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Information Visualisation (2185)
Infrastructure 2 (4519)
Infrastructures 1 (4049)
Inleiding tot kanstheorie en statistiek (3319)
Innovation in building (4226)
Innovation in materials technology (4485)
Innovation in nursing and midwifery (4841)
Innovation project - Advanced - part 1 (3281)
Innovation project - Advanced - part 1 (4001)
Innovation project - Advanced - part 2 (3282)
Innovation project - Advanced - part 2 (4002)
Innovation project - Foundations (4808)
Innovation project - Foundations (4807)
Innovative HRM and changing management (2068)
Innovative techniques in imaging (3951)
Innovative technology in diagnosis and therapeutics (3741)
Insolvency Law (2154)
Instrumental analysis (4325)
Instrumental analytical techniques (1582)
Instrumental, technical and communication skills (3973)
Integrated automation 1 (4296)
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Integrated excercise engineering (3939)
Integrated project - Construction (3554)
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Integrated project automation (4700)
Integrated project automation electrotechnics (2835)
Integrated project design and production (3570)
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Integrated Transportation Case (4201)
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Integratie en lezingen (3252)
Intellectual Property Law (2492)
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)
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 (3299)
International applied communication: German (2655)
International business (3884)
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International Dispute Settlement (2491)
international economics (3703)
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International module (4279)
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International module EM and EN (4535)
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international reporting and analysis (4041)
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Internationalisation (4934)
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Internship and electives (4606)
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Internship R&D (4698)
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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 for quantum communication and computing (4902)
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)
Introduction to Semiparametric Regression DL (4005)
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)
Junior internship (4011)
Junior practical training (2093)
Kidney and digestion (4603)
Kinesiology - part 1 (3915)
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Knowledge discovery (1726)
Laboratory animal sciences (3953)
Laboratory animal sciences: theoretical basis (3954)
Laboratory practice chemistry (2564)
Laboratory Practice Food and Packaging (4337)
Laboratory Practice Pharma and Fine Chemicals (4336)
Laboratory skills (3416)
Laboratory skills (2918)
Labour Law (4922)
Labour Law and Social Security Law (2124)
Labview and digital control (4365)
Law and Anthropology (2299)
Law and Economics (2161)
Law and Environment (2234)
Law and Power (2237)
Law and Society (2157)
Law and transportation science (2110)
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)
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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)
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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 and artificial intelligence in modern materials science (4894)
Machine Learning DL (4590)
Macro-economic policy (1541)
Macroeconomics (1169)
Macroeconomics (3873)
Macroeconomics (3541)
Management 4 (2343)
Management 5 (2357)
Management accounting (3537)
Management accounting (1770)
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)
Master dissertation AFF (3834)
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Master project and thesis (4127)
Master project chemical engineering technology (4526)
Master project civil engineering technology (4545)
Master project electromechanical engineering technology (4547)
Master project electronics and ICT engineering technology (4525)
Master project energy engineering technology (4548)
Master project nuclear engineering technology (4546)
Master project software systems engineering technology (4936)
Master thesis (4796)
Master thesis (4933)
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Master Thesis Bioinformatics/ICP (3767)
Master Thesis Biostatistics DL (3795)
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Master Thesis Data Science (4571)
Master Thesis Data Science DL (4589)
Master Thesis Design Sciences (4224)
Master Thesis Economics (4208)
Master Thesis Health Sciences (4225)
Master Thesis Quantitative Epidemiology / ICP (3774)
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Master Thesis Science and Technology - Engineering and Technology (4223)
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Master Thesis Short Program (4207)
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Master Thesis_DL (4593)
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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 Electromechanical Engineering: Management (4949)
Master's thesis Energy (3574)
Master's thesis: Grant writing (4143)
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Masterproef (4913)
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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 for advanced health care (4898)
Materials for organic electronics (4906)
Materials on the nanoscale (3359)
Materials Science (1950)
Materiomics hands-on project (4679)
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Mathematics for economists (1533)
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Measuring systems and interfacing (4347)
Mechanical design 2 (4058)
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Mechanics (3322)
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Media and Communication Studies I (4734)
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Medical and Molecular Biology (3564)
Medical and Molecular Biology DL (3581)
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Meta Analysis (3597)
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Methodology of the social sciences (4733)
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Microprocessor (4363)
Migration Law, including discussion sessions (2288)
Mijn organisatie, mijn team en ik (3246)
Milestone papers in biomedical research (3980)
Modeling Infectious Diseases (4559)
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Modelling week (4129)
Molecular Cell Biology (3126)
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Molecular developmental biology (3999)
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Molecular mechanisms of neurological disorders (3739)
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Nano- and microsystems technology (1986)
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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)
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Neurological aspects of rehabilitation in children (3591)
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Neuroscience (4101)
Neuroscientific aspects of neurological rehabilitation (2553)
New materials for photovoltaics (4904)
New strategies for process control (4474)
Nog te bepalen (4709)
Nonparametric Methods (1796)
Nonparametric Methods DL (3384)
Novel technologies for the energy transition (4532)
Nuclear and medical electronics (4286)
Nuclear engineering skills (2591)
Nuclear materials (4276)
Nuclear physics 1 (2592)
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Nuclei and particles (3207)
Numbertheory and cryptography (1610)
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Object oriented programming (4488)
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Object Oriented Programming I (2195)
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Object-oriented programming (1339)
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Official Statistics (4945)
Open innovation in business and research (1682)
Operating Systems (0660)
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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)
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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)
Parasitology and One Health (4921)
Partial differential equations (3341)
Participation in competition (4241)
Past, present and future healthcare (4758)
Pathology of the cell (3627)
Pavement design and sustainability (4521)
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Person-centered care (4755)
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Perspectives on Religion and Meaning (4822)
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Photography (4248)
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Physical Chemistry (1583)
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Physics & Technology for IT (4185)
Physics and Life (3991)
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Physiotherapeutic theory and practice for neurological rehabilitation (2555)
Planet Earth, Climate and Life (3762)
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Policy evaluation (3406)
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Portfolio (2990)
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Principles of business administration (3265)
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Principles of Statistical Inference DL (3787)
Private and Family Law and Law of Family Property (2121)
Private International Law (2156)
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Probability theory and statistics (2941)
Problem Solving (4861)
Procedural Law (2122)
Process and Data Modelling (4851)
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)
Programming and algorithmic thinking (3725)
Programming in Python (3306)
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Project and Communication Skills (part 1) (4864)
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Property and Contract Law (2125)
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Protein based biomaterials (4912)
Psychology (3274)
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qualitative research methodology (3721)
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Quantum and Computational Chemistry (1587)
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Quantum sensors for cross-disciplinary fields (4908)
Quantum theory of molecules and materials (4897)
Radiation detection and measurements (4480)
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Recent developments in the applicable biology of the bone (3098)
Refrigeration and air conditioning (4350)
Regenerative medicine (3978)
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Rehabilitation technology in neurological populations (2556)
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Renovation and restoration (2872)
Research acquaintance projects (1635)
Research applications in TEW (4683)
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Robotics & sensor technology (2708)
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scientific education part 2 (4115)
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Selected topics in musculoskeletal pathology and sports physical therapy including screening (3798)
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Survival Data Analysis (0383)
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Sustainability analysis (3752)
Sustainability in energy and design (4346)
Sustainable development goals: materials and their management (4890)
Sustainable innovation (2055)
Sustainable logistics (3180)
Sustainable materials and energy (4677)
Sustainable polymers (4911)
Sustainable processes and materials (4470)
Sustainable tourism management (3513)
Sustainable Transportation Policy (4198)
Sustainable Transportation Policy_DL (4328)
Sustainable, smart & safe packaging (4477)
Symmetry and Physics (4855)
Synthetic methods and synthetic strategies toward organic compounds (1402)
System innovation - basics (4792)
System innovation - in depth (4793)
System toxicology (3962)
System-on-Chip design and experimentation (3314)
Systematic literature review in health care (4749)
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Tax Law (1890)
Tax Law and Social Law (1553)
Tax Procedure (2295)
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Teaching practice (4788)
Teaching practice 1 (4779)
Teaching practice 1 LIO (4786)
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Teaching practice 2 (4375)
Teaching practice 2 LIO (4787)
Teaching practice 3 (4376)
Technical installations and EPB (4391)
Techniques in business information systems (3545)
Technological innovations (3751)
Technology management (3346)
Technology-supported innovation in health and wellbeing (3805)
Technology-supported rehabilitation and innovation (4728)
Telecommunication (4915)
testx (4666)
The biologist in society (3355)
The Court of Justice and the Emerging Common Law of Europe (2283)
The digestive system (3623)
the endocrine and reproductive systems (3616)
The good lawyer (4398)
The human being and healthcare innovation (4836)
The impact of nutrition and lifestyle on immunity and disease (4417)
The Law of the economic and Monetary Union (4614)
the musculoskeletal system (4099)
The neurological and internal systems (3932)
The planet Earth: geology and sustainability (0254)
Theoretical Computer Science (4377)
Theory & Reflect studio Beyond Borders (4620)
Theory Module (3613)
Theory of human-centered design approaches (3672)
Theory of Soft Matter (1477)
Thermal energy conversion (4383)
Thermal-Fluid Sciences (4817)
Thermodynamics (3986)
Thermodynamics (4086)
Timber (4387)
Time Series and Panel Data Analysis (1953)
Tools and Technologies for Interactive Systems Development (2184)
Topics in Advanced Modeling Techniques (3769)
Topics in Advanced Modeling Techniques DL (3791)
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Traffic and Local Criminal Law (3256)
Traffic engineering (3655)
Traffic management techniques (3929)
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Turbulence, Waves and Instability (3173)
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User-Centered Design (4724)
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Value added Tax, including discussion sessions (2293)
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Vector calculus and differential equations (4708)
Vectorcalculus (4093)
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Language of instruction : English

Sequentiality
Advising sequentiality bound on the level of programme components
Group 1
Following programme components are advised to also be included in your study programme up till now.
Calculus 1 (3376)
4.0 stptn
Calculus 2 (3323)
4.0 stptn
Computer Labs for Mathematics (4550)
5.0 stptn
Linear algebra (3983)
4.0 stptn
Numerical methods 1 (1805)
4.0 stptn
Numerical methods 2 (3238)
4.0 stptn
Programming and algorithmic thinking (3725)
5.0 stptn
Or group 2
Following programme components are advised to also be included in your study programme up till now.
Calculus 1 (4543)
4.0 stptn
Calculus 2 (3323)
4.0 stptn
Computer Labs for Mathematics (4550)
5.0 stptn
Linear algebra (3983)
4.0 stptn
Numerical methods 1 (1805)
4.0 stptn
Numerical methods 2 (3238)
4.0 stptn
Programming and algorithmic thinking (3725)
5.0 stptn

Degree programme Study hours Credits P2 SBU P2 SP 2^{nd} Chance Exam^{1} Tolerance^{2} Final grade^{3}
Bachelor of Mathematics year 3 - pakket toegepaste wiskunde 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

General Knowledge: Elementary numerical techniques like numerical quadrature, Lagrangian Interpolation, Root finding. Elementary linear algebra like matrix addition - multiplication, eigenvectors, eigenvalues. Vector algebra like Stokes' Circulation Theorem, Gauss' Divergence Theorem. Elementary knowledge of ordinary differential equations, numerical integration, stability, consistence, convergence.

Behavior:

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

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 80 %

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

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 135 5,0 135 5,0 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

General Knowledge: Elementary numerical techniques like numerical quadrature, Lagrangian Interpolation, Root finding. Elementary linear algebra like matrix addition - multiplication, eigenvectors, eigenvalues. Vector algebra like Stokes' Circulation Theorem, Gauss' Divergence Theorem. Elementary knowledge of ordinary differential equations, numerical integration, stability, consistence, convergence.

Behavior:

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

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 80 %

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")

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

Exchange Programme Mathematics Optional 135 5,0 135 5,0 Yes Yes Numerical
General Knowledge: Elementary numerical techniques like numerical quadrature, Lagrangian Interpolation, Root finding. Elementary linear algebra like matrix addition - multiplication, eigenvectors, eigenvalues. Vector algebra like Stokes' Circulation Theorem, Gauss' Divergence Theorem. Elementary knowledge of ordinary differential equations, numerical integration, stability, consistence, convergence.

Behavior:

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

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 80 %

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")

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} Education, Examination and Legal Position Regulations art.12.2, section 2.
^{2} Education, Examination and Legal Position Regulations art.16.9, section 2.
^{3} Education, Examination and Legal Position Regulations art.15.1, section 3.

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