9 ECTS credits
235 h study time
Offer 1 with catalog number 1015391ANR for all students in the 1st semester at a (A) Bachelor - preliminary level.
This course unit includes the following three modules:
Module A: compulsory remediation after the starting test ('starttoets')
Module B: seminars
Module C: subject matter algebra, analysis and geometry
Module A
This module is the remedial course after the starting test. In this remedial course the student must rehearse the mathematical prior knowledge necessary for the study program. Students who did not pass the start test/calibration test and did not yet follow an (extracurricular)
remediation program must follow this remediation program.
Students who passed the start test/calibration test or failed on the starter test/calibration test and were already following an (extracurricular)
remediation program during the summer must substitute take module B (seminars) instead of module A.
Module A contains the following chapters:
- Algebra
- Linear algebra
- Plane geometry
- Goniometry
- Calculating limits, derivatives, integrals
- Logic and sets
Module B
This module consists of three seminars (lectures) on mathematics and sciences.
Module C
This module contains the following chapters from the fields of
algebra, analysis and geometry:
- Space geometry
- Mathematical Proofs
- Linear transformations
- Diagonalization of matrices
- Sequences of numbers and applications
- Derivatives and applications
- Definite integrals and applications
- Differential equations
- Curves and quadrics
All students take Module C.
Students taking the remedial course will take Module A in addition to Module C.
Those students who do not follow the remedial course will take Module B in addition to
Module C.
Attendance of the WPO classes is mandatory. Students with more than 25% unexcusable absences are not allowed at the written exam. The student can bring an official testimonial to the lecturer to excuse for an absence or send an excuse e-mail to inform about exceptional circumstances.
The learning outcomes of Module A:
The student masters the entry-level competencies in mathematics and masters the solution techniques for the associated exercises in the following sections:
- Linear algebra
- Plane geometry
- Goniometry
- Calculating limits, derivatives, integrals
Module B learning outcomes:
Through participation in seminars, the student will have an understanding of the importance of mathematics as a
basic science.
From Module C:
The student demonstrates accuracy in the use of scientific notations and in formulating mathematical properties.
The student masters various techniques that allow proving mathematical theorems and properties.
The student will be able to investigate the geometric actions of linear transformations in two and three dimensions.
The student masters the basic techniques of matrix algebra and can apply eigenvalues and eigenvectors to predict the long-term behavior of
simple dynamical systems.
The student knows the properties of continuous numeric functions of one variable and can investigate the convergence behavior of sequences of real numbers. The student knows some of the most common approximation methods of solutions of equations with sequences and can apply them.
The student masters the various rules for calculating limits, derivatives and integrals for functions of one variable.
The student will master the mathematical concepts and techniques of derivatives of functions of one variable and can use them to describe the behavior of functions and can apply them to extremum problems.
The student masters the concept of the definite integral of a function of one variable and can apply this concept in calculations of area, volume and length.
The student can calculate improper integrals of different types and can use of improper integrals to calculate the area of unbounded regions.
The student can calculate differential equations of first order and linear differential equations of higher order with constant coefficients.
The student masters the description of common curves and surfaces and of reflections and rotations in two and three dimensions.
The student knows various coordinate systems in the plane and in space and can apply the transition rules between these systems.
The student can describe curves in the plane and in space with parametrisations and can investigate geometrical properties of curves using parametrisations.
The final grade is composed based on the following categories:
Written Exam determines 80% of the final mark.
Other determines 20% of the final mark.
Within the Written Exam category, the following assignments need to be completed:
Within the Other category, the following assignments need to be completed:
The learning in Module C is evaluated through a written exam. The written exam consists of an exercises-part (weighting 60% of the exam score) and a theory-part (weight 40% of the exam score). On this written exam, the student must solve exercises
the types and difficulty of the exercises found in the digital course notes available on the learning platform. Also on the
written exam theory questions test the student's knowledge of the theory (definitions, properties and theorems,
derivations and proofs). The written exam counts with a weight of 80% in the final score.
For students who are required to take Module A, Module A counts with a weight of 20% in the final grade. Module A is evaluated through
a system of continuous evaluation in which attendance in the WPO's and the completion of tasks and tests count. The concluding
test of Module A will be organized in Week 7. The exact requirements for fulfilling the requirements in Module A will be
specified on the learning platform. If the student meets the requirements of Module A, the student will achieve a score on this part
of 20/20. If the student does not meet the requirements of Module A,
the student achieves a score of 0/20 on this part.
For students required to take Module B, Module B will count with a weight of 20% in the final grade. Module b will be evaluated through
a system of continuous evaluation in which attendance in the seminars count. The exact requirements for fulfilling the requirements in Module B are specified on the learning platform. If the student meets the requirements of Module B, the student achieves a score of 20/20 on this section. If the student does not meet the requirements of Module B, the student achieves a score of score of 0/20.
A written mid-term evaluation will be organized in Week 7. This mid-term evaluation covers the discussed course contents from Module C
(both theory and exercises) up to the time of this interim evaluation. Participation in the mid-term evaluation is mandatory. If the student is unjustifiably absent from this midterm evaluation, participation in the written exam may be refused. In this case, the student will be informed before the end of the first semester. The score on the mid-term evaluation does not count count in the final grade, unless the score on the mid-term evaluation is higher than the score on the written exam: in that case, the score on the midterm evaluation counts for 20% in the written exam.
Final score in the second session:
No second session exam is possible for Module A. The score on Module A will be passed unchanged from the first to the second
exam session.
For Module B, no second session exam is possible. The score on Module B is passed unchanged from the first to the second
session.
The written exam can be retaken during the second session. No mid-term evaluation will be organised in the second session.
This offer is part of the following study plans:
Bachelor of Architectural Engineering: Standaard traject (only offered in Dutch)
Bachelor of Architectural Engineering: Verkort traject (only offered in Dutch)
Bachelor of Bioengineering Sciences: Profile Cell and Gene Biotechnology (only offered in Dutch)
Bachelor of Bioengineering Sciences: Profile Chemistry and Bioprocess Technology (only offered in Dutch)
Bachelor of Bioengineering Sciences: Initial track (only offered in Dutch)