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This course treats the general notion of a measure defined on a sigma-algebra, construction of measures with help of outer measures, in particular the Lebesgue measure in Rd. These concepts are then used to define the integral of a…

The course treats: Linear systems of ordinary differential equations in the complex plane. Power series solutions. Singular points. Frobenius method. Some classical differential equations and special functions. Boundary value…

The course covers: Differentiable manifolds, their tangent spaces and tangent bundles. Riemannian metrics and their unique Levi-Civita connection. Geodesics and the important Riemann curvature tensor and its influence on the local…

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: Group representations: linear representations, equivalent representations, regular representation, induced and restricted representations, irreducible representations, Maschke’s Theorem, dual representations and…

The course treats: The method of characteristics and nonlinear equations of the first order. Laplace’s equation. The heat equation. The wave equation. The Cauchy–Kowalevski theorem. Sobolev spaces. Existence, uniqueness and…

The course treats basic properties of signed and complex measures: Hahn and Jordan decomposition, absolute continuity and the Radon-Nikodym theorem, singularity, Lebesgue decomposition of measures, differentiability of finite Borel…

The thesis should be a synthesis and further development of the knowledge and competences gained during the three terms of course work in LUMES on top of undergraduate studies. The thesis work should develop…

The course addresses political approaches to and perspectives on sustainability issues and place these in relation to the actual ability to address sustainability challenges. It tackles both central political factors as well the creation…

The course provides interdisciplinary perspectives from the field of environmental geography aimed at studying the dynamics of social and environmental change in particular places. It covers perspectives from a variety of research fields,…

The course briefly reviews economic theories and economic growth and analyses their environmental and social consequences, for instance, environmental degradation, social welfare and equity. Students will develop competencies in critically…

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 covers specific methods, techniques and debates around measures designed to mitigate climate change. It familiarises the student with technical, social and governance processes to implement, among others, large-scale renewable…

The aim of the course is to provide students with an in-depth understanding of climate change adaptation, centered around the concepts of risks, vulnerability and justice. The course presents and discusses various solutions for climate…

The course deals with societal transformation as a concept and as action in relation to climate change. It links to previous programme courses on mitigation and adaptation and introduces processes and potential for more fundamental changes…

The course explores a range of methods and tools for understanding and taking action on societal challenges posed by climate change and aims to analyse the implications, challenges and opportunities in applying them in practice. Building…

The study of media, communication and culture has a rich tradition in various methodological positions in the social sciences and humanities. This course critically evaluates established methodological perspectives on research methods in…

You can perform a Master's Degree project of 30, 45 or 60 credits in either General Molecular Biology, or one of the specialisations Medical Biology, Microbiology or Molecular Genetics and Biotechnology. The prerequisites for a Master´s…

The course contains elements of research ethics with a focus on principles of good scientific practice and regulations for ethics review and procedures on issues of misconduct. The course also provides knowledge and training in…

During the course, the student studies a research area related to current research. Possible themes include human rights in governmental and non-governmental organizations, human rights and political values, migration and refugees,…