Course

MATH-123(b): Geometry

Summary

The course provides an introduction to the study of curves and surfaces in Euclidean spaces. We will learn how we can apply ideas from differential and integral calculus and linear algebra in order to "measure shapes".

Lectures

Instructor

Aline Zanardini

Teaching & PhD Courses Advanced linear algebra I MATH-110(b) The purpose of this course is to introduce the basic notions of linear algebra and to prove the main results of the subject. Algebra V - Galois theory MATH-317 Galois theory lies at the interface of Field Theory and Group Theory. It aims to describe the algebraic symmetries of fields. We will focus on Galois theory for finite field extensions and some applications. Algebraic geometry I - Curves MATH-328

Official source

https://edu.epfl.ch/coursebook/en/geometry-MATH-123-B

Moodle Page

http://go.epfl.ch/MATH-123_b

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Summary

Lectures

Instructor

Aline Zanardini

Official source

https://edu.epfl.ch/coursebook/en/geometry-MATH-123-B

Moodle Page

http://go.epfl.ch/MATH-123_b

About this result

Lectures in this course (35)

Vector Geometry: Basic Notions

Covers basic notions of vector geometry, including scalar product, norm, and projection.

Vectorial Geometry: Affine Subspaces

Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.

Isometries: Definition and Examples

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Isometries in R^n

Explores the standard form of isometries in R^n and the preservation of distances.

Isometries in R^2 and R^3

Explores isometries in R^2 and R^3, focusing on symmetries, rotations, and linear compositions, with a glimpse into the Banach-Tarski paradox.

Related courses (30)

MATH-213: Differential geometry I - curves and surfaces

This course serves as an introduction to classical differential geometry, which studies the geometric properties of curves and surfaces in the Euclidean space. ...

ME-411: Mechanics of slender structures

Analysis of the mechanical response and deformation of slender structural elements. ...

MATH-410: Riemann surfaces

This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...

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 ...

PHYS-100: Advanced physics I (mechanics)

La Physique Générale I (avancée) couvre la mécanique du point et du solide indéformable. Apprendre la mécanique, c'est apprendre à mettre sous forme mathématique un phénomène physique, en modélisant la situation et appliquant les lois de la physique. ...