Mathematics of AI and Machine Learning: Derivatives

The first lecture of the series introduces the mathematical concept of a derivative as crucial in understanding the contemporary machine learning algorithms such are neural networks (deep learning). Motion, coupling the notions of time and distance, allows us to intuitively introduce the concept of the derivative as the best possible (ideal) approximation. We present the idea of an infinitesimal and ponder upon the idea of a derivative from algebraic, geometric and harmonic perspective. Finally, we learn ho