Mathematics

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.

For more details about the department, visit the microsite

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

jyothi-s

Dr. Jyothi S

Position: Professor & HOD
Phone: +917026626656
Email: hodmat@mite.ac.in

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

Position: Senior Assistant Professor
Phone: #
Email: rashmi@mite.ac.in

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

Position: Senior Assistant Professor
Phone: #
Email: anusha@mite.ac.in

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

Position: Assistant Professor
Phone: #
Email: shamitha@mite.ac.in

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

Position: Senior Assistant Professor
Phone: #
Email: girija@mite.ac.in

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

Position: Assistant Professor
Phone: #
Email: swathi@mite.ac.in

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

Position: Assistant Professor
Phone: #
Email: #

Educational Qualification

M.Sc

Ms. Ashwitha Shetty

Assistant Professor

Dr. Vasanth Kumar S

Position: Senior Assistant Professor
Phone: #
Email: vasanth@mite.ac.in

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.
  • MandalMithunaA. GargSanjana S. SahetyaS. NagendraH. S. SripadM. ManjunathSitaramM. SoniR. BaigVasanth 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

Position: Assistant Professor
Phone: #
Email: nagarjun@mite.ac.in

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

Position: Assistant Professor
Phone: #
Email: venkatramanapb@mite.ac.in

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

Position: Assistant Professor
Email: chaitanya@mite.ac.in

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

18MAT11Calculus and Linear AlgebraModule 1Module 2Module 3Module 4Module 5
18MAT21Advanced Calculus and Numerical MethodsModule 1Module 2Module 3Module 4Module 5
18MAT31Transform calculus , Fourier series and Numerical TechniquesModule 1Module 2Module 3Module 4Module 5
18MAT41Complex Analysis, Probability
and Statistical Methods
Module 1Module 2Module 3Module 4Module 5