ECTS
4 credits
Component
Faculty of Science
List of courses
Your choice: 1 of 4
Calculus for PCSI
4 credits36hThe Earth and its resources
4 creditsElectronics 1
4 creditsMathematical tools 2
4 credits
Calculus for PCSI
Study level
BAC +1
ECTS
4 credits
Component
Faculty of Science
Hourly volume
36h
This course is intended for L1 students who have chosen the PCSI path. It introduces you to the basic rules of calculus, which should enable you to follow the more formal courses more easily, to do the tutorials, to read and understand the books in the BU, and so on. It complements UE Outils Mathématiques 1 and 2. This course is essentially based on calculus training through exercises. Course reminders are generally succinct, and the emphasis is on the acquisition of certain automatisms designed to master, accelerate and fluidify the mathematical manipulations most commonly used in science (at L1 level). Chapters covered include: elementary calculations and manipulations, trigonometry (especially geometry), complex numbers, vectors and coordinate systems, elementary geometry, polynomial rudiments, rudiments of statistics and probability.
The Earth and its resources
Study level
BAC +1
ECTS
4 credits
Component
Faculty of Science
This course is designed to make first-year students aware of the issues surrounding the use, exploitation and management of the Earth's natural resources.
By way of introduction, an overview will be given of the different types of resource (energy, mineral, water) and the major economic and environmental issues involved.
Different types of resources will then be presented in three stages:
- The notion of mineral resources will be explored in greater depth by presenting the itinerary of chemical elements, from their creation in the Universe to their storage in the minerals that make up rocks, and their use in the technologies employed in everyday life. This aspect will introduce basic notions of solid state chemistry and mineralogy, illustrated by mineralogy tutorials and practical exercises.
- The problems and functioning of geological reservoirs trapping natural resources will be addressed, focusing on conventional energy resources (hydrocarbons) and resources of the future (underground storage of resources, geothermal energy).
- Finally, the major challenges facing water resources worldwide will be explored in greater depth. The global water cycle on Earth will be presented, and the essential concepts needed to understand today's major issues will be identified (definitions of an aquifer and a hydrosystem and the main types encountered, chemical interactions between water and rocks and illustration of processes centered on the chemistry of mineral and thermal waters).
Hourly volumes:
CM:18
TD :12
TP:6
Mathematical tools 2
ECTS
4 credits
Component
Faculty of Science
This course is an introduction to the differential calculus of functions in several variables. It is intended for first-year PCSI students and provides an introduction to the mathematical tools used - among other things - in thermodynamics.