Postgraduate Course: MIGS: Dynamical Systems and Conservation Laws (MATH11211)

Course Outline
School	School of Mathematics	College	College of Science and Engineering
Credit level (Normal year taken)	SCQF Level 11 (Postgraduate)	Availability	Not available to visiting students
SCQF Credits	15	ECTS Credits	7.5
Summary	This course aims to present some basic concepts about the geometry of dynamics and bifurcations of ordinary differential equations. A large part of this is devoted to scalar equations where, despite their simplicity, many modern concepts of dynamical systems can be explained. The second part introduces partial differential equations describing conservation laws. Again we focus on scalar equations but conclude the module with systems of hyperbolic PDEs, shock waves, and entropy conditions. - Dynamical systems and bifurcation - Scalar conservation laws - Systems of hyperbolic PDEs and shock waves
Course description	The aim is to learn new things to get a broad education in the area as a basis for a wide range of PhD projects and for post-PhD employment. Unless otherwise noted, the details of the content of these courses can be found on the Scottish Mathematical Sciences Training Centre web site www.smstc.ac.uk

Entry Requirements (not applicable to Visiting Students)
Pre-requisites		Co-requisites
Prohibited Combinations		Other requirements	None

Course Delivery Information

Academic year 2022/23, Not available to visiting students (SS1)		Quota: None
Course Start	Semester 1
Timetable	Timetable
Learning and Teaching activities (Further Info)	Total Hours: 150 ( Lecture Hours 20, Programme Level Learning and Teaching Hours 3, Directed Learning and Independent Learning Hours 127 )
Assessment (Further Info)	Written Exam 0 %, Coursework 100 %, Practical Exam 0 %
Additional Information (Assessment)	100% coursework
Feedback	Not entered
No Exam Information

Learning Outcomes
On completion of this course, the student will be able to: Thoroughly understand the analytical concepts and methods developed in the uniqueness and existence theorems for solutions of PDEs. Demonstrate familiarity with the tools developed in systems of differential equations appearing in dynamical systems and their behaviour as one changes the parameters appearing in them.