Lund University

This course provides a basic introduction to mathematical theory and methods in biology, with enough scope to enable the student to handle biologically phrased problems. Topics covered include population models with discrete or continuous time, pharmacokinetics and -dynamics, qualitative analysis of systems of differential equations, modelling of the spread of infectious diseases, bifurcations, limit cycles, and excitable media with applications to, e.g., predator-prey models, spatial methods with application to diffusion, and nerve conduction.

This course provides knowledge and experience in project form under strict deadlines. The students design and manufacture a complete car concept in the form of a formula car, where the entire process from initiation, feasibility study, planning, implementation and closure is treated. This course deals with the implementation and closure of inherited problems from Formula Student 1 - Initiation, Pre-Study and Design. In the course, students shoulder all the roles of a project group and through the course gain skills in applying knowledge from previous courses such as mechanics, electrical engineering, programming, solid mechanics, construction technology, manufacturing methods, and vehicle technology.  Admission requirements include completion of a minimum of 100 credits within relevant programs and MVKP05 Formula Student 1 - Initiation, Pre-study and Design.

The course focuses on the Scandinavian colonial expansion from 1600 to the early 20th century. Based on a number of case studies (e.g. resource colonialism in Sápmi and Greenland, plantations in the Danish West Indies, trade and consumption of colonial products), the course examines colonial discourses and practice and notice relationships between colonialism and resources/environment, economics, power, resistance and science and colonial inheritance. The course also explores the different cultural processes, such as creolisation, othering and ambivalence that takes place in colonial environments and manifests itself in material culture. The course introduces theoretical procedures for historical-archaeological studies of colonialism and presents different sources, methods and perspectives and central research questions.

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.