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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 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…

This course covers modern econometric tools and empirical strategies used by economists and demographers for the analysis of cross-sectional and panel micro-data. The course teaches the econometric theory behind these techniques but also…

The course gives an introduction to basic concepts within time series analysis. The univariate analysis of time series in this course is based upon ARMA/ARIMA and ARCH-/GARCH models. Multivariate time series analysis is based on VAR models…

The course covers and discusses recent advances in Labour Economics, with an emphasis on empirical applications. Each lecture focuses on a specific topic. The course starts by discussing theories of labour supply and demand, and proceeds…

The course deals with the mechanisms behind and the effects of international trade. The course uses an advanced treatment in terms of topics and methodology, qualifying the student to carry out advanced analyses and the study of issues…

The objective of this course is to give the students an understanding and hands-on knowledge of fundamental methods within financial risk management. The course deals with two main topics: measurement and management of market risk and…

The course primarily treats issues related to economic growth using advanced dynamic macroeconomic models with intertemporally optimising agents. Within the framework of growth theory, dynamic models in continuous and discrete time…

The aim of this course is to provide students with the theoretical understanding of how a geographic database is built-up and how it can be used. You will study key concepts for handling geographic databases with special focus on spatial…

The course contains a number of different basic components of spatial analysis, both in terms of theoretical background and analytical methods. Some of the concepts and techniques covered in the course are point pattern analysis,…

The degree project requires a literature review and special studies. In addition, it includes a number of compulsory elements, in the form of lessons and seminars, which deal with, among other things, scientific writing in English and…

Simulation techniques is a field which merges experience in modelling with knowledge in Scientific Computing and programming skills. The course gives students in a late stage of their university studies the possibility to work, in small…

The course covers: Models of computational fluid dynamics Hyperbolic conservation laws and their basic properties (weak solutions, weak entropy solutions, shocks) Discontinuous Galerkin discretizations Simulations of gas dynamics…

The course gives an introduction to error estimates, convergence and stability, as well as existence and regularity of solutions to elliptic differential equations (PDEs). This is followed by an introduction to DUNE-FEM which discusses how…

The course provides students with a general overview of the development of Greek from Antiquity to the present, focusing on the period from the late Byzantine to the modern era with regard to changes in sound system, grammar and syntax…