Master of Mathematics in Applied Mathematics - Control and Dynamical Systems in Waterloo Canada | University of Waterloo

This discipline focuses on differential equations, serving as the foundation for mathematical modeling across various domains such as physics, engineering, life sciences, and economics. The scope is extensive, covering classical ordinary and partial differential equations as well as contemporary approaches like delay and stochastic differential equations. Key areas of emphasis include control theory and dynamical systems.

Control theory involves manipulating physical or biological systems to reach specific objectives, mainly through feedback mechanisms. These systems are typically described by different types of differential equations. Meanwhile, dynamical systems theory examines the qualitative properties of solutions to both differential and difference equations. The latter forms the basis of discrete dynamical systems, with uses in fields ranging from biology to signal processing. An emerging concept is hybrid dynamical systems, which combine discrete events with continuous dynamics, offering a robust framework for modeling intricate reactive or intelligent systems where physical processes interface with automated environments.