Analysis I, part 2

Duration

Part 1 : 25h Th, 20h Pr
Part 2 : 20h Th, 10h Pr

Number of credits

Lecturer

Part 1 : Samuel Nicolay
Part 2 : Samuel Nicolay

Coordinator

Samuel Nicolay

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Mathematical analysis is the branch of mathematics concerned with the notion of limit. We will present in this course the notions of differential equation and Darboux integral.

Learning outcomes of the learning unit

The aim of this course is to introduce the basic notions and results concerning the mathematical analysis for one variable functions.

Prerequisite knowledge and skills

ogether with a knowledge in Elementary mathematics, the analysis course given during the first part of the year (MATH0071) is required.

Planned learning activities and teaching methods

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)

The timetable will be available at the beginning of the academic 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

There is a reference book. Partial course notes (in french) are also available. The slides will also be made available.

Assessment methods and criteria

Concerning the students in the Mathematic Bachelor Degree. The examination consists of two parts: a written one and an oral one. 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

S. Nicolay Institut de Mathématique (B37), Grande Traverse, 12, Sart-Tilman, 4000 Liège.
E-mail : S.Nicolay@uliege.be
Site web : www.afaw.ulg.ac.be
 

Adaptation of teaching commitments following the COVID-19 pandemic for the May-June 2020 session

Teaching methods implemented : distance-learning

Podcats are provided.

Assessment subjects

The course matter is the one covered by the podcasts. For the ecercises, one has to master the kind of exercises proposed in the exercises lists.

Assessment methods

If the exams cannnot take place as initially planned, remote written examinations will be instored. The student will have to answer theoretical questions and solve exercises within a limited period of time. He will have to electronically send his answers using for example pictures of his written answers or using a word processor.

Contacts

Adaptation of teaching commitments following the COVID-19 pandemic for the Aug-Sept 2020 session

Assessment subjects

The assessment subjects are the same as in june.

Assessment methods

The method will be similar to the one used in the june session.

Contacts