Advanced Mathematics (B-TM-YT0995)

Aims
Following chapters are covered:
- Complex numbers - objectives: students can define the origin, meaning of complex numbers, make arithmetic operations with complex numbers (addition, subtraction, multiplication, division), represent complex numbers in different ways and convert from one form to another (cartesian, polar and trigonometric form);
- Differential equations - objectives: students can classify differential equations according to different properties, solve 1st and 2nd order differential equations in different ways (separation of variables, integrating factor, characteristic equation, indeterminate coefficients, (inverse) Laplace transformation), present practical problems/issues with a differential equation and solve them;
- Laplace transformations - objectives: students can calculate the Laplace transformation of a given function using partial integration, prove certain properties of the Laplace transformation, split a polynomial function into partial fractions to calculate the inverse Laplace;
- Linear Algebra; Matrices and Vectors - objectives: students know the difference between scalar numbers and vectors, the properties of vectors and can represent vectors graphically and add and subtract. Students can construct a matrix from given equations (system), can do basic operations with matrices, know different types and properties of matrices, can calculate the determinant of a matrix, can solve a system of equations using matrices by applying Cramer's rule, can calculate the inverse of a matrix.
Is included in these courses of study
- Bachelor Autotechnologie (Sint-Katelijne-Waver) 180 ects.
- Bachelor Elektromechanica (Sint-Katelijne-Waver) 180 ects.
- Bachelor Elektronica-ICT (Sint-Katelijne-Waver) 180 ects.
- Bachelor Ontwerp- en Productietechnologie (Sint-Katelijne-Waver) 180 ects.
- Bachelor of Electronics-ICT - English Programme (Sint-Katelijne-Waver) 180 ects.
- Bachelor of Automotive Technology - English Programme (Sint-Katelijne-Waver) 180 ects.
Activities
6 ects. Advanced Mathematics (B-TM-YT6420)
Content
- Complex numbers
- Differential equations
- Laplace transformations
- Linear algebra; matrices & vectors
Course material
- Powerpoints + notes
- (additional English-language course - this is optional and may serve as additional support)
Language of instruction: more information
Classes and course material are English
Format: more information
Practice session
Lecture - Exercise session
1.5h/week theory: Theory is taught during the theory lessons and some exercises are made in class
1.5h/week exercises: During practice sessions, students engage in the exercises themselves with support from the lecturer
Evaluation
Advanced Mathematics (B-TM-YT7995)
Explanation
Assessment | Grading scale |
---|---|
TOTAL | 1-20/20 scale |
1st chance: end of semester 1 - December
Information about retaking exams
This course unit does not allow partial mark transfers.
2nd chance: exam period January