Lecture

Complex Numbers: Introduction and Operations

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In course

PHYS-101(a): General physics : mechanics

Le but du cours de physique générale est de donner à l'étudiant les notions de base nécessaires à la compréhension des phénomènes physiques. L'objectif est atteint lorsque l'étudiant est capable de prévoir quantitativement les conséquences de ces phénomène ...

Description

This lecture introduces complex numbers, which were first introduced in the 16th century to express roots of equations with negative square roots. The lecture covers the notation of complex numbers, addition, multiplication, conjugates, Euler's formula, and trigonometric relationships. The instructor explains the concept of complex numbers in the context of general physics and mechanics, focusing on their applications in engineering. The lecture also includes a review of mathematical concepts such as derivatives. Through examples and illustrations, students learn how to manipulate complex numbers and apply them in various mathematical and physical contexts.

Instructor

Jean-Philippe Hogge

Teaching & PhD PhD Students Constant Philippe Panisset, Pierrick Paul Louis Giroud-Garampon Past EPFL PhD Students Sudheer Kumar Jawla, Guillaume Michel Le Bars Past EPFL PhD Students as codirector Falk Braunmüller Courses Fusion and industrial plasma technologies PHYS-632 The course provides an overview of the technologies that are essential for fusion developments and for industrial plasmaapplications, highlighting the synergies between the two fields. The aim is to provide a combined th

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