General Prerequisites: Part A Differential Equations 1.
Course Overview: This course aims to provide an introduction to the tools and concepts of dynamical systems theory which have become a central tool of both applied and pure mathematics with applications including celestial mechanics, mathematical biology, fluid dynamics, chemical reaction networks, and social sciences.
The course will focus on both ordinary differential equations and maps. It will draw examples from appropriate model systems and various application areas. The problem sheets will require basic skills in numerical computation (numerical integration and visualisation of solutions of differential equations).
The first half of this course is part of the core syllabus for the MSc in Mathematical Modelling and Scientific Computing A2 Mathematical Methods. Synopsis items marked with * are NOT part of the MSc syllabus
Learning Outcomes: Students will have developed a sound knowledge and appreciation of some of the tools, concepts, and computations used in the study of dynamical systems. They will also get some exposure to some modern research topics in the field.