LEARNING OUTCOMES
After this course a student will know basic methods in measure and integration theory.
Credits: 5
Schedule: 21.10.2024 - 29.11.2024
Teacher in charge (valid for whole curriculum period):
Teacher in charge (applies in this implementation): Juha Kinnunen
Contact information for the course (applies in this implementation):
CEFR level (valid for whole curriculum period):
Language of instruction and studies (applies in this implementation):
Teaching language: English. Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
valid for whole curriculum period:
Outer measure (properties of measurable sets, characterizations of measurable sets, Lebesgue outer measure), measurable functions (properties of measurable functions, approximation by simple functions, Egoroff and Lusin theorems), integration (construction and properties of integral, Lebesgue integral, convergence theorems), Fubini's theorem.
Assessment Methods and Criteria
valid for whole curriculum period:
Homework assignments and attendance (100%).
Workload
valid for whole curriculum period:
Contact hours 36 h (lectures and tutorials), self-study and homework assingments ca 100 h.
DETAILS
Study Material
valid for whole curriculum period:
The lecture notes and homework assignments are available on the course homepage.
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
SDG: Sustainable Development Goals
4 Quality Education
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Language: English
Teaching Period: 2024-2025 Autumn II
2025-2026 Autumn II