Coursebooks 2017-2018

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Geometry

MATH-121

Lecturer(s) :

Lodha Yash

Language:

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.

 

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14  CO2  
14-15    
15-16  CM011
CM1104
CM1105
CM1120
  
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German