Fiches de cours 2017-2018

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Geometry

MATH-121

Enseignant(s) :

Lodha Yash

Langue:

English

Summary

This is a standard introductory course in the geometry of curves and surfaces.

Content

Curves ' Vector functions ' Tangent vectors ' Bézier curves ' Lengths ' Curvature ' Vector fields and moving frames ' Curves in R^2 ' Isometries of R^n ' Settings of a surface ' Tangent vectors of a surface ' The metric tensor ' Curvature ' The second fundamental form

Learning Prerequisites

Important concepts to start the course

Vectors in R^n , scalar products, cartesian coordinates, differentiation, integration of real functions.

Learning Outcomes

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

Assessment methods

Written exam.

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Bibliography

The book of M. Troyanov (in French) : "Cours de géométrie", PPUR 2009.

Differential Geometry of Curves and Surfaces by Manfredo P do Carmo.

Dans les plans d'études

  • Génie mécanique, 2017-2018, Bachelor semestre 2
    • Semestre
      Printemps
    • Forme de l'examen
      Ecrit
    • Coefficient
      3
    • Matière examinée
      Geometry
    • Cours
      2 Heure(s) hebdo x 14 semaines
    • Exercices
      1 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