Winter UDGRP 24

The secret handshake of information, passed down through generations.

Enumerative Combinatorics

Enumerative Combinatorics (By Hrishik Koley)

Here, we explored:

Group Theory (Geometric focus)
Generating Functions
Graph Theory
- Planar Graphs
- Perfect Graphs
- Ramsey’s Number and Theorem
Lovasz-Local Theorem
Kuratowski’s Theorem (Thanks to Aayushman Mallick & Arkaprovo Das for the presentation!)
Random Graphs and Ramsey’s Number (My Presentation 😉)

Resources and detailed Overview of the Course

Introduction to Dynamical Systems

Introduction to Dynamical Systems (By Aritrabha Majumdar)

This introductory course covered:

Basic Linear Algebra

Stability of Ordinary Differential Equations

Linear Systems

Non-Linear Systems (Local Theory)

Picard’s Method of Successive Approximation

Maximal Interval of Existence

Course notes: link

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:::{.highlight-card .fade-in}
## Enumerative Combinatorics

::: {.callout-note collapse="true"}
## Enumerative Combinatorics (By [Hrishik Koley](https://hrishik-koley.github.io))


Here, we explored:


- Group Theory (Geometric focus)
- Generating Functions
- Graph Theory
     - Planar Graphs
     - Perfect Graphs
     - Ramsey's Number and Theorem
- Lovasz-Local Theorem
- Kuratowski's Theorem (Thanks to Aayushman Mallick & Arkaprovo Das for the presentation!)
- Random Graphs and Ramsey's Number ([My Presentation](https://drive.google.com/file/d/1UxLhH8ogvzA7uRu-Fvv1YKaoC8QWKlkZ/view?usp=sharing) :wink:)


Resources and detailed Overview of the [Course](https://hrishik-koley.github.io/musings/enumerative_combinatorics/*)
:::

:::

:::{.highlight-card .fade-in}
## Introduction to Dynamical Systems

::: {.callout-note collapse="true"}
## Introduction to Dynamical Systems (By [Aritrabha Majumdar](https://paulpseudoman.github.io/))

>This introductory course covered:

>* Basic Linear Algebra
>* Stability of Ordinary Differential Equations
>    * Linear Systems
>    * Non-Linear Systems (Local Theory)
>* Picard's Method of Successive Approximation
>* Maximal Interval of Existence

Course notes: [link](https://paulpseudoman.github.io/DSnotes.pdf)
:::
:::