Measure theory
MATH-303
Media
Welcome to MATH 303 - Measure Theory
Instruction Team
Course Instructor
Ethan Ackelsberg
email: ethan.ackelsberg@epfl.ch
Office: MA B1 507
Teaching Assistants
Szymon Sobczak (Exercise Class)
email: szymon.sobczak@epfl.ch
Time and Place
The course has 2 hours of lecture and a 2 hour exercise session each week.
Lecture: Mondays 13:15 - 15:00 in GR A3 31
Exercises: Mondays 15:15 - 17:00 in GR A3 31
Office hours are held weekly 10 - 11 in MA B1 506.
Course Assessment
There are two main forms of assessment for the course: homework assignments and a final exam.
The homeworks will typically consist of a problem related to the material covered in the most recent lecture, to be solved, written up, and uploaded to Moodle for grading. The grade is based on correctness and clarity of presentation. There will be occasional deviation from the standard assignment format, which will be announced in class and on Moodle.
The final exam will be a written exam. It is scheduled to take place on Wednesday, January 14, 9:15 - 12:15 in BCH 2201.
The final grade for the course is computed as a weighted average of the homework (25%) and exam (75%) scores.
Course Schedule
- Announcements (Forum)
- Course Schedule (File)
- Course Materials (Page)
- Homework Assessment Criteria (Page)
- Guidelines on Mathematical Writing (Page)
- Last Year's Lecture Notes (File)
- Supplementary Notes on Topology (File)
- Lecture Notes 1 (File)
- Slides (File)
- Warmup sheet (File)
- Exercise Sheet 1 (File)
- Exercise Solutions 1 (File)
- Lecture Notes 2 (File)
- Problem sheet 2 (File)
- Exercise Solution 2 (File)
- Homework 1 Solutions (File)
- Lecture Notes 3 (File)
- Exercise Sheet 3 (File)
- Exercise Solutions 3 (File)
- Homework 2 Solutions (File)
- Lecture Notes 4 (File)
- Exercise Sheet 4 (File)
- Exercise Solutions 4 (File)
- Homework 3 Solutions (File)
- Review: main definitions and theorems for integration in measure spaces (File)
- Lecture Notes 5 (File)
- Exercise Sheet 5 (File)
- Exercise Solutions 5 (File)
- Homework 4 Solutions (File)
- Lecture Notes 8 (with proof of Riesz Representation Theorem) (File)
- Jigsaw Activity (all parts) (File)
- Exercise Sheet 8 (File)
- Exercise Solutions 8 (File)
- Homework 5 Solutions (File)
- Lecture Notes 10 (File)
- Exercise Sheet 10 (File)
- Exercise Solutions 10 (File)
- Countable Product Spaces (File)
- Haar Measure (File)
- Hausdorff Dimension (File)
- Countable Product Spaces - Solutions (File)
- Haar Measure - Solutions (File)
- Hausdorff Dimension - Solutions (File)
- Lecture Notes 13 (File)
- Exam Study Guide (File)
- Last Year's Exam (File)
- Last Year's Exam Solutions (File)
- Solutions to Study Guide Problems (File)