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| MATH0071-1 | Analysis I, part 1
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| Duration : | 45h Th, 30h Pr |
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| Number of credits : |
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| Lecturer : | Samuel Nicolay |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| Teaching in the first semester, review in January |
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Course contents :
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| Mathematical analysis is the branch of mathematics concerned with the notion of limit.
We will present in this course the concept of limit of a sequence in the Euclidean space. We will then consider the functions and their properties (continuity, derivation,...). We will also introduce some elementary functions (exponential function, trigonometric functions,...). |
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Learning outcomes of the course :
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| The aim of this course is to introduce the basic notions and results concerning the mathematical analysis in the 1-dimensional Euclidian space. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| Only knowledge in Elementary mathematics is required. Of course, abilities to mathematical reasoning are an asset. |
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Planned learning activities and teaching methods :
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| 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. |
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Mode of delivery (face-to-face ; distance-learning) :
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| 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. |
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Recommended or required readings :
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| Course notes (in french), following the main taught subjects, are available at the beginning of the year. |
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Assessment methods and criteria :
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| 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. The expected knowledge needed for this examination will be officially announced during the year. |
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| S. Nicolay
Institut de Mathématique (B37), Grande Traverse, 12, Sart-Tilman, 4000 Liège.
E-mail : S.Nicolay@ulg.ac.be |
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