Duration
Part 1 : 25h Th, 20h Pr
Part 2 : 20h Th, 10h Pr
Number of credits
| Bachelor in mathematics | 7 crédits |
Lecturer
Part 1 : Samuel Nicolay
Part 2 : Samuel Nicolay
Coordinator
Language(s) of instruction
French language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
Part 1
Mathematical analysis is the branch of mathematics concerned with the notion of limit. We will present in this course additional theory concerning the analysis course given during the first part of the year (MATH0071-1) before considering the d-dimensional Euclidian space.
Learning outcomes of the learning unit
Part 1
The aim of this course is to introduce the basic notions and results concerning the mathematical analysis in the d-dimensional Euclidian space.
Prerequisite knowledge and skills
Part 1
Together with a knowledge in Elementary mathematics, the analysis course given during the first part of the year (MATH0071-1) is required.
Planned learning activities and teaching methods
Part 1
The exercices, directed by the assistants, are mainly dedicated to the resolution of exercises related to the theory taught during the course. They are also useful to obtain supplementary informations and to illustrate concepts tackled during the theoretical course.
Mode of delivery (face-to-face ; distance-learning)
Part 1
The timetable will be available at the beginning of the second part of the year. Concerning the exercises, a detailed schedule as well as informations about how the students will be split into groups will be also distributed.
Recommended or required readings
Part 1
Course notes (in french), following the main taught subjects, are available at the beginning of the year.
Assessment methods and criteria
Part 1
The examination consists of two parts: a written one and an oral one, except for the students attempting the agregation (these will not have any oral part). The written part is devoted to the resolution of problems and exercises. The oral part is devoted to the theory (mainly proofs of theorems) but also includes direct applications of the theory. If a result (considered without decimal numbers) is lower than 8/20 in one of the parts, the lowest result will contribute for two third of the total result. Otherwise, both parts will contribute equally to the final result. The expected knowledge needed for this examination will be officially announced during the year.
Work placement(s)
Organizational remarks
Contacts
Part 1
S. Nicolay
Institut de Mathématique (B37), Grande Traverse, 12, Sart-Tilman, 4000 Liège.
E-mail : S.Nicolay@ulg.ac.be