In early January 2010 the authors participated in a meeting with the chief engineer for a company in which a central part is manufacturing of printed circuit boards (PCB). At this meeting it emerged that the machinery and production methods have changed substantially since the early 1990's. The spreadsheet for preliminary production time calculations by the company is today based on conditions from almost 20 years ago. The company has over the years been trying to adjust the spreadsheet template. The result of these adjustments has filled it with historical residue, something which makes the template difficult and time consuming when the primary user tries to handle it.The purpose of this study was to help the company increase its accuracy in the representation of the production times for the different PCB-based products by developing a new costing model based on an already existing but inadequate spreadsheet template. The company also expressed the wish that the new costing model would be less time consuming to work with.The methods used to achieve the goal are interviewing, participatory observations and meetings with relevant persons. The data obtained were analyzed using the theory on PCB production and visualization of data.

Background: Investors have several options to choose from when the goal is to achieve the highest yield at the lowest cost and risk. Stocks are a common investment options, but is also associated with risks. Portfolios are usually constructed with several different assets to reduce the unsystematic risk of investment. Funds are similar to composite stock portfolios, the big difference is that they dealt with in their entirety and investors may not affect the fund's content. The problem remains that whether you choose stocks or mutual funds there is still uncertainty as to how the future will unfold.

Inom matematikämnet har e-bedömningar, aktiviteter där digitala tekniker används för att bedöma studenters kunskaper, inte utvecklats i samma takt som e-bedömningar inom andra områden. Detta beror sannolikt på det stora inslag av symboler och icke-standardiserade tecken som karakteriserar matematiskt språk och särskiljer det från traditionellt skriftspråk. Ett problem som har noterats i samband med e-bedömningar inom matematik är att inmatningen av matematiska uttryck i ett digitalt system i många fall varit långsam och svår att begripa. Den här rapporten syftar till att undersöka tre kategorier av inmatningsmetoder utifrån aspekterna snabbhet, korrekthet och upplevd lätthet för att på så sätt skapa en bild av vilken av teknikerna som lämpar sig bäst att implementera i en e-bedömningsapplikation riktat mot den svenska gymnasieskolan. För att uppnå syftet har jag granskat tre familjer av tekniker genom att låta gymnasieelever genomföra inmatningar av matematiska uttryck och analysera dessa inmatningar baserat på inmatningstid, korrekthet och upplevd lätthet.Resultaten visar på att det finns tydliga skillnader mellan de undersökta teknikerna med avseende på samtliga undersökta aspekter.

The purpose of my examination work was to show the need for support for students with another mother-tongue than Swedish, so that these students would be able to get through mathematics tuition better. To achieve this purpose, I chose to start from the perspective that presented itself at interviews with two class teachers and two mother-tongue supervisors. I also chose to use the qualitative research interview as study method, as I tried to understand those informing me in a thorough and in-depth way. In my study I have had a sociocultural perspective as starting point where the conceptions teaching, language and communication, support and individualizing are central for the development of knowledge. The questions for my study during this process were as follows: What difficulties, according to the teachers interviewed can occur for second language students in mathematics? What ways and methods of working do the teachers chosen give priority to, so that   the second language students` results in mathematics will improve? The results from my interviews show that the difficulties with mathematics for second anguage students can be perceived as being dependent on a combination of reasons, where amongst other things language plays a central part.

In early January 2010 the authors participated in a meeting with the chief engineer for a company in which a central part is manufacturing of printed circuit boards (PCB). At this meeting it emerged that the machinery and production methods have changed substantially since the early 1990's. The spreadsheet for preliminary production time calculations by the company is today based on conditions from almost 20 years ago. The company has over the years been trying to adjust the spreadsheet template. The result of these adjustments has filled it with historical residue, something which makes the template difficult and time consuming when the primary user tries to handle it.The purpose of this study was to help the company increase its accuracy in the representation of the production times for the different PCB-based products by developing a new costing model based on an already existing but inadequate spreadsheet template. The company also expressed the wish that the new costing model would be less time consuming to work with.The methods used to achieve the goal are interviewing, participatory observations and meetings with relevant persons. The data obtained were analyzed using the theory on PCB production and visualization of data.

In this report a study is carried out with the aim to identify added values of EPC projects implemented in schools in order to increase the interest of EPC projects on the market. The report examines how the planned maintenance, supervision, maintenance and corrective maintenance is affected, how insurance premiums and terms are affected, the indoor environment and how the tasks of the operating staff is changing. A literature study of energy savings, energy use in schools, maintenance and insurance as well as how energy efficiency improvements are related to the Swedish environmental objectives has been made. Visits were carried out in Ludvika, interviews were also carried out with operation technicians and local strategists in Ludvika as well as employees of insurance companies.Schools often have neglected maintenance and problems with ventilation and indoor environment. Schools also have a large energy saving potential due to their low utilization, mainly because they are empty parts of the year.

In this report a study is carried out with the aim to identify added values of EPC projects implemented in schools in order to increase the interest of EPC projects on the market. The report examines how the planned maintenance, supervision, maintenance and corrective maintenance is affected, how insurance premiums and terms are affected, the indoor environment and how the tasks of the operating staff is changing. A literature study of energy savings, energy use in schools, maintenance and insurance as well as how energy efficiency improvements are related to the Swedish environmental objectives has been made. Visits were carried out in Ludvika, interviews were also carried out with operation technicians and local strategists in Ludvika as well as employees of insurance companies.Schools often have neglected maintenance and problems with ventilation and indoor environment. Schools also have a large energy saving potential due to their low utilization, mainly because they are empty parts of the year.

Ett centralt processteg för sågverk är att sönderdela stockar med olika sågmönster. Vid sönderdelning uppstår ett visst råvaruspill, men genom att använda rätt sågmönster till varje enskild stock kan detta spill minimeras. Som ett steg i att göra detta försorteras därför timmer i ett antal timmerklasser som samlar stockar med liknande egenskaper. Råvarustyrning innebär att välja vilka mönster varje klass ska sågas med, hur stor andel av varje klass som ska sågas med dessa mönster samt att bestämma hur stockar sorteras till klasserna.I detta arbete utvecklas ett optimeringsverktyg som angriper problemet att optimera råvarustyrningen med avseende på de framställda produkternas försäljningsvärde. Problemet delas upp i två nivåer där linjärprogrammering kan användas i den ena nivån med syfte att, givet en uppsättning klasser, optimera valen av sågmönster.

Fjärrvärmebranschen i Sverige har sedan mitten av 1990-talet varit i en stagnationsfas, där mängden producerad och förbrukad energi i stort sett varit konstant, trots stora investeringar i fjärrvärmenätet. Samtidigt har den höga andelen återvinning gjort att det råder brist på avfallsbränsle till energiåtervinning i Sverige. I kombination med hög konkurrens om avfallsbränslet har detta medfört att aktörerna på marknaden tvingats se sig om efter nya vägar att tillfredsställa behovet av bränsle, vilket lett till att det idag importeras stora mängder avfall för energiåtervinning från utlandet. Vid Vattenfalls fjärrvärmeverk i Uppsala har det mellan åren 2006-2013 återvunnits i snitt drygt 360 000 ton avfall per år. En stor del av detta hämtas in från lokala kunder, både kommuner och privata aktörer, men man har på senare tid även behövt börja importera avfall för att tillfredsställa energibehovet.

Den textila industrin, en egen värld, är nu under rampljuset som en av de största miljöpåverkande industrierna. Precis som i fallet med många andra industrier så måste textilbranschen intensivt arbeta med att minska sin negativa påverkan på miljön. Slutmålet måste vara att helt balansera uttagen och insättningarna så att man skapar en bransch som blir klimat- och miljöneutral. I denna rapport har en livscykelanalys gjorts på en underställströja från Helly Hansen tillverkad av 99 % polypropylene. Inom denna livscykelanalys har vi noggrant studerat och undersökt fakta för att hitta de processer som har den största påverkan på miljön.

In this report a study is carried out with the aim to identify added values of EPC projects implemented in schools in order to increase the interest of EPC projects on the market. The report examines how the planned maintenance, supervision, maintenance and corrective maintenance is affected, how insurance premiums and terms are affected, the indoor environment and how the tasks of the operating staff is changing. A literature study of energy savings, energy use in schools, maintenance and insurance as well as how energy efficiency improvements are related to the Swedish environmental objectives has been made. Visits were carried out in Ludvika, interviews were also carried out with operation technicians and local strategists in Ludvika as well as employees of insurance companies.Schools often have neglected maintenance and problems with ventilation and indoor environment. Schools also have a large energy saving potential due to their low utilization, mainly because they are empty parts of the year.

I detta tvärvetenskapliga arbete studeras från den matematiska sidan tre klassiska populationsmodeller: Malthus tillväxtmodell, Verhulsts logistiska modell och Lotka-Volterras jägarebytesmodell. De klassiska modellerna jämförs med stokastiska. De stokastiska modeller som studeras är födelsedödsprocesser och deras diffusionsapproximation. Jämförelse görs med medelvärdesbildade simuleringar.Det krävs många simuleringar för att kunna genomföra jämförelserna. Dessa simuleringar måste utföras i datormiljö och det är här den datalogiska aspekten av arbetet kommer in.

In this report a study is carried out with the aim to identify added values of EPC projects implemented in schools in order to increase the interest of EPC projects on the market. The report examines how the planned maintenance, supervision, maintenance and corrective maintenance is affected, how insurance premiums and terms are affected, the indoor environment and how the tasks of the operating staff is changing. A literature study of energy savings, energy use in schools, maintenance and insurance as well as how energy efficiency improvements are related to the Swedish environmental objectives has been made. Visits were carried out in Ludvika, interviews were also carried out with operation technicians and local strategists in Ludvika as well as employees of insurance companies.Schools often have neglected maintenance and problems with ventilation and indoor environment. Schools also have a large energy saving potential due to their low utilization, mainly because they are empty parts of the year.

The use of fossil fuels such as coal and gas are a contributor to the global warming. The climate change is a worldwide problem with far reaching consequences that is believed to be very expensive. The United Nations has been introducing a framework convention on climate change. One component of the convention is the Kyoto protocol. The protocol is obligating the developed countries to decrease their emissions of greenhouse gases by 5.2 percent during the time period 2008-2012.

In this report a study is carried out with the aim to identify added values of EPC projects implemented in schools in order to increase the interest of EPC projects on the market. The report examines how the planned maintenance, supervision, maintenance and corrective maintenance is affected, how insurance premiums and terms are affected, the indoor environment and how the tasks of the operating staff is changing. A literature study of energy savings, energy use in schools, maintenance and insurance as well as how energy efficiency improvements are related to the Swedish environmental objectives has been made. Visits were carried out in Ludvika, interviews were also carried out with operation technicians and local strategists in Ludvika as well as employees of insurance companies.Schools often have neglected maintenance and problems with ventilation and indoor environment. Schools also have a large energy saving potential due to their low utilization, mainly because they are empty parts of the year.