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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2023/2024

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DRPS : Course Catalogue : School of Mathematics : Mathematics

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

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Postgraduate) AvailabilityNot available to visiting students
SCQF Credits15 ECTS Credits7.5
SummaryThis 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 Students wishing to enrol on this course must contact generalenquiries@smstc.ac.uk for further information.
Course Delivery Information
Academic year 2023/24, Not available to visiting students (SS1) Quota:  3
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:
  1. Thoroughly understand the analytical concepts and methods developed in the uniqueness and existence theorems for solutions of PDEs.
  2. 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.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsNot entered
Contacts
Course organiserProf Benedict Leimkuhler
Tel:
Email: B.Leimkuhler@ed.ac.uk
Course secretaryMrs Katy Cameron
Tel:
Email: Katy.Cameron@ed.ac.uk
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