Lund University

The course covers properties of the real numbers R: completeness axiom, Cauchy sequences, cardinality of rational, and irrational numbers; Topology in Rn: open and closed sets, p-norms, convergence, compactness, the Bolzano-Weierstrass theorem, and connected sets; Continuous functions in Rn: intermediate value theorem, min-max theorem, uniform continuity, continuity of inverse functions, implicit function theorem; Convergence of sequences and series of functions: pointwise, absolute, and uniform convergence, term wise differentiation and integration, power series;  and examples of applications to selected topics relevant to mathematical research at the center for mathematical sciences. Admission to the course requires at least 30 credits in mathematics including knowledge corresponding to MATA31 Analysis in One Variable, 15 credits, MATA32 Algebra and Vector Geometry, 7.5 credits and NUMA01 Computational Programming with Python, 7.5 credits.

What is (in)security? Who are the subjects and objects of (in)security in contemporary politics? What is the role of gender, race, and class in creating different forms of (in)securities? The course Critical Security Studies analyzes the concept of security in political science and international relations and offer a radical rethinking of traditional perspectives based on critical theories. Starting from an understanding of mainstream debates in security studies, the course broadens what are considered security-related topics (by going beyond the discourse on armed conflict and the military) and develops the ways in which we analyze them. To do so, this course approaches the concept of security with theoretical and methodological lenses, using creative, art-based, and narrative methods for security analysis. Through this course, students familiarize themselves with contemporary security issues and learn to formulate research problems relevant to global and everyday (in)securities based on critical perspectives.
 

Pollution prevention solutions are attractive both to society in general and to industry but require knowledge in the fields of processes, products, and management in modern business organizations. The course explores solutions that use technical as well as managerial tools and methods. The course reviews the key aspects of process integrated environmental protection, including technical strategies to increase efficiency in water- energy- and material flows (exploring methods such as monitoring, maintenance, cleaner technology, process modification, on-site recycling, good housekeeping) and environmental management (including supply chain management and an introduction to current environmental management standards such as ISO 14000). Product related issues constitute a central part of the course looking into life cycle analysis, eco-design, and eco-labeling. The course also takes a wider perspective at industrial development and the engineer’s role and responsibility to work with industry to reduce environmental impacts. The course consists of lectures in combination with seminars, exercises, and a major assignment.

The course covers the translation between biology and mathematics; population models and spatial models, simulations: Deterministic versus stochastic simulations of mathematical models; weaknesses, strengths, and applicability; the Gillespie algorithm for stochastic simulations: Naive implementation and possible optimizations for large systems; cost functions; optimization methods including local optimization, thermodynamic methods, particle-swarm optimization, and genetic algorithms; and sensitivity analysis: Estimation of the uncertainty of determined parameter values. Strategies to achieve robustness. Admission to the course requires 90 credits Science studies, including knowledge equivalent to BERN01 Modelling in Computational Science, 7.5 credits or FYTN03 Computational physics, 7.5 credits and English 6/B. Admission to the course also requires knowledge in programming in Python equivalent to NUMA01, 7.5 credits or similar knowledge in Matlab, C++ or the like programming language.

The course is an introduction to vector calculus and a specialization of differential and integral calculus of functions of several variables. The course covers line and surface integrals; Green's formula, Gauss divergence theorem, and Stokes theorem; Basic potential theory. To be eligible for the course, 45 credits in courses in mathematics equivalent to MATA21 Analysis in One Variable (15 credits), MATA22 Linear Algebra 1 (7.5 credits), MATA21 Analysis in Several Variables 1 (7.5 credits), MATB22 Linear Algebra 2 (7.5 credits) and one of the courses NUMA01 Computational Programming with Python (7.5 credits) and MATA23 Foundations of Algebra, (7.5 credits) are required.
 

This course introduces and elaborates on diplomatic practices, such as negotiation and mediation. Central issues discussed and compared are varieties of diplomacy, newness and decline of diplomacy, cultural differences in international negotiation, and third parties in international negotiations. Practice and strategies are linked to various diplomatic actors, such as states, intergovernmental organizations (IGOs), nongovernmental organizations (NGOs) official, and unofficial diplomats. The course stresses the linkage between theory and practice in international relations.

Diseases that integrate physiology, cellular biology, and molecular biology with pathophysiology and pharmacology are central to this course. The course provides a comprehensive perspective on organ system related diseases, their complications, and treatments at the molecular, cellular, and systemic level. The course starts with a focus on basic pathophysiology at the cellular and molecular levels and an introduction to pharmacology with a focus on pharmacodynamics, pharmacokinetics and toxicology. The course covers various aspects such as pathophysiological mechanisms, pharmacological and non-pharmacological interventions, the mechanisms of the impact of drugs at the molecular, cellular and organ level and ethical considerations related to the UN Global Goals from a broad perspective. During the course, different parts of the drug development process are introduced – from the early pre-clinical stages to clinical trials and approval. Pre-req includes BIMB40 Organ Systems and Homeostasis of the Human Body.
 

Electricity consumption in the world is increasing, both in terms of quantity and as a proportion of total energy consumption. Wind power has the potential to make a major contribution to the electricity generation and this with very low CO2 emissions.
The course covers wind turbine design and operation as well as of atmospheric flows and the wind’s interaction with the turbines and their surroundings. The course describes the operation of the wind power plants, aero- and structural dynamics and control. Furthermore, special attention is paid to wind and wind measurements and, more comprehensively, electrical, political, economic and environmental aspects. 

This course provides basic knowledge of the culture of the Viking Age, such as it is presented in contemporary sources and in interpretations and applications from the past two centuries with a special focus on how this culture has gained considerable importance then and in modern times, in the Viking homelands, and the surrounding world. The course provides skills in interpreting, understanding and discussing certain contemporary sources both written (Old Norse literature, rune inscriptions, chronicles) and archaeological, and to analyze the nature of Viking culture's depiction in high and popular culture in fiction, film, media, monuments and cultural-political contexts with a certain emphasis on its relationship with the romantic tradition. The course highlights how the modern spread of Viking culture has been marked by academic and political disagreements.

This course acquires knowledge and skills about the principles, methods, and tools used in industry in the development of complex product systems. The course develops beyond one's own engineering discipline, to understand holistically a product development project, including the system-technical and economic perspectives over the product's entire life cycle, the project risks and technical risks, as well as a basic understanding of socio-technical systems – for example a product and its users, or a technical development organization.