Mathematics for Economic and management sciences (Part 1)

Duration

60h Th, 45h Pr

Number of credits

Lecturer

Isabelle Pays

Language(s) of instruction

French language

Organisation and examination

All year long, with partial in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

• Summation notation, Newton's binomial formula
• Elementary functions (polynomials, power functions, exponential functions, logarithmic functions).
• One variable calculus (limits, continuity, dérivatives).
• Financial maths: simple and compounded interest, present value, motgages, internal rate of return.
• Multivariable calculus (essentially 2 variables) (Introduction: graphs, level curves, partial dérivatives, linear approximations).
• Matrix algebra, determinants, systems of linear equations.
• Linear programming, an introduction.

Learning outcomes of the learning unit

Learning outcomes :
"Use adequately the mathematics, the statistics or the IT tools in the context of the management or the economics", with this course the student will

• acquire the mathematical tools needed in the models used in economics as well as the basics to be able to undertake statistics courses, essential for futur managers or economists.
• be aware of the need to think, to reason rigorously, argue, interpret (from a practical point of view) results and communicate its approach and conclusions in the context and the appropriate language.
• be able to structure and to organize knowledge so that it can integrate them later in his studies and later in his career.

Prerequisite knowledge and skills

Elementary algebra : fraction, power, operations priority, proper use of parenthesis; First and second degree functions and their graphs.

Planned learning activities and teaching methods

Methods
Selected exercises are to prepare outside of class and before the exercise sessions. The exercises will be announced a few days to prepare in advance. 
Personal work, outside of class sessions and exercises is expected of the student throughout the year. Regular work is essential to achieve the objectives.

In addition to the ongoing large group classes, exercise sessions are held in small groups. Formative evaluations ("blank exams") are organized.

Mode of delivery (face to face, distance learning, hybrid learning)

• Face-to-face lectures.
• and practice sessions (small groups of students).
• Possibility to attend "questions-and-answers" sessions several times a week
• Web-site for training :
• http://lola.hec.uliege.be
• http://www.udi.hec.ulg.ac.be/cours/rattrapage_math/

Organisational adjustments related to the current health context

In red code: Distance course. Podcasts available; possibility of live lessons. All the info on https://lola.hec.uliege.be/course/view.php?id=123 
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January exam period:
The exam will take place in person.
In the event of an unfavorable development of the health crisis and in the event of an obligation in this context of a remote examination, it will be organized if the technical and educational conditions are met. In this configuration, there will be a compulsory registration prior to the exam via LOl @. If the technical and pedagogical conditions cannot be met, the exam will not be organized in January and the course will be the subject of a subsequent evaluation, in accordance with what the "paysage" decree provides for annual courses.
The information will be available on the course site (LOl @: https://lola.hec.uliege.be/course/view.php?id=123)

Recommended or required readings

"Mathématique pour l'économie" by Knut Sydsæter, Peter Hammond, Arne Strøm, Andrés Carvajal (5e édition, PEARSON.)  Available at "centrales de cours" (N1)
The forth edition remains suitable.
Several documents will be available on the course website : New lol@: http://lola.hec.ulg.ac.be/course/view.php?id=123 (Identification needed to access MATH0055-2)

Assessment methods and criteria

Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.

Any session :

- In-person

written exam ( multiple-choice questionnaire, open-ended questions )

- Remote

written exam ( multiple-choice questionnaire, open-ended questions )

- If evaluation in "hybrid"

preferred in-person


Additional information:

Additional information:
Except if forbidden fot sanitary reasons, written examinations.
At each written examination, a part of multiple choice questions and a part of questions with answers to be developed. The proportion of multiple choice questions may be higher in the second session (August / September).
1st session:
- A partial in January concerning the material seen in the first semester (theory and exercises)
- A partial in May/June on the subject of the second semester (theory and exercises) and, for those who wish and who previously registered in terms explained during the course, possibility to present the material of the first semester.
The overall grade of the first session will be equal to the average of the partial marks (subject of the first semester and subject of the second semester).
In the case of a second session (resit), a partial exemption will be granted for the part (subject of the first semester or subject of the second quadrimester) which may be passed (note not rounded, by at least 10/20, theory and exercises combined. For example, a score of 9.8 / 20 for a part is considered a failure). In case of non-successful completion of the course in second session, no partial exemption will be granted for the following academic year.

The final note is rounded to the closest integer.
It is strictly forbidden to carry a mobile phone or other electronic device, even swiched off. Failure to comply with this rule will cancel the exam, that is to say it will lead to a score of 0. Similarly, such a device cannot be swiched on in the exam room. A student may be asked to show his mobile during the exam, to prove that it's really swiched off. Be careful: swiched off is NOT the same as "silent-mode".
It is noted that the presence is mandatory for 1st block of of 1st cycle exams in January under penalty of not being admitted to other sessions. 
The current regulation specifies that: Failure to present himself at the exam leads to a rating of "absence" -- During the sanitary crisis, the information is available on the course site (LOl @: https://lola.hec.uliege.be/course/view.php?id=123). Students are required to consult them.

Work placement(s)

Organizational remarks

The course is taught in French.
Mobile phones, tablets and other computers are not useful during the course and impair concentration. These devices must be switched off, alarm deactivated, during the courses, except if it's asked by the professor to use it for pedagogical purposes.

Contacts

Instructor : I. Pays, HEC-Ecole de Gestion de l'Ulg, Rue Louvrex, 14, Liège. (Bât. N1, Local 327), Tél. : 04 232 7302 - E-mail: Isabelle.Pays@uliege.be
Assistants:

• S. Maron, Bât. N1, Local 306. Tél. : 04 232 73 01 - E-mail : Sabine.Maron@uliege.be
• E. Flas, Bât. N1, Local 306. Tél. : 04 232 73 15  - E-mail : eddy.flas@uliege.be
• E. Rotheudt, Bât. N1, Local 306 - E-mail : Eric.Rotheudt@uliege.be

Items online