About the Department
The Department of Mathematics was originally established in the year 1994 to offer Engineering Mathematics courses for both undergraduate (B. Tech.) and post-graduate (M. Tech., MCA)programs. From 2003 onwards, the department started offering elective courses for undergraduate and postgraduate program and also advanced courses for Ph. D. programs. From 2004, the Department has been offering Ph.D. programs in Graph Theory, Multi-wavelet Transforms, Magneto Hydrodynamics, Lie Algebra Bundles, Cryptography and Statistics.
About the Faculty
The Department has a team of highly qualified faculty members most of them being Ph. D. holders, with specialization in recent and advanced fields in Analysis, Algebra, Fluid Mechanics, Statistics, Six Sigma, Numerical Analysis, Number Theory etc. The Department has organized several International and National Conferences with paper presentations and invited talks of high quality. The Department has to its credit a good number of research papers published in refereed International and National Journals.
About the Programs
The department currently offers the following programs:
- Five-year Integrated M.Sc. in Mathematics (2013 onwards)
- Five-year Integrated M.Sc. in Data Science (2018 onwards)
- Two-year M.Sc. in Mathematics (2017 onwards)
- Two-year M.Sc. in Applied Statistics and Data Analytics (2018 onwards)
- Ph.D. in various disciplines of Mathematics and Statistics (2003 onwards)
These programs have been started keeping in mind the importance of higher education in Mathematics, Statistics, Data Analytics and Data Science for teaching, research and for jobs in both conventional and software industries. These programs aim at giving a strong foundation in the basics of Mathematics and Statistics, and then at motivating towards specializations for research/job of an interdisciplinary
Programs offered:
The Department conducts various events to enrich students with additional knowledge that can help them to handle problems with different perspectives.
Faculty Development Programs(FDP) Conducted
- A faculty development program on Proxy Re - encryption Technology on March 2, 2013.
- A faculty development program on Latex (typing software) on July 31, 2012.
Events Conducted
- International conference on Graph Theory and applications, January 4-6, 2019.
- Workshop on Statistical Techniques in Data Analytics from August 17-19, 2017.
- Workshop on Interconnection Networks from April 24-28, 2017.
- International Conference on Graph Theory, Graph Algorithms and its Applications, December 16-19, 2015.
- Recently organized a two-day International Conference on Applications of Fractals and Wavelets (ICAFW 2015) on from January 10-11, 2015.
- Second India-Taiwan Conference on Discrete Mathematics was held at Coimbatore campus on September 8-11, 2011.
- National Conference on Quality Improvement Concepts and their Implementation in Higher Educational Institutions(QICIHEI) was organized during December 11 - 12, 2009.
- An International Conference on Graph Theory and its Applications was organized on December 11 - 13, 2008 at Coimbatore campus.
- A national level tech fest, Sankhya '08, was organized on October 18, 2008 in association with the Department of Computer Science and Engineering, Amrita School of Engineering, Ettimadai, Coimbatore.
Chairperson, Mathematics, School of Engineering, Coimbatore
Professor, Mathematics, School of Engineering, Coimbatore
Head - Cybersecurity, TIFAC CORE in Cyber Security, Coimbatore
Professor, Mathematics, School of Engineering, Coimbatore
Professor, Computer Science, School of Engineering, Coimbatore
Professor, Student's Welfare, School of Engineering, Coimbatore
Asso. Professor, Mathematics, School of Engineering, Coimbatore
Research Expertise
- Network on Chip
- Regression Analysis
- Pattern Recognition
- Fluid Mechanics
- Lie Groups
- Graph Theory and Algorithms
- Number Theory and Cryptography
- Bio-Statistics
- Fractal Chaos Theory
- Finite Element Methods
- Linear Algebra
Publications
2015
- K. Somasundaram, J. Geetha and Aman Gupta, Total Coloring Algorithm of Graphs, Applied Mathematical Sciences, Vol.9, No.26, 1297-1302, 2015.
- K. Abhishek, Set-Valued Graphs: A Survey, Journal of Discrete Mathematical Sciences and Cryptography, Volume 18, Number 1-2, p.55-80.
- K. Abhishek, A Note On Set-Indexed Graphs, Journal of Discrete Mathematical Sciences and Cryptography, Volume 18, Number 1-2, p.31-40.
2014
- K. Somasundaram, Juha Plosila and N. Viswanathan, Deadlock free Routing Algorithm for Minimizing Congestion in a Hamiltonian Connected Recursive 3D NoCs, Microelectronics Journal, Vol.45, pp. 989-1000, 2014.
- K. Somasundaram, Nallasamy Viswanathan, and Kuppusamy Paramasivam, An Optimised 3D Topology for On-Chip Communications, International Journal of Parallel, Emergent and Distributed Systems, Vol.29, No.4, Pg346-362, 2014.
- Ranjitha Kumar, G. Prema, and B.S. Kiranagi, Lie Algebra Bundles of Finite Type, Acta Universitatis Apulensis, Vol.39/2014, pp.151-160, 2014.
- Ranjitha Kumar, G. Prema, and B.S. Kiranagi, On Completely Semisimple Lie Algebra Bundles, Journal of Algebra and Its Applications(WSPC), Vol.14, No.2, pp.1-12, 2014.
- Radha R Iyer and V. Anandkumar, The Inverse Domination Number and Independence Number of Some Cubic Bipartite Graphs, AMO-Advanced Modeling and Optimization, Vol.16, No.2, pp.331-338, 2014.
- Radha R Iyer and Kulli V. R., Total Closed Neighbourhood Graphs With Crossing Numbers One and Two, Pacific-Asian Journal of Mathematics, Vol.8, No.1, pp.71-78, 2014.
- T. Palanisamy and J. Ravichandran, Estimation of Variance Function in Heteroscedastic Regression Models by Generalized Coiflets, Communication in Statistics- Simulation and Computation, Vol.43, Issue 10, pp.2213-2224, 2014.
- T. Palanisamy and J. Ravichandran, Variance Estimation in Heteroscedastic Models by Undecimated Haar Transform Communication in Statistics- Simulation and Computation, Vol.44, No.6, pp.1532-1544, 2014.
- K. Gayathri and K. Shailendhra, Pulsatile Blood Flow in Large Arteries: Comparative Study of Burton's and McDonald's Models, Applied Mathematics and Mechanics (English Edition), Vol. 35, Issue 5, pp 575-590,2014.
- Punnamchandar Bitla, and T. K. V. Iyengar, Pulsating Flow of an Incompressible Micropoloar Fluid Between Permeable Beds With an Inclined Uniform Magnetic Field European Journal of Mechanics B/Fluids, Vol.48 (2014), pp.174-182, 2014.
- Anant Kant Shukla, Thermal-Diffusion and Diffusion-Thermo Effects on MHD Flow of Viscous Fluid Between Expanding or Contracting Rotating Porous Disks With Viscous Dissipation Journal of Egyptian Mathematical Society, (In Press, 2014),
- Anant Kant Shukla, Influence of Thermal Radiation on Unsteady Flow over an Expanding or Contracting Cylinder with Thermal-Diffusion and Diffusion-Thermo Effects Journal of Aerospace Engineering, pg.1-10, (In Press 2014).
- Anant Kant Shukla, Application of the Homotopy Perturbation Method and the Homotopy Analysis Method for the Dynamics of Tobacco Use and Relapse Journal of Interpolation and Approximation in Scientific Computing, Vol.2014, pp.1-21, 2014.
- Sreeranjini K. S., and V. Madhukar Mallayya, Magic Squares as a Field, Global Journal of Pure and Applied Mathematics, Vol.10, No.5, pp.733-736, 2014.
- Sreeranjini K. S., and V. Madhukar Mallayya, Morphisms Between the Groups of Semi Magic Squares and Real Numbers, International Journal of Algebra, Vol.8, no.19, pp.903-907, 2014.
2013
- K. Abhishek, Set-Valued Graphs- II , Journal of Fuzzy Set Valued Analysis, Page No. 1- 16, June 2013.
- K. Abhishek and Germina K.A., Out Set-Magic Digraphs, Journal of Discrete Mathematical Sciences and Cryptography, Vol. 16(1) Pp. 45 – 59 , May 2013.
- K. Somasundaram, Nallasamy Viswanathan, and Kuppusamy Paramasivam, Performance Comparison of 3D NoC Topologies using Networks, Calculus Life Science Journal, Vol. 10(1), March 2013.
- Ashwin Ganesan, On the Sharpness of a Bound on the Diameter of Cayley Graphs Generated by Transposition Trees, Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 84, Pp. 29- 40, Feb. 2013.
- K. Shailendhra, Hydromagnetic Blood Flow Through a Uniform Channel with Permeable Walls Covered by Porous Media of Finite Thickness, Journal of Applied Fluid Mechanics (Iran), Vol. 6(1), Pp. 39 – 47, January 2013.
- Sindhu M., M. Sethumadhavan, Linear Complexity Measures of Binary MultisequencesInternational, Journal of Computer Applications, Vol. 62 - Number 16, pp.6-10, 2013 .
- Kumar Abhishek and Ashwin Ganeshan, Detour Distance Pattern of a Graph, International Journal of Pure and Applied Mathematics, Volume 87 - No. 5, 719 - 728, DOI: 10.12732 / ijpam. v87i5.5, 2013.
2012
- Ashwin Ganesan , An Efficient Algorithm for the Diameter of Cayley Graphs Generated by Transposition Trees, IAENG International Journal of Applied Mathematics, Vol. 42(4), Pp. 214 -223, November 2012.
- K. Shailendhra, Hall Effect on Unsteady MHD Free Convection Flow Past an Impulsively Started Porous Plate with Viscous and Joule’s Dissipation , International Journal of Science and Engineering Investigations, Vol. 1(6) , Pp. 64 – 71, July 2012.
- G. Prema, B.S. Kiranagi, and Ranjitha Kumar, On The Radical Bundle of a Lie Algebra Bundle, International Journal of Jangieon Mathematical Society , Vol. 15(4), Pp. 447 – 453, 2012.
- Radha R. Iyer and V.R. Kulli , Inverse Vertex Covering Number of a Graph , International Journal of Discrete Mathematical Science & Cryptography , Vol. 15, Pp. 389- 393, 2012.
- T. Palanisamy and J. Ravichandran, Non Parametric Regression Curve Estimation Using Generalized Coiflets, Journal of Combinatorics, Information & System Sciences, Vol. 2-4, Pp. 229 – 239, 2012.
- Ashwin Ganesan and Radha R. Iyer, The Regular Number of a Graph, Journal of Discrete Mathematical Sciences and Cryptography, Vol. 15, Pp. 149-157, 2012.
- C. Srinivasan, K. V. Lakshmy, and M. Sethumadhavan, Measuring Diffusion in Stream Ciphers using Statistical Testing Methods, Defence Science Journal, Vol. 62, no. 1, pp. 6–10, 2012.
- B. D. Acharya, Germina K. A., Kumar Abhishek, P. J. Slater, Some New Results on Set-Graceful and Set-Sequential Graphs, Journal of Combinatorics, Information & System Sciences, Vol. 37, No. 2 - 4, pages 145-155, 2012.
- B. D. Acharya, K. A. Germina, Kumar Abhishek, Hypergraphs of Minimal Arc Bases of Digraph, Journal of Combinatorics, Information & System Sciences Vol.37, No. 2 - 4, pages 307 - 319, 2012.
- Kumar Abhishek, K. A. Germina, Set-Valued Graphs, Journal of Fuzzy Set Valued Analysis, Volume 2012, Article ID: jfsva - 00127, 17 Pages, DOI: 10.5899 / 2012 / jfsva - 00127, 2012.
2011
- Radha R. Iyer and V. R. Kulli. The Split Edge Domination Number of a Graph, 2011 Ultra Scientist, Vol.23(1)M, pp190-194, March 2011.
- K. Somasundaram and P. Subramanian, Determinantal Mates, International Journal of Algebra, Vol.5, Issue 24, pp 1181-1187, 2011.
- K. Shailendhra and S. P. Anjali Devi, On the Enhanced Heat Transfer in the Oscillatory Flow of Liquid Metals, Journal of Applied Fluid Mechanics, Vol. 4, No. 2, Issue 1, pp. 57-62, 2011.
- K. Shailendhra, S. P. Anjali Devi and P.T. Hemamalini. Pulsated Convective MHD Flow with Hall Current, Heat Source and Viscous Dissipation along a Vertical Porous Plate, International Journal of Applied Mathematics and Computation, 3(2), pp. 141-150, 2011.
- K. Shailendhra and K.Ramakrishnan. Hydromagnetic Flow Through a Uniform Channel Bounded by Porous Media, Applied Mathematics and Mechanics, Vol. 32, No. 7, pp. 837-846, 2011.
- R. Arul Doss. Orthodox Γ-Semirings, Advances in Algebra, Vol. 4, No. 1: pp. 35 - 40. February 2011.
2010
- Somasundaram K., N. Vishwanathan and K. Paramasivam, Analytical Model for Chip Area and Power Consumption of 3D NoC, MES Journal of Technology and Management, 1 (2): pp. 162 - 166, November 2010.
- Kumar Abhishekand Germina K. A. Kernels and Grundy Functions of Hypergraphs, South East Asian Journal of Mathematics and Mathematical Sciences (SEAJMMSc.), Vol. 9, No. 1, 2010.
- R. Arul Doss and S. Krishnamoorthy. On Pseudo Symmetric Ideas in - Semirings, International Journal of Algebra, Vol.4, No.1: pp. 1 - 8. 2010.
- R. Arul Doss and S. Krishnamoorthy. Homomorphisms of Inverse Γ-Semirings, International Journal of Physical Sciences, Vol. 22 (3) M, pp. 822 - 826. 2010.
- Dr. J. Ravichandran., A Review of Preliminary Test-based Statistical Methods for the Benefit of Six Sigma Quality Practitioners, Statistical Papers, Springer, September 2010.
- R. Arul Doss and S. Krishnamoorthy. Commuting Regular Γ-Semiring, International Journal of Mathematical and Statistical Sciences, Vol. 2, No. 4: pp. 151 - 153. June 2010.
- R. Arul Doss and S. Krishnamoorthy. Commuting Regular Γ-Semiring, International Journal of Computational and Mathematical Sciences, Vol. 4, No. VIII: pp. 376 - 378. June 2010.
- Dr. J. Ravichandran, Probability & Statistics for Engineers, Wiley - India, June 2010 (Book Chapter).
- B. D. Acharya, Germina K. A., Kumar Abhishek, S. B. Rao, Thomas Zaslavsky. Point and Arc‐Reaching Sets of Vertices In A Digraph, Indian Journal of Mathematics, Vol. 3: pp. 597 ‐ 609. December 2009.
2014
- K. Somasundaram and Anjali N. V., Design and Evaluation of Virtual Channel Router for Mesh-of-Grid based NoC, International Conference on Electronics and Communication Systems (ICECS’14), pp.615-619, 2014.
- Praveen I. and Manojkumar, A Fully Simulatable Oblivios Transfer Scheme Using Vector Decomposition, International Conference on Intelligent Computing, Communication and Devices (ICCD-2014),Advances in Intelligent Systems and Computing(Springer), pp.1-9, 2014.
- O. S. Deepa Gopakumar, Designing an Optimal Sampling Plan on Loss Function, International Conference on Mathematical Sciences (ICMS-2014), pp.819-820, 2014.
- O. S. Deepa Gopakumar, Fuzzy Stochastic Approach for Conditional Repetative Group Sampling Plan Under Weighted Poisson Model, International Conference on Mathematical Sciences (ICMS-2014), pp.403-406, 2014.
- O. S. Deepa Gopakumar, Selection of Sampling Plans with Double Binomial as Prior Distribution, International Conference on Mathematical Sciences (ICMS-2014), pp.834-835, 2014.
- M. Sivasankar, New Directions in RFID Tag Singulation, Ninth International Conference on Industrial and Information Systems 2014, pp.1-4, 2014.
- T. Sivakumar, Effect of Vertical Vibrations on the Onset of Convection in a Fluid Saturated Porous Layer, Fifty Ninth Congress of The Indian Society of Theoretical and Applied Mechanics ISTAM -2014, pp.1-4, 2014.
2013
- P. Muralikrishna, Lakshmi K, K. P. Soman, Compressive Estimation of UWA Channels for OFDM Transmission using Iterative Sparse Re construction Algorithams, International Multi Conference on Automation, Computing, Control, Communication and Compress Sensing, March 2013.
- Lakshmi K., P. Muralikrishna, K. P. Soman, Compressive Channel Estimation for OFDM Transmission in UWA Channels Using Iterative Sparse Reconstruction Algorithms, International Multi-Conference, March 22 - 23, 2013.
2012
- Sivasankar M, Generation of Key Bit-streams Using Sparse Matrix-vector Multiplication for Video Encryption, Second International Conference on Soft Computing for Problem Solving (SocProS 2012), organized by JK Lakshmipat University , Jaipur, Pp: 491-496, December 28 - 30, 2012
- Praveen I. M., Sethumadhavan, An Efficient and Faster Pairing Computation, SECURIT '12 First International Conference on Security of Internet of Things, ACM, New York, NY, USA, 145-149, August 17 - 19, 2012.
- Sivasankar M, Padmanabhan .T. . R., Digital Signatures Using Multivariate Polynomial Systems with Relatively Simpler Central Maps, 6th International Conference on Information Processing, ICIP 2012, organized by University Visvesvaraya College of Engineering, Bangalore, Pp: 592- 598, August 10 - 12, 2012.
In keeping with the tradition of imparting quality education, teaching and research are the main areas of concentration of the department of mathematics. The department teaches mathematics to B. Tech., M. Tech., M. Sc. and Ph. D. students belonging to various engineering streams. The department also conducts various events to enrich students with additional knowledge that can help them to handle problems with different perspectives.
Objectives
Anantam Mathematics Forum was established to create student curiosity in mathematics. The Forum helps students to appreciate the beauty and subtlety of mathematics and to learn about the origin and development of various fields in mathematics. Students also get opportunities to learn about recent developments which broadens and deepens their knowledge in the field.
At least two activities of the Mathematics Forum per semester are conducted on the following topics:
| History of Mathematicians | History and Development of Mathematics |
| Mathematics as the Queen and Mother of Sciences | Mathematics as Backbone of Engineering and Sciences |
| Fineness [Subtlety] of Mathematics | How to approach Mathematics |
| How to enjoy Mathematics | Mathematics puzzles |
| Mathematics in daily life | Magic Squares |
| Paradoxes in Mathematics | Mathematical Models |
Forum activities include:
| Group Discussions | Mathematical Quizzes |
| Student paper presentations | Mathematics exhibitions and models |
| Talks by eminent professors | Courses / Seminars / Conferences on Mathematics |
| Essay competitions | Mathematics Forum Newsletter |
| Mathematics Lab |
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