Postgraduate Course: MIGS: Asymptotic and Analytical Methods (MATH11213)

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 covers several fundamental topics used to find solutions to differential equations. The course is divided into two main parts: asymptotic methods and contour integral methods. It includes a brief introduction to numerical methods. These develop a number of different modern analytical approaches to the integration of differential equations.
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 2025/26, Not available to visiting students (SS1)		Quota: 2
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: Learn an introduction to the applications of contour integral methods for differential equations. Thoroughly understand the applications of asymptotic methods such as multiple scales, boundary layers or singular perturbations in the integration of differential equations.