TEW Differential Equations, Mathematical Modelling and Analysis (2018)- Speakers and Syllabus

 

The Teacher Enrichment Workshop is a programme funded by the National Centre for Mathematics (A joint centre of TIFR & IIT Bombay). The TEW is meant for college teachers to revisit and update their content-knowledge. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared and work-out routine to advanced exercises.

Syllabus:

Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
Prof. V.D. Sharma
IIT Bombay
9 Method of characteristics and general solution of first order PDEs;
Riemann problem; conservation laws and Burger’s equations;
Cauchy problem for second order PDEs.
First order ordinary differential equations, growth and decay model.
Euler’s equation. Power series solution of a differential equation
about an ordinary point, solution about a regular singular point.
Prof. Inder K. Rana
IIT Bombay
6 From Rationals to reals, understanding limits, from Riemann integration
to Lebesgue integration.
Dr. Tanvi Jain
ISI, Delhi
5 Metric spaces - examples, sequences, continuity, complete and compact metric spaces.
Introduction to convex functions and Fixed point theory.
Prof. Mani Mehra
IIT, Delhi
3 Classification of second order PDEs. Complete study of one
dimensional parabolic equation.
Dr. Mukund Madhav Mishra
Hansraj College,
University of Delhi
1 Fourier Series and its convergence.

 Time-table (with names of speakers and tutors):

Day Date Lec 1
9:30
to
10:30
Tea
10:30
to
11:00
Lec 2
11:00
to
12:00

Lec 3
12:00
to
1:00

Lunch
1:00
to
2:00
Lec 4
2:00
to
3:00
Tea
3:00
to
3:30
Discu / Lab
3:30
to
4:30
Tea
4:30
to
5:00
    Speaker   Speaker Speaker   Speaker   Speaker  
Tue 24-7-2018 Inder K. Rana   Inder K. Rana Mani Mehra   Mukund M.
Mishra
  Mukund M.
Mishra
 
Wed 25-7-2018 Inder K. Rana   Inder K. Rana Tanvi Jain   Mani Mehra   Mukund M.
Mishra
 
Thu 26-7-2018  Inder K. Rana   Inder K. Rana Tanvi Jain   Mani Mehra   Vivek
Kumar
 
Fri 27-7-2018 Tanvi Jain   V.D Sharma V.D Sharma   V.D Sharma   Vivek
Kumar
 
Sat 28-7-2018 Tanvi Jain    V.D Sharma  V.D Sharma   V.D Sharma   Vivek
Kumar
 
Sun 29-7-2018  V.D Sharma    V.D Sharma V.D Sharma   Tanvi Jain   Tanvi Jain Valedictory
Session

Name of the tutors/Lab Session

Sr.n Name Affiliation
1 Dr. Vivek Kumar Delhi Technological University
2 Dr. Tanvi Jain ISI, Delhi
3 Dr. Mukund Madhav Mishra Hansraj College,University of Delhi