989-35-3731-20-5
  • Gangadharaiah Y.H. has authored a text book titled -  Engineering Mathematics-4 vol-1, Educreartion Publication india-2019,ISBN: 978-93-89534-87-9
  • Gangadharaiah Y.H and Ananda K.  Bounds on Rayleigh-Benard-Marangoni convection in a composite layer with conducting plates, International Journal of Scientific Research  in Computer Science, Engineering and Information Technology  4, 9, 2019.

2018

  • K. Uma et al. Ahargana according to Makarandasāriņī and other Indian Astronomical Texts. Indian Journal Of Hostory of Science, 53 (1), pp 16-32 I.N.S.A. New Delhi 2018
  • K. Uma et al. Solar Ingress (Sankrānti) According to Makarandasāriņī And Other Indian Astronomical    texts,   Journal of Astronomical History and Heritate 21 (2 and 3), 202-210 (2018)
  • Gangadharaiah Y.H. Effect of Cross Diffusion on the Onset of Double Diffusive Marangoni Convection in a Fluid Layer. Journal of Advanced Research in Applied Mechanics & Computational Fluid Dynamics, 4 (3), 2018 (UGC Approved  Journal).

2017

  • Gangadharaiah Y.H has authored a text book titled -  Engineering Mathematics-1 vol-1, S.Chand Publication Delhi-2017, ISBN: 978-93-52830-70-1
  • Gangadharaiah Y.H. has authored a text book titled -  Engineering Mathematics-3 vol-1, S.Chand Publication Delhi-2017, ISBN: 978-93-52534-64-7
  • Gangadharaiah Y.H  Onset of Darcy–Benard Penetrative Convection in Porous Media, International Journal of Applied fluid mechanics. Vol.10(2),  2017. (Scopus & web of science  Indexed  Journal).
  • Gangadharaiah Y.H  Combined Effect of Magnetic field and Internal Heat Generation on the Onset of Marangoni Convection. International Journal of Fluid Mechanics & Thermal Sciences. Vol.3(4),  2017.
  • Gangadharaiah Y.H  Influence of Throughflow Effects Combined with Internal Heating on the Onset of Convection in a Fluid Layer. Journal of Advanced Mathematics and Applications. Vol.6 (3), 1-7 (2017).
  • Gangadharaiah Y.H  Review of Mathematical Approach to Engineering Problems. American Journal of Computer Science and Applications. Vol.6 (3), 1-3 (2017).

2016

  • Gangadharaiah Y.H and Ananda K.   Applications of Laplace Transforms in Engineering and Economics. International Journal of Trend in Research and Development, Vol 3 (1), 2016.
 

Principal Investigator: Dr. S. K. Uma

Title of Project

Name of Funding Agency

Date of Sanction

Amount Sanctioned

Status Ongoing/ Completed

English Exposition, A Critical Analysis and Comparison with Other Indian Astronomical Tables INSA November 2015-2018 5.25 lakhs Completed in 2018
Tithicintāmaṇi of Ganeśa Daivajña – Translation and Mathematical Analysis” INSA August 2019 2.5 lakhs On going
RESEARCH SCHOLARS DETAILS
Sl.No Name of the Candidate USN Year Of Registration Research Centre Name of Guide Status of PhD/Research work (Cleared entrance/Completed Course work/ Comprehensive viva/ Submitted thesis etc)
1 Chayaty 1MV13PGN02 Oct 2013 Department of Mathematics, NHCE Dr. Gangadharaiah Y. H. In process of thesis submission
2 Chetana M Banuvalli 1MV17PGA01 May 2017 Department of Mathematics,  Sir MVIT Dr. S K Uma Completed course work
3 Mamatha V 1MV19PMA01 June 2019 Department of Mathematics, Sir MVIT Dr. Gangadharaiah Y. H. Doing coursework
4 Shuba R N 1VI17PGA02 Feb 2017 Department of Mathematics. Vemana Institute of Technology Dr. Jayalakshmamma D V Course work completed

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