Coordinators:
Pranay Goel and Chaitanya Athale
Projects:
Class projects are entirely optional. We will adopt the following
policy for projects: if you choose to do a modelling project for this
class, you can add upto 30 points over and above the usual 100 grade
points for the class. e.g. If you get a total of 80 points in the
mid/endsems/assignments, and you do a project and get 25 points, your
total is 105 points (out of 100) -- which makes it a straight A. (Anything above 100 will, of course, be treated as 100.)
A project has to involve modeling a system mathematically: either
analytically or numerically, or any combination of either. A formal
report has to be written up on your project (in Latex only), and a
short 10+5 min. presentation is required. All of the above will
contribute towards the final project grade.
Lectures:(PG) Introduction to modelling
with ordinary
differential equations (ODEs).
(PG) Numerical approximations of ODEs. Reading material: Gershenfeld.
(PG) Introdution to XPPAut. Reading material: XPPAut tutorial at
www.pitt.edu/~phase and book chapter in Computational Cell
Biology, Fall et al.
(PG) Introduction to modelling with partial differential equations (PDEs).
(PG) Numerical approximations of PDEs with finite element methods.
(Chetan Gadgil, NCL) Reaction-diffusion modelling.
(CA) Please refer to the class notes at http://www.iiserpune.ac.in/~cathale/
(Priya Iyer) Cellular Automata. Please obtain the handouts directly
from the instructor.
Case Studies in mathematical modelling:
13th Feb, 10am till 12noon in Ramanujan -- Sangameshwar Patil
(TRDDC, TCS, Pune.)
Abstract: Graph mining and other research at
TRDDC, TCS. Talk slides: Introduction to Graph Mining:
Frequent Subgraph Discovery. The FSG algorithm is available in the paper at http://glaros.dtc.umn.edu/gkhome/node/170.
20th Feb, 10am till 3pm in Ramanujan -- Amitabha Bose (NJIT, USA /
JNU, New Delhi): Lectures on
mathematical neuroscience.
The philosophy of mathematical modelling:
27th March, 10am till 1pm in Raman -- Sundar Sarukkai (Director, Manipal Centre for Philosophy and Humanities): "The Art of Applying Mathematics".
Modelling Laboratory:(PG) ODE Modelling Experiments.
(PG) COMSOL tutorial. Please obtain the handout
from me.
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