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

  • Mechanical Engineering, 2017-2018, Bachelor semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Coefficient
      3
    • Subject examined
      Geometry
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks

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