6 ECTS credits
150 h study time
Offer 1 with catalog number 1012235BNR for all students in the 2nd semester at a (B) Bachelor - advanced level.
Syllabus is available
- The student can make abstraction of the metric context and masters notions of convergence and continuity in a topological setting.
- The student has insight in the essential differences compared to the metrizable context and knows their impact on the study of compactness.
- The can use topological properties to classify spaces.
- The student is used to work with initial and final constructions, recognizes the importance with respect to the study of function spaces and has insight in results such as the theorem of Ascoli-Arzela for uniform convergence on compact subsets.
- The student can analyse proofs and understands the logical reasoning behind them. For a given proposition the student is aware of the role the conditions play in the proof.
- The student can complete easy proofs that are left as an exercise or that are only partially explained in the syllabus or in class. The missing arguments can be filled in independently.
- The student masters the mathematical language and is able to produce correct mathematical formulations and proofs.
- The student has an overall insight in the material, has a deep understanding of new concepts and results and is aware of the connection between de various concepts.
- The student is able to make the link between concepts on one hand and illustrating examples on the other hand.
- The student has insight in the relation to analogous concepts as they were introduced in other courses.
- The student can independently solve problems: he/she is able to recognize a problem, to choose an appropriate strategy, to select the most suitable method
The final grade is composed based on the following categories:
Oral Exam determines 60% of the final mark.
Written Exam determines 40% of the final mark.
Within the Oral Exam category, the following assignments need to be completed:
Within the Written Exam category, the following assignments need to be completed:
This offer is part of the following study plans:
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)