University of Liege | Version française
Study programmes 2011-2012Last update : 14/06/2012
MATH0203-2  Geometry I
- part a) Introduction to the study of geometry
- Partim b) Elementary geometry

Duration :  part a) Introduction to the study of geometry : 20h Th
Partim b) Elementary geometry : 50h Th, 50h Pr
Number of credits :  
Bachelor in mathematical sciences, 1st yearToute l'année11
Lecturer :  part a) Introduction to the study of geometry : Pierre Lecomte
Partim b) Elementary geometry : Pierre Lecomte
Language(s) of instruction :  
French language
Course contents :  
During these lectures, trough an initiation to vector geometry, the student is progressively informed of some of the main aspect of the mathematical activity: statement, proof, mathematical writing, abstraction, etc.<br /><br /> Elementary introduction to affine and Euclidian geometry.
Elementary study of curves in 2- and 3- dimensional Euclidian spaces.

part a) Introduction to the study of geometry

During these lectures, trough an initiation to vector geometry, the student is progressively informed of some of the main aspect of the mathematical activity: statement, proof, mathematical writing, abstraction, etc.

Partim b) Elementary geometry

Elementary introduction to affine and Euclidian geometry.
Elementary study of curves in 2- and 3- dimensional Euclidian spaces.

Learning outcomes of the course :  
To give a unified survey of the euclidian geometry; to introduce the students to the deductive structure of the mathematical theories.

To reach that goal, it is necessary that the student studies regularly. In particular, it should study and summarize each lecture immediately after having attended it.

Partim b) Elementary geometry

To give a unified survey of the euclidian geometry; to introduce the students to the deductive structure of the mathematical theories.

To reach that goal, it is necessary that the student studies regularly. In particular, it should study and summarize each lecture immediately after having attended it.
Prerequisites and co-requisites/ Recommended optional programme components :  
A good skill in French language is essential.
One should be able to formulate clearly ideas , both in writing and in speaking, using grammatically correct sentences.

One should be able to read statments and to extract the main ideas of any text.

A good skill in reasoning and abstraction is also needed.

Partim b) Elementary geometry

A good skill in French language is essential.
One should be able to formulate clearly ideas , both in writing and in speaking, using grammatically correct sentences.

One should be able to read statments and to extract the main ideas of any text.

A good skill in reasoning and abstraction is also needed.
Mode of delivery (face-to-face ; distance-learning) :  
For more information, please go to the datas relative to partim b)<br /><br /> Lectures and exercices sessions are organized from the first quadrimester untill the half of the second. Details will be given at the beginning of the academic year.

part a) Introduction to the study of geometry

For more information, please go to the datas relative to partim b)

Partim b) Elementary geometry

Lectures and exercices sessions are organized from the first quadrimester untill the half of the second. Details will be given at the beginning of the academic year.

Recommended or required readings :  
Lecture notes and a book of exercices can be bought at Centrale des Cours de l'A.E.E.S.

Lecture notes:

Géométrie élémentaire (P. Lecomte)

Exercices:

Géométrie élémentaire - Exercices (P. Lecomte et M. Rigo)

Partim b) Elementary geometry

Lecture notes and a book of exercices can be bought at Centrale des Cours de l'A.E.E.S.

Lecture notes:

Géométrie élémentaire (P. Lecomte)

Exercices:

Géométrie élémentaire - Exercices (P. Lecomte et M. Rigo)
Assessment methods and criteria :  
A partial examination is organized at the end of the first quadrimester.
Usually, it is asked to answer two theoretical questions and to solve two exercices.

Partim b) Elementary geometry

A partial examination is organized at the end of the first quadrimester.
Usually, it is asked to answer two theoretical questions and to solve two exercices.
Contacts :  
http://www.ulg.ac.be/geothalg
plecomte@ulg.ac.be

Partim b) Elementary geometry

http://www.ulg.ac.be/geothalg
plecomte@ulg.ac.be

Items online :  

Partim b) Elementary geometry

http://www.geothalg.ulg.ac.be/cours1C/index.html
see above


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