This lecture will cover the foundational elements of eco-evolutionary dynamics, providing an overview of the key components involved in modelling population and evolutionary processes. It will introduce core concepts related to quantitative phenotypic traits and explore how these traits link to population and community dynamics. The lecture will also discuss essential principles of quantitative genetics, the assumptions underlying these models, and how evolutionary dynamics emerge and feedback to influence population dynamics. Serving as an introduction, this lecture will act as a basic guide that will go through the steps required to develop a simple eco-evolutionary dynamical model.