• To achieve academic excellence in Mathematics thus enabling students to have enhanced opportunities in the field of Mathematics and Engineering.

• 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.

• 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).

• Gangadharaiah Y.H and Ananda K.  Influence of Vertical Magnetic Field on the Onset of Rayleigh-Benard-Marangoni Convection in Superposed fluid and Porous Layers with Deformable Free Surface International Journal of Scientific Research in Mathematical and Statistical Sciences,5(5), 2018 (UGC Approved  Journal).
• Gangadharaiah Y.H and Ananda K.  Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness, International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5 (5), 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. Onset of Benard–Marangoni Convection in a Composite Layer with Anisotropic Porous Material , International Journal of Applied fluid mechanics. 3 (9), 2016. (Scopus & web of science  Indexed  Journal).

• 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