Mathematics

Mangalore Institute of Technology & Engineering - Mathematics

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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.

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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.

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Faculty

Faculty

asha-crasta

Dr. Asha Crasta

Position: Associate Professor & HOD
Phone: 9902199045
Email: hodmat@mite.ac.in

Educational Qualification

M.Sc., Ph.D

Total Experience

16 Years

Areas of Interest

  • Pure and Applied Mathematics,
  • Aerodynamics
  • Fluid Dynamics
  • Space Flight Dynamics

Professional Memberships

  • Member of ISTE
  • Member of Forum of Interdisciplinary Mathematics( FIM)
  • Member of International Association of Engineers(IAENGG)

Workshops / FDPs / SDPs / STTPs Attended/Conducted

40

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 .
  • Renita Sharon Monis, Asha Crasta, and S. A. Khan,2020,” Analytical Estimation of Stability Derivatives of Wing with curved Leading Edges at Hypersonic Mach number”,Test Engineering and Management, Vol.31,March-April,pp.13808-13819.
  • Renita S Monis, Asha Crasta, Mohammed Faheem and Khan S. A., 2019, “Analysis of Damping Derivatives for Delta Wings in Hypersonic Flow for curved Leading Edges with Full Sine Wave,” International Journal of Engineering and Advanced Technology, ISSN:2249-8958, Vol. 9, Issue No.1, October 2019, 5457-5466.
  • Ayesha Shabana, Renita Sharon Monis, Asha Crasta, and S. A. Khan,2019,” Estimation of Stiffness Derivative of an Ogive for Specific Heat Ratio 1.666”, Test Engineering and Management, Vol.81,November-December 2019,pp.5091-5100.
  • Renita S Monis, Asha Crasta and Khan S. A., 2019, An Effect of sweep angle on roll damping derivative for a delta wing with curved leading edges in the unsteady flow, International Journal of Mechanical and Production Engineering Research and Development (IJMPERD),Vol.9,Issue No.2, April 2019,pp.361-374.
  • Ayesha Shabana, Renita Sharon Monis, Asha Crasta, and A. Khan, Damping derivative evaluation in pitch for an ogive at High Mach Numbers, International Journal of Innovative Technology and exploring Engineering(IJITEE), Vol. 8, Issue 12, pp. 1307-1317, October, 2019, ISSN :2278-3075.
  • Renita S Monis, Asha Crasta and Khan S. A., 2019, Estimation of Damping derivatives for delta wings in Hypersonic Flow for straight leading edge, International Journal of Mechanical and Production Engineering Research and Development (IJMPERD),Vol.9,Issue No.5, Oct 2019,pp.255-264
  • Renita Sharon Monis, Aysha Shabana, Asha Crasta, and S. A. Khan, “Effect of Sweep Angle and a Half Sine Wave on Roll Damping Derivative of a Delta Wing” International Journal of Recent Technology and Engineering (IJRTE) ISSN: 2277-3878, Volume-8, Issue-2S3, pp. 984-989, August 2019, DOI : 10.35940/ijrte.B1184.0782S319
  • Renita Sharon Monis, Asha Crasta, and S. A. Khan, “Evaluation of Stiffness Derivative for a Delta Wing with Straight Leading Edges in Unsteady Flow”, International Journal of Engineering and Advanced Technology (IJEAT), ISSN: 2249 – 8958, Volume-8, Issue-3S, pp. 754-762, February 2019.
  • Ayesha Shabana, Renita Sharon Monis, Asha Crasta, and A. Khan, “The Computation of Stiffness Derivative for an Ogive in Hypersonic Flow”, International Journal of Mechanical and Production Engineering Research and Development (IJMPERED), Vol. 8, Issue 5, pp. 173-184, June, 2018, ISSN (online): 2249-8001, ISSN (Print): 2249-6890.
  • Aysha Shabana, Renita Monis, Asha Crasta S. A. Khan, 2018,” Effect of semi vertex angle on stability derivatives for an oscillating cone for constant value of specific heat ratio”, International Journal of Engineering & Technology, 7 (3.29) (2018) 386-390
  • Aysha Shabana, Renita Monis, Asha Crasta S. A. Khan, 2018”Estimation of stability derivatives in Newtonian Limit for an oscillating cone” IOP Conf. Series: Materials Science and Engineering 370 (2018) 012061 doi:10.1088/1757-899X/370/1/012061
  • Aysha Shabana, Renita Monis, Asha Crasta S. A. Khan, 2018” Computation of stability derivatives of an oscillating cone for specific heat ratio =1.66,” IOP Conf. Series: Materials Science and Engineering 370 (2018) 012059 doi:10.1088/1757-899X/370/1/012059
  • Renita Monis, Aysha Shabana, Asha Crasta S. A. Khan, 2017,”  Computation of stiffness derivative for an unsteady delta wings with curved leading edges”, International Journal of recent research aspects, ISSN: 2349-7688, Vol.4,Issue 4 ,December, pp. 69-72
  • Aysha Shabana, Renita Monis, Asha Crasta S. A. Khan, 2017,” Estimation of stability derivative of an Oscillating cone in hypersonic flow”, International Journal of recent research aspects, ISSN: 2349-7688, Vol.4,Issue 4 ,December, pp. 46-52
  • Renita Monis, Aysha Shabana, Asha Crasta, S. A. Khan, 2017,” Supersonic flow analysis and evaluation of Damping derivative”, IOSR- JMCE, ISSN:2320-334X, vol2. Pp.29-36.
  • Aysha Shabana, Renita Monis, Asha Crasta S. A. Khan, 2017,” Pressure and its derivative with respect to piston Mach number for an oscillating cone ”, IOSR- JMCE, ISSN:2320-334X, vol1. Pp.74-78.
  • Asha Crasta, Aysha Shabana, Renita Monis, S. A. Khan, 2017,” Analysis of Variation of stiffness derivative with Mach Number and angle of attack in supersonic Flow”, IOSR- JMCE, ISSN:2320-334X, vol1. Pp.97-104.
  • Pavitra S, Lavanya S, S.A. Khan, Asha Crasta 2016,” Estimation of Aerodynamic derivatives in pitch of a wedge in Hypersonic flow”, Indian Journal of Science and Technology. ,pp.1-4
  • Asha Crasta , Pavitra S, S.A. Khan 2016,” Estimation Of Surface Pressure Distribution On A Delta Wing With Curved Leading Edges In Hypersonic/Supersonic Flow” , International journal of energy ,environment and Economics,Nova Science publishers inc,Vol 24, pp.67-73.
  • Asha Crasta and S.A. Khan,2016,”Effect of Aspect ratio with roll moment derivative of a delta wing in supersonic flow”, International Journal of Advances in Engineering Research, (IJAER) 2016, Vol. No. 12, Issue No. I, July,pp.10-15, e-ISSN: 2231-5152, p-ISSN: 2454-1796.
  • Asha Crasta and S.A.Khan 2015,”Effect of Aspect ratio with angle of attack of an oscillating Hypersonic delta wing with Straight Leading edges”, Mathematical Sciences International research Journal” ,volume 4 , issue2, pp.28-33., ISSN2278-8697.
  • Asha Crasta and S. A. Khan 2015, “Estimation of Damping derivative in pitch of a Supersonic delta wing with curved leading edges” IOSR Journal of Journal of Mathematics , 11,issue 1, Jan-feb ,pp.07-15.
  • Asha Crasta and S. A. Khan,2015 “Estimation of  Damping derivative of a delta wing with half sine curved leading edges” IOSR Journal of Mechanical and civil engineering, Vol.12, issue1,February ,pp40-44.
  • Asha Crasta and S. A. Khan, “Effect of Angle of attack on Damping derivative of a delta wing with full sine curved leading edges” IJETED Journal issue5, Volume1, December- January 2015.
  • Asha Crasta and S. A. Khan 2015, “Effect of Angle of attack on Stiffness derivative of an oscillating supersonic delta wing with curved leading edges” IOSR-JMCE  issue1, Volume12, December,pp12-25.
  • Asha Crasta and S.A.Khan 2014,” Effect of sweep angle on rolling moment derivative of an oscillating supersonic/hypersonic delta wing”, International journal of modern Engg. Research, Vol.4, issue 10,ver3, pp.15-22.
  • Asha Crasta and S. A. Khan, 2014 ,’Effect of Angle of attack on Stability derivatives of a Delta wing in Hypersonic flow with Straight leading edge’,International Journal of Mechanical and civil engineering,Vol.11,issue5,Sep-oct (ver.2). 21-29.
  • Asha Crasta, S. A. Khan , 2014, ‘Effect of sweep angle on Roll damping derivative of a delta Wing’, International Journal of Emerging trends in Engineering and Developments Vol15, Issue4, Aug-Sep, pp. 45-55.
  • Asha Crasta and S. A. Khan, 2014, ‘Hypersonic similitude for planar wedges’, International Journal of Advanced Research in Engineering and Technology, Volume 5, Issue 2, Feb., pp. 16-31.
  • Asha Crasta and S. A. Khan, 2014 ,’Effect of Angle of attack on Stability derivatives of a Delta wing with Straight leading edge in Supersonic Flow’,International Journal of Mathematics,Vol.10,issue5,Sep-oct 2014. 01-08.
  • Asha Crasta and S.A. Khan, 2014, ‘Effect of Angle of Incidence on Stability derivatives of a wing’, International Journal for Research in Applied Science and Engineering Technology, Vol. 2, Issue V, May, pp. 411-422.
  • Asha Crasta, S. A. Khan , 2014, ‘Effect of angle of incidence on Roll damping derivative of a delta Wing’, International Journal of Emerging trends in Engineering and Developments 2, Issue4, March 2014, pp. 343-356.
  • Asha Crasta and S. A. Khan, 2013, ‘Stability Derivatives in the Newtonian Limit’, International Journal of Advanced Research in Engineering and Technology, Volume 4, Issue 7, Nov-Dec., pp. 276-289.
  • Asha Crasta and Khan S. A., 2014, ‘Stability derivatives of a Delta Wing with Straight leading edge in the Newtonian Limit’, International Journal of Engineering research and Applications, Vol. 4, Issue 3, Version 2, March, pp. 32-38.
  • Asha Crasta and Khan S. A, 2012, ‘Oscillating Supersonic delta wing with Straight Leading Edges’, International Journal of Computational Engineering Research, Vol. 2, Issue 5, September, pp. 1226-1233.
  • Asha Crasta, M. A. Baig, S. A. Khan , 2012, ‘Estimation of Stability derivatives of a Delta wing in Hypersonic flow’, International Journal of Emerging trends in Engineering and Developments , Vol. 6, Issue2, Sep., pp. 505-516.
  • Asha Crasta and S. A. Khan, 2014, ‘Supersonic Similitude for Oscillating Non-Planar wedge’, IOSR Journal of Mathematics,Volume10, Issue 2 Ver.VI ,Mar-Apr 2014, pp.15-24.
  • Asha Crasta and S.A. Khan, 2014, ‘Effect of Angle of Incidence on Stiffness and Damping derivatives for Oscillating Hypersonic Non-planar Wedge’, International Journal for Research in Applied Science and Engineering Technology, Vol. 2, Issue IV, April 2014, pp. 229-242.
  • Asha Crasta and S. A. Khan, 2014, ‘Effect of Mach number on Stiffness and Damping Derivatives for Oscillating Hypersonic Non-Planar Wedge’, IOSR Journal of Mechanical and Civil Engineering ,Volume 11, Issue 2 Ver. VIII (Mar- Apr.), pp. 04-11.
  • Asha Crasta and S.A. Khan, 2014, ‘Estimation of Stability Derivatives for a Planar Wedge in the Newtonian Limit’, IOSR Journal of Mathematics, Volume10, Issue 2 Version I, March-April, pp. 01-06.
  • Asha Crasta, S. A. Khan , “ Determination of Surface Pressure of an axisymmetric ogive in Hypersonic Flow” in Mathematical sciences International Research Journal, Vol. 2, Issue2,August 2013,pp.333-335,ISSN:2278-8697.
  • Asha Crasta and S. A. Khan, “Estimation of Stability derivatives of an Oscillating Hypersonic delta wings with curved leading edges”,IJMET, Vol.3, Issue 3, December 2012, pp. 483-492.
  • Khan S. A. and Asha Crasta, “Oscillating Supersonic delta wings with curved leading edges”, Advanced Studies in Contemporary mathematics,  20 (2010), No.3, pp. 359-372.
  • Asha Crasta and S. A. Khan, “High Incidence Supersonic similitude for Planar wedge”, International Journal of Engineering research and Applications, Vol. 2, Issue 5, September-October 2012, pp. 468-471.

Dr. Asha Crasta

Associate Professor & HOD

jyothi-s

Dr. Jyothi S

Position: Associate Professor
Phone: #
Email: jyothis@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

Associate Professor

Mrs. Rashmi Praveen

Position: 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

Assistant Professor

Ms. Anusha

Position: 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

Assistant Professor
shamitha

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
p-vasavi

Ms. P Vasavi

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

Educational Qualification

M.Sc

Total experience

02 Years

Area of Interest

Applied Mathematics

Workshops/FDP’S/SDP’S Attended

12

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. P Vasavi

Assistant Professor

Mr. Nayan Bhat K

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

Educational Qualification

M.Sc

Area of Interest

  • Linear Algebra
  • Matrix Theory
  • Generalized Inverses

Workshops/FDP’S/SDP’S Attended

18

Conference/Journal Publications

  • K. Nayan Bhat, N. Eagambaram, Manjunatha Prasad Karantha. “Inverse Complements of a Matrix and Applications”. Journal of Algebra and its Applications, 2021 (Accepted)
  • K. Nayan Bhat, K. Manjunatha Prasad. “Minus Partial Order and Rank 1 Summands”. Bulletin of Kerala Mathematics Association, Special Issue, 16(1)(2018), 59-64
  • K. Nayan Bhat, K. Manjunatha Prasad, Nupur Nandini. “Rank Function and Outer Inverses”. Electronics Journal of Linear Algebra, 33 (2018), 16-23

Mr. Nayan Bhat K

Assistant Professor

Ms. Girija K P

Position: 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.

Ms. Girija K P

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

Non Teaching Staff

  • Ms.Nalini, Attender

Infrastructure

Infrastructure

Research Center

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

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

 

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