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Intellectual Property Rights and Digitalisation, including Discussion Sessions (2286)
Intelligent Solutions in Transportation (4200)
Intelligent Solutions in Transportation_DL (4329)
Intelligent Systems for Robotics (4722)
Intercultural Business Communication French (1717)
Interdisciplinary coworking in healthcare (4745)
Interdisciplinary Program in Healthcare Innovation (4418)
Interdisciplinary project (4244)
Interdisciplinary workshop (4378)
Internal Market Law & Governance (2498)
International and European Law (1880)
International and European Legal Theory (2302)
International and European Tax Law (2502)
International applied communication: English (2909)
International applied communication: French (2908)
International applied communication: German (2655)
International applied communication: German (3299)
International business (3884)
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International Dispute Settlement (2491)
international economics (3703)
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international reporting and analysis (4041)
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Internship R&D (4698)
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Internship_DL (3157)
Introduction in research and design methodology (2387)
Introduction in the History of Architecture and Arts I (2384)
Introduction in the History of Architecture and Arts II (2392)
Introduction into Chemical Process Technology (0620)
Introduction of Bayesian Inference (3562)
Introduction physiotherapy competency profile and workfield (3942)
Introduction to Accounting, Finance and Governance (3909)
Introduction to Algorithms and Programming (3326)
Introduction to astronomy and astrophysics (1598)
Introduction to Bayesian Inference DL (3579)
Introduction to Belgian Law (3661)
Introduction to biochemistry (1399)
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Introduction to biotechnology (4805)
Introduction to building materials (2385)
Introduction to Business Management (3908)
Introduction to chemistry (3462)
Introduction to Economics (3910)
Introduction to freight transport (3496)
Introduction to Information Systems (3912)
Introduction to Law (4742)
Introduction to logistics (3542)
Introduction to marketing and strategy (3535)
Introduction to materials and production technology (3828)
Introduction to private and to public law. (3507)
Introduction to Psychology (4738)
Introduction to quantum chemistry (2938)
Introduction to research (4297)
Introduction to Semiparametric Regression (4004)
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Introduction to sickness and health (4806)
Introduction to Strategy (4493)
Introduction to the economic law (3724)
Introduction to the European Union (3660)
Investment Analysis (3756)
IoT (4482)
Issues of European Integration (3003)
IT Infrastructure en architecture (0090)
IT-governance, risk and compliance (1732)
Junior internship (3969)
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Junior practical training (2093)
Kidney and digestion (4603)
Kinesiology - part 1 (3915)
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Knowledge discovery (1726)
Laboratory animal science-online module for students (4824)
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Labour Law and Social Security Law (2124)
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Law and Anthropology (2299)
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Law and Society (2157)
Law and transportation science (2110)
Law in a Multicultural Society (1891)
Law of the Internal Market (1889)
Lawyer and Ethics (4400)
Leadership and Human Capital (3857)
Learning and development (4159)
Legal Aspects of Computer Science (1282)
Legal English (1877)
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Legal French (1882)
Legal History (3923)
Legal Persons and Family (3258)
Legal Protection Against Government Action (2155)
Lifestyle and environment (4705)
Linear algebra (3983)
Linear algebra and 2D-analysis (3822)
Linear Models (3560)
Linear Models DL (3577)
Linear Statistical Models (3325)
Lipids in Health and Disease (4566)
Liquids, solids, and biological matter: structure and transport mechanisms (2131)
Literature study BI (3899)
Literature Study HI (4497)
Literature Study TEW (4496)
Live Project (4134)
Logic and model theory (1602)
Longitudinal Data Analysis (3765)
Longitudinal Data Analysis DL (3784)
Lung and kidney (3738)
Machine components (2660)
Machine learning (4483)
Machine Learning (4561)
Machine Learning (incl. Deep Learning) (4174)
Machine Learning DL (4590)
Macro-economic policy (1541)
Macroeconomics (1169)
Macroeconomics (3541)
Macroeconomics (3873)
Man and society: Safety and Lifelong Learning (2674)
Management 4 (2343)
Management 5 (2357)
Management accounting (1770)
Management accounting (3537)
Management accounting (2022)
Management control systems (3837)
Management Information Systems (1535)
Managing Digital Transformation (3907)
Marine traineeship and fieldwork (3124)
Marketing (1312)
Marketing (2024)
Marketing analytics (3516)
Marketing project (4047)
Marketinginformation (3853)
Marketingplanning (4300)
Markstrat simulation game (2879)
Masonry (4386)
Mass and heat: balances and transport (4029)
Master dissertation AFF (3834)
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Master project and thesis (4127)
Master project chemical engineering technology (4526)
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Master thesis (4796)
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Master Thesis Bioinformatics DL (3794)
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Master Thesis Biostatistics DL (3795)
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Master Thesis Data Science (4571)
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Master Thesis Design Sciences (4224)
Master Thesis Economics (4208)
Master Thesis Health Sciences (4225)
Master thesis part 1 (2520)
Master thesis part 2 (3086)
Master thesis part 2_DL (3159)
Master Thesis Quantitative Epidemiology / ICP (3774)
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Master Thesis Science and Technology - Engineering and Technology (4223)
Master Thesis Science and Technology - Science (4222)
Master Thesis Short Program (4207)
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Master Thesis_DL (4593)
Master's dissertation master of management: BPM (4689)
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Master's Thesis (3615)
Master's thesis - Chemistry (2678)
Master's thesis - Construction (2865)
Master's thesis - Electronics-ICT (2857)
Master's thesis - Nuclear technology: environment (3642)
Master's thesis - Nuclear technology: nuclear and medical (2784)
Master's thesis - Software Systems (4713)
Master's thesis Automation (3573)
Master's thesis Design and Production (2719)
Master's thesis Energy (3574)
Master's thesis honours programme: Grant writing (4219)
Master's thesis honours programme: Grant writing (4266)
Master's thesis honours programme: report and defense (4220)
Master's thesis honours programme: report and defense (4268)
Master's thesis: Grant writing (4143)
Master's thesis: report and defense (4151)
Masterthesis and Studio (4321)
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Masterthesis HI-AF (4504)
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Masterthesis MAR (4503)
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Masterthesis OML (4506)
Masterthesis TEW - minors (4037)
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Masterthesis TiB (4507)
Material science (4373)
Material science and production technology 2 (4067)
Material selection and forming processes (4536)
Materials and production technology for energy (4492)
Materials design and synthesis (4678)
Materials on the nanoscale (3359)
Materials Science (1950)
Materiomics hands-on project (4679)
Mathematical methods of physics (3763)
Mathematical methods of physics 2 (3993)
Mathematical modelling (4710)
Mathematical Modelling (4622)
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Mathematics 1, transition (2829)
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Mathematics everywhere (4553)
Mathematics for business economics (3268)
Mathematics for economists (1533)
Mathematics for IT (2193)
Mathematics for IT II (2248)
Measuring systems and interfacing (4347)
Mechanical design 2 (4058)
Mechanical vibration analysis (4540)
Mechanics (3322)
Mechanics and transfer of energy (0262)
Mechanics of materials (4087)
Mechanics of materials (4726)
Mechanics, transition (2821)
Mechatronics project (2722)
Media and Communication Studies I (4734)
Medical and Molecular Biology (3564)
Medical and Molecular Biology DL (3581)
Medical law (2306)
Medical liability (4402)
Medical psychology (4596)
Medical statistics 1 (4437)
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Mediterranean field training (3139)
Mental health (4704)
Meta Analysis (3597)
Metabolic pathways (1574)
Metabolism (3622)
Metabolism and endocrinology (4104)
Methodology of the Social Sciences (4733)
Methods and Statistics (2937)
Methods in Impact Assessment (2211)
Methods of organic synthesis (3555)
Micro- and nanotechnology (3434)
Microbial Risk Assessment (1743)
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Microbiology (1567)
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Microeconomic optimalisation 1 (2112)
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Microeconomics (1309)
Microeconomics (3536)
Microprocessor (4363)
Microprocessors (2194)
Migration Law, including discussion sessions (2288)
Mijn organisatie, mijn team en ik (3246)
Milestone papers in biomedical research (3980)
Modeling Infectious Diseases (4559)
Modeling Infectious Diseases DL (4578)
Modelling week (4129)
Molecular Cell Biology (3126)
Molecular developmental biology (3999)
Molecular developmental biology (3621)
Molecular Ecology (2243)
Molecular genetics (3726)
Molecular genetics and epigenetics (3617)
Molecular genetics and immunology (1831)
Molecular mechanisms of neurological disorders (3739)
Moot Court (1886)
Morfology and Physiology of the higher plants (3120)
Multicampus Module - Advanced waste water threatment (3024)
Multicampus Module - Insects in Food and Feed (3576)
Multicampus Module - Malting and Brewing Technology (3022)
Multicampus Module - Packaging (4478)
Multicampus Module - Process intensification (3026)
Multicampus Module - Sustainable Energy Production (3558)
Multidisciplinary approach to pain (4414)
Multidisciplinary Approaches of Human Factors (4727)
Multidisciplinary biomedical research (3747)
Nano- and microsystems technology (1986)
Nano-electronics (3472)
Nanomaterials: Devices and Integration (3177)
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Nature management (1579)
Negotiation and Mediation (2158)
Network Design & Applications (2176)
Network Labs, Tools and Techniques (3488)
Networks (4490)
Networks Labs, Tools and Techniques (4720)
Neurological aspects of rehabilitation in children (3591)
Neurorehabilitation (4416)
Neuroscience (4101)
Neuroscientific aspects of neurological rehabilitation (2553)
New strategies for process control (4474)
Nonparametric Methods (1796)
Nonparametric Methods DL (3384)
Novel technologies for the energy transition (4532)
Nucleaire meettechniek en dosimetrie in de stralingsbescherming (3107)
Nuclear and medical electronics (4286)
Nuclear engineering skills (2591)
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Nuclear physics 1 (2592)
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Nuclei and particles (3207)
Numbertheory and cryptography (1610)
Numerical methods 1 (1805)
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Object oriented programming (4488)
Object Oriented Programming I (2195)
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Object-oriented programming (1339)
Object-oriented Software Development (4820)
Open innovation in business and research (1682)
Operating Systems (0660)
Operating systems and C (4082)
Operational research (4498)
Operationalisering en uitdieping van de taakstelling van een milieucoördinator (3420)
Operations Research (1546)
Optics (3761)
Optics and waves (1395)
Optimisation and Numerical Methods (4562)
Optimisation and Numerical Methods DL (4584)
Optimization of business models (3901)
Organic chemistry 1 (2516)
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Organic chemistry and process technology (4088)
Organisation field trip chemical profession (3990)
Organisation of production and services operations (1709)
Organization and management of healthcare (3976)
organizational psychology (3544)
Orthopedic and biomechanical aspects of rehabilitation in children (3113)
Packaging materials and physical characterisation techniques (4339)
Parallel and Distributed Systems (2166)
Parallel and Distributed Systems (4717)
Partial differential equations (3341)
Participation in competition (4241)
Past, present and future healthcare (4758)
Pathology of the cell (3627)
pathology, diagnostics and rehabilitation of the spine (2964)
Pavement design and sustainability (4521)
PD: diversity and talents (4161)
PD: Innovation and co-creation (4355)
Performance management (3858)
Person-centered care (4755)
Personal Income Tax (2298)
Personalised medicin in diagnosis and therapy (3743)
Perspectives on Religion and Meaning (4822)
Philosophy (3508)
Philosophy (including ethics) of biology (1571)
Philosophy of Dwelling (2406)
Philosophy of Law (1892)
Philosophy of Law (2303)
Philosophy of science in biomedical research (1443)
Photography (4248)
Photonics and Quantum Technology (3206)
Photorealistic Image Synthesis (3492)
Physical Chemistry (1583)
Physical chemistry and transport phenomena (4466)
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Physical Transport Phenomena (1388)
Physician-researcher course 1 (4453)
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Physics (3683)
Physics & Technology (1537)
Physics & Technology for IT (4185)
Physics and Life (3991)
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Physiology of the Cell (3414)
Physiotherapeutic theory and practice for neurological rehabilitation (2555)
Planet Earth, Climate and Life (3762)
Plastics (3084)
Policy evaluation (3406)
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Policy project (2877)
Political Science and Public Administration I (4737)
Polymeric Materials (1584)
Portfolio (2990)
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Portfolio and Designer Identity (3285)
Posture and movement (4099)
Power electronics (4531)
Power Systems (4428)
Practical skills in sciene education (4246)
Practice 1 (2583)
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Practice of human-centered design approaches (3673)
Practicum food analysis and biotechnology (4468)
Principles of business administration (3265)
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Principles of law (3278)
Principles of Law (1874)
Principles of Statistical Inference (3768)
Principles of Statistical Inference DL (3787)
Private and Family Law and Law of Family Property (2121)
Private International Law (2156)
Private Law of Government (3921)
Probability theory and statistics (2941)
Problem Solving (3368)
Procedural Law (2122)
Process control (2624)
Process innovation - basics (4794)
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Process simulation (3525)
Production and dimensional metrology (2659)
Professional organisation of physiotherapy in Belgium (2546)
Professional skills 2.1 (4440)
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Professional skills 2.4 (4443)
Professional skills: Integration (4605)
Programming and algorithmic thinking (3725)
Programming in Python (3306)
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Programming in R (4406)
Programming in R DL (4432)
Project Development and Management (4826)
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Project Internship (2422)
Project management (4752)
Project Management (4191)
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Project: Data Science (4563)
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Project: Learning from Data (1113)
Project: Learning from Data DL (3222)
Project: Multivariate and Hierarchical Data (3565)
Project: Multivariate and Hierarchical Data DL (3582)
Projectmanagement (3897)
Properties of functional materials (4675)
Property and Contract Law (2125)
Property Law (2239)
Psychology (3274)
Psychology and group dynamics (3510)
Psychology and group dynamics (3877)
Psychology and Law (2505)
Public administration (3861)
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Qualitative research (4748)
qualitative research methodology (3721)
Qualitative Research Methods (4309)
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Quality and (patient) safety (4754)
Quality and safety in research (4030)
Quality management (3971)
Quality management (4269)
Quantitative Analysis (3911)
Quantitative methods for technology evaluation (3902)
Quantitative research methods (4298)
Quantitative researche methods (4495)
Quantum and Computational Chemistry (1587)
Quantum Effects in Biology (4094)
Quantum Mechanics 1 (1442)
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Quantum Mechanics and Atomic Physics (3992)
Radiation detection and measurements (4480)
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Radiation processes in astronomy (2989)
Radiation protection and dosimetry (2801)
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Radiotherapy and dosimetry (4287)
Reactor engineering (3301)
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Recent developments in the applicable biology of the bone (3098)
Refrigeration and air conditioning (4350)
Regelgeving, optimalisering en ethiek in de stralingsbescherming (3109)
Regenerative medicine (3978)
Rehabilitation in geriatric and psychiatric disorders (4412)
Rehabilitation in internal disorders (4407)
Rehabilitation in pediatric populations (4413)
Rehabilitation of critically ill patients (3133)
Rehabilitation of metabolic disorders (3925)
Rehabilitation of Mild Motor Problems in Children with Developmental Disorders (3116)
Rehabilitation of musculoskeletal disorders (4411)
Rehabilitation of oncological disorders (3926)
Rehabilitation of respiratory-cardiovascular and metabolic disorders in children (3115)
Rehabilitation technology (2556)
Relativity (3344)
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Renovation and restoration (2872)
Research acquaintance projects (1635)
Research applications in TEW (4683)
Research Competencies (4245)
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Research Methodology 1 for Master's thesis: Interdisciplinary research methods (4395)
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Research Seminar 1 Circular Building (2353)
Research Seminar 1 City Making (2350)
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Research Seminar 1 Genius Loci (4510)
Research Seminar 1 Lovemarks (4511)
Research Seminar 1 Passage (4512)
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Research Seminar 2 Circular Building (2363)
Research Seminar 2 City Making (2364)
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Research Seminar 2 Genius Loci (4515)
Research Seminar 2 Lovemarks (4516)
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Research Seminars (4103)
Research track: cardiovascular sciences (3957)
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Research Training (2925)
Research training and thesis project biochemistry (1989)
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Resilience and Security by Design (4718)
Risk management and internal control (1554)
Risk management in fincancial institutions (3178)
Road Safety Audit (4204)
Road safety in the South (3653)
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Robotics & sensor technology (2708)
Robust Statistics (3602)
Sampling Theory (1800)
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Science and ethics (4599)
Science and technology everywhere (4250)
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scientific education part 2 (4115)
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Scientific writing and communication (4750)
Second advanced clinical internship (4800)
Selected topics in manual therapy (3594)
Selected topics in musculoskeletal pathology and manual therapy including screening (3797)
Selected topics in musculoskeletal pathology and sports physical therapy including screening (3798)
Selected topics in sports physical therapy (3595)
Selected topics on nature conservation in developing countries (3458)
Seminar HW (3702)
Semiotics of Art and Space (2398)
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Separation processes (4335)
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SESsions: inspiration in the class room (4799)
Signals and Systems (3170)
Simulation Theory and Applications (3603)
SME management and family firms (3863)
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Social law (3540)
Social Welfare Law (2291)
Social, Political and Media philosophy (4741)
Sociology (1534)
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Soft Condensed Matter (1633)
Software design in Java (3826)
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Software engineering for integrated systems (4487)
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Soil mechanics 1 (2666)
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Solid State Physics (1594)
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Spatial development 1 (3498)
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Spatial Epidemiology (4560)
Spatial Epidemiology DL (4579)
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Spectroscopy: study in depth (1585)
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State Aid and Public Procurement (Jean Monnet Module) (3004)
Statics and Strength of Materials (4629)
Statistical and Computational Methods for Integrated Analysis (1756)
Statistical and Computational Methods for Integrated Analysis DL (3790)
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Strategy (2025)
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Structural Analysis & Building Construction 1A (4107)
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Structural Analysis & Building Construction 3A (3799)
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Summer school retail design: Sustainable Retail Interfaces (digital & physical) (3244)
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Supply Chain Relations (3868)
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Supreme courts (3803)
Survey Methodology (3600)
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Survival Data Analysis DL (3632)
Sustainability analysis (3752)
Sustainability in energy and design (4346)
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Sustainable materials and energy (4677)
Sustainable processes and materials (4470)
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Synthetic methods and synthetic strategies toward organic compounds (1402)
System innovation - basics (4792)
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Systematic literature review in health care (4749)
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Language of instruction : English

Sequentiality
No sequentiality

Degree programme Study hours Credits P2 SBU P2 SP 2^{nd} Chance Exam^{1} Tolerance^{2} Final grade^{3}
3rd year Bachelor of Mathematics option Biomathematics Compulsory 135 5,0 135 5,0 Yes Yes Numerical
3rd year Bachelor of Mathematics option Computational Mathematics Compulsory 135 5,0 135 5,0 Yes Yes Numerical
Learning outcomes

EC EC 3: A graduate of the Bachelor of Mathematics programme has mastered the formal mathematical language and methodology. He/she is able to work at a sufficiently high level of abstraction.

EC EC 4: A graduate of the Bachelor of Mathematics programme is able to understand a mathematical proof, he/she is able to judge whether an argument is correct and is able to understand which properties are used (in the context of the acquired knowledge). He/she can identify a gap or a redundant step in a proof or a calculation.

EC EC 5: A graduate of the Bachelor of Mathematics programme can apply the theories and methods to relatively simple mathematical problems (theoretical as well as computational). He/she can make and write down a mathematical line of reasoning by him/herself.

EC EC 6: A graduate of the Bachelor of Mathematics programme is able to integrate the acquired knowledge in new mathematical topics. He/she understands the connection between subjects.

EC EC 8: A graduate of the Bachelor of Mathematics programme had some skills in modelling.

EC EC 10: A graduate of the Bachelor of Mathematics programme has knowledge of a number of applications of mathematics

EC EC 12: A graduate of the Bachelor of Mathematics programme has a basic knowledge of programming and is able to use common mathematical software (e.g.. Maple, Matlab).

EC EC 13: A graduate of the Bachelor of Mathematics programme is familiar with English professional literature.

EC EC 14: A graduate of the Bachelor of Mathematics programme has a critical attitude and a research attitude.

EC EC 16: A graduate of the Bachelor of Mathematics programme is able to work and plan independently, he/she is able to evaluate him/herself and is able to adjust his or her behaviour accordingly.

EC = learning outcomes DC = partial outcomes BC = evaluation criteria

Content: This course is an introduction to numerical methods for partial differential equations (PDEs). For each of the three important categories of PDEs (elliptic, parabolic, hyperbolic), we study basic properties and analyze suitable numerical methods (finite differences, finite volumes, finite elements). The student will use these methods to approximate the solution to a partial differential equation in order to simulate a process from the sciences (could be physics, biology, chemistry or engineering). Next to methodologies, mathematical issues regarding the reliability of the obtained approximations will be treated. These mathematical issues involve error analysis, consistency, stability and convergence.

Lecture ✔
Response lecture ✔

Period 2 Credits 5,00

Evaluation method
Written evaluaton during teaching periode 70 %

Additional information A student has to take part in all the subexams. In case the student does not take part in one or more of the subexams, he/she will get a grade "N" ("examenonderdeel niet volledig afgelegd: ongewettigd afwezig voor onderde(e)len van de evaluatie")

Second examination period

Evaluation second examination opportunity different from first examination opprt
Explanation (English) 100% oral exam

Prerequisites
The student is able to perform elementary algebraic operations on matrices, such as addition, multiplication and solution of systems of equations (LU, Choleski, Gauss etc).

The student is able to use Numerical Integration, Interpolation, Iterative methods for nonlinear equations (such Newton-Raphson, Picard's Fixed Method).

The student is able to use numerical time-integration for initial value problems, and (s)he is able to assess mathematical issues like convergence, consistence and stability.

The student is able to compute eigenvalues, eigenvectors, eigenfunctions for matrices and elementary differential operators.

The student is able to apply Riesz' Representation Theorem and Lax Milgram's Theorem (though these concepts will be recapitulated).

The student is able to integrate over curves, surfaces and volumes, and (s)he is able to apply Gauss' Divergence and Stokes' Circulation Theorems.

Compulsory coursebooks (printed by bookshop)
foutschatting eindige elementenmethode,This document describes an introduction to the error analysis of finite element methods.

Compulsory course material
1. Book: J van Kan, A Segal, FJ Vermolen. Numerical Methods in Scientific Computing. Delft Academic Press, second edition, 2014, ISBN 9789065623645

2. Lecture notes: J Schuetz and FJ Vermolen. Still in development

3rd year Bachelor of Mathematics option free choice addition Optional 135 5,0 135 5,0 Yes Yes Numerical
Exchange Programme Mathematics Optional 135 5,0 135 5,0 Yes Yes Numerical
Learning outcomes

EC EC 3: A graduate of the Bachelor of Mathematics programme has mastered the formal mathematical language and methodology. He/she is able to work at a sufficiently high level of abstraction.

EC EC 4: A graduate of the Bachelor of Mathematics programme is able to understand a mathematical proof, he/she is able to judge whether an argument is correct and is able to understand which properties are used (in the context of the acquired knowledge). He/she can identify a gap or a redundant step in a proof or a calculation.

EC EC 5: A graduate of the Bachelor of Mathematics programme can apply the theories and methods to relatively simple mathematical problems (theoretical as well as computational). He/she can make and write down a mathematical line of reasoning by him/herself.

EC EC 6: A graduate of the Bachelor of Mathematics programme is able to integrate the acquired knowledge in new mathematical topics. He/she understands the connection between subjects.

EC EC 8: A graduate of the Bachelor of Mathematics programme had some skills in modelling.

EC EC 10: A graduate of the Bachelor of Mathematics programme has knowledge of a number of applications of mathematics

EC EC 12: A graduate of the Bachelor of Mathematics programme has a basic knowledge of programming and is able to use common mathematical software (e.g.. Maple, Matlab).

EC EC 13: A graduate of the Bachelor of Mathematics programme is familiar with English professional literature.

EC EC 14: A graduate of the Bachelor of Mathematics programme has a critical attitude and a research attitude.

EC EC 16: A graduate of the Bachelor of Mathematics programme is able to work and plan independently, he/she is able to evaluate him/herself and is able to adjust his or her behaviour accordingly.

EC = learning outcomes DC = partial outcomes BC = evaluation criteria

Content: This course is an introduction to numerical methods for partial differential equations (PDEs). For each of the three important categories of PDEs (elliptic, parabolic, hyperbolic), we study basic properties and analyze suitable numerical methods (finite differences, finite volumes, finite elements). The student will use these methods to approximate the solution to a partial differential equation in order to simulate a process from the sciences (could be physics, biology, chemistry or engineering). Next to methodologies, mathematical issues regarding the reliability of the obtained approximations will be treated. These mathematical issues involve error analysis, consistency, stability and convergence.

Lecture ✔
Response lecture ✔

Period 2 Credits 5,00

Evaluation method
Written evaluaton during teaching periode 70 %

Additional information A student has to take part in all the subexams. In case the student does not take part in one or more of the subexams, he/she will get a grade "N" ("examenonderdeel niet volledig afgelegd: ongewettigd afwezig voor onderde(e)len van de evaluatie")

Second examination period

Evaluation second examination opportunity different from first examination opprt
Explanation (English) 100% oral exam

Prerequisites
The student is able to perform elementary algebraic operations on matrices, such as addition, multiplication and solution of systems of equations (LU, Choleski, Gauss etc).

The student is able to use Numerical Integration, Interpolation, Iterative methods for nonlinear equations (such Newton-Raphson, Picard's Fixed Method).

The student is able to use numerical time-integration for initial value problems, and (s)he is able to assess mathematical issues like convergence, consistence and stability.

The student is able to compute eigenvalues, eigenvectors, eigenfunctions for matrices and elementary differential operators.

The student is able to apply Riesz' Representation Theorem and Lax Milgram's Theorem (though these concepts will be recapitulated).

The student is able to integrate over curves, surfaces and volumes, and (s)he is able to apply Gauss' Divergence and Stokes' Circulation Theorems.

Compulsory coursebooks (printed by bookshop)
foutschatting eindige elementenmethode,This document describes an introduction to the error analysis of finite element methods.

Compulsory course material
1. Book: J van Kan, A Segal, FJ Vermolen. Numerical Methods in Scientific Computing. Delft Academic Press, second edition, 2014, ISBN 9789065623645

2. Lecture notes: J Schuetz and FJ Vermolen. Still in development

Master of Teaching in Sciences and Technology - Engineering and Technology choice for subject didactics math Optional 108 4,0 108 4,0 Yes Yes Numerical
Learning outcomes

EC WET 1. The newly graduated student has advanced knowledge, insight, skills and attitudes in the disciplines relevant to his/her specific subject didactics and is able to communicate these appropriately to his/her stakeholders.

EC = learning outcomes DC = partial outcomes BC = evaluation criteria

Content: This course is an introduction to numerical methods for partial differential equations (PDEs). For each of the three important categories of PDEs (elliptic, parabolic, hyperbolic), we study basic properties and analyze suitable numerical methods (finite differences, finite volumes, finite elements). The student will use these methods to approximate the solution to a partial differential equation in order to simulate a process from the sciences (could be physics, biology, chemistry or engineering). Next to methodologies, mathematical issues regarding the reliability of the obtained approximations will be treated. These mathematical issues involve error analysis, consistency, stability and convergence.

Lecture ✔
Response lecture ✔

Period 2 Credits 4,00

Evaluation method
Written evaluaton during teaching periode 70 %

Additional information A student has to take part in all the subexams. In case the student does not take part in one or more of the subexams, he/she will get a grade "N" ("examenonderdeel niet volledig afgelegd: ongewettigd afwezig voor onderde(e)len van de evaluatie")

Prerequisites
The student is able to perform elementary algebraic operations on matrices, such as addition, multiplication and solution of systems of equations (LU, Choleski, Gauss etc).

The student is able to use Numerical Integration, Interpolation, Iterative methods for nonlinear equations (such Newton-Raphson, Picard's Fixed Method).

The student is able to use numerical time-integration for initial value problems, and (s)he is able to assess mathematical issues like convergence, consistence and stability.

The student is able to compute eigenvalues, eigenvectors, eigenfunctions for matrices and elementary differential operators.

The student is able to apply Riesz' Representation Theorem and Lax Milgram's Theorem (though these concepts will be recapitulated).

The student is able to integrate over curves, surfaces and volumes, and (s)he is able to apply Gauss' Divergence and Stokes' Circulation Theorems.

Compulsory coursebooks (printed by bookshop)
foutschatting eindige elementenmethode,This document describes an introduction to the error analysis of finite element methods.

Compulsory course material
1. Book: J van Kan, A Segal, FJ Vermolen. Numerical Methods in Scientific Computing. Delft Academic Press, second edition, 2014, ISBN 9789065623645

2. Lecture notes: J Schuetz and FJ Vermolen. Still in development

^{1} examination regulations art.1.3, section 4.
^{2} examination regulations art.4.7, section 2.
^{3} examination regulations art.2.2, section 3.

Legend
SBU : course load SP : ECTS N : Dutch E : English