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Grant information

Erasmus+ Study Scholarships are available to TU Delft students who will study at a partner university within the EU for 2 to 12 months. TU Delft can provide financial support for a maximum of 360 days of a stay abroad per study cycle (BSc/MSc). Exchange students AY 2023-2024 The information on this webpage has been updated for students planning to go abroad for their study programme in 2024-2025. Students who have been, or are currently, on an exchange programme should refer to their Grant Agreement for more specific information about their grant. The information below is only for exchange students going abroad in the next academic year for a study programme. Exchange Students AY 2024-2025 Depending on where your exchange programme takes place, the countries listed in Table A indicates the monthly amount of scholarship you will receive. In addition to this monthly amount, all students will receive an additional travel grant (called No Green Travel) based on the distance from TU Delft to the Host University. Distances are calculated using a distance band between TU Delft Aula as the place of origin, and the venue of the activity for your Erasmus+ mobility (main address of the host institute). Exchange students AY 2025-2026 Students planning to go on an exchange in the academic year of 2025-2026 can find general information about the Erasmus+ Scholarship here. Please be aware changes will occur to the application procedure and financing. TU Delft expects to receive updates from the EU and our national Agency – Nuffic in May 2025. Grant Amount Students will receive a standard monthly grant which will include a Travel Distance Allowance. Check the two tables below to see which grant amounts you may receive. For example: Student going to DTU in Denmark will receive €390 per month + a one-time payment of €309 for their travel allowance. Group Countries Scholarship 1 Denmark, Finland, Iceland, Ireland, Luxembourg, Sweden, Liechtenstein, Norway €390 per month 2 Austria, Belgium, Germany, France, Italy, Greece, Spain, Cyprus, Malta, Portugal, Bulgaria, Croatia, Czech Republic, Estonia, Latvia, Lithuania, Hungary, Poland, Romania, Serbia, Slovakia, Slovenia, North Macedonia, Turkey €330 per month Please note that a calculation will be made on the basis that one month is equivalent to 30 days. This table provides an overview of the travel distance, travel grant (No Green Travel) and green travel grant (Green travel). The ‘No Green travel’ amount (one-time payment) will be paid to all students going on exchange, with the first 70% payment. If you travel sustainably to and from your destination, you will receive a one-time payment of the ‘Green Travel’ amount with the last payment of 30%. Example of calculation: Travel distance to host 150 km, student receives €211,- from the No Green Travel grant with their first payment. Student travels green and will receive the remaining amount of €74,- with their second payment. Table B: Switzerland You cannot apply for an Erasmus+ grant for studies in Switzerland. Instead, the Swiss university may be able to apply for a grant for you via the Swiss European Mobility Programme . Contact your Swiss host university for details. Additional financial support for students For students planning to go abroad, the Erasmus+ Scholarship provides additional ‘Top Ups’ for students who plan to travel ‘Green’ to their host university and to those students needing extra funding for health or financial barriers, who without this funding would not be able to experience an exchange abroad. Green Travel Top up Students who choose sustainable travel methods—such as train, bus, bike, or carpooling with fellow TU Delft students (excluding family)—to and from their host university at the beginning and end of their exchange program can apply for extra funding. If approved, this funding will be added to the Erasmus+ grant and is based on the travel distance in kilometers between TU Delft and the host institution. The additional funding will be paid out once your exchange program is complete. Please remember to save your travel tickets as proof. You can request this top up in Osiris Student. Required documents can be found online . How to apply: Before Mobility 1. Fill in the information in the section Additional Funding in Osistud.tudelft.nl in your grant application under the section “additional funding”. 2. Follow and complete the regular application process on Osistud.tudelft.nl During Mobility 3. If you end up not travelling green to and from your host university, please indicate this in your ‘Changes to the Learning Agreement (CttLA)” within 5 weeks of your arrival at the host. After Mobility 4. Within 4 weeks of completion of your exchange programme, provide proof of your sustainable travel in Osistud.tudelft.nl. Complete the Declaration of Honour – Green Travel form, including your proof e.g. tickets, petrol station receipts etc. 5. Your Top-up amount will be added to the last 30% of your Erasmus+ scholarship payment. Inclusion Top up Students with fewer opportunities planning to study abroad may be eligible for an inclusion top-up . Those facing health and/or economic barriers can receive an additional €250 per month (per 30 days) if they are unable to participate without this support. If you meet both criteria, you may submit either a DUO statement or a medical statement AND Inclusion Declaration. It's recommended to contact your host university to learn about their support network before your start date e.g. wheelchair accessibility, psychologists etc. If the Erasmus+ scholarship and top-up funding are insufficient, or if you are unable to provide the required documentation, please email erasmusgrant@tudelft.nl . Students with health barriers Students with health barriers—such as physical or medical conditions—may require additional funding to make their study abroad experience workable. Without this support, participating in an exchange program would not be possible. If you fall under this category please proceed with the following steps. How to apply Before Mobility 1. Complete the “Additional Funding” section in your grant application, specifically under “Inclusion Top Up: Disability”. 2. Provide an official medical certificate, or an official statement from a doctor or medical institution confirming your physical or health condition. Additionally, upload the completed “Inclusion Declaration” form, available on our website. 3. Follow and complete the regular application process on Osistud.tudelft.nl 4. Once approved you will receive the inclusion Top up grant with the regular Erasmus+ Grant. During Mobility Report any possible changes to your health barrier by sending an email to erasmusgrant@tudelft.nl After Mobility Provide information in your Travel report on how this extra top funding has assisted you to go abroad (not mandatory). Students with economic barriers Students experiencing economic barriers are those who receive 'supplementary' funding (referred to as 'aanvullende beurs') from DUO. This proof qualifies for the Inclusion Top-Up for financial need. The document must clearly display your name, date, and grant amount. If the amount is listed as '0', you are not eligible. How to apply Before mobility 1. Complete the “Additional Funding” section in your grant application, specifically under “Inclusion Top Up: Financial Need.” 2. Upload the document confirming you are receiving supplementary funding and the “Inclusion Declaration” form. 3. Follow and complete the regular application process on Osistud.tudelft.nl 4. Once approved you will receive the inclusion Top up grant with the regular Erasmus+ Grant. During Mobility Report any possible changes to your economic barrier by sending an email to erasmusgrant@tudelft.nl After Mobility Provide information in your Travel report on how this extra top funding has assisted you to go abroad (not mandatory). Data Protection GDPF/AVG All required documentation containing personal data provided by students for the application of additional support will be handled with the utmost care and in doing so acts within the law, including the General Data Protection Regulation (GDPR). The processing of personal data by TU Delft within the EU Erasmus+ scholarship administration is carried out according to the Privacy Statement . This data will also be shared with the European Commission, (scholarship provider), staff of TU Delft and the E+ national agency who are responsible for carrying out the Erasmus+ programme. EU Academy - Online Language Support Students going abroad within the Erasmus+ framework have the opportunity to access OLS language courses in both their mobility language and the official local language(s) of their destination. They have the opportunity to complete an Online Linguistic Assessment via the EU Academy. Based on the results students will be automatically allocated a language course or can choose an online language training. Navigate to E+ website Top 5 Jargon Disclaimer Travel Reports Upcoming Events Scholarships Abroad Q&A sessions More Erasmus+ Information Erasmus+ is the EU’s programme to support education, training, youth and sport in Europe. Erasmus+ mobility has positive effects on educational, social, personal and professional development, in that it enhances knowledge, skills and attitudes, improves employability, helps confidence-building and independence, stimulates curiosity and innovation, fosters the understanding of other people, and builds a sense of European belonging. More information about the Netherlands National agency, the Dutch organisation for internationalisation in education can be found here . Policy Statements 2021-2027 Erasmus Charter 2021-2027 Erasmus Student Charter

Finding a position

To enroll for the PhD program, there are three possible routes. (1) Apply for a paid position When a larger research project has been granted national or international funding, paid positions often become available for a postdoc or PhD candidate to carry out the research. Whenever we have such a position, you can find it at http://www.vacaturesindelft.nl Vacancies PhD Position - Dynamics of Design Interventions in everyday Heritage (2) Open application If you opt for an open application, then your proposal must fit within the portfolio of one of the research groups. You can come to Delft and work on your project full-time as a contract PhD candidate. The alternative is to keep your current job and/or stay where you live and work on your project part-time as an external PhD candidate. For both options you need to bring your own money. Read more about the application procedure (3) Open application / hot topics Several research programs like to attract candidates for specific topics. These are topics carefully chosen to help develop the research program in a desired direction and for which supervision capacity is available. The current list of topics can be found here . Requirements The Graduate School of Architecture and the Built Environment expects you to meet the following requirements: Degree According to Dutch law and the TU Delft Doctorate Regulations a PhD candidate should be in possession of a Master’s degree. We welcome Masters of Science (M.Sc.) in Architecture, Urbanism, Building Technology, Real Estate, Built Environment, Geomatics or another field that supports the research objectives of our domain. Finances Graduate School A+BE does not offer PhD scholarships. However, it is possible to pursue a PhD with other sources of funding, such as your company or a scholarship. Your own government may offers scholarships or you can try to find one at Grantfinder . To avoid confusion, make the following selection in their database: Purpose: research I have a: master's degree If you plan to attain your PhD at the faculty of A+BE as a "contract PhD candidate" with a scholarship, we expect your scholarship to cover living costs in the Netherlands as well as our tuition fee (€11.000) and bench fee (€10.000). Living costs are estimated at a minimum of € 1.800 per month (or: 48 * € 1.800 = € 86.400 for the entire course of your PhD-trajectory). This means that you will need a scholarship of at least € 107.400. We will ask you for proof you can cover these living expenses and will let you sign an agreement. We will not accept you as a PhD candidate if we think you will struggle financially. Doctoral Grant for Teachers in The Netherlands Teachers in primary, secondary, further professional, higher professional and special education in The Netherlands can receive a grant for a PhD study. The aim is to directly apply the knowledge and research experience acquired for the benefit of educational practice. You can apply for a PhD grant for any research subject. Calls are twice a year with deadlines in the beginning of both March and September. Check NWO for more information in Dutch and English . Language With effect from 1 September 2021 the English language requirement will apply to all prospective candidates wanting to pursue a PhD or PDEng programme at TU Delft. The minimum requirement is a TOEFL score of 100 and IELTS of 7.0 (with scores of at least 6.5 for all sections) applies to all candidates wanting to pursue a PhD or PDEng programme at TU Delft. Naturally, native speakers will be exempted from the English test requirement, as well as, in principle, non-native applicants who have obtained an English-taught Master’s degree. If during the selection process it turns out that the English proficiency of the candidate with an English-taught Master’s degree does not meet the requirements, they may also be asked to do a test. Curriculum Vitae You must provide a curriculum vita using the Europass-format . Check all TU Delft vacancies

What will you learn during the CSE programme?

You will learn how computers, networks and embedded systems work. You will study algorithms, addressing questions as: what is arithmetic, what can computers do and what can they not do, and how can you represent software mathematically? Of course, you will also work with concepts of various programming languages, study data structures, learn about software quality, how to model complex systems and how users interact with such systems. You will try to solve problems in a logical way. Structure of the programme In the first year you will have compulsory courses with theory and laboratory courses (projects). You will be taught programming, reasoning and logic, computer networks, data management and mathematics. The second year is built of 75 per cent compulsory courses and 25 per cent electives. And the third year is mainly a number of electives and a Research Project. Modules The Computer Science and Engineering degree programme consists of six modules: Mathematics Systems Models Software Data & AI Multimedia The first year The second year The third year In the first year you will have compulsory courses with theory and laboratory courses (projects). You will be taught programming, reasoning and logic, computer networks, data management and mathematics. The second year is built of 75 per cent compulsory courses and 25 per cent electives, and the third year consists of a minor, electives and a Research Project. Courses and competences Introduction to Programming This course consists of learning the basics of programming. You will already be programming your first ‘object’ in the programming language Java during the first week. You learn, for example, about data types, methods and testing. You also write several small software programmes. Previous knowledge of programming is not required. Reasoning and Logic “All ICT students learn Reasoning and Logic. You are an ICT student. Conclusion: you learn Reason and Logic.” As a computer scientist, you must be capable of solving complex problems. One important aspect is to be able to come to the right conclusions. Based on theorems and partial observations you can acquire more knowledge and evidence to help prove that a specific conclusion is mathematically and logically correct. You learn how to do this with Reasoning and Logic. Computer Organisation How does a computer perform calculations, and how does it remember data? This is what you learn in the course Computer Organisation. You investigate the architecture, structure and the components of a computer. Memory and processes are important elements. Calculus Calculus is a branch of mathematics that concerns functions, series and equations, differentiation, integration and complex numbers. This knowledge is used, for example, for optimisation, the analysis of the duration of an algorithm and signal analysis. The knowledge from Mathematics B is repeated during the first week, and you will quickly expand your knowledge. Algorithms and Datastructures This course takes up where Introduction to Programming and Reasoning and Logic left off. Now you have mastered the basics of programming, you will learn about the data structures that you can use to store information in a structured manner, such as lists and trees. You also concentrate on algorithms: the instructions needed to carry out a task, such as sorting or searching for information. You also learn that various solutions have their own pros and cons in terms of constraints in consumption of space and time. It is vital to use the right data structures and algorithms in order to be able to solve problems as efficiently as possible. Web- and Database Technology What happens when you open a website? How do you ensure that your online information is stored safely? This course is an introduction to the Web, and you will program in HTML, CSS and JavaScript. You are also introduced to databases, learning about their architecture and how you can interact with databases. Linear Algebra We are often confronted with digital information that consists of numbers that can be represented structurally. An example of this is Computer Graphics, where points are expressed as coordinates in a 3-D space. In the mathematics course Linear Algebra, you learn how to represent this kind of information in matrices and vectors, and how you can consequently work and compute with them effectively. Collaborative Software Engineering Project During this project you will put the knowledge that you gained in the course Introduction to Programming in practice. You will write a programme, in a group of five students. The assignment is different every year: for example, students have developed an application for people with illiteracy and a programme to help program blind people. This course teaches you the essential skills for the development of software, not only limited planning and documentation and working in a team. Information and Data Management Following on from the introduction in Web and Database Technology, your knowledge about databases will be further expanded in this course. You learn more about modelling, managing and retrieving data from a Database Management System. You also learn how to use universal resource identifiers, such as a URL to save and retrieve data. Probability Theory and Statistics The mathematics course Probability and Statistics teaches you how to calculate probabilities and how to deal with divisions in your data. You learn, for example, how you can compute the variance (spread) of your data and why this is important. Statistics help you to form conclusions in your research. You can compute whether something is pure chance or if there is a significant link. Software Quality and Testing How can you know for sure that your software will always perform as expected? How do you go about adding new functionality or adapting something? You must ensure that your software is easy to maintain and will continue to function after updates have been made. This is why it is important that you know how to write good software and how to test it. In this course, the testing methods from Introduction to Programming are augmented with new information and skills. Computer Networks The Internet would probably be the first thing that comes to mind when thinking about networks, as it is certainly a good example of a network. But what happens when you send an email to a fellow-student via a network? What does a secure connection imply, and what are the dangers of such a connection? The course Computer Networks teaches you about the various levels of communication within a network that combine to send data through the network. You will also monitor the applicability, reliability and performance of each level. The second year is built on compulsory courses and electives. In the first semester, you may choose from three different blocks: Multimedia, Systems or Data. You will learn more about the use of multimedia data in areas as social media or how you can analyse large data files. In the second semester you will work in a small team with fellow students on a large software project, developing software for an external stakeholder to tackle a socially relevant issue. Examples of such projects include programming a drone that can independently survey a commercial greenhouse or developing a scheduling application for a hospital. Courses and competences Computer Graphics This course teaches you about the challenges and problems associated with the creation of Computer Graphics. You learn invaluable techniques, such as geometrical modelling and the conversion of models into images. You also use computer graphics techniques during a project in a group of six students. You work on a ray tracer. This is a technique that uses light in an image in such a way that the image appears to be more realistic. The knowledge of linear algebra that you have gained will be very useful here. Machine Learning In this course you will learn the basics of different Machine Learning algorithms. These algorithms are used in many AI applications. You will use Python to implement the theory. Algorithm Design Algorithm Design goes a step further than the Algorithms and Data Structures course. You learn, for example, about graphs (collections of points), dynamic algorithms and network optimisation. Each technique is assessed for efficiency, as a few lines of code can make the difference between a runtime of a week or a few seconds. Software Engineering Methods Software Engineering Methods teaches you how to develop good quality software in a team setting. You learn how to translate the wishes of the client into programming goals, how you can use agile working methods to realise a larger product, how you can use design patterns to create software that can be easily maintained and improved, and how you can gauge and monitor the quality of the software that you have produced. Automata, Computability and Complexity The course Automata, Computability and Complexity concentrates on how programming languages are recognised by computers and what types of problems are solved using computers. There is also attention for how you can determine the amount of time and memory that is required for different solutions. Concept of Programming Languages Most of the underlying concepts of programming languages are very similar. This course teaches you the basic concepts on which many programming languages are based. Once you understand these concepts it will help you to understand and work with many different programming languages. This is important for the future, if you have to use different languages to the ones that you learned during your studies. Software Project During the Software Project you will apply your knowledge of Software Engineering Methods in practice. In a small team you will create a software solution for a societal relevant problem. You will work with an (external) client and deliver a working product as requested by the client. For the Software Project we work together with external companies that offer various projects. Variant Block During your second year, you can choose one of three variant blocks. These variant blocks give you the opportunity to learn more about a branch of ICT that interests you. Variant Block - Multimedia The variant block Multimedia consists of the courses Signal Processing, Image Processing and Multimedia Analysis. This variant block teaches you how you can represent, process and analyse multimedia. For example, recognising songs from small audio fragments, recognising and reading number plates and speech recognition. Variant Block - Systems The variant block Systems consists of the subjects Digital Systems, Embedded Software and Operating Systems. This variant block allows you to learn more about hardware as well as optimising software for hardware systems. During this project you will make a robot which navigates a maze with a smartphone camera. Variant Block - Data The variant block Data consists of the courses Big Data Processing, Data Mining and Computational Intelligence. You will learn how a computer can deal with large quantities of data efficiently, how you can collect data intelligently and how you can extract useful patterns from the data Tijdens je tweede jaar mag je kiezen uit een van de drie variantblokken. Deze variantblokken geven je de kans om meer kennis op te doen in een richting van de informatica die je zelf interessant vindt. In the first half of the third and final year of your bachelor's degree programme you will start with a minor. You can select one from existing minors at TU Delft, such as Finance or Electrical Sustainable Energy Systems, or choose a minor at another university or study abroad. The degree programme finishes with the Research Project. This project is carried out individually at TU Delft or another university and involves research into a subject related to computer science. For example, this could involve implementing a new algorithm, and the necessary experimental tools to evaluate it against existing alternatives. Courses and competences Minor In the first semester of year 3 of the Bachelor’s degree programme, you will have the opportunity to spend six months broadening your horizons and exploring a subject that interests you, in the way that suits you best. Computer Science and Engineering students, for example, choose minors as Mathematical Finance or Robotica. Alternatively, you can broaden your perspective by choosing a minor at another university or a course abroad. A well-chosen minor can help you to find the career options that suit you, or decide which Master’s programme you want to do after your Bachelor's degree programme. More information about Minors

What will I learn?

In the first and second year, you absorb a lot of theory. You will learn to apply this theory during the projects of the Modelling course. You will also learn how to work on projects. After all, as an engineer, you need to be able to cooperate, present and communicate. In the third year, you will start with an elective: the so-called minor. Eventually, you will complete the bachelor's programme with a graduation assignment. After completion of the programme, you can add Bachelor of Science (BSc) to your name. Structure of the programme "Mathematics, a subject with infinite dimensions" - Joost de Groot Coordinator of the Bachelor of Applied Mathematics Distribution of courses 7% Optimisation 7% Stochastics 7% Discrete mathematics 10% Bachelor final project 10% Numerics and differential equation 13% Elective courses 13% Modelling 16% Analysis 17% Minor Study Guide Modules The first year The second year The third year The Applied Mathematics degree programme consists of five modules: Modelling and Applications Numerical Methods and Differential Equations Optimisation and Discrete Mathematics Analysis Stochastics The first year of the programme revolves around fundamental mathematics. These courses are a level up from secondary school. You will also learn about something completely new in courses which focus on reasoning. You will apply the theory you learn during the first two years in projects of the Modelling course. In the third year, you will take courses and do a minor. The degree programme is rounded off with the Bachelor’s graduation project. In addition to courses in fundamental mathematics, you will get started this year with mathematical modelling as well as learning how to present a mathematical solution. Other courses include probability theory, algebra and programming. You will also take a technology elective module. And because the mathematics at university is so different from that at secondary school, a lot of attention is paid to personal supervision. You will take part in a mentor group of ten students from the beginning of the first year. A faculty mentor will supervise you on study skills for two hours a week. In the second year, you will take eight compulsory mathematics courses, from fundamental to applied and from broad to in-depth. You will also get to choose an elective from a list of approximately five courses, such as Advanced Statistics and Decision Analysis. So you can customise the Applied Mathematics degree programme a bit. You will also work on a project, by modelling a mathematical physical problem, such as an epidemic.In the second year, you will take eight compulsory mathematics courses, from fundamental to applied and from broad to in-depth. You will also get to choose an elective from a list of approximately five courses, such as Advanced Statistics and Decision Analysis. So you can customise the Applied Mathematics degree programme a bit. You will also work on a project, by modelling a mathematical physical problem, such as an epidemic. Courses and competencies Real Analysis (AM2090) Building on the analysis courses Mathematical Structures and Linear Algebra, this course is an important foundation for later analysis and probability theory courses. The course is divided into two parts: metric spaces, and measurement and integration theory. At the end of the course, you will be able to understand, explain and apply the theory learned. Optimisation (AM2020) Are you interested in the mathematics underneath defining the shortest routes and matchings? In this course you will learn to view and solve these kinds of problems mathematically. For example: 'What are the best ambulance standby locations in a town (and how many are needed) to ensure that all areas of the town can be reached as quickly as possible?' This course deals with numerous algorithms, each of which solves a different general problem. Introduction to Statistics (AM2080) This course applies the knowledge acquired in Introduction to Probability Theory. Its components include making predictions and basing decisions on historical data. This involves being able to write an appropriate probability model in which the unknown parameters have to be estimated on the basis of the given data. Performing statistical analyses requires use of the statistical software package R, which you will learn to work with during this course. Linear Algebra 2 (AM2010) Linear Algebra 2 takes up where Linear Algebra 1 left off and deals with sets of vectors. These sets have special properties. While in Linear Algebra 1 you learn about calculations and all kinds of rules, in Linear Algebra 2 you will also learn the theory and properties, as with Mathematical Structures. Ordinary Differential Equations (AM2030) This course is an introduction to differential equations. A differential equation is an equation for which the solution is a function. The equation involves both the function and its derivative. A differential equation is not as easily solved as a linear or quadratic equation. You will therefore learn the many different ways of solving different kinds of differential equations. There are also several laboratory modules that demonstrate how important differential equations are to mathematically describing and solving practical problems. Modelling 2A and 2B (AM2050-A and AM2050-B) The structure of this course is similar to that of the first-year courses Modelling A and B. In the second year, part A involves working on a mathematical model for probability and statistics. In part B you will work on a mathematical-physical problem. One example of such a project could be creating a model of a flu epidemic. This would involve researching how the number of people affected increases and decreases over time as well as how the epidemic spreads in spatial terms. Numerical Methods 1 (AM2060) Some mathematical problems cannot be solved exactly, or not easily. This is where numerical methods come into the picture. These are methods that approach the solution of a problem rather than solving it exactly. An important part of this is the laboratory module, during which you will implement these methods in MATLAB. Partial Differential Equations (AM2070) This course also concerns methods of solving differential equations, but a different type of equation. The problems discussed in this course are practical ones and include, for example, a simple model of traffic congestion. It is important to consider not only the mathematical solution but also its interpretation. When you calculate the heat distribution of a bar, for instance, it is impossible to determine an infinite temperature. It might be possible mathematically, but is physically impossible. Complex Function Theory (AM2040) Complex Function Theory is actually another analysis course. In this case it concerns the application of functions to complex numbers and images that are also complex numbers. In effect, you will expand your understanding of the basic concepts of analysis to the complex domain. What's great about this is that these functions have very special properties. They can help you integrate functions that you were not yet able to integrate in Analysis 1 or 2, for example. Elective There is scope for a mathematical elective in the third quarter. The second-year electives are: Decision Theory (the application of probability theory and statistics to make decisions about problems with a degree of uncertainty), History of Mathematics (the history of mathematics is studied in work groups), Philosophy of Mathematics (the philosophy of mathematics is studied in work groups), Mathematical Models in Biology, Advanced Statistics (theory and application of generalised linear models, such as linear regression models), Applied Algebra: Codes and Cryptosystems (a course on the use of algebra to encrypt data and break codes, etc.) and Markov Processes (This is an introductory course on Markov chains, where time-discrete and continuous time Markov chains will be introduced, and their most fundamental basic properties studied). You will begin the first half of the third year with a minor. In the third quarter, you will take two electives, helping you to set your own course. You will also take an intensive course in presentation skills. The degree programme is rounded off with the Bachelor’s graduation project. This involves working on a mathematical or practically oriented problem, such as creating a strategy for the Nuna solar car in South Africa or modelling wound healing. This project lasts three months and enables you to demonstrate that you can tackle a problem independently, and present your finding adequately both orally and in writing. Minor Your minor is an opportunity to gain more in-depth knowledge of mathematics or another subject. This could be computer science or physics, for example, but could just as easily be medicine, law or indeed any other field of study. You are completely free in your choice of minor, which need not be relevant to your Bachelor's degree programme in Applied Mathematics. Electives Besides your minor, you also have freedom of choice in the form of electives. In the third year, you can choose two. The third-year electives are: Mathematical Physical Models (the application of the Partial Differential Equations course to such physical phenomena as heat conduction), Inverse Problems, Numerical Methods 2 (which follows on from Numerical Methods 1), Graph Theory (this course is about the mathematical theory of networks), Advanced Probability (theoretical treatment of analysis concepts that play a part in the calculation of probability), Fourier Analysis (theory and applications of Fourier series), Differential Geometry (The focus of this course will be on Riemannian geometry, the study of metric spaces in a smooth context), Topology (studies notions from previous subjects - such as open collections, convergence and compactness - in a broader context than that of metric spaces) and Mathematics Seminar. Bachelor Colloquium The Bachelor Colloquium forms a relatively small part of the Bachelor's final project. Here, students develop skills in the verbal presentation of a mathematical subject. Bachelor Project (TW3050) Your Bachelor's degree programme concludes with a Bachelor Project, which involves working on a mathematical or practically oriented problem. You choose a problem from one of the various research groups of the Mathematics department. The next step is to search for the relevant background literature and to translate the problem into a mathematical form. You will then solve the mathematical problem and subsequently translate the solution back into the practical situation. The project concludes with the submission of a thesis and delivery of a presentation.

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TU Delft jointly wins XPRIZE Rainforest drone competition in Brazil

TU Delft jointly wins in the XPRIZE Rainforest competition in the Amazon, Brazil Imagine using rapid and autonomous robot technology for research into the green and humid lungs of our planet; our global rainforests. Drones that autonomously deploy eDNA samplers and canopy rafts uncover the rich biodiversity of these complex ecosystems while revealing the effects of human activity on nature and climate change. On November 15, 2024, after five years of intensive research and competition, the ETHBiodivX team, which included TU Delft Aerospace researchers Salua Hamaza and Georg Strunck, achieved an outstanding milestone: winning the XPRIZE Rainforest Bonus Prize for outstanding effort in co-developing inclusive technology for nature conservation. The goal: create automated technology and methods to gain near real-time insights about biodiversity – providing necessary data that can inform conservation action and policy, support sustainable bioeconomies, and empower Indigenous Peoples and local communities who are the primary protectors and knowledge holders of the planet’s tropical rainforests. The ETHBiodivX team, made of experts in Robotics, eDNA, and Data Insights, is tackling the massive challenge of automating and streamlining the way we monitor ecosystems. Leading the Robotics division, a collaboration between TU Delft’s Prof. Salua Hamaza, ETH Zurich’s Prof. Stefano Mintchev and Aarhus University’s Profs. Claus Melvad and Toke Thomas Høye, is developing cutting-edge robotic solutions to gather ecology and biology data autonomously. “We faced the immense challenge of deploying robots in the wild -- and not just any outdoor environment but one of the most demanding and uncharted: the wet rainforests. This required extraordinary efforts to ensure robustness and reliability, pushing the boundaries of what the hardware could achieve for autonomous data collection of images, sounds, and eDNA, in the Amazon” says prof. Hamaza. “Ultimately, this technology will be available to Indigenous communities as a tool to better understand the forest's ongoing changes in biodiversity, which provide essential resources as food and shelter to the locals.” . . . .

Students Amos Yusuf, Mick Dam & Bas Brouwer winners of Mekel Prize 2024

Master students Amos Yusuf, from the ME faculty (Mick Dam, from the EEMCS faculty and graduate Bas Brouwer have won the Mekel Prize 2024 for the best extra scientific activity at TU Delft: the development of an initiative that brings master students into the classroom teaching sciences to the younger generations. The prize was ceremonially awarded by prof Tim van den Hagen on 13 November after the Van Hasselt Lecture at the Prinsenhof, Delft. They received a statue of Professor Jan Mekel and 1.500,- to spend on their project. Insights into climate change are being openly doubted. Funding for important educational efforts and research are being withdrawn. Short clips – so called “reels” – on Youtube and TikTok threaten to simplify complex political and social problems. AI fakes befuddle what is true and what is not. The voices of science that contribute to those discussion with modesty, careful argument and scepticism, are drowned in noise. This poses a threat for universities like TU Delft, who strive to increase student numbers, who benefit from diverse student populations and aim to pass on their knowledge and scientific virtues to the next generation. It is, therefore, alarming that student enrolments to Bachelor and Master Programs at TU Delft have declined in the past year. Students in front of the class The project is aimed to make the sciences more appealing to the next generation. They have identified the problem that students tend miss out on the opportunity of entering a higher education trajectory in the Beta sciences – because they have a wrong picture of such education. In their mind, they depict it as boring and dry. In his pilot lecture at the Stanislas VMBO in Delft, Amos Yusuf has successfully challenged this image. He shared his enthusiasm for the field of robotics and presented himself as a positive role model to the pupils. And in return the excitement of the high school students is palpable in the videos and pictures from the day. The spark of science fills their eyes. Bas Brouwer Mick Dam are the founders of NUVO – the platform that facilitates the engagement of Master Students in high school education in Delft Their efforts offer TU Delft Master Students a valuable learning moment: By sharing insights from their fields with pupils at high school in an educational setting, our students can find identify their own misunderstandings of their subject, learn to speak in front of non-scientific audiences and peak into education as a work field they themselves might not have considered. An extraordinary commitment According to the Mekel jury, the project scored well on all the criteria (risk mitigation, inclusiveness, transparency and societal relevance). However, it was the extraordinary commitment of Amos who was fully immersed during his Master Project and the efforts of Brouwer and Dam that brought together teaching and research which is integral to academic culture that made the project stand out. About the Mekel Prize The Mekel Prize will be awarded to the most socially responsible research project or extra-scientific activity (e.g. founding of an NGO or organization, an initiative or realization of an event or other impactful project) by an employee or group of employees of TU Delft – projects that showcase in an outstanding fashion that they have been committed from the beginning to relevant moral and societal values and have been aware of and tried to mitigate as much as possible in innovative ways the risks involved in their research. The award recognizes such efforts and wants to encourage the responsible development of science and technology at TU Delft in the future. For furthermore information About the project: https://www.de-nuvo.nl/video-robotica-pilot/ About the Mekel Prize: https://www.tudelft.nl/en/tpm/our-faculty/departments/values-technology-and-innovation/sections/ethics-philosophy-of-technology/mekel-prize

New catheter technology promises safer and more efficient treatment of blood vessels

Each year, more than 200 million catheters are used worldwide to treat vascular diseases, including heart disease and artery stenosis. When navigating into blood vessels, friction between the catheter and the vessel wall can cause major complications. With a new innovative catheter technology, Mostafa Atalla and colleagues can change the friction from having grip to completely slippery with the flick of a switch. Their design improves the safety and efficiency of endovascular procedures. The findings have been published in IEEE. Catheter with variable friction The prototype of the new catheter features advanced friction control modules to precisely control the friction between the catheter and the vessel wall. The friction is modulated via ultrasonic vibrations, which overpressure the thin fluid layer. This innovative variable friction technology makes it possible to switch between low friction for smooth navigation through the vessel and high friction for optimal stability during the procedure. In a proof-of-concept, Atalla and his team show that the prototype significantly reduces friction, averaging 60% on rigid surfaces and 11% on soft surfaces. Experiments on animal aortic tissue confirm the promising results of this technology and its potential for medical applications. Fully assembled catheters The researchers tested the prototype during friction experiments on different tissue types. They are also investigating how the technology can be applied to other procedures, such as bowel interventions. More information Publicatie DOI : 10.1109/TMRB.2024.3464672 Toward Variable-Friction Catheters Using Ultrasonic Lubrication | IEEE Journals & Magazine | IEEE Xplore Mostafa Atalla: m.a.a.atalla@tudelft.nl Aimee Sakes: a.sakes@tudelft.nl Michaël Wiertlewski: m.wiertlewski@tudelft.nl Would you like to know more and/or attend a demonstration of the prototype please contact me: Fien Bosman, press officer Health TU Delft: f.j.bosman@tudelft.nl/ 0624953733