Universities · training providers

I create scientific teaching content with your team.

Course materials, interactive or video animations, and web tools: I help you design, produce and align your resources.

Andréa Gourion University teaching · research · content creation · web development

Try an interaction01 / The Kinetic Kernel

Grab the u and v endpoints

Dot product of two vectors and projectionVectors u and v form a 55-degree angle. Their dot product is 6.88.uv55°
u · v = ‖u‖ ‖v‖ cos θ12 cos(55°) = 6.88

Acute angle · positive projection · positive dot product

Fig. 01 · The angle determines the sign of the dot product.The Kinetic Kernel · public chapter

A formula becomes an experience: move the vectors.

How I support your team

What do you need?

Explore services

Create or rework course materials

A new lesson to prepare, a chapter to revisit or an applied case to build.

Course notes, slides, figures, activities and mini-projects suited to your learners.

Explain with animations and interactive tools

A concept is easier to explore when learners can see it change, manipulate it or simulate it.

Interactive or video animations, scientific visualisations and custom web modules.

Make existing materials consistent

Your materials have been produced at different times or by several people.

Consistent notation and figures, a shared layout and editable document templates.

Selected work

Content to see and explore.

01 · Interactive product · Bilingual system · Live chapter

The Kinetic Kernel: Linear algebra made manipulable

Rotate the space and adjust the three coefficients. This bilingual excerpt comes from a product where linear-algebra objects can be read and manipulated in the same place.

Creator, learning-experience designer and developer

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Interactive excerpt

Linear combination · real 3D

Three weighted vectors are added tip to tail. Drag each vector along its fixed direction to change its coefficient, or rotate the scene background, to reach target b.

Vector: drag · background: rotate

x₁c₁ + x₂c₂ + x₃c₃ = (2.3; 0.9; 2.2)

Target b = (3; 1; 2)

02 · 13 signed decks · Multivariable geometry · 2024

Calculus II

I designed thirteen signed decks that turn curves, coordinate systems, differential elements and surfaces into a sequenced visual course.

Author and scientific figure designer

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Calculus II slide showing an orange helix on a translucent paraboloid.
Slide excerpt · original material in French

03 · Assignment design · MATLAB/Simulink · Interactive simulator

Systems and Simulation

I designed the second Systems and Simulation assignment around vertical rocket landing, combining PID loops, reduced and complete models, MATLAB/Simulink scaffolds and an interactive web simulator.

Assignment, simulation-scaffold and interactive-simulator designer

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Systems and SimulationVertical landing
×2.5
50 m25 m0 mMATLAB / Simulink
0.0 / 20.0 s

The recorded trajectory connects position, velocity, angle, forces and five landing criteria. Its final state satisfies all five displayed criteria.

All projects
Andréa Gourion

Your collaborator

A lecturer who designs, illustrates and develops.

A lecturer and doctoral researcher at Polytechnique Montréal, I work across applied mathematics, teaching and the web. I bring this experience to instructors, learning design teams and programme leaders, according to their needs.

My background and contributions

For a first project

Start with one part of a course.

An eight-week pilot gives us time to design and deliver a first resource with your team. A sample schedule, adapted to the content and your availability.

Explore the pilot project

Content to create or improve?

Tell me what your team is preparing and where you could use support.

Let’s discuss your project