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Mathematik 2 für MEB/MM
(2018)
Vektorrechnung: Darstellung von Vektoren, Komponenten, Einheitsvektor, Addition, Subtraktion, Projektion, Skalarprodukt, Kreuzprodukt, Geraden, Ebenen Lineare Algebra: Darstellung, Rechnen mit Matrizen und Vektoren, Drehmatrix, lineare Gleichungssysteme (Eliminationsverfahren GAUSS oder GAUSS-JORDAN, inverse Matrix, über- und unterbestimmte Systeme), Determinanten (Rang einer Matrix, SARRUSsche Regel, CRAMERsche Regel), Eigenwerte und Eigenvektoren einer quadratischen Matrix
Fourier-Reihen: (Fourier-Reihe, reell, komplex, beliebige Periode, punktweise Funktion), Wellen (zeitliche und räumliche Ausbreitung von Wellen, Amplitude, Frequenz, Phase)
Differentialrechnung für Funktionen von mehreren Variablen: graphische Darstellung, skalare und Vektorfelder, partielle Ableitung, Differenzial, Gradient, Kettenregeln, Fehlerfortpflanzung
Integralrechnung für Funktionen von mehreren Variablen: konstante Grenzen, Produktzerlegung, Koordinatensysteme, Polarkoordinaten, Zylinderkoordinaten, Kugelkoordinaten, Trägheitsmomente, variable Grenzen
Gewöhnliche Differentialgleichungen: Klassifikation, Anfangswerte bzw. Randbedingungen, Trennung der Veränderlichen, Variation der Konstanten, DGL mit konstanten Koeffizienten, e-Ansatz, homogene, inhomogene DGL, charakteristische Gleichung, inhomogener Lösungen, Systeme linearer DGL Laplace-Transformation: Eigenschaften, Lösung einer DGL, Korrespondenztabellen, Partialbruchzerlegung, Rücktransformation, Übertragungsfunktion
Übungsbeispiele, Beispielklausur
It is a fundamental right of every natural person to control which personal information is collected, stored and processed by whom, for what purposes and how long. In fact, many (cloud based) services can only be used if the user allows them broad data collection and analysis. Often, users can only decide to either give their data or not to participate in communities. The refusal to provide personal data results in significant drawbacks for social interaction. That is why we believe that there is a need for tools to control one's own data in an easy and effective way as protection against economic interest of global companies and their cloud computing systems (as data collector from apps, mobiles and services). Especially, as nowadays everybody is permanently online using different services and devices, users are often lacking the means to effectively control the access to their private data. Therefore, we present an approach to manage and distribute privacy settings: PRIVACY-AVARE is intended to enable users to centrally determine their data protection preferences and to apply them on different devices. Thus, users gain control over their data when using cloud based services. In this paper, we present the main idea of PRIVACY-AVARE.
Applications for the Internet of Things are becoming increasingly popular. Due to the large amount of available context data, such applications can be used effectively in many domains. By interlinking these data and analyzing them, it is possible to gather a lot of knowledge about a user. Therefore, these applications pose a threat to privacy. In this paper, we illustrate this threat by looking at a real-world application scenario. Current state of the art focuses on privacy mechanisms either for Smart Things or for big data processing systems. However, our studies show that for a comprehensive privacy protection a holistic view on these applications is required. Therefore, we describe how to combine two promising privacy approaches from both categories, namely AVARE and PATRON. Evaluation results confirm the thereby achieved synergy effects.
Age-related changes in trunk muscle activity and spinal and lower limb kinematics during gait
(2018)
Trends and Advances in the Characterization of Gas Sensing Materials Based on Semiconducting Oxides
(2018)
Die vorliegende Masterarbeit analysiert die Problematiken effektiver grafischer Repräsentationen in digitalen Informationssystemen, die mit besonders hoherund dynamischer Datendichte und Datenquellen einhergehen. Anschließend an die Analyse der Problematiken erarbeitet der Autor dieser Forschungsarbeit ein konzeptuelles Modell zur Bewältigung der geschilderten Problematiken, auf Basis von semantisch beschriebenen, wiederverwendbaren grafischen Visualisierungselementen und den ebenfalls semantisch beschriebenen in die Visualisierung zu überführenden Daten. Besonders hervorzuhebende Erkenntnisse dieser Masterarbeit sind die Identifikation von Qualitätskriterien zur Zielführung einer effektiven Visualisierung gemäß der visuellenWahrnehmung des menschlichen kognitiven Systems, die Notwendigkeit zur Erweiterung der Vokabularmenge der schema.org-Ontologie zur Anwendung der identifizieren Qualitätskriterien und das Auffinden geeigneter Visualisierungselemente sowie das Zuordnen der Daten zu entsprechenden Visualisierungselementen über den Aufbau und Vergleich einer Baumstruktur für sowohl die Daten als auch die der Visualisierungselemente. Diese Forschungsarbeit ist von besonderer Relevanz für Entscheider, Projektmanager und Softwareentwickler, die digitale Informationssysteme mit einer hohen Anzahl an heterogenen Datensätzen und Datenquellen entwickeln.
Vehicles powered by electricity are the future of mobility in Germany. At the present
time, electromobility is rather hesitantly implemented in Germany, particularly due to
concerns regarding charging infrastructure and battery power/technology.
The purpose of this research project is to forecast – by using scenario planning techniques - how electromobility will influence the way we move in Germany by 2035. The outcome are three distinct scenarios that reflect the possible shift towards E-Mobility in Germany, especially taking into consideration the charging infrastructure, different battery technology and type of electric vehicle. In order to generate scientifically significant scenarios, input factors (Descriptors) were designed in accordance with the newest research findings from literature. Additionally, special ratios between all possible manifestations of input factors were defined, compared and evaluated.
Social Innovations in the extended Lake Constance area – an overview of the current activities
(2018)
In recent years the importance of social innovation for societies is rising. Therefore, the European Union realized, that political goals can be successfully achieved through social innovations.1 The concept is offering solutions for social challenges broadly based and in a variety of different fields Thus, the focus of this paper will be to identify social innovation activities in the Lake Constance area and the problems which are being solved through those activities. It will therefore provide a quantitative analysis of the identified projects including the main idea of the activity as well as information about the innovators. The key outcomes of this paper are, that social innovators are mainly focusing on current political challenges such as the refugee crisis. Problems which the society is already facing for a longer period of time, are less focused. It could further be identified, that the majority of social innovators are students or graduates. Also, most of the activities have their origin in bigger cities such as Stuttgart, Karlsruhe or Heidelberg.
The relation between Frugal Innovation and Sustainability is a widely discussed topic in current academic literature. To assess the correlation between these two concepts, a sample of the most frequently mentioned Frugal Innovations was selected. The criteria to evaluate the sustainability potential for each of these cases was built upon the UN Sustainable Development Goals, a global reference indicator. Frugal Innovations among the banking, transport, energy, ICT, water, appliances and healthcare sectors were evaluated. The results suggested a positive contribution and impact of Frugal Innovations towards economic, social and environmental development.