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Two Day Workshop on Advanced Topics in Mathematics

KSTA WORKSHOP REPORT

Department of Mathematics, Christ University in association with Karnataka Science and Technology Academy organized a two day workshop held on 13thand 14th of November 2017 titled “Advanced Topics in Mathematics” for postgraduate students. This deliberative academic workshop brought together eminent professors to discuss various advanced topics in mathematics. The main objective of the Workshop was to familiarize, participants with the emerging ideas and trends of mathematics.

The workshop started with Dr T.V. Joseph, Head of the Mathematics Department, Christ University, addressing the gathering.There were 130 participants from different academic institutions such as National College, St. Joseph’s College, MES college, Bangalore University, Mount Carmel College and NMKRV College for Women including PG students and faculty members of Christ University. The programme was conducted from 9.30 am to 5.00 pm with 4 sessions each day.

 

Day 1 (13/11/2017)

The first session was carried out by Prof. R. Sampathkumar, Department of Mathematics, Alagappa University on “Design Theory and Combinatorics”. He gave us an insight on Ramsey graphs, ranks, hyper graphs, various main theorems of Ramsey graphs and so on. The afternoon session was led by Prof. Pradeep. G. Siddheshwar, Department of Mathematics, Bangalore University  on“How to reinvent concepts in Mathematics to make it more useful-an illustration”. He made us ponder upon the interpretations of several fundamental concepts which we come across often such as slope of the tangent, maxima and minima, partial derivatives, total derivative and many more. Phase space, directional derivative, heat equations, Laplace transform, Convolution and Taylor series were various other concepts he discussed with the Participants extensively.

 

Day 2 (14/12/2017)
First session of the day was taken by Dr B J Gireesha, Department of PG Studies and Research in Mathematics, Kuvempu University on “Fluid Mechanics and its Applications”. The areas of discussion in this session were basic concepts of differential equations, its application in Fluid Mechanics, significance of Reynold’s number and so on.

 

 

The session majorly dealt with the topic “heat transfer through fins” where he analysed the thermal analysis of wet porous fins for convection and radiation heat transfer. He concluded that radiation, convection and moisture content because of the wet fin, transfers more heat than dissipating heat only by convection. A test was conducted post-session for all the students based on the sessions conducted previously.The speaker for the afternoon session was Prof.VeerappaGowda, Dean, TIFR Centre for Applicable Mathematics.The topic for the session was “Continuity, Uniform Continuity and Mean Value Theorems”where he posted few questions on some important concepts of analysis and the difference between continuity and uniform continuity. He made us reflect critically on few theorems and their statements on some of the major topics in Analysis. He also discussed the three mean value theorems, that is Intermediate Mean Value Theorem, Lagrange Mean Value Theorem and Rolle’s Mean Value Theorem.

The Valedictory session was graced by Dr. S. K. Shivakumar, Chairman, KSTA and and Dr.Surendra Kulkarni, Dean of Science, Christ University. The session started with an invocation song followed by welcome address by Dr.Sangeetha George, Faculty, Department of Mathematics, Christ University and felicitation of the guests. Dr.Surendra Kulkarni congratulated all for their active participation and for the successful completion of the entire workshop in hisPresidential Address. Dr. S. K. Shivakumar inspired and enlightened the gathering with his words of wisdom where he shared his experience of being a part of the team that developed the telemetry system for Chandrayaan-I, India's first lunar exploration mission. He concluded his speech by congratulating the Departmenton the success of the workshop. The session was followed by participants feedback where Miss Deeksha, student, St Joseph’s College and Mr.Majesh, student, National College shared their thoughts and views about the sessions.

Prizes were distributed to the winners of the test by Dr. S. K. Shivakumar. The first position was bagged by Franklin of St. Joseph’s College, Second position by Chaitra of NMKRV College for Women and third position by Mashiath Ullah of Christ University. The programme ended with a vote of thanks by Dr. S. Pranesh, Coordinator, Department of Mathematics, Christ University followed by the Christ University anthem.

 

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