| Language of instruction : English |
|
Sequentiality
|
| |
|
Mandatory sequentiality bound on the level of programme components
|
| |
| |
| |
Following programme components must have been included in your study programme in a previous education period
|
| |
|
Calculus 2 (3323)
|
4.0 stptn |
| |
|
| Degree programme | | Study hours | Credits | P1 SBU | P1 SP | 2nd Chance Exam1 | Tolerance2 | Final grade3 | |
 | 2nd year Bachelor of Physics | Compulsory | 108 | 4,0 | 108 | 4,0 | Yes | Yes | Numerical |  |
|
| | | Learning outcomes |
- EC
| EC 2: A graduate of the Bachelor of Physics programme is able to combine various basic theories of physics in studying more complex phenomena which appear for example in solid state physics, astrophysics, atomic physics, nuclear and particle physics and biophysics. |
|
| | EC = learning outcomes DC = partial outcomes BC = evaluation criteria |
|
|
1. Basic concepts of analytic geometry in a real 3-space: scalar product, vectorial product, equations of rights, planes and squares. (as seen in Calculus 2)
2. Real functions in multiple real variables: limit and continuity (intuitive), including simple properties, partial derivative of arbitrary order and applications (tangents, normals, gradients, directional derivatives, derivatives of implicitly defined functions), differentiability. (as seen in Calculus 2)
3. Taylor approximations, of arbitrary order, including error estimates in linear approximations. (as seen in Calculus 2)
4. Double integrals: definition, properties, and techniques to compute these integrals for elementary or regular domains. (as seen in Calculus 2)
5. Extreme values for problems without or with additional conditions. (as seen in Calculus 2)
6. Derivatives of integrals with parameters. (as seen in Calculus 2)
7. The student knows how to work with Cartesian, cylindrical and spherical coordinates in a real 3-dimensional space. (as seen in Vectorcalculus)
8. The student knows the notion of double and triple (proper and improper) integral and can calculate them in different coordinate systems. (as seen in Vectorcalculus)
9. The student knows the notion of scalar field and vector field. He/she knows what a line integral and a surface integral are. He/she can calculate these notions and use them in applications such as the calculation of area and flux. (as seen in Vectorcalculus)
|
|
|
|
This course covers the development of the fundamental equations of hydrodynamics and their simplifications for several cases. Topics include: the principles of conservation and diffusion of mass, momentum and energy, the macroscopic and microscopic explanation of diffusion processes, laminar and turbulent flows, the concept of viscosity and the Reynolds number are explained and how the qualitative behavior of currents depends on them, the development of the Navier-Stokes' equation.
During the exercise sessions (werkzitting) students will use finite element analysis software to solve some problems.
|
|
|
|
|
|
|
|
|
Lecture ✔
|
|
|
|
Small group session ✔
|
|
|
|
Period 1 Credits 4,00
| Evaluation method | |
|
| Written evaluaton during teaching periode | 30 % |
|
| Other | Report on simulation work |
|
|
|
|
|
|
| Additional information | During the simulation work students will simulate liquid (or gas) flow around an object (which students can choose freely) by finite element analysis. The aim is to learn how flow patterns change when the flow velocity is changed (i.e. the analysis is done at different Reynolds numbers), and calculate the drag and lift forces acting on the object. We will use COMSOL Multiphysics 4.3a Class Kit software.
COMSOL will be used during several problem classes to to enable that students learn the software during the course. The simulation assignment will be initiated during the last problem class and then students will continue the work independently, leading to a written report which should be delivered before the exam. |
|
|
|
| Recommended reading |
| |
Physical Hydrodynamics,E. Guyon |
|
|
|
|
|
| Bachelor of Mathematics - verbreding fysica | Broadening | 108 | 4,0 | 108 | 4,0 | Yes | Yes | Numerical | |
|
| | | Learning outcomes |
- 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 11: A graduate of the Bachelor of Mathematics programme has acquired basic knowledge in another scientific discipline. |
|
| | EC = learning outcomes DC = partial outcomes BC = evaluation criteria |
|
|
1. Basic concepts of analytic geometry in a real 3-space: scalar product, vectorial product, equations of rights, planes and squares. (as seen in Calculus 2)
2. Real functions in multiple real variables: limit and continuity (intuitive), including simple properties, partial derivative of arbitrary order and applications (tangents, normals, gradients, directional derivatives, derivatives of implicitly defined functions), differentiability. (as seen in Calculus 2)
3. Taylor approximations, of arbitrary order, including error estimates in linear approximations. (as seen in Calculus 2)
4. Double integrals: definition, properties, and techniques to compute these integrals for elementary or regular domains. (as seen in Calculus 2)
5. Extreme values for problems without or with additional conditions. (as seen in Calculus 2)
6. Derivatives of integrals with parameters. (as seen in Calculus 2)
7. The student knows how to work with Cartesian, cylindrical and spherical coordinates in a real 3-dimensional space. (as seen in Vectorcalculus)
8. The student knows the notion of double and triple (proper and improper) integral and can calculate them in different coordinate systems. (as seen in Vectorcalculus)
9. The student knows the notion of scalar field and vector field. He/she knows what a line integral and a surface integral are. He/she can calculate these notions and use them in applications such as the calculation of area and flux. (as seen in Vectorcalculus)
|
|
|
|
This course covers the development of the fundamental equations of hydrodynamics and their simplifications for several cases. Topics include: the principles of conservation and diffusion of mass, momentum and energy, the macroscopic and microscopic explanation of diffusion processes, laminar and turbulent flows, the concept of viscosity and the Reynolds number are explained and how the qualitative behavior of currents depends on them, the development of the Navier-Stokes' equation.
During the exercise sessions (werkzitting) students will use finite element analysis software to solve some problems.
|
|
|
|
|
|
|
|
|
Lecture ✔
|
|
|
|
Small group session ✔
|
|
|
|
Period 1 Credits 4,00
| Evaluation method | |
|
| Written evaluaton during teaching periode | 30 % |
|
| Other | Report on simulation work |
|
|
|
|
|
|
| Additional information | During the simulation work students will simulate liquid (or gas) flow around an object (which students can choose freely) by finite element analysis. The aim is to learn how flow patterns change when the flow velocity is changed (i.e. the analysis is done at different Reynolds numbers), and calculate the drag and lift forces acting on the object. We will use COMSOL Multiphysics 4.3a Class Kit software. COMSOL will be used during several problem classes to enable that students learn the software during the course. The simulation assignment will be initiated during the last problem class and then students will continue the work independently, leading to a written report which should be delivered before the exam. |
|
|
|
| Recommended reading |
| |
Physical Hydrodynamics,E. Guyon |
|
|
|
|
|
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 |
|