Fiches de cours 2017-2018

PDF
 

Differential geometry of framed curves

MATH-423

Enseignant(s) :

Maddocks John

Langue:

English

Remarque

Summary

The Differential Geometry of curves, tubes & ribbons

Content

This course will describe the classic differential geometry of curves, tubes and ribbons, and associated coordinate systems. We will prove various classic mathematical theorems such as the Weyl-Hotelling formula for tube volumes, and the relation between Link, Twist and Writhe, which couples differential geometry and topological invariance for closed and knotted framed curves. While we will not consider applications explicitly in this course, much of the mathematical material that will be described is central in various problems of mechanics, including nanostructures and topological fluid mechanics.

Learning Prerequisites

Required courses

1st & 2nd year courses in math or physics, (or with teacher's permission)

Recommended courses

Ordinary Differential Equations, BA Math (MATH-301)

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

Ex cathedra lecture and exercises in the classroom

Assessment methods

Written exam

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Resources

Bibliography

Will be given at the beginning of the course

Dans les plans d'études

  • Mathématiques - master, 2017-2018, Master semestre 2
    • Semestre
      Printemps
    • Forme de l'examen
      Ecrit
    • Crédits
      5
    • Matière examinée
      Differential geometry of framed curves
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      2 Heure(s) hebdo x 14 semaines
  • Mathématiques pour l'enseignement, 2017-2018, Master semestre 2
    • Semestre
      Printemps
    • Forme de l'examen
      Ecrit
    • Crédits
      5
    • Matière examinée
      Differential geometry of framed curves
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      2 Heure(s) hebdo x 14 semaines
  • Mathématiques pour l'enseignement, 2017-2018, Master semestre 4
    • Semestre
      Printemps
    • Forme de l'examen
      Ecrit
    • Crédits
      5
    • Matière examinée
      Differential geometry of framed curves
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      2 Heure(s) hebdo x 14 semaines

Semaine de référence

LuMaMeJeVe
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
En construction
Cours
Exercice, TP
Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand