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MJERA I INTEGRAL


Semester: 5
ECTS: 4
Status: Obavezan
Lessons: 2+1+0
Double: Ne
ECTS catalogue
Learning outcomes:

On successful completion of the course, students will be able to: 1. Precisely formulate the differences between finite and infinite sets, provide examples of countable and denumerable sets. They will also be able understand different formulations of the axiom of choice. 2. Explain the concepts of measurable spaces, measurable functions and abstract measure space using illustrative examples. 3. Describe the construction of Lebesgue measure and explain the difference between Jordan measure and Lebesgue measure, and present some corresponding examples. 4. Explain the construction of Lebesgue integral, formulate and prove the basic theorem about Lebesgue integral, including the monotone convergence theorem and the Lebesgue dominated convergence theorem. 5. Present Vitali’s immeasurable sets and examples of non-integrable functions. 6. Explain the different possibilities of proving the existence of mathematical objects with certain properties.

Teaching staff

Name Lectures Exercises Laboratory
VLADIMIR IVANOVIĆ1x1
8P
ĐORĐIJE VUJADINOVIĆ3x1
8P

New announcement - 19.09.2024 11:30

New announcement - 24.09.2021 08:42

New announcement - 20.09.2021 17:51

New announcement - 07.09.2019 10:04

New announcement - 13.01.2019 12:26

New announcement - 03.01.2019 18:21

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