Update README.md

Author: andrewrosemberg

README.md

@@ -1,2 +1,48 @@
-# LearningToControlClass
-Optimal Control and Learning Course
+# Special Topics on Optimal Control and Learning — Fall 2025  
+*Georgia Institute of Technology – Fridays 2 pm ET*
+
+**Designers:** Andrew Rosemberg & Michael Klamkin  
+**Instructor of Record:** Prof. Pascal Van Hentenryck
+
+---
+
+## Overview
+This student-led course explores modern techniques for controlling — and learning to control — dynamical systems. Topics range from classical optimal control and numerical optimization to reinforcement learning, PDE-constrained optimization (finite-element methods, Neural DiffEq, PINNs, neural operators) and GPU-accelerated workflows.
+
+## Prerequisites
+* Solid linear-algebra background  
+* Programming experience in Julia, Python, *or* MATLAB  
+* Basic ODE familiarity  
+
+## Grading
+| Component | Weight |
+|-----------|--------|
+| Participation & paper critiques | **25 %** |
+| In-class presentations | **50 %** |
+| Projects | **25 %** |
+
+## Weekly Schedule
+
+## Weekly Schedule (Fall 2025 – Fridays 2 p.m. ET)
+
+| #  | Date (MM/DD) | Format / Presenter | Topic & Learning Goals | Prep / Key Resources |
+|----|--------------|--------------------|------------------------|----------------------|
+| 1  | 08/22/2025   | Lecture — Andrew Rosemberg | Course map; why PDE-constrained **optimization**; tooling overview; stability & state-space dynamics; Lyapunov; discretization issues | |
+| 2  | 08/29/2025   | Lecture | Numerical **optimization** for control (grad/SQP/QP); ALM vs. interior-point vs. penalty methods | |
+| 3  | 09/05/2025   | Lecture | Pontryagin’s Maximum Principle; shooting & multiple shooting; LQR, Riccati, QP viewpoint (finite / infinite horizon) | |
+| 4  | 09/12/2025   | Lecture | Dynamic Programming & Model-Predictive Control | |
+| 5  | 09/19/2025   | Lecture | **Nonlinear** trajectory **optimization**; collocation; implicit integration | |
+| 6  | 09/26/2025   | **External seminar 1** | TBD (speaker to be confirmed) | Trajectory **optimization** on robots in Julia Robotics | |
+| 7  | 10/03/2025   | Lecture | Essentials of PDEs for control engineers; weak forms; FEM/FDM review | |
+| 8  | 10/10/2025   | **External seminar 2** | TBD (speaker to be confirmed) | |
+| 9  | 10/17/2025   | **External seminar 3 — François Pacaud** | GPU acceleration of solvers; automatic differentiation on GPUs | |
+|10  | 10/24/2025   | Lecture | Physics-Informed Neural Networks (PINNs): formulation & pitfalls | |
+|11  | 10/31/2025   | **External seminar 4** | TBD (speaker to be confirmed) | Neural Differential Equations: PINNs + classical solvers | |
+|12  | 11/07/2025   | Lecture | Neural operators (FNO, Galerkin Transformer); large-scale surrogates | |
+|13  | 11/14/2025   | **External seminar 5** | TBD (speaker to be confirmed) | Scalable PINNs / neural operators; CFD & weather applications | |
+|14  | 11/21/2025   | Lecture | Robust control & min-max DDP (incl. PDE cases); chance constraints; Data-driven control & RL-in-the-loop | |
+
+---
+
+*Repository maintained by the 2025 cohort.*  
+Feel free to open issues or pull requests for corrections and improvements.