MATH0017 Measure Theory

Term 1 2025/26

University College London

Lecturer: Aleksander Doan ([email protected])

Teaching assistants: Jun Cheng, William Magarey

Syllabus: https://www.ucl.ac.uk/maths/sites/maths/files/math0017.pdf

Course materials: Lecture notes, homework, quizzes, past exams on Moodle

Final mark: 90% Exam, 10% Coursework

Coursework: Weekly homework problems, presentations of solutions at weekly problem sessions with the lecturer and teaching assistants

Prerequisites

To follow the course, you must ****be familiar with basic set theory, supremum and infimum, limsup and liminf, limits, and series. I strongly recommend reviewing this material thoroughly, including doing relevant problems.

All of these topics are discussed in Analysis 1 and 2 modules but there are also many freely available textbooks covering them, for example Lectures 1—9 of the MIT lecture notes by Dote and Rodriguez and the corresponding assignments.

Below is a more detailed list of prerequisites, but the topics listed above are essential.