6 ECTS credits
180 h study time
Offer 1 with catalog number 2019967ANR for all students in the 1st and 2nd semester at a (A) Bachelor - preliminary level.
This course consists of 3 parts: Calculus part 1, Calculus part 2 and Linear Algebra.
As for many students, this is the first mathematical course taken in their science studies, another important pedagogical aim is to get used to and to work with mathematical formalism.
CALCULUS part 1 and 2
The main aim of this course is acquiring and applying the necessary Calculus skills needed for applications in other courses in science studies.
HOC
Calculus part 1
1. Limits and continuity
2. Derivatives
3. Integration
4. Differential equations
Calculus part 2
5. Rows and series
The Taylor and MacLaurin serie
6. Functions of more than one variable: partial derivatives
WPO
The WPOs are guided exercice sessions and are compulsory.
CONTENT LINEAR ALGEBRA (ID:6354)
The main aim of this course is acquiring and applying the necessary linear algebra
skills needed for applications in other courses in your science studies,
such as, for example, physics, statistics, data-analyses, biology.
It is not the intention to prove the results, techniques and theorems stated in the
course.
HOC
1. Systems of linear equations
2. Matrices and determinants
3. Matrices in echalon form and the Gauss method
4. Vectors in the plane and in space, orthogonality and equations
5. Vector spaces, basis and dimension
6. Linear mappings
7. Eigenvalues and eigenvectors, diagonalisabilty and diagonalisation
8. Applications in science and data science
WPO
The WPOs are guided exercice sessions and are compulsory.
Calculus part 1 will be taught in the first semester. In the second semester Calculus part 2 and Linear Algebra will be taught in parallel.
Compulsary course material consists of 2 customized books:
Thomas' Calculus: isbn: 9781781344101.
Linear Algebra and Applications: isbn: 9781784492953
Both books are availalble in a discount package under ISBN number: 9781784496982.
The slides used during the lectures will be available on line.
The student must be able to apply the mathematical techniques and methods.
The final grade is composed based on the following categories:
Written Exam determines 86% of the final mark.
Other Exam determines 14% of the final mark.
Within the Written Exam category, the following assignments need to be completed:
Within the Other Exam category, the following assignments need to be completed:
An exam is organized in January on Calculus part 1 (contents taught during the first term), an exam is organized in June on Calculus part 2 (contents taught during the second term) and Linear Algebra.
If the weighted final score is 8/20 or above and the score of one of the 3 parts, Calculus part 1 (written examination and permanent evaluation 1), Calculus part 2 (written examination) or Linear Algebra (written examination and permanent evaluation 2), is less than 8/20, then the final score is 7/20. As such it is guaranteed that the student has obtained sufficient knowledge for all parts of the course.
Each of the three partial scores of at least 10/20 (Calculus January, Calculus June, Linear Algebra) is transferable to the next examination period (August) and the examination periods of the next academic year. The student can relinquish this transfer of partial mark(s), provided he/she reports this to both lecturers by e-mail not later than August 15 (transfer to 2nd session) or November 1 (transfer to the next academic year). Once the student has indicated that he/she will abandon his/her partial mark, he/she will irrevocably lose the partial mark.
The scores of the permanent evaluation are transfered to the 2nd session.
This offer is part of the following study plans:
Bridging Programme Master of Science in Applied Sciences and Engineering: Computer Science: Standaard traject (only offered in Dutch)
Bridging Programme Master of Science in Applied Computer Science: Standaard traject (only offered in Dutch)