This document provides an overview and introduction to an embedded computer systems course. It defines key concepts like digital systems versus embedded systems, and discusses characteristics of embedded systems like being single-functioned, tightly-constrained, and reactive in real-time. Examples of embedded systems are given like anti-lock brakes and digital cameras. The document outlines the course topics and highlights the main design challenge of optimizing multiple metrics like cost, power, performance and time-to-market for embedded systems.