Postgraduate Course: MIGS: Measure and Integration (MATH11214)

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 Measure Theory and Lebesgue Integration. As such it provides a solid and broad foundation to the more pure aspects of mathematical analysis and places many of the techniques of applied analysis on a firm footing. Applications to fractals are included.
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: Thoroughly understand measure theory and theorems of convergence: Monotone and Dominated Convergence Theorems, Radon Nikodym theorem, L^p spaces, product measures, Riesz representation theorems, differentiation of measures. Appreciate applications of abstract theory of measure to fractal sets and Hausdorff dimensions.