What Is This?

An AI-powered study assistant for Analytical Mechanics II (Spring 2026), taught by Prof. Ali Akbar Abolhasani at Sharif University of Technology. The AI agent is constrained by strict rules to deliver exam-quality answers based only on the course materials in the vault.

Key Features

Source Prioritization

Answers come exclusively from lecture_notes/ and textbook/ — no external knowledge is used. This ensures the AI's responses match the professor's notation and methodology.

Trap Detection

The AI actively flags exam tricks and edge cases that students commonly miss. This includes:

• Hidden assumptions in problem statements
• Edge cases in coordinate transformations
• Common sign errors in Lagrangian mechanics

Exam-Quality Solutions

Step-by-step solutions scored to 100% standard, written in academic Persian.

Vault Architecture

Topics Covered

Lagrangian Mechanics

The Euler-Lagrange equation:

$\frac{d}{dt}\left(\frac{\partial L}{\partial \dot{q}_i}\right) - \frac{\partial L}{\partial q_i} = 0$

where $L = T - V$ is the Lagrangian.

Hamiltonian Mechanics

The Hamiltonian is defined via Legendre transform:

$H = \sum_i p_i \dot{q}_i - L$

Hamilton's equations:

$\dot{q}_i = \frac{\partial H}{\partial p_i}, \quad \dot{p}_i = -\frac{\partial H}{\partial q_i}$

Canonical Transformations

Transformations that preserve Hamilton's equations. Generated by a generating function $F$:

$p_i = \frac{\partial F}{\partial q_i}, \quad Q_i = \frac{\partial F}{\partial P_i}$

Source

Full Obsidian vault with cross-linked notes available on GitHub.