Mission
Our mission is to cultivate the ability to translate real-world problems into mathematical form — to reason from assumptions, build models with judgement, and interpret their predictions critically across science, engineering, and society.
Our mission is to cultivate the ability to translate real-world problems into mathematical form — to reason from assumptions, build models with judgement, and interpret their predictions critically across science, engineering, and society.
Mathematical Modelling is a rigorous study of how real-world phenomena are translated into mathematical form and interpreted back again. The course delves into the formulation, reduction, and validation of models applied to real-world scenarios, including dimensional analysis and scaling, ordinary and partial differential equations, traffic flow and fluid dynamics, difference equations and cellular automata, optimal control and inverse problems. It challenges participants to build models from first principles while critically examining their assumptions, limitations, and domain of validity.
Lectures
Projects
End Semester
Models
Remember that all models are wrong; the practical question is how wrong do they have to be to not be useful
Model building is the art of selecting those aspects of a process that are relevant to the question being asked
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work-that is, correctly to describe phenomena from a reasonably wide area.
| # | Topic | |
|---|---|---|
| 1 | Monday | 11:00 - 11:50 |
| 2 | Wednesday | 10:00 - 10:50 |
| 3 | Thursday | 09:00 - 09:50 |
| # | Assessment | Marks | Topics |
|---|---|---|---|
| 1 | Test 1 | 15 | Up to Topics Covered on 4th August 2026 |
| 2 | Test 2 | 15 | Up to Topics Covered on 9th October 2026 |
| 3 | Projects | 30 | 10 Modeling Projects |
| 3 | End Semester | 40 | End Semester |
| # | Topic | Date | |
|---|---|---|---|
| 1 | Introduction with Game | Lecture-1 | 03-08-2026 |
| 2 | Definitions | Lecture-2 | 05-08-2026 |
| 3 | Different Models | Lecture-3 | 06-08-2026 |
| 4 | Input/Output Systems | Lecture-4 | 10-08-2026 |
| 5 | Open/Closed Systems | Lecture-5 | 12-08-2026 |
| 6 | Mathematical Model | Lecture-6 | 13-08-2026 |
| 7 | State Variables and Reduced Systems | Lecture-7 | 17-08-2026 |
| 8 | Strategies | Lecture-8 | 19-08-2026 |
| 9 | Black Box System | Lecture-9 | 20-08-2026 |
| 10 | Ten Principles | Lecture-10 | 24-08-2026 |
Associate Professor
Research Scholar
In case of any doubts, please write to panch.m@iittp.ac.in or meet me in my office room during my office hours
Disclaimer: Contents in this website may have some typos or errors. So, please use it with caution. Some corrections are spelled out during lecture hours. In case, if you find any, please write to panch.m@iittp.ac.in