MATH-123(b) / 3 crédits

Enseignant: Zanardini Aline

Langue: Anglais

## 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".

## Required courses

Analysis I, Linear Algebra

## Important concepts to start the course

Fundamental notions from differential and integral calculus and linear algebra.

## Learning Outcomes

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

• Link concepts from calculus to geometric properties of curves and surfaces
• Describe relevant examples of curves and surfaces
• Visualize geometric transformations in the plane and in three-dimensional space
• Carry out a range of computations which may be applicable to engineers
• Demonstrate effective use of fundamental notions involving curves and surfaces

## Teaching methods

Lectures and exercise classes.

Written exam.

## Supervision

 Office hours No Assistants Yes Forum No

## Bibliography

The following are good books which are also available through the EPFL library:

• (English translation) Differential Geometry of Curves and Surfaces by S. Kobayashi.
• (English translation) Differential geometry of curves and surfaces by M.P. do Carmo.
• (In French) Cours de géométrie by M. Troyanov.
• (Chapter 3) Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers by H. Nguyen-Schäfer and J-P Schmidt.
• (Chapters 19 and 20) Geometric Methods and Applications: For Computer Science and Engineering by J. Gallier.

## Notes/Handbook

There will be (handwritten) lecture notes.

## Dans les plans d'études

• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Geometry
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 1 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 9-10 10-11 11-12 12-13 13-14 14-15 INJ218 15-16 MAB111 16-17 17-18 18-19 19-20 20-21 21-22

Mardi, 14h - 15h: Exercice, TP INJ218

Jeudi, 15h - 17h: Cours MAB111

## Cours connexes

Résultats de graphsearch.epfl.ch.