Mathematics and engineering sciences
Tools for describing a phenomenon, writing a model and interpreting physical quantities.
- Applied mathematics
- Mechanics and physics
- Electromagnetism
- Signal processing
- Telecommunications and networks
Higher education
From fundamental science to software applications
Higher education, engineering sciences and software design: teaching the fundamentals, developing competence, and connecting theory with practice.
Higher-education institutions · Programme leaders · Students · Technical teams
Fields
Three areas of work
Nicolas Van Wambeke works where mathematics, engineering sciences and software design meet. The aim is a line of reasoning that can be used again, beyond a single formula or an isolated example.
Software design and development
Methods for designing programs that are structured, readable and able to evolve.
- Object-oriented programming
- Software design
- Application architecture
- Development and software quality
- Modelling and solving computing problems
Teaching and support
Formats for institutions, teaching teams and higher-education students.
- Lectures and exercise classes
- Practical sessions
- Design of teaching materials
- Support for higher-education students
- Training and skill development
Audiences
Services for several audiences
The same concern for clarity takes a different form for an institution, a teaching team, a higher-education student or an organisation.
Higher-education institutions
Engineering schools, universities, specialist institutions and training organisations. The work may strengthen a teaching team, take on a course, run lectures, exercise classes or practical sessions, or cover a specialist subject.
Programme leaders and teachers
Designing or updating a module, structuring a progression, and developing exercises and case studies. An intervention can also bring computing applications into a science course and connect theory, modelling and practice.
Higher-education students
Going further in a scientific or computing subject, clarifying a difficult idea, preparing for exams, solving problems and strengthening fundamentals. The support is specialised and complements a degree programme.
Organisations and technical teams
Going deeper into scientific or computing concepts, training in software design, making sense of engineering methods, and developing the technical skills of a team.
Teaching
An approach built on understanding
Sound teaching makes the assumptions, the mechanisms and the limits of a model visible. A formula or a solution method can then summarise what has been understood, and be used in another setting.
01
Understand the fundamentals
Return to definitions, quantities and assumptions. A mathematical expression or a diagram is useful when one knows what it describes and where it remains valid.
02
Formalise and model problems
Move from a situation described in ordinary language to a model: notation, diagrams, relations and limits. That is the link between a real question and the mathematical or computing tools.
03
Apply concepts to concrete situations
Exercises, case studies, signals, simulations or small developments. Application shows how a theoretical result becomes a calculation, a measurement or a program.
04
Develop autonomy and reasoning
State the problem, choose a tool, check a result and explain the approach. The learner can then take up a neighbouring subject without relying on a single recipe.
Coherence
Expertise that runs across disciplines
The fields answer one another. Together they cover a continuous path: describe a phenomenon, formalise it, treat it as information, carry it through a communication system, then implement it in software.
- 01
Mathematics as the language of modelling
Functions, equations and structures describe a physical phenomenon and also support reasoning about an algorithm. They provide a shared vocabulary for the other fields.
- 02
Physics and electromagnetism
They give a frame for the phenomena behind many technical systems, when a quantity propagates, interacts or is measured.
- 03
Signal processing
It connects those descriptions to information: observe a quantity over time, represent it in frequency, sample it, filter it, then interpret the result.
- 04
Telecommunications and networks
They extend the chain to communication systems: transmit a message, take disturbances into account, and move it according to models and protocols.
- 05
Object-oriented programming
It carries these models into software that is structured and maintainable, rather than a sequence of isolated instructions. Design then becomes part of understanding the problem.
Discuss a teaching or training project
A course, practical sessions, teaching materials, team training or individual support can be shaped from the audience, the subject, the level and the setting.