2017-2018 / MATH1472-1

Probability and Statistics I

Part 1 : Descriptive Statistics

Introduction to probability

Duration

Part 1 : Descriptive Statistics : 16h Th, 8h Pr, 8h Mon. WS
Introduction to probability : 9h Th, 7h Pr, 2h Mon. WS

Number of credits

 Bachelor in mathematics5 crédits 

Lecturer

Part 1 : Descriptive Statistics : Gentiane Haesbroeck
Introduction to probability : Gentiane Haesbroeck

Coordinator

Gentiane Haesbroeck

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Look at the contents of the two parts.

Part 1 : Descriptive Statistics

Basic concepts of descriptive statistics are taught in this course. More precisely, here follows the content of the course:
- Statistical tables and graphics
- Summary statistics (central tendency, dispersion and shape)
- Correlation analysis and linear regression
The learning of a statistical software is also included in the material of the course.

Introduction to probability

This partim 2 is dedicated to a complement of descriptive statistics (M-estimation, geometric, harmonic and generalized means, Lorenz curve and Gini index) and to an introduction to probability theory.

Learning outcomes of the learning unit

Look at the learning outcomes of the two partims.

Part 1 : Descriptive Statistics

After this course, the student should be able to present data appropriately, compute appropriate parameters in order to analyse data and interpret the results.

Introduction to probability

After this part, the student should be able to formalize the estimation process for the centre of a distribution, to adpat the definition of the mean to the context and to model the distribution of the wages of a population in order to compute a measure of inequality.
 
Additionaly, the student should be able to use correctly probability calculus.

Prerequisite knowledge and skills

look at the prerequisites for each part.

Part 1 : Descriptive Statistics

basic concepts of analysis and algebra taught in secondary school.

Introduction to probability

A good knowledge of set theory and of the classical formulae of combinatorial analysis is necessary (these specific matters are taught in the course entitlde 'elementary mathematics', Bloc 1, first semester)

Planned learning activities and teaching methods

Look at the information given for each part.
 
 

Part 1 : Descriptive Statistics

The course is divided into three parts:
- Theory
- Exercises
- Learning of a statistical software
  The type of teaching for the theory part is ex-cathedra. The professor uses beamer projections or writes on the black boards. When slides are used, these will be available in advance on eCampus.
The tutorials combine ex-cathedra presentation and individual work for the students. It is recommended to check the good knowledge of the content of the course via the on-line QCMs.
The statistical software will be taught differently in the two groups:
In Bachelor of mathematics:
Two practicals organised in the computer room of the mathematics department will be organised in order for the students to get the bacis of the statistical software.
In Bachelier of computer sciences:
The statistical software will be taught by means of an auto-learning process using documents on-line on eCampus.

Introduction to probability

The learning activites are similar to those presentedin the first part, except that there is no statistical software activities in this second part.
 

 

Mode of delivery (face-to-face ; distance-learning)

look at the information indicated in the partims.

Part 1 : Descriptive Statistics

The courses and the tutorials are given face-to-face over the second semester according to a timetable distributed to the students in the beginning of the academic year.
The theory lectures are recorded by means of the podcast equipment installed in the lecture room. The students may visualize these recordings when they want.

Introduction to probability

The delivery mode is again face-to-face. If required by the students, the recording of the lectures by means of the podcast equipment might be continued in this second part.

Recommended or required readings

Look at the informations given in the partims.

Part 1 : Descriptive Statistics

Notes written in French (on the theory and on the exercises) will be sold to the students at the start of the academic year. These notes will also be available on line (via eCampus)

Introduction to probability

Notes written in French (on the theory and on the exercises related to the contents of the second part) will be sold to the students and also put on line.

Assessment methods and criteria

The final mark is based on the marks attributed to the two following assessments (all taking place in May-June):
- written exam (theory and exercises) jointly on the contents from the two partims
- practical exam on descriptive statistics in the computer room
The computation of the final grade will be specified during the first lecture. The computation will be different whether the two separate marks are bigger or equal to 5/20 or not. In case at least one of the two marks is below 5/20, the global mark will not exceed 9/20.
In case of absence at one part of the exam, the students will be given a mark of 0/20 for that part.

Part 1 : Descriptive Statistics

Bachelor in mathematics: look at the information given for the global course.

Bachelor in computer sciences: the final mark is a weighted mean based on the marks attributed to the two following assessments :
- written exam on theory, exercises and interpretation of software outputs
- practical exam in the computer room
The details of the computation of the final grade will be specified at the end of the course. In case of a partial mark below 5/20, the global mark will not exceed 9/20.

Introduction to probability

look at the general information.
 
 

Work placement(s)

Organizational remarks

None

Part 1 : Descriptive Statistics

None

Introduction to probability

None

Contacts

G.HAESBROECK, Institute of mathematics, Building B37, room 0/60, tel: 04/366-95-94, email: G.Haesbroeck@ulg.ac.be M. ERNST, Institute of mathematics, Building B37, email: m.ernst@ulg.ac.be

Part 1 : Descriptive Statistics

The details are given above.

Introduction to probability

The details are given above.