Kursen behandlar: metriska och topologiska rum med exempel, produkttopologier, kontinuitet, sammanhängande topologiska rum, fullständighet och kompakthet, inklusive Arzela-Ascolis sats, exempel på tillämpningar och topologiska strukturer, exempel på metriska och topologiska rum med relevans för andra områden, såsom normerade rum och Hilbertrum.The course treats: topological spaces and metric spaces with examples, product topologies, continuity of functions, connectedness, completeness, and compactness, including the Arzela-Ascoli Theorem, examples of applications and topological structures, examples of metric and topological spaces relevant in other areas of mathematics, such as normed spaces and Hilbert spaces.

Kursens behandlar mått definierade på en sigma-algebra, konstruktion av mått med hjälp av yttre mått, i synnerhet Lebesgue-måttet på Rd. Dessa begrepp används sedan för att definiera integralen av en mätbar funktion med avseende på ett visst mått och studera dess egenskaper. Fokus ligger på konvergensteorem, det vill säga omkastning av gränsvärdesövergång och integration, samt upprepad integrationThis 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 measurable function with respect to a given measure and study its properties. The focus is on convergence theorems, that is, interchanging limits and integrals, as well

 Kursen behandlar kurvors och ytors geometri, företrädesvis i tre dimensioner. Speciellt studeras begrepp som krökning och torsion. Kursen behandlar: Geometrin hos kurvor i euklidiska rum, deras krökning och torsion och hur dessa bestämmer kurvorna. Geometrin hos ytor i euklidiska rum, deras första och andra fundamentalform, Gaussavbildningen, principalkrökningar, Gausskrökning och medeThe 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 torsion and how these determine the curves. The geometry of surfaces in Euclidean space, their first and second fundamental forms, the Gauss map, principal curvat

Kursen behandlar tillämpningar av: Hahn-Banachs sats, svag konvergens och kompakthet, Riesz representationssats, Ortonormala baser, Integraloperatorers begränsning, kompakthet och spektra, Spektralsatsen för kompakta, självadjungerade operatorer. 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 spectral theorem for compact, self-adjoint operators.

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, images, perspectives, and other phenomena that are within the mainstream of a given Culture. The most common pop culture categories are: entertainment (movies,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, images, perspectives, and other phenomena that are within the mainstream of a given Culture. The most common pop culture categories are: entertainment (movies,

Efter en introduktion till skillnaderna mellan webbskrapning och Application Programming Interfaces (API) lär sig studenten de grundläggande metoderna för att samla in data. Begränsningar för vilka typer av data som kan erhållas genom dessa metoder diskuteras ocksåAfter an introduction to the differences between approaches to web scraping, the student will learn to apply basic web scraping methods for collecting data. Limitations to what types of data are obtainable through these methods are also discussed.

Kursen behandlar breda programmeringsaspekter som är väsentliga för naturvetare. Det börjar med en grundläggande introduktion till relevant informationsteknik och avslutas med en fördjupad studie av ramverk för vetenskaplig dataanalys. Följande ämnen tas upp: Användning av ett UNIX-baserat operativsystem, till exempel Linux Översikt över användning av programmering i olika naturvetenskapligThe 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 (Data analysis, simulation, etc.​) Overview of common programming languages such as C++ and Python Basic concepts of object-oriented software design Basic Soft

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 the study of media in society and culture. The course is structured according to a critical reading of dominant methodological and epistemological perspectives oThe 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 the study of media in society and culture. The course is structured according to a critical reading of dominant methodological and epistemological perspectives o

Kursens första del inriktar sig på hälsoekonomiska utvärderingar (kostnadseffektivitet) med fokus på prevention, insatser och behandlingar för att förbättra eller skydda individens eller populationens hälsa. Hälsoekonomiska utvärderingar görs i syfte att erhålla underlag för prioritering av alternativa insatser eller behandlingsmetoder. Vi kommer att gå igenom varför och hur (metoden) ekonomiska uThe purpose of health economic evaluations is to supply a basis for prioritisation between different interventions and treatments. We will go through why and how economic evaluations are made, with special focus on assessing current examples in the literature. The other half of the course focuses on effect evaluations in non-controlled research designs by means of so called quasi-experimental meth

Kursen behandlar grundläggande egenskaper hos Banach- och Hilbertrum och begränsade lineära operatorer definierade på sådana rum: Banachrum, Hahn-Banachs sats, svag konvergens och svag prekompakthet av enhetsklotet. Hilbertrum. Exempel inklusive L2-rum. Ortogonalitet, ortogonalt komplement, slutna underrum, projektionssatsen. Riesz representationsteorem. Ortonormala mängder, Pythagoras satThe 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 spaces. Examples including L2 spaces. Orthogonality, orthogonal complement, closed subspaces, projection theorem. Riesz Representation Theorem. Orthonormal set

Kursen behandlar distributionsteorins grunder, testfunktioner, distributionsbegreppet, distributioner med kompakt stöd, operationer på distributioner, faltning, homogena distributioner och Fouriertransformen.The course treats the foundations of distribution theory test functions, the concept of a distribution, distributions with compact support, operations on distributions, convolution, homogeneous distributions and the Fourier transform.

Kursen behandlar grundläggande egenskaper hos mått med tecken och komplexamått: Hahn- och Jordanuppdelning, absolut kontinuitet och Radon-Nikodyms teorem, singularitet, Lebesgue-uppdelning av mått, deriverbarhet av ändliga Borel-mått på R^d, deriverbarhet av absolutkontinuerliga funktioner, Hardy-Littlewoods maximalfunktion och uppskattningar för densamma, Hardy-Littlewoods maximalfunkThe 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 measures on Rd, differentiability of absolutely continuous functions, the Hardy-Littlewood maximal function and the weak type estimate for it, the Hardy-Lit

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 understanding of the most important scientific questions and how these are reflected and dealt with in the international climate policy debate. The course also incThe 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 understanding of the most important scientific questions and how these are reflected and dealt with in the international climate policy debate. The course also inc

This course is offered as the only course of the fourth term and is the final course of the Lund University Master of Science Programme in International Development and Management (LUMID). The Master’s thesis is an independent piece of work that addresses development issues from a social science perspective within the context of the contemporary developing world. Students may write their thesis tThis course is offered as the only course of the fourth term and is the final course of the Lund University Master of Science Programme in International Development and Management (LUMID). The Master’s thesis is an independent piece of work that addresses development issues from a social science perspective within the context of the contemporary developing world. Students may write their thesis t

Kursens syfte är att behandla grundläggande frågor om vad vetenskap och den vetenskapliga metoden är; vad som skiljer god och riktig vetenskap från pseudovetenskap, från charlataneri och fusk; förhållandet mellan tro och vetande, religion och naturvetenskap; antropocentricitet och genusperspektiv inom naturvetenskap; och naturvetenskapens samhörighet med andra skapande verksamheter som målning, skThis course is intended to cover fundamental questions on the very substance of science and the scientific method; on what distinguishes good and proper science from pseudoscience, from charlatanry and plain cheating; the relation between belief and knowledge, religion and science; anthropocentricity and gender perspectives in science; and the similarities of science to other creative activities l

Vi kommer att arbeta ur ett globalt perspektiv och beakta hur en ökad global sammankoppling gällande politik, ekonomi, reglering, miljö, konflikter, migration och aktivism påverkar förståelsen av och arbetet med mänskliga rättigheter inte bara internationellt utan även på nationell och lokal nivå. Vi tittar på aktörer som innehar rättigheter eller har en skyldighet att realisera rättigheter. KurseThe global perspective means taking into account the ways in which increasing global connections – in politics, economy, regulations, environment, conflicts, migration, and activism – affect how human rights are conceived and used, internationally, nationally, and regionally. “Agents” refer both to agents that have human rights and agents that are responsible for realizing human rights. “Indicator

Kursen innehåller moment om forskningsetik med fokus på principer för god vetenskaplig sed samt regelverk för etikprövning och procedurer kring frågor om oredlighet. Kursen ger även kunskap om och träning i att planera forskningsprojekt. Kursen innehåller en del där metodologi, relationer mellan teori och metod, forskningsetik samt olika forskningstraditioner behandlas, samt en del med praktiska mThe 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 planning a research project. The course contains a part where methodology, research ethics and various research traditions are discussed, as well as practical method e

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, although it starts with a few lectures on the history and different theoretical perspectives on social movements, introducing the students to the relevant literature. TThe 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, although it starts with a few lectures on the history and different theoretical perspectives on social movements, introducing the students to the relevant literature. T

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 crises (causing preventable deaths and disease outbreaks, contributing to the poverty trap, affecting economic output, polluting the environment) The global dietBy 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 crises (causing preventable deaths and disease outbreaks, contributing to the poverty trap, affecting economic output, polluting the environment) The global diet