In this video, we use direction fields (drawn as quiver plots) to illustrate the numerical integration of differential equations. We include a heuristic example of how one might try to adapt step size by comparing different orders of approximation.

In the first video, we present a biological circuit topology from Ma, Trusina, El-Samad, Lim, and Tang, "Defining network topologies that can achieve biochemical adaptation," Cell, 138: 760-773 (2009). This topology supports adaptation, which is not the absence of change in response to stimulation/stress, but, instead, the ability to produce delayed compensation for those changes. In the second video, we summarize the method of almost linear stability analysis used to solve for the dynamics of this example system.

To describe how oscillations are supported in systems of differential equations, we present a classic "Romeo and Juliet" picture of two-dimensional oscillations, and we analyze how trajectories change as nullclines are arranged at different angles in the phase plane. In addition to models based on traditional systems of differential equations, dynamical systems with time delays and dynamical systems with stochastic fluctuation (i.e. stochastic resonance) can also support oscillations.

In the five parts of this video, we define the derivative and then build a cribsheet of rules for expressing the slopes of simple functions and combinations of functions. These include the power rule, the chain rule, the product and quotient rules, and the rules for differentiating sinusoidal functions.

The first video segment presents a canonical mathematical example from quantitative biology, in which mRNA is transcribed from a gene sequence, and protein is translated from mRNA. The second segment uses eigenvector-eigenvalue analysis to sketch the trajectories of the system in a phase portrait. Finally, the third segment generalizes the linear stability analysis used to study this example.

The course treats: the discrete Fourier Transform (DFT), the Fast Fourier Transform (FFT), their application in OFDM and DSL; elements of estimation theory and their application in communications; linear prediction, parametric methods, the Yule-Walker equations, the Levinson algorithm, the Schur algorithm; detection and estimation filters; non-parametric estimation; selective filtering, application to beamforming.

Het vak Digitale Systemen laat de eerstejaarsstudent kennis maken met de verscheidenheid aan specificatietechnieken en synthese bij het ontwerp van digitale systemen. Onderwerpen die worden behandeld zijn o.a.: getalstelsels, Booleaanse algebra, 2-level en multi-level netwerken, minimalisatietechnieken/tools, timing, hazards; sequentiële systemen, Moore/Mealy machines, FSM; specificatie, modellering, simulatie en synthese m.b.v. VHDL; datapad besturingsmodel, synthesemethodieken en tools, realisatie m.b.v. FPGAs.

The course focuses on three main dredging processes: the cutting of sand, clay and rock, the sedimentation process in hopper dredges and the breaching process

The purpose of this course is to convey knowledge of the various physical processes associated with slurry handling and transport during dredging. This knowledge is needed for the design of dredging equipment and for planning efficient equipment operations. The various processes are discussed and theories and simulation models that describe the processes are presented and compared during the course. The course can be broken down into four elements: 1. Pumps and engines a. Pump characteristics and cavitation b. Influence of particles on pump characteristics. 2. Hydraulic transport in pipelines a. Two-phase (solid-liquid) flow through pipelines b. Newtonian slurries c. Non Newtonian slurries d. Inclined and long pipelines. 3. Pump and pipeline systems a. Operation point and areas b. Production factors. 4. Case studies

The course provides the technological background of treatment processes applied for production of drinking water. Treatment processes are demonstrated with laboratory experiments.

This course deals with the design of drinking water treatment plants. We discuss theory and design exercises.

Biological systems (e.g. cells) can make stochastic transitions between phenotypes (e.g. states of relatively increased or decreased drug resistance). This means that an initially drug-sensitive population can generate relatively drug-resistant subpopulations. This video presents a metronomogram, which is a tool for understanding whether such stochastic transitions can provide an opportunity for therapeutic treatment. Citation: Liao D, Estevez-Salmeron L, and Tlsty TD (2012) "Conceptualizing a tool to optimize therapy based on dynamic heterogeneity," Phys. Biol. 9:065005.

Major developments in the political, social, and religious history of Western Europe from the accession of Diocletian to the feudal transformation. Topics include the conversion of Europe to Christianity, the fall of the Roman Empire, the rise of Islam and the Arabs, the "Dark Ages," Charlemagne and the Carolingian renaissance, and the Viking and Hungarian invasions.

Deze cursus biedt inzicht in besluitvorming en bedrijfsvoering op inleidend niveau; en biedt inzicht in de basisbegrippen van de micro- en markteconomie; Na het volgen van deze module kunt u: 1)basisbegrippen en theorieĚÇn van de micro- en markteconomie toelichten; 2)belangrijke concepten en theorieĚÇn toepassen op eenvoudige situaties; 3)elementen uit de discipline herkennen in concrete voorbeelden van besluitvorming en management

MAIN AIMS OF THE MODULE: To achieve an understanding and practical experience of key principles, methods and theories in the area of educational software.
LEARNING OUTCOMES FOR THE MODULE: The module provides opportunities for students to develop and demonstrate knowledge and understanding, qualities, skills and other attributes in the following areas:
1) Obtain understand of major learning principles, theories, and approaches
2. Identify key factors of successful educational software design and deployment.
3) Apply theories, principles, and approached into an appropriate design of educational software system.
4) Establish an appreciation of state-of-art developments in the area of educational software design.
MAIN TOPICS OF STUDY: The main topics of study considered in light of the above learning outcomes are: ‰ Educational Principles Design of educational software such as electronic instruction manuals, serious gaming, VR training, drills, and tutor agents and tutorials ‰Educational software for specific learners such as children, elderly, mentally or physically challenged individuals ‰CEvaluation of education software.

After this course the student can:
Understand mechanical system requirements for Electric Drive
Understand and apply passive network elements (R, L, C), laws of Kirchhof, Lorentz, Faraday
Understand and apply: phasors for simple R,L,C circuits
Understand and apply real and reactive power, rms, active and reactive current, cos phi
Describe direct current (DC), (single phase) alternating current (AC) and (three phase) alternating current systems, star-delta connection
Understand the principle of switch mode power electronic converters, pole as a two quadrant and four quadrant converter
Understand principles of magnetic circuits, inductances and transformers

European gas and electricity markets have largely been liberalized. Due to the specific physical characteristics and public interest aspects of electricity and gas, and to the fact that the networks continue to be natural monopolies, these markets require careful design. In this class, it is analyzed what the market design variables are and how the ongoing process of market design depends on policy goals, starting conditions and physical, technical and institutional constraints. In addition, a number of current policy issues will be discussed, such as security of supply, the CO2 emissions market, the integration of European energy markets and privatization. Participation in a simulation game, in which long-term market dynamics are simulated, is mandatory.

Elementary Ergonomics is an introduction to basic physical ergonomics theory and practice for students of other - than Industrial Design Engineering of Delft University of Technology - institutes for higher learning, such as Dutch universities, universities of EU and non-EU countries, and universities of applied sciences. The course consists of the following topics: anthropometry (1D, 2D, 3D including digital human modelling), biomechanics, and comfort.

Furthermore, the role of user involvement in the design process (evaluation of existing products and environments and of created concepts, models and prototypes) will be explained. Moreover, the meaning and representation of use cues in product design will be highlighted.

The main topics of study considered in light of the above learning outcomes are:Research philosophy (e.g. positivism, empiricism, naturalism)Formulating empirical research questions and conceptual research modelsCausality effects and relationshipsValidity and ReliabilityScales of measurement (e.g. nominal, ordinal, interval, ratio)Sampling methods (e.g. experiment, survey, observations) and measure instruments (e.g. Likert scales, semantic differential, event versus time sampling)Experimental design (e.g. within and between-subjects, factorial design, counter-balancing, Latin square)Biases in empirical research approaches (e.g. confounding variables, statistical power)Data preparation (e.g. standardization of data, reliability analysis, Inter-rater reliability)Hypothesis testing, t-test, (M)ANOVA, correlation, regression analysisNon-parametric approaches to data analysis