Complex Analysis, Transforms and Numerical Techniques (2022)

Convener(s)

 
Name: G. P. Youvaraj R. Ratha Jeyalakshmi
Mailing Address:

Professor, Director & Head Rtd
Ramanujan Institute for Advanced
Study in Mathematics,
University of Madras,
Chennai-600005, Tamil Nadu

 Associate Professor and Head
Department of Mathematics
Mepco Schlenk Engineering College,
Sivakasi -626005 Tamil Nadu
Email: youvarajgp at yahoo.com rratha at mepcoeng.ac.in

Candidates are expected to arrange T.A. from their own resources.

This Teachers’ Enrichment Workshop (TEW) is aimed primarily at mathematics teachers at the under graduate and post graduate levels. While research scholars in mathematics may also apply, they will have lower preference
in the selection. The sessions will be geared towards improving the understanding of the fundamental concepts and results in Complex Analysis, Transforms and Numerical Techniques. The workshop will be an intensive one and only those who
are willing to actively participate and to get their hands dirty by solving problems need to apply.

Dates: 

Monday, July 4, 2022 - 19:00 to Saturday, July 9, 2022 - 19:00

Venue: 

Venue Address: 

Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi
626005, Tamil Nadu

 

 

Venue State: 

Venue City: 

PIN: 

626005

Chrono Order: 

369

Syllabus: 

 SPEAKERS, THEIR AFFILIATIONS, AND TOPICS

Speaker Affiliation Number of lecture hours Number of tutorial hours Detailed Topic(s)
G. P. Youvaraj RIASM, Chennai 9 2 (conduct) + 2 (assist)

Complex Analysis:
Holomorphic functions, Cauchy-Riemann equations, analytic functions
expressible as power series (Taylor series) and local properties of holomorphic
functions.
Singularities, Laurent series expansion, discussion of zeros and singularities of
analytic functions, Complex integration, Rouché’s theorem and applications of the
Residue Theorem, with an emphasis on computing/estimating improper Riemann
integrals via contour integration.
Linear transformations, linear fractional transformations, mappings of the upper
half plane and mappings by the Exponential function.
Ramesh Kasilingam IIT Madras 9 2 (conduct) + 2 (assist) Transforms:
Fourier series representation of continuous and discrete time periodic
signals, applications of Fourier transform for continuous and discrete time
signals, Fourier transform pair, Convolution theorem and Parseval’s
identity.
Laplace transform and its properties, Transform of periodic functions,
Inverse Transforms and application to solution of linear ODE with constant
coefficients.
Z-transform, Elementary properties, Inverse Z-transform and Solution of
difference equation using Z-transform.
Y. V. S. S. Sanyasiraju IIT Madras 9 2 (conduct) + 2 (assist)  Numerical Techniques:
Introduction to error analysis, solutions of linear system of equations by fixed-
point and Gauss-Seidel iterative methods and their convergence.
Interpolation: Lagrange, Spline Interpolation and Least square method for
curve fitting. Eigenvalues of a matrix by Power method and numerical
differentiation and integration (Basic idea).
Numerical solutions for first order ODEs. We will use MATLAB to solve
practical problems.

References:

  1. James Ward Brown and Ruel V. Churchill, “Complex Variables and Applications”, McGraw-Hill Education, 9th Edition, 2014.
  2.  Erwin Kreyszig, “Advanced Engineering Mathematics”, John Wiley & Sons Pvt. Ltd, Singapore, 9th Edition, 2006, (Reprint 2013).

 

Time Table: 

 

Time 09:30 to 11:00   11:15 to 12:45   14:00 to 15:30   15:45 to 16:45   
  Lecture   Lecture   Lecture   Tutorial  
Mon 4th GPY   RK L YVSSS   GPY & RK S
Tue 5th YVSSS T GPY U RK T YVSSS & GPY N
Wed 6th RK E YVSSS N GPY E RK & YVSSS A
Thu 7th GPY A RK C YVSSS A GPY & RK C
Fri 8th YVSSS   GPY H RK   YVSSS & GPY K
Sat 9th RK   YVSSS   GPY   RK & YVSSS S

 

  • GPY = G. P. Youvaraj,
  • YVSSS = Y. V. S. S. Sanyasiraju
  • RK = Ramesh Kasilingam

GPY – 9 lecture hours + 4 tutorial hours;
YVSSS – 9 lecture hours + 4 tutorial hours;
RK – 9 lecture hours + 4 tutorial hours

Note: Tutorials will be conducted by one speaker and will be assisted by another speaker.
Note: Last date for receiving online application forms: 15 th June (Wednesday), 2022.
Note: Selected list of applicants will be available on 25th June (Saturday), 2022.

Selected Applicants: 

 

Sr. SID Full Name Gender Affiliation Position in College/ Univ University / Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Deg. Date
1 38870 Mrs. M. Geetha Female Kamaraj College of Engineering and Technology Assistant Professor V. V. Vanniaperumal College for Women 2007  
2 38876 Dr Vasundhara S Female GNITS Asst Professor Andhra University 2000 13/09/2014
3 38883 Mr. Visuvasam James Male Rathanavel Subramaniam College of Arts and Science Assistant Professor Madurai Kamaraj University 2015 07/04/2022
4 38886 Mr. K Dhurai Male Government College of Engineering, Dharmapuri Assistant professor Periyar E V R College, Trichy.    
5 38899 Dr Karthikeyan Shanmugam Male KPR Institute of Engineering and Technology Coimbatore Assistant Professor (Sl.G) Bharathiar University 2008 25/02/2022
6 38906 Mrs Akila Saravanakumar Female The Standard Fireworks Rajaratnam College for women, Sivakasi College Mother Teresa university 2007  
7 38909 Mr Santiago Stephen Male Francis Xavier Engineering college Hod , department of mathematics St. Xavier's college, MSU 2001  
8 38915 Dr Vignesh Kumar Chandrasekaran Male Rathnavel Subramaniam College of Arts and Science Assistant Professor M.Sc Mathematics 2015 09/04/2022
9 38918 Mr Dineshkumar S Male Dr. N. G. P. Institute of Technology Assistant Professor Sri Ramakrishna Mission Vidyalaya College of Arts and Science 2016  
10 38923 Ms. Poornima E Female Kalaimagal College of Arts and Science, Pandalgudi. Assistant Professor Madurai Kamaraj University, Madurai 2017  
11 38929 Ms. Swathi Sundari S Female V.V.Vanniaperumal College For Women Assistant Professor Virudhunagar Hindu Nadars' Senthikumara Nadar College 2018  
12 39008 Ms Abbiramy L.K Female Sri Parasakthi college for women Assistant Professor Lady doak college 2017  
13 39355 Mrs. Vetri Selvi Selvaraj Female Mepco Schlenk Engineering College Assistant Professor The Standard Fireworks Rajaratnam College for women, Sivakasi    
14 39361 Dr Arul Joseph Gnanaprakasam Male SRM Institute of Science and Technology Assistant Professor Loyola College, Chennai 2011 28/08/2018
15 39369 Mr. Jeyarambharathi A.M. Male Hindustan Institute Of Technology And Sciences Research Scholar Meenakshi Academy Of Higher Education And Research Chennai 2016  
16 39394 Mr Subramanian Krishnamoorthy Male RAMCO Institute Of Technology Assistant Professor Ayya Nadar Janaki Ammal College, Sivakasi 2006  
17 39411 Dr Perumal R Male SRM Institute of Science and Technology Assistant Professor Bharathiar 2005 04/06/2014
18 39420 Dr Arulprakasam R Male SRM Institute of Science and Technology Assistant Professor University of Madras 2005  
19 39424 Dr. Athithan Singaram Male SRM Institute of Science and Technology, Assistant Professor Madras University/ M.Sc. 2009 11/01/2016
20 39468 Dr Parimala V Female Sri Krishna College of Technology Assistant Professor Seethalakshmi Ramaswamy college 1996 11/01/2019
21 39475 Dr. M. Suresh Male SRM Institute of Science and Technology Assistant Professor M.Sc 2009 08/03/2019
22 39585 Ms. A Sai Lekshmi Female National Institute of Technology Puducherry PhD University of Kerala M.Sc. 2020  
23 39600 Mr. Varadha Raj M Manivannan Male Vellore Institute of Technology, Vellore. PhD student Sacred Heart College 2019  
24 39717 Dr Nagarajan Murugesan Male Sri Sai Ranganathan Engineering College Assistant Professor BHARATHIAR UNIVERSITY 2007 11/08/2014
25 39812 Dr M.Gilbert Rani Female Arul Anandar College (Autonomous), Karumathur, Madurai Dist Asst.Professor V.V.V College 2006 12/09/2012
26 39886 Dr. Rameshkumar M Male P. A. College of Engineering and Technology, Pollachi Associate Professor NGM College, Pollacji 2006 12/07/2018
27 40141 Dr Smita R Kabbur Female KLS Gogte Institute of Technology, Belagavi. Assistant Professor Karnataka University,Belagavi 1996  
28 40237 Ms. Vishakha Ashok Gujarkar Female Kamla Nehru Mahavidyalaya, Nagpur Assistant Professor R T M N University Nagpur 2015  
29 40530 Mr. B. Baranidharan Male National Institute Of Tehnology Puducherry Research Scholar BHARATHIDASAN UNIVERSITY 2020  
30 40894 Mrs Ramalakshmi R Female Rajapalayam Rajus' College Assistant Professor Ayya Nadar Janaki Ammal College 2011  
31 40899 Ms. Jeromi Jovita J Female J. J. I COLLEGE OF ARTS AND SCIENCE PhD M. Sc 2020  
32 40996 Mr Manivannan P Male Mepco Schlenk Engineering College, Sivakasi Asst. Professor 81.35 2007  
33 41013 Dr. Chandra Guru Sekar R Male Mepco Schlenk Engineering College, Sivakasi Asst. College of Engineering Guindy, Chennai 2014 24/08/2017
34 41092 Mr. M Vishnu Sankar Male Rajapalayam Rajus' College Assistant professor Madurai Kamaraj university 2014  
35 41133 Mr Siva Pradeep M Male Sri Ramakrishna Mission Vidyalaya College of Arts and Science Ph.D Student Bharathiar University 2020  
36 41143 Mrs. Sankari Alias Deepa Female Rajapalayam Rajus college Asst. Professor M.Sc 2015  
37 41144 Mrs M Kavitha Sasva Female Rajapalayam Rajus College Asst. Professor M.Sc 2004  
38 41154 Mr Sanjayprabu S Male Sri Ramakrishna Mission Vidyalaya College of Arts and Science PhD Student KG COLLEGE OF ARTS AND SCIENCE, COIMBATORE 2020  
39 41156 Dr Kamatchi N Male Kamaraj College of Engineering and Technology Associate Professor Ayya Nadar Janaki Ammal College, Sivakasi 2003 14/09/2013
40 41169 Ms Abinaya Thangamani Female Kamaraj College, Thoothukudi Research Scholar Shrimathi Devkunvar Nanalal Bhatt Vaishnav College For Women, Chromepet, Chennai - 600044 2021  
41 41172 Mr. Deepak N P Male Sri Ramakrishna Mission Vidyalaya College Of Arts And Science PhD Research Scholar Sri Ramakrishna Mission Vidyalaya College Of Arts And Science 2019  
42 41252 Ms R Muruga Jothi Female Government arts and science college, sattur Guest lecturer Sri S. R. N. M college, sattur 2010  
43 41257 Dr. Rajesh Kannan Alagarsamy Male Mepco Schlenk Engineering College (Autonomous), Sivakasi Assistant Professor (Selection Grade) M..K.University Madurai 2001 03/10/2020
44 41259 Ms Deepika R Female VIT UNIVERSITY CHENNAI CAMPUS PH.D UNIVERSITY OF MADRAS 2020  
45 41268 Dr. Anantha Kumar Ramasamy Male MEPCO Schlenk Engineering College (Autonomous) Asst.Prof. (sr.G) Madurai kamaraj University 2005 15/09/2014
46 41296 Mr Anu Souriar Male Erode Arts and Science college. Ph. D Scholar MG University 2016  
47 41297 Dr. Chitra Ganesan Female Kalasalingam Academy of Research and Education, Krishnankoil. Assistant Professor M.Sc Maths 2005 06/05/2021
48 41300 Dr M Palanivel Male Mepco Schlenk Engineering College (Autonomous) Assistant Professor Gandhigram Rural Institute - Deemed University 2010 27/06/2016
49 41313 Dr. B Prakash Male PSR ENGINEERING COLLEGE, SIVAKASI Assistant Professor Madurai Kamaraj University, Sivakasi 2010 18/04/2018
50 41329 Mr. B M Tamilzharasan Male Erode Arts and Science college (autonomous) Ph.D Erode Arts and Science College 2017  
51 41330 Ms Saranya M Female VELLORE INSTITUTE OF TECHNOLOGY Ph.D D.G.VAISHNAV COLLEGE OF ARTS AND SCIENCES 2020  
52 41343 Ms Ilavarasi R Female ERODE ARTS AND SCIENCE COLLEGE,
ERODE-09		 PhD SRI VASAVI COLLEGE, ERODE 2017  
53 41345 Mr R Manojkumar Male Erode Arts and Science college (Autonomous) PhD Erode Arts and Science college Erode-9 2017 01/07/2019
54 41346 Ms Rajakumari R Female Vellore Institute Of Technology , PhD Loyola College , Chennai 2021  
55 41350 Dr. Usha Mahalingam Female Mepco Schlenk Engineering College Assistant Professor Madurai Kamaraj University 1999 15/05/2015
56 41353 Ms Srija Ramesh Female VIT University Chennai Campus Ph.D UNIVERSITY OF MADRAS 2020  
57 41362 Dr. M Saravanan Male Government Arts and Science College, Sattur, Tamilnadu Guest lecturer Ayya nadar janaki ammal college, Sivakasi 2009 29/01/2018
58 41372 Mr. Balamoorthy S Male Central University of Tamilnadu PhD Ayya Nadar Janaki Ammal College 2017  
59   Dr. N. Saranya    Sri Kaliswari College, Sivakasi, TN        
60   Mrs. Anubala    Sri Kaliswari College, Sivakasi, TN        
  Wait-listed candidate      
1 39622 Dr. Sudhananda Maharana Male GIET University Assistant Professor M.Sc. 2012 06/11/2017
2 39784 Mr. Madhukar Ganpat Andhale Male Saraswati College Of Engineering ,Navi Mumbai Assistant Prof. PUNE UNIVERSITY 2008 01/07/2021
3 40168 Mr. Komal Prasad Sharma Male Manipal University Jaipur Ph.D. DBRA University Agra 2002 01/01/2018
4 40671 Mr. Shubham Garg Male IIT Jodhpur PhD IIT Ropar 2019 01/09/2020
5 41164 Dr. Akilahmad Gulamzamir Sheikh Male G. H. Raisoni College of Engineering Assistant Professor Govt. Vidharbha Institute of Science and Humanities 2007 23/02/2018

 

 

How to Reach: 

TBA

School Short Name: 

catnt

Last Date Application: 

Wednesday, April 15, 2020

School Type: 

TEW

Separate faculty form: 

0