Summer School 2024

About MathLab : Computational Tools

Welcome to MathLab, our immersive summer school meticulously designed to build strong conceptual foundations while equipping you with practical skills in GNU Octave.

Explore with us various numerical techniques for root-finding, solving differential-equations and analyzing continuous functions using Fourier Transforms.

Through interactive sessions and practical exercises, you’ll harness the power of GNU Octave to bring these concepts to life, applying each of the concepts that you learn to real-world problems.

Summer School 2024 was conducted over five days in June 2024. Each live teaching session was followed by a comprehensive problem set. The event saw over 1000 registrations from all over India.

Can I still access the programme?

If you’re enthusiastic about learning numerical techniques you can retrace the three day programme by watching the recorded versions of the live sessions and then solving the relevant problem sets.

Session I: Polynomial Rooting & Differential Scooting

The session covers Numerical Methods (Newton-Raphson and Bisection) to find roots of functions, and Classification of Differential Equations and solutions to linear ODEs.

Presented by: Deenabandhan N and Madhav Bharadwaj

Assignment

Solution

Session II: Numerical Navigators

The session covers numerical techniques to solve ODEs using Euler’s method and subsequent predictor-corrector improvements and PDEs using the finite-difference method along with an implementation of these techniques in GNU Octave.

Presented By Aditi Vaidya and Pranjal Varshney.

Assignment

Solutions

Session III – Signal Noise, Exponential Poise & Fourier Joys

The session covers LCCDEs, Fourier series, Fourier transforms, Noise in data and simple filters such as the Low pass filter. The session also contains implementaion of root finding techniques taught in session 1 and an implementation of a low pass filter in GNU Octave.

Presented by: Achintya Raghavan, Karthik Kashyap and Navin Kumar

Assignment

Solutions