Introduction
The department of Mathematics was established in the year 2007. Our mission is to make the Engineers develop the mathematical thinking and apply it to solve complex engineering problems, designing mathematical modeling for systems involving global level technology.
The department encourages inquisitiveness in a student throughout so that he would be able to understand the fundamentals of technology. Instigating the “research” in a student so that he could be an innovator or discoverer of tomorrow.
VISION
We strive to dominate our competitors consistently through innovative methods and constant efforts for the betterment of the student’s community, and enhance research in the department.
MISSION
- To provide all students with an education in Mathematics that will enable the students to face the fast changing world of Technology and Management, through in depth teaching of Mathematics to engineering students.
- Working as a vibrant and model department of excellence in imparting quality education in the areas of various domains of Mathematics.
- To pursue research and service in the area of mathematics.
Course Outcomes Click Here
Faculty
Dr. Jyothi S
Educational Qualification
Ph.D
Total experience
16 Years
Area of Interest
Applied Fluid Dynamics
Professional Memberships
- International Society for Research and Development
- The Indian Society for Technical Education
Workshops/FDP’S/SDP’S Attended
10
Conference/Journal Publications
- Jyothi S, Gangavathi P, M.V.Subbareddy, “HALL EFFECTS ON HYDROMAGNETIC FLOW OF A JEFFRY FLUID IN AN ASYMMETRIC CHANNEL WITH PERISTALSIS” – Journal of Advanced research in dynamical and control Systems, Vol 10, 15- Special issue, 2018, ISSN : 1943, Page: 336-345.
- Gangavathi P, M.V.Subbareddy, Jyothi S, “PERISTALTIC FLOW OF A CONDUCTING NEWTONIAN FLUID IN AN INCLINED CHANNEL UNDER THE EFFECT OF HALL CURRENT ” – International Journal of Engineering Research in Computer Science and Engineering , Vol 4, Issue 5, May 2017, ISSN : 2394-2320, Page: 105 – 109.
- Gangavathi P, M.V.Subbareddy, Jyothi S, “PERISTALTIC PUMPING OF A NEWTONIAN FLUID IN AN INCLINED ASYMMETRIC CHANNEL UNDER THE EFFECT OF MAGNETIC FIELD WITH VARIABLE VISCOSITY” – International Journal of Latest Technology in Engineering, Management & Applied Science Vol.5, Issue 3, April’ 2016; ISSN: 2278 – 2540, page : 56-62.
- Jyothi S, M.V.Subbareddy, Gangavathi P, “HYPERBOLIC TANGENT FLUID FLOW THROUGH A POROUS MEDIUM IN AN INCLINED CHANNEL WITH PERISTALSIS” – International Journal of Advanced Scientific Research and Management, Vol.1, Issue 4, April’ 2016; ISSN: 2455 – 6378, page : 113-121
- Jyothi S, M.V.Subbareddy, A.Ramakrishna Prasad, “EFFECT OF MAGNETIC FIELD ON THE PERISTALTIC FLOW OF A NEWTONIAN FLUID IN AN INCLINED TUBE WITH VARIABLE VISCOSITY: APPLICATION TO ADOMIAN DECOMPOSITION METHOD”– International Journal of Conceptions on Computing and Information Technology,Vol.2, Issue 1, Jan’ 2014; ISSN: 2345 – 9808, page : 32-37.
- “PERISTALTIC PUMPING OF A JEFFREY FLUID THROUGH A POROUS MEDIUM IN AN ASYMMETRIC CHANNEL WITH VARIABLE VISCOSITY” – presented in International conference on “Advances in Mathematical Sciences and Applications”- Adichunchanagiri Institute of Technology, Chikkamagalur, December 22-23, 2014.
- “EFFECT OF MAGNETIC FIELD ON THE PERISTALTIC FLOW OF A NEWTONIAN FLUID IN AN INCLINED TUBE WITH VARIABLE VISCOSITY: APPLICATION TO ADOMIAN DECOMPOSITION METHOD” – International conference on “Mathematics and Information Technology”, organized by WAIRCO on 15th and 16th March – 20 13 at Chennai.
- Jyothi S, A.Ramakrishna Prasad, M.V.Subbareddy, “PERISTALTIC FLOW OF A PRANDTL FLUID IN A SYMMETRIC CHANNEL UNDER THE EFFECT OF A MAGNETIC FIELD” , Pelagia Research Library- Advances in Applied Science Research – 3(4), 2012, ISSN 0976-8610, page: 2108-2119 Available online at www.pelagiaresearchlibrary.com
- Jyothi S, M.V.Subbareddy, A.Ramakrishna Prasad ,“PERISTALTIC PUMPING OF A FOURTH GRADE FLUId THROUGH A POROUS MEDIUM IN AN ASYMMETRIC CHANNEL”, International Journal of Mathematical Archive – 3(1) , 2012, ISSN 2229-5046, page:330-341.
- “NON-LINEAR PERISTALTIC PUMPING OF JOHNSON-SEGALMAN FLUID THROUGH A POROUS MEDIUM IN AN ASYMMETRIC CHANNEL ” International conference on fluid dynamics and its applications, Organized by Mathematics Depatment, BNMIT,Bengaluru, 20th July 2011.
Dr. Jyothi S
Professor & HOD
Mrs. Rashmi Praveen
Educational Qualification
M.Sc
Total experience
10 Years
Area of Interest
Pure Mathematics
Workshops/FDP’S/SDP’S Attended
05
Mrs. Rashmi Praveen
Senior Assistant Professor
Ms. Anusha
Educational Qualification
M.Sc
Total experience
08 Years
Area of Interest
Applied Mathematics
Professional Memberships
LIFE MEMBER OF ISTE
Workshops/FDP’S/SDP’S Attended
14
Ms. Anusha
Senior Assistant Professor
Ms. Shamitha
Educational Qualification
M.Sc, (Ph.D)
Total experience
04 Years
Area of Interest
Fluid Mechanics
Workshops/FDP’S/SDP’S Attended
13
Conference/Journal Publications
- Shamitha, Asha Crasta , S.A. Khan, P. Vasavi, “COMPUTATION OF STABILITY DERIVATIVE FOR A WING FOR SPECIFIC HEAT RATIO = 1.66 FOR HYPERSONIC FLOW” in International Journal of Mechanical and Production Engineering Research and Development (IJMPERD),ISSN(P): 2249–6890; ISSN(E): 2249–8001,Vol. 10, Special Issue, Jun 2020, 208–218 .
Ms. Shamitha
Assistant Professor
Dr. Girija K P
Educational Qualification
M.Sc, Ph.D
Area of Interest
- Energy of Graphs
- Graph Labeling
- Graph Coloring
Workshops/FDP’S/SDP’S Attended
02
Conference/Journal Publications
- Girija K. P., Devadas Nayak C., Sabitha D’Souza and Pradeep G. Bhat, On Balance Index Set of Some Graphs, National Conference on Applications of Mathematics and Statistics in Engineering-2018 (NCAMSE-2018) sponsored by SERB, at MIT., MAHE, Manipal (20-22 June 2018).
- Girija K. P., Devadas Nayak C., Sabitha D’Souza and Pradeep G. Bhat, 3-Vertex friendly index set of graphs, International Conference on Number Theory and Graph Theory, University of Mysore, Mysore, (June 27-29, 2019).
- Girija K. P., Devadas Nayak C., Sabitha D’Souza and Pradeep G. Bhat, 3-Vertex friendly index set of graphs, Mathematics and Statistics, 8(4): 416-423, 2020.
- Girija K. P., Sabitha D’Souza, Devadas Nayak C., and Pradeep G. Bhat, Some properties of generalized complements of a graph, Journal of Mathematical and Computational Science, 10, 2917-2925, 2020.
Dr. Girija K P
Senior Assistant Professor
Ms. Swathi Shetty
Educational Qualification
M.Sc
Areas of Interest
- Pure mathematics
- Linear algebra
- Numerical analysis
Workshops/FDPs/SDPs/STTPs Attended/Conducted
04
Ms. Swathi Shetty
Assistant Professor
Ms. Ashwitha Shetty
Assistant Professor
Dr. Vasanth Kumar S
Educational Qualification
MSc, PhD
Total Experience
10 Years
Areas of Interest
Number Theory
Subjects Handled
- Numerical Techniques
- Complex Analysis
- Probability and Statistical Methods
- Discrete Mathematical Structures
Workshops / FDPs / SDPs / STTPs Attended/Conducted
20
Conference / Journal Publications
- Vasanth Kumar S, ON EXPLICIT EVALUATION OF RATIO’S OF THETA FUNCTION WHICH IS ANALOGOUS TO RAMANUJAN’S FUNCTION 𝑎𝑚,𝑛. Soc. Paran. Mat, 2020.
- Vasanth Kumar S and Rajesh Kanna M R, ANALOGOUS TO RAMANUJAN’S REMARKABLE PRODUCT OF THETA FUNCTION OF DEGREE 3 AND THEIR EXPLICIT EVALUATION, Journal of Physics: Conference Series 1597, 012043, 2020, doi:10.1088/1742-6596/1597.
- Vasanth Kumar S and Rajesh Kanna M R, THEOREMS ON RAMANUJAN’S REMARKABLE PRODUCT OF THETA-FUNCTION AND THEIR EXPLICIT EVALUATIONS, International Journal of Advance and Innovative Research, Vol. 6, Issue 2 (XXXX): Page number 165 – 169 April – June, 2019.
- Vasanth Kumar S and Rajesh Kanna M R, A NEW PARAMETER FOR RAMANUJAN’S FUNCTION Χ(Q) OF DEGREE 3 AND THEIR NEW EXPLICIT International Journal of Science and Technology research, Vol.8, No. 11, 3628-3623 2019.
- Vasanth Kumar S and Dharmendra B N, THEOREMS ON ANALOGOUS OF RAMANUJAN’S REMARKABLE PRODUCT OF THETA-FUNCTION AND THEIR EXPLICIT EVALUATIONS, Soc. Paran. Mat. 2018.
- Dharmendra B N, Guruprasad and Vasanth Kumar S, NEW MODULAR RELATIONS FOR THE RATIO’S OF RAMANUJAN FUNCTION χ(-q) OF DEGREE 5, Natural Sciences Publishing Math. Sci. Lett, 6, No. 2, Page number 157-161, 2017.
- Mandal, Mithuna, A. Garg, Sanjana S. Sahetya, S. Nagendra, H. S. Sripad, M. Manjunath, Sitaram, M. Soni, R. Baig, Vasanth Kumar S, B. Kumar NOVEL RHODANINES WITH ANTICANCER ACTIVITY: DESIGN, SYNTHESIS AND COMSIA STUDY, RSC Advances, Vol. 6, Page number 58641 – 58653, 2016.
- Dharmendra B N, Shivakumar Swamy C S and Vasanth Kumar S, ON A RAMANUJAN QUANTITY, An International Journal of Analysis & Number Theory 2, No. 2, Page number 83–88, 2014.
- Dharmendra B N, Rajesh Kanna M R and Vasanth Kumar S, A PARAMETER FOR RAMANUJAN’S FUNCTION χ(q) OF DEGREE 9 AND THEIR EXPLICIT EVALUATION, International Journal of Pure and Applied Mathematics, Vol. 88 No. 4 2013, 537-546.
- Dharmendra B N, Rajesh Kanna M R and Vasanth Kumar S A CONTINUED FRACTION OF RAMANUJAN AND THEIR EXPLICIT VALUES, International Journal of Pure and Applied Mathematics 85 No. 6, Page number 1021–1030, 2013.
- Dharmendra B N, Rajesh Kanna M R, Jagadeesh R and Vasanth Kumar S SOME NEW IDENTITIES FOR CONTINUED FRACTION OF ORDER SIX, International Mathematical Forum, Vol. 8, 3, Page number 145 – 152, 2013.
Dr. Vasanth Kumar S
Senior Assistant Professor
Mr. Nagarjun Prabhu
Educational Qualification
M.Sc., (PhD)
Total Experience
2.5 Years
Areas of Interest
Graph Theory
Subjects Handled
- Engineering Mathematics I
- Engineering Mathematics II
- Engineering Mathematics III
- Engineering Mathematics IV
Workshops / FDPs / SDPs / STTPs Attended/Conducted
05
Conference / Journal Publications
- Nagarjun Prabhu, Devadas Nayak C, Sabitha D’Souza, Ashwath Rao B, Pradeep G. Bhat, “Algorithm to d-Distance Equitable Coloring of Trees”, “International Journal of Advanced Science and Technology”, 29(3) (2020), 2140-2150.
- Nagarjun Prabhu, Devadas Nayak C, Sabitha D’Souza, Pradeep G. Bhat “d-Distance Equitable Chromatic Number of Some Graphs”, “Asian-European Journal of Mathematics”, Vol. 15, No. 04, 2250075 (DOI: 10.1142/S1793557122500759, Online Published: June 25th , 2021.
- Nagarjun Prabhu, Devadas Nayak C, Sabitha D’Souza, Pradeep G. Bhat, “d-distance and d-distance equitable coloring of some graphs”, “International e-conference on Artificial Intelligence and soft computing”(ICAISC-2021 ). Held at department of computer science, Karnataka state, Akkamahadevi womens college Vijayapur, from 11th to 13th february 2021.
- Nagarjun Prabhu, Devadas Nayak C, Sabitha D’Souza, Pradeep G. Bhat, “On d-distance equitable edge coloring of Cn and Pn”, “International e-conference on Virtual Conference on Descrete mathematics and Combinatorics”(ICDMC-2021). Held by department of Mathematics, Poornaprajna College Udupi, On July 22 − 23, 2021.
- Nagarjun Prabhu, Swathi Nayak, Sabitha D’Souza, Pradeep G. Bhat, “Two Laplacian Energies of Partial Complements of Graphs”, “International conference on Number Theory and Graph Theory”. Held at department of studies in Mathematics, University of Mysore, Mysuru, during June 27-29, 2019.
Mr. Nagarjun Prabhu
Assistant Professor
Mr. Venkatramana P B
Educational Qualification
M.Sc. (Ph.D.-Ongoing)
Total Experience
01 Year
Areas of Interest
Differential equations
Workshops / FDPs / SDPs / STTPs Attended/Conducted :
06
Conference / Journal Publications :
- Satyanarayana Engu, Manas R. Sahoo, and Venkatramana P. B. Solutions to viscous Burgers’ equations with time dependent source term. Electronic Journal of Differential Equations, 2021(2): 1-16, 2021. (SCI Indexed)
- Satyanarayana Engu, Manasa M, and Venkatramana P. B. Generalized solutions of an inhomogeneous inviscid Burgers equation. Indian Journal of Pure and Applied Mathematics, 53(1): 188-206, 2022 (SCI indexed).
- Venkatramana, P. B., Satyanarayana Engu, Manas R. Sahoo. Explicit formula and large time behaviour for the heat equation in a strip with discontinuous source term. (2022) (under review).
Mr. Venkatramana P B
Assistant Professor
Dr. Chaitanya S Nayak
Educational Qualification : PhD
Total Experience : 2yrs
Areas of Interest : Authentication, Cryptography
Subjects Handled
Engineering Mathematics I
Engineering Mathematics II
Advanced Engineering Mathematics
Workshops / FDPs / SDPs / STTPs Attended/Conducted : (Total count ): 08
Conference / Journal Publications :
- Madhusudhan, R., and Chaitanya S. Nayak. ”An improved user authentication
scheme for electronic medical record systems.” MULTIMEDIA TOOLS AND
APPLICATIONS 79.29-30 (2020): 22007-22026.
- Madhusudhan, R., and Chaitanya S. Nayak. ”A robust authentication scheme for
telecare medical information systems.” Multimedia Tools and Applications 78(11)
(2019): 15255-15273.
- Madhusudhan, R., and Chaitanya S. Nayak. ”An Assessment of Website User Authentication Mechanisms.” International Journal of Computing & Information Sciences 14(3) (2018): 14.
- Madhusudhan, R., and Chaitanya S. Nayak. ”An Improved User Authentication
Scheme for Telecare Medical Information Systems.” In 2018 IEEE/ACM International Conference on Connected Health: Applications, Systems and Engineering Technologies (CHASE), pp. 100-105. IEEE, 2018.
Dr. Chaitanya S Nayak
Assistant Professor
Infrastructure
Research Center
The Mathematics Research Centre was established in the year 2015. Its Research activities encompass a broad range of areas such as Applied Mathematics, Aerodynamics, Fluid Dynamics , Computation Fluid Dynamics and Numerical Simulations.
Four Research scholars are pursuing research in the Departmental research centre, two of which are working Stability analysis and other in the Numerical Simulations.
The research Centre has nearly 20 publications.
Study Materials
SCHEME AND SYLLABUS
2018 – Scheme and Syllabus
COURSE MATERIALS
ACADEMIC YEAR 2019-20
| 18MAT11 | Calculus and Linear Algebra | Module 1 | Module 2 | Module 3 | Module 4 | Module 5 |
| 18MAT21 | Advanced Calculus and Numerical Methods | Module 1 | Module 2 | Module 3 | Module 4 | Module 5 |
| 18MAT31 | Transform calculus , Fourier series and Numerical Techniques | Module 1 | Module 2 | Module 3 | Module 4 | Module 5 |
| 18MAT41 | Complex Analysis, Probability and Statistical Methods | Module 1 | Module 2 | Module 3 | Module 4 | Module 5 |