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The course treats: • homotopy theory, the fundamental group, covering spaces • the Brouwer fixed point theorem, the Borsuk-Ulam theorem • deformation retracts, fundamental groups and homology of surfaces • surgery of manifolds, also called…

The course treats fundamental properties of Banach and Hilbert spaces and the bounded linear operators defined on them: Banach spaces, the Hahn-Banach Theorem, weak convergence and  weak precompactness of the unit ball. Hilbert…

The course treats applications of the Hahn-Banach theorem, weak convergence and compactness, the Riesz representation theorem, the use of orthonormal bases, boundedness, compactness and spectra of integral operators, the…

This course provides opportunities for participants to enhance their knowledge and skills in sustainability science through a deeper comprehension of the strengths and weaknesses of participatory methods. The course is based on…

The course turns to active musicians and music teachers and students at a Music Academy or the equivalent. The course contains advanced development and practise methods regarding tone formation, articulation, timbres and fingering…

The course includes advanced development and practice of tone formation, articulation, timbre, finger technique, special grips, and Sons filés. The students will be introduced to the solo piccolo repertoire ranging from Vivaldi to…

Students will learn advanced development and practice of tone formation, articulation, timbre, finger technique, special grips, and solo repertoire for the contrabassoon. The teaching consists of a mix between group lessons and individual…

Students will learn advanced development and practice of tone formation, articulation, timbre, finger technique, special grips, and solo repertoire for the bass clarinet. The teaching consists of a mix between group lessons and individual…

‘Just practise enough and everything will be fine!’ Is it really that simple? Why does it feel so difficult and discouraging at times? This course is designed for students at music academies, but also for active musicians and music…

Interdisciplinary understanding of security policy and medical science The course will give you an interdisciplinary understanding of the interplay between security policy and medical science, particularly in the light of contemporary…

Do you want to deepen your understanding of the two most common neurodegenerative diseases? This course provides you with in-depth knowledge of Alzheimer's and Parkinson's disease – from disease mechanisms to diagnostics, consequences, and…