Duration
45h Th, 30h Pr
Number of credits
| Bachelor in mathematics | 7 crédits |
Lecturer
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
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.
Mathematical analysis is the branch of mathematics concerned with the concept of limit. In this course, we will expand upon the theory covered in the first part of the year (MATH0071) analysis course, focusing primarily on concepts related to differential equations and the 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.
The goal of this course is to introduce fundamental concepts and results related to mathematical analysis for single-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.
In addition to a foundation in elementary mathematics, completion of the analysis course offered during the first part of the year (MATH0071) is a prerequisite.
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.
The exercises, supervised by the teaching assistants, primarily focus on solving problems related to the theory taught during the course. They also serve as a valuable resource for obtaining additional information and illustrating concepts covered in the theoretical part of the course.
Mode of delivery (face to face, distance learning, hybrid 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.
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
There is a reference book. Partial course notes (in french) are also available. The slides will also be made available.
There is a reference book, and course slides will 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.
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions ) AND oral exam
Additional information:
The examination consists of two parts: a written section and an oral section, except for students attempting the aggregation (these students will not have an oral component). The written section is focused on solving problems and exercises, while the oral section covers theory, primarily proofs of theorems, but also includes practical applications of the theory. If a score (considered without decimal numbers) falls below 8/20 in one of the sections, the lowest score will count for two-thirds of the total score. Otherwise, both sections will contribute equally to the final score. The expected knowledge required for this examination will be officially announced during the year.
Work placement(s)
Organizational remarks
In case of restrictions related to a health crisis, the teaching can be adapted in order to respect the imposed constraints. For example the flipped classroom strategy could be adopted.
In case of restrictions related to a health crisis, the teaching can be adapted in order to respect the imposed constraints. For example the flipped classroom strategy could be adopted.
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
S. Nicolay
Institut de Mathématique (B37), Grande Traverse, 12, Sart-Tilman, 4000 Liège.
E-mail: S.Nicolay@uliege.be
Website: www.afaw.ulg.ac.be