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
These lecture begin with the review of elementary concepts of mathematics that are part of the curriculum of the secondary school.
Then we proceed with some generalizations, and study functions of several variables, integrals on non-compact intervals, differential equations, ...
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, ...
- Trigonometric numbers, specific angles, right triangles, arbitrary triangles
- Complex numbers
- Dot product, projections, cross product
- Reference functions (including logarithms, exponentials), important constructions
- Limits, continuity, derivatives and their applications, primitives and integral calculus (including on non-compact intervals)
- Basics of functions of several variables
- Some differential equations
Learning outcomes of the learning unit
At the end of this course, students will have acquired a detailed 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 without any prerequisite. 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 available as well.
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.
Assessment methods and criteria
Exam(s) in session
Any session
- In-person
written exam
Additional information:
Evaluation of the cours takes places through a written examination.
This exam will consist of multiple choice questions, for which the modalities will be explained during class, as well as open questions.
The questions will mainly focus on solving exercises, although also theoretical questions (at most 20% of the questions) can be asked. For this, a list of theory questions that need to be studied will be provided.
Work placement(s)
Organizational remarks
Contacts
Professor: Arnout Van Messem
Assistants: will be announced during the first class