2019-2020 / MATH0071-2

Analysis I, part 1

Part I

Part 3

Duration

Part I : 35h Th, 20h Pr
Part 3 : 10h Th, 10h Pr

Number of credits

 Bachelor in physics7 crédits 

Lecturer

Part I : Samuel Nicolay
Part 3 : Samuel Nicolay

Coordinator

Samuel Nicolay

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

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 concept of limit of a sequence in the complex plane. We will then consider the functions and their properties (continuity, derivation,...).

Part I

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 complex plane. We will then consider the functions and their properties (continuity, derivation,...).

Part 3

This course generalizes the notions introduced in the course MATH0071-A-a.

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.

Part I

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

Part 3

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

Prerequisite knowledge and skills

Only knowledge in Elementary mathematics is required. Of course, abilities to mathematical reasoning are an asset.

Part I

Only knowledge in Elementary mathematics is required. Of course, abilities to mathematical reasoning are an asset.

Part 3

The notions presented in the course MATH0071-A-a will be completed. It is thus necessary to master these notions as the course goes along.

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.

Part I

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.

Part 3

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.

Part I

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.

Part 3

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.

Part I

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

Part 3

Partial course notes (in french) are also available. The slides will also be made available.

Assessment methods and criteria

Concerning the students in the Physic Bachelor Degree: the exam will consist in a written exam, devoted to tboth the theory and the resolution of problems and exercises.

Part I

See the course MATH0071 corresponding to the degree.

Part 3

See the course MATH0071 corresponding to the degree.

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

Part I

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

Part 3

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

Part I

See the course MATH0071 corresponding to the degree.

Part 3

See the course MATH0071 corresponding to the degree.

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.

Part I

See the course MATH0071 corresponding to the degree.

Part 3

See the course MATH0071 corresponding to the degree.

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.

Part I

See the course MATH0071 corresponding to the degree.

Part 3

See the course MATH0071 corresponding to the degree.

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