Syftet med detta arbete är att jämföra International Baccalaureate Diploma Programme (IB), med svenska SP och NV program. Detta görs genom att besvara frågan hur innehållen i matematikkurserna på IB programmet skiljer sig från matematikkurser som ges i de svenska programmen. Inte enbart innehållet i kurserna jämförs utan även timplanen granskas för att undersöka om arbetsbördan i programmen skiljer sig åt. Den lättaste matematikkursen som undervisas i IB programmet, Mathematical Studies är mest lik de svenska Matematik A-C kurserna. Den andra IB kursen, Mathematical Methods täcker framförallt Matematik A-E kurserna medan den tredje kursen, Mathematics Higher Level stämmer bäst överens med Matematik kurserna A-F och Matematik-diskret.

Detta examensarbete handlar om hur datatrafik över en satellitlänk kan optimeras för att minska laddningstider och överförd datamängd. Syftet med studien är att undersöka i vilken omfattning datatrafik mellan fartyg och land via satellitlänk kan styras så att trafiken blir effektivare. Genom att använda DNS-mellanlagring, mellanlagring av webbsidor samt annonsblockering med pfSense som plattform har examensarbetet utfört experiment emot olika hemsidor och mätt laddningstid samt överförd datamängd. Resultatet visade att det fanns stora möjligheter att optimera nätverkstrafiken och de uppmätta resultaten visade på en minskning av datamängden med 94% och laddningstiderna med 67%..

The purpose of this thesis has been to build a parameterized model of a prototype motor in the program Solidworks, to use in future optimization of aspects of effectiveness and weight. The result were two models. The first model were one minor part of the whole design in 2D, to be able to optimize and study the minor part with a faster loss simulation. The second model was the whole design in 3D. The whole model were done with the three programs Solidworks, Comsol and Matlab.

Gravitational lenses are unlike ordinary optical lenses, a phenomenon corrupting our optical view of the cosmos. When we look out intospace we see celestial bodies lying with astronomical distance from Earth. There is no guarantee that what we see out there in space is actually there where we are observing it, and it may be that we see multiple images of the same star! Studies have shown that thenumber of distorted images of an n-mass (n > 1) plane lens can not exceed 5(n -1) for lighter lenses or 5n for more massive lens. This mathematical thesis covers gravitational lensing and their properties that distort light rays coming towards us from distant celestial bodies. In addition of gravitational lensing, its properties and the proof of the maximum number of distorted images, a bigger part of this work even cover two very interesting mathematical tools - the so-called Schwarz function and Bezout theorem..

This study investigates the teaching strategies of four teachers, and determines which teaching strategies give better results in mathematics at the middle school level? Result here means the knowledge level of the students. The result has been measured through leave out a mathematical test, which I leave out designed. Teaching strategies have been assessed through interviews with teachers and observations of their lessons.My study shows that to go through the lessons thoroughly in the traditional way, and open discussions with the whole class are best for students achievements.The information available, however, is too limited to draw some general conclusions, but my study can be seen more like a counter-example to the general praxis that is short lectures and individual assessment with one to one communication when teaching mathematics..

This report documents the process of designing a laboratory exercise in Fourier analysis at Vetenskapens Hus (House of Science) in Stockholm. The lab is designed for high school students studying science or technical education. It focuses on the physicalunderstanding and mathematical description of sound, in particular music. A model of such a lab is presented in this work; containing a review of the mathematical theory, summary of educational research in the field, descriptions of the design process and of the investigativework that led to the final result. The designed material for the lab includes developed computer programs, visit leader tutorial and description for teachers. .

The objective of this thesis was to develop a method for the planning of road upgrading at Holmen Skog, a Swedish forest company. A critical issue for creating such plans is to identify roads that are suitable to upgrade to a standard that can handle heavy traffic during spring thaw, since spring thaw is a bottle neck for transporting timber. The method was tested in a case study at a district. The work consisted of two parts. The first was to retrieve and prepare geographical data for the roads.

Swedish students' knowledge of both mathematics and reading comprehension has deteriorated in recent years. Scientists are discussing whether there is a connection between these areas and that the pupils deteriorating math skills may have something to do with their increasingly lower results in terms of reading comprehension. To investigate this possible connection, I conducted a survey among students in ninth grade and have come to the conclusion that the scientists are right: this connection absolutely exist. Students who received a high score on tasks designed to test students' mathematical problem-solving skills, also received high results on the reading comprehension test. And students who received a poor performance on the problem-solving tasks, were also low performers in the reading comprehension test.

In this thesis, the four types of math problems that occur in the digital educational math game Zcooly Affären 2 have been analyzed. Focus has been aimed at how the problems mediate instructions and mathematical concepts to players, and how the mathematical content is supported by the context within the game. The result shows both positive and negative aspects of the math problems, based on the theories for math education used in this thesis. Apart from the analysis of the game, this thesis also presents earlier research regarding what possibilities digital games possess as tools for learning. Researchers have partly different views on how digital games should be designed to enhance learning, and whether or not games are efficient to use for learning purposes..

This paper is a literature study on search engine optimization (SEO) considering the leader of the search engine market: Google. There´s an introductory background description of Google and its methods of  crawling the Internet and indexing the web pages, along with a brief review of the famous PageRank algorithm. The purpose of this paper is to describe the major important methods for improved rankings on Google´s result lists. These methods could be categorized as on-page methods tied to the website to be optimized or off-page methods that are external to the website such as link development. Furthermore the most common unethical methods are described, known as ?black hat?, which is the secondary purpose of the text.

At the department of Electronic Warfare Assessments at the Swedish Defence Research Agency in Linköping one of the activities is modelling and simulation of the duel between a robot and a target. The aim with this Master's thesis is to develop a simulation model of an hovering helicopter. First a theoretical description of the forces and moments acting on an helicopter is given. Then the equations of motion are derived. These equations are simplified to be valid only for a hovering helicopter and the result is a mathematical model.

The Swedish agricultural sector is currently experiencing substantial structural changes, where the number of agricultural enterprises continuously decreases and the average farm size increases. In order to maintain competitiveness, it is important to be aware and adapt to changes concerning the surroundings of the company (Johnson et al., 2011). Agricultural commodity prices sharply fluctuate on the global market in recent years, affecting the profitability of farmers. High volatility market requires tools to reduce price variations and increases the need of decision-making (Bouder & Beth, 2003). Farm-based grain handling facilities increases the sale options regarding agricultural commodities; a flexible strategy to get additional compensation for the storing the grain produced on the farm (Edling, 2002; Edwards, 2013).

NorFor is a cooperative project between the consulting organisations owned by the farmers in the Nordic countries ? Sweden, Norway, Denmark and Iceland. The project started in 2001 and the outcome, the system for ration calculation NorFor Plan and the model for evaluating the ration NorFor Evaluation, was completed in 2006. Along with NorFor Plan economical optimization are available and according to literature, the optimization will generate a 2 öre lower feed cost per kg milk, and thereby improve the profit for the farmer. The use of NorFor Plan in Sweden for feed optimization during spring 2008 has been very small. In this study eight herds in the middle of Sweden fed half the herd according to the classical system used in Sweden and the other half according to NorFor Plan system.

This paper investigates the possibilities to construct automatized portfolios based on optimizations strategies that could outperform comparable indexes. The study is based on time-series of Swedish stocks dating from 1986 to 2006. In the research four different portfolio optimization techniques were studied. These were: the Classical Markowitz Approach, Mean-Absolute-Deviation, Minimum-Regret and Conditional Value-at-Risk of which the three latter are based on generated scenarios. The behaviour of these models was studied for different choices of parameters such as backward time-horizon and targeted average return.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.