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The course focuses on a number of key post-Wall German novels, especially novels from the 1990s which directly or indirectly highlight historical events after the fall of the Wall and the German reunification. The novels are studied in…

The course is divided into two halves, the first covers probability theory and the second covers statistics. The course covers: Sample space, Events, Basic set theory, Axioms of probability. Conditional probability, Independent events…

The course treats: Markov chains: model graphs, Markov property, transition probabilities, persistent and transient states, positive and null persistent states, communication, existence and uniqueness of stationary distribution, and…

The course treats stochastic processes in discrete and continuous time. The main elements are: Models for stochastic dependence.Concepts of description of stationary stochastic processes in the time domain: expectation, covariance, and…

The student chooses in consultation with supervisors and examiner an independent examination assignment comprising 15 credits. The assignment can either be linked to current scientific projects at the Division of Mathematical Statistics or…

The content and execution of the degree project are planned in consultation with a supervisor. The degree project consists of an independent smaller research assignment that can either relate to current projects at the department or to…

The course is given during the autumn semester at Lunds university and at the Technical University of Denmark in Lyngby. The graduate course in Advanced Time Series Analysis has its target audience amongst students with technical or…

Time series analysis concerns the mathematical modelling of time varying phenomena, e.g., ocean waves, water levels in lakes and rivers, demand for electrical power, radar signals, muscular reactions, ECG-signals, or option prices at the…

The course deals with model building and estimation in non-linear dynamic stochastic models for financial systems. The models can have continuous or discrete time and the model building concerns determining the model structure as well as…

Bayesian methods for stochastic modelling, classification and reconstruction. Random fields, Gaussian random fields, Kriging, Markov fields, Gaussian Markov random fields, non-Gaussian observations. Covariance functions, multivariate…

The course consists of two related parts. In the first part we will look at option theory in discrete time. The purpose is to quickly introduce fundamental concepts of financial markets such as free of arbitrage and completeness as well as…

The course treats: Functions of several variables: basic topology in R3, continuity, Differential calculus of functions of several variables: partial derivatives,differentiability, the chain rule, gradient and directional derivatives…

The course treats: The real numbers: axioms, examples of proofs of basic arithmetical rules. The elementary functions, polynomials, rational functions, the exponential function and the natural logarithm, the trigonometric functions…

The course treats: Elementary logic and set theory Basic properties of the natural numbers and the integers: induction, divisibility, Euclid’s algorithm Basic properties of polynomials: divisibility, Euclid’s algorithm Complex…

The course treats: Functions of several variables, basic topology in R^n. Continuity, theorems about continuous functions. Differentiable functions, gradients and directional derivatives. Taylor's formula. Extreme values…

The course treats Matrices: matrix operations, matrix inverse, matrix rank Determinants: definition and properties Linear spaces: subspace, span, linear dependence/independence, basis, dimension Euclidean spaces: scalar product,…

The course treats: Basic properties of Fourier series of functions in one variable. Exponential form and trigonometric form. Riemann-Lebesgue lemma. Elementary conditions for pointwise and uniform convergence. Gibbs phenomenon. Basic…

The course treats: Number theory: divisibility, prime numbers, the Euclidean algorithm, Chinese remainder theorem, modular arithmetic Sets, functions and relations, equivalence relations Combinatorics: the four cases of counting with…

The aim of the course is to give necessary knowledge of digital image analysis for further research within the area and to be able to use digital image analysis within other research areas such as computer graphics, image coding, video…

The course treats basic theory of analytic functions: Elementary properties of analytic functions in one variable. Complex differentiability and Cauchy-Riemann equations. Calculation rules. Elementary examples of analytic functions:…

The course treats: Existence and uniqueness of solutions to initial value problems for systems of ordinary differential equations. Approximation of solutions and continuous dependence on parameters. Linear systems with variable and…

The course treats multiplicative number theoretic functions, Möbius inversion formula, properties of Euler's totient function, primitive roots and indices, quadratic residues, the Legendre symbol and its properties, the quadratic…

The course treats: quadratic forms and matrix factorisation, convexity, separating planes and Farkas’ Lemma, the theory of optimization with and without constraints, Lagrange functions, Karush-Kuhn-Tucker theory, duality, methods for…

The course comprises: Matrices and determinants. Linear spaces. Spectral theory.The Jordan normal form. Matrix factorizations. Matrix polynomials and matrix functions. Norms. Scalar products. Singular values. Normal matrices…

The degree project requires a literature survey and specialised studies. Furthermore, a number of compulsory activities are included, in the form of teaching sessions and seminars that treat e.g. scientific writing in English and Swedish,…

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…

A central part of the course is existence- and uniqueness theorems about measures defined on sigma-algebras, integration theory, conditional expectation and weak convergence in metric spaces.

The course treats the geometry of curves and surfaces, especially in three dimensions. In particular, we study the concepts of curvature and torsion. The course covers: The geometry of curves in Euclidean space, their curvature and…

The course treats: Finitely generated groups: free groups, Nielsen-Schreier Theorem, group presentations, finitely presented groups. Free products: free products with amalgamation, HNN extensions. Solvable groups: polycyclic groups,…

The course treats: Groups: Permutation groups. Burnside's lemma with application to Pólya arithmetic. Sylow's theorems. Symmetric and alternating groups. The structure of finitely generated Abelian groups. Rings: Noetherian and…

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…

The themes are covered significantly through a variety of scientific readings and reflection that exemplify different approaches and perspectives for analysing and interpreting present and future water resource availability, the political…

The main aim of the course is to provide conceptual frameworks for studying and evaluating the impact that social movements for sustainability can have on the public agenda and decision-making. The course is a seminar course,…

In the course we will discuss the broad field of gender studies and the central issues, key concepts and analytical tools in the current debates regarding inequalities, diversities and social change relevant for sustainability. The course…

The course also provides an understanding of and an ability to analyse and understand political questions and decision making in relation to climate mitigation and climate adaptation. Based on this, the course aims to provide a deepened…

By highlighting four key emerging and persistent global health challenges: The unavoidable health impacts of climate change (heat-stress, extreme cold, flooding, rising incidence of vector borne-diseases) The prevailing sanitation…

As a result, the notion of inner transformation (or inner transition) has emerged as a new area of exploration. The course explores this new area and creates space and opportunities for learning and knowledge development on this topic…

The course focuses on the ‘political’ character of sustainability issues, that is, the necessarily power-laden nature of both sustainability problems themselves, and the solutions that are proposed to address them. The course provides an…

This increase of sustainability discourses in the daily practices of society might contribute to shifting the current unsustainable trajectory. For this course, popular culture is defined as the entirety of attitudes, ideas…

The course constitutes a 3rd term elective (non-compulsory) course at LUMES, 51ÖØ¿ÚÁÔÆæ Master's Programme in Environmental Studies and Sustainability Science.

In this course we will learn about a gender perspective on Science and Technology. The course starts with a theoretical part, where we look at what we know from research and investigations. During this you will familiarise yourself with…

The course gives you  fundamental skills in data handling using Python. The focus is on exploratory data analysis, leveraging visualizations and data summaries to extract insights from datasets. Additionally, the course covers data…

The course covers broad programming aspects essential for scientists.  The following aspects are addressed: Use of UNIX-based operating systems, such as Linux Overview of the use of programming in various scientific fields …

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…

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…

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…