Organised by the Department of Mathematics, SRM Institute of Science and Technology
WAME 2019 Report
A two days workshop on Applications of Mathematics in Engineering (WAME-2019) was organised by the Department of Mathematics, Faculty of Engineering and Technology, SRM IST on the 2nd and 3rd of March 2019. The workshop was started with the invocation and was formally inaugurated by lighting of the kuthuvilaku by the Chief guest and dignitaries on the Dias. The convenor and Head of the Department of Mathematics, Dr. A. Govindarajan welcomed the gathering. He focussed on the problems faced by Mathematics teachers in fitting the subject to application areas relevant to the core branches of engineering. He also mentioned that the challenges faced by the Mathematics teachers are the difficulties to formulate and interpret an Engineering application. The need for e-courses and the expectation of the educationalists to make Mathematics more application oriented study and not merely problem solving was emphasized. The theme of the workshop was to justify and strongly throw light on the need for strong Mathematics background to the current day engineering students. The presidential address was delivered by Prof . Kartar Singh, Director International Relations, SRM IST, Chennai. He complimented the department for having chosen a theme which is the need of the hour. He stressed the need for faculty members to be updated with current day applications of the subject and wanted it to be imparted to the students. He felt that students would understand and enjoy the subject when they come to know of its importance. This, he said, would help the students to develop their analytical skills.
Dr. Sundarammal Kesavan,Professor, department of Mathematics, SRMIST, introduced the chief guest Mr. T. Anand, Senior Manager, Vestas, Chennai-118 (ALUMNUS SRMEC-1995 batch) to the audience.
In his inaugural address, Mr. Anand shared his experience as a mentor with the audience. He emphasised the need to learn Mathematics with passion and said that he used Operations Research Techniques in most of his networking projects. The workshop souvenir was released by the chief guest and a copy was given to all the members on the dais. One of the coordinators, Dr. Sheena Christy delivered the vote of thanks.
There were four eminent speakers drawn from esteemed institutions like IITs, NITs, Anna University and Arts and Science college, Ponneri, who enthralled the audience with their presentations ranging from basics to current research in the field of Mathematics.
The first session of the program witnessed the lecture given by Dr. B. R. Shankar, Professor and Head, Department of Mathematics and Computational Sciences, NIT, Surathkal, entitled “Eigen values, Eigen vectors, Cayley Hamilton Theorem and Quadratic form to Canonical form”. He delivered a brief lecture on the above mentioned topic and emphasised the importance and use of Gauss Elimination method in solving system of linear equations. He threw light on different choice of bases which leads to various canonical forms like Jordan, Hermite and Smith, finally ended with Cayley Hamilton theorem. This was followed by an interactive practical session on the same topic. Nearly twenty questions were put forth and discussed with the audience. The active participation of the audience gave a sense of satisfaction to the speaker Dr. B.R. Shankar, Head of the Department of Mathematics Computational Sciences from NIT Suratkal.
The post lunch session witnessed two lectures. Dr.Satyajit Roy, Professor, Department of Mathematics, IIT Chennai discussed briefly on the geometrical and physical aspects of vector calculus. Starting with basic concepts like gradient, divergence and curl, he went on to show their applications in determining the direction of the vector and then the importance of the integral theorems by illustrating their applications in mechanics. He also gave the geometrical and physical interpretation of gradient, curl and divergence of a vector point function.
The third speaker of the day was Dr. S.P. Angeline Kirubha Assistant Professor, Department of Biomedical Engineering, Faculty of Engineering and Technology, SRM IST. She enthralled the audience by giving the application of Matrices, Eigenvalues, and Eigenvectors in analysing texture features and developing biometrics. The first order and second order statistical measures calculated from grey level Co-Occurrence matrix (GLCM) and Run length matrix (RLM) aided in diagnosis of diseases such as cancer, tumours and to quantify bone mineral density. The slides and pictorial representations along with the mathematical formulae for analysing the deformities gave a strong notion of how Mathematics is involved in disease diagnosis and health sciences.
The second day started with the lecture by Dr. T. N. Shanmugam, Retired Professor from Anna University on the topic “Complex integration using Residues, Poles and Cauchy’s Residue Theorem”. Starting from line integrals and moving on to contour integration, a brief coverage was given on the topic. The applications of complex contour integrals and Pole-zero diagrams of Transfer functions were vividly explained. This was well supported by the tutorial session covering all topics. He mentioned how complex functions are used in the field of Engineering and Technology, particularly in control system and how complex functions in t domain is changed to s domain and how discontinuous function is converted into continuous function using Z-transform technique.
The last but one speaker of the day was Dr. Jeyaraman from L.N. Government College, Ponneri who illustrated how, when physical problems represented by complex functions can be solved easily by the use of appropriate coordinate transformation / mapping. He gave the applications of Conformal mapping in Engineering. He also explained how it is applied in Electrostatics, Fluid dynamics, Magntohydrodynamics and Electrical engineering. He also elaborated the use of Laplace equation in interior and exterior Dirichlet problem, Neumann problem, problems in open disc and rectangular region.
The final lecture was given by our colleague, Dr. C. S. Boopathi from the EEE Department who highlighted the use of Numerical Linear Algebra in solving application oriented problems in TNEB using the day to day activities. He explained how Guass elimination method and Newton Raphson method are very useful in predicting the voltage and current across the junction in Wheatstone bridge network. The practical session on linear algebra was provided by Dr. Selvakumar from the same department, who actually solved a numerical problem which is occurring in our day to day life.
The two days workshop came to a close and concluded with the Valedictory function. Prof.Ganapathy Subramanian,Professor, department of Mathematics welcomed the Chief guest and the audience. Dr. N. Parvathi, Professor, department of Mathematics introduced the chief guest Mr. Sai Prasad,(ALUMNUS, SRMEC, 1993 batch), Senior director CBRE South Asia Pvt Ltd, Chennai-96 to the audience. The chief guest shared his views on the importance of organising such a program and the benefits one could get from it. Dr. V. Srinivasan, Professor, department of Mathematics gave a detailed report of the two days event. The chief guest gave the certificates to the participants. The day came to close with the vote of thanks by Dr. G. Ramesh. The feedback got from the participants encouraged the organising team and motivated them to go further step to conduct these type of program in future too. The closing of the workshop witnessed a sense of fulfilment from the participants in their feedback. The curtains came down with National Anthem. This was followed by a group photo session to add to our memories.