ECAM Engineering Program
Combined Bachelor's / Master's Degree
General Data
Academic program ECAM Engineering Program :
Type d'EC Classes
Tutorials : 81h00
Personal work 15h00
Total duration : : 81
Status :
Period :
Semester 1
Education language :
English
General objectives
This course aims at "refreshing" the basics in mathematics and physics (studied in high school) to ensure that students would be able to start the physics course in mechanics with a common and strong background.
Electricity basics are as well introduced to prepare advanced lectures.
Content
Some short theoretical reminders are provided, but this module is mainly composed of exercises to give the students some automatisms in mathematics for physics.
- Vectors: Definition, representation, calculus: dot product, cross product, mixed product.
- Angles, 2D and 3D vectors, direct bases
- Systems of coordinates (cartesian, polar, cylindrical, spherical) and change of reference systems.

Fundamentals of Electricity:
- Basic Electrical circuits and Components : Introduction, International System of Units, common prefixes. Electrical circuits.
- Signals (DC, AC).
- Resistors, capacitors and inductors.
- Ohm's law, Kirchhoff's laws, power. Associations (series, parallel), Voltage and current dividers. Sinusoidal quantities.
- Voltage and current sources, characterisation. Thevenin's and Norton's theorems.
- Measurement of Voltages and Currents : Sine wave. Square wave. Measuring voltages and currents. Analogue vs. Digital multimeters. Oscilloscopes.
Pre-requisites
This course aims at "refreshing" i.e. it assumes that students have previous knowledge and skills in:
- Vectors definition, representation on graphics, vectors calculus: dot product, cross product
- Trigonometry: polar angles, sinus, cosinus, and tangent formulas and representation
- Basics of geometry: Pythagorus theorem

For Electricity, basics on current and voltage concepts, with high school mathematics.
Assessment(s)
Nature Coefficient Observable objectives
1Written exam1Duration of 90' The final assessment at the end of the module évaluâtes the students' ability to apply the acquired knowledge to solve some mathematical and physical problems mixing the different concepts studied.
2Partials (DS) Continuous Assessment