Explore an overview lecture introducing a new series on Differential Equations and Dynamical Systems. Delve into the world of systems that change over time, covering applications in fluid dynamics, elasticity, vibrations, weather and climate systems, epidemiology, biomechanics, space mission design, and control theory. Gain insights into the balance between classic and modern techniques, discover what lies beyond differential equations, and examine fascinating applications. Investigate the concept of chaos and get a sneak peek at upcoming topics. Designed for students with basic calculus knowledge and an interest in real-world modeling, this 30-minute video provides a comprehensive foundation for understanding dynamical systems and their wide-ranging applications.