Duration
25h Th, 30h Pr
Number of credits
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
The course begins with the thorough review of elementary mathematical concepts that are part of the curriculum of secondary school.
Next, it proceeds with some generalizations of important concepts, such as functions of multiple variables, integrals on non-compact intervals, ...
More specifically, the main subjects of the course are the following:
- Elements of logic and set theory
- Numbers, absolute values, powers, scientific notation, first and second degree equations, formula transformation of formulas
- Inequalities, systems of equations, proportionalities, matrices
- Geometry: Points, lines, vectors, components and coordinates, equations of lines in the plane, distance and perpendicularity, elements of geometry in space, equations of lines and planes, conic sections
- Trigonometric numbers, specific angles, right triangles, arbitrary triangles
- Dot product, projections, cross product
- Reference functions (including logarithms and exponentials), important constructions
- Limits, continuity, derivatives and their applications, primitives and integral calculus (including on non-compact intervals)
- Basics of functions of several variables
- (If time permits: some differential equations)
Learning outcomes of the learning unit
At the end of this course, students will have acquired a good understanding of the concepts which have been taught. They will be able to determine the context in whiche these techniques are applicable, and will be able to apply them wisely to solve simple or more complex problems.
They will have learned to develop and express logical reasoning.
They will have the necessary mathematical background to tackle user-based mathematics courses in the rest of their program.
Prerequisite knowledge and skills
The course starts from the basics of mathematics, and it is possible to follow the course without any prerequisite knowledge. However, students who have taken less mathematics in their secondary education are less trained, will recognize fewer concepts, and should therefore expect to double their efforts to catch up.
Planned learning activities and teaching methods
Theory classes are taught ex cathedra.
The theory lectures are followed by exercise sessions (in parallel groups) in which students are asked to solve a number of problems under the supervision of the assistants. After the exercise class, a document containing (short) solutions will be made available.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Additional information:
Recommended or required readings
The slides, as well as a theory course, will be available on eCampus.
Exam(s) in session
Any session
- In-person
written exam
Additional information:
The evaluation of the cours takes places through a written examination.
This exam consists of multiple choice questions (50% of the total grade), for which the modalities will be explained during class, as well as open questions (50% of the total grade).
There will be open questions that require the resolution of exercises (30% of the total grade), as well as theoretical questions (20% of the total grade). For this, a list of theory questions that need to be studied will be provided beforehand.
Work placement(s)
Organisational remarks and main changes to the course
Contacts
Professor: Arnout Van Messem
Assistants: Safia Bennabi, Arman Molla, Lucas Michel