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| MATH0067-1 | Introduction to statistics and probability
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| Duration : | 15h Th, 15h Pr |
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| Number of credits : |
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| Lecturer : | Vincent Denoël |
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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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| The course covers superficially four aspects of statistics and probabilities:
- data collection (survey, inventory, experiment)
- descriptive statistics (1-D and 2-D, including linear regression)
- elementary probability distributions
- inductive statistics (sampling distributions and hypotheses testing) |
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Learning outcomes of the course :
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| Data Collection
- understand the difference between survey and experimentation, as well as their specificities
- use properly the vocabulary
- set up formally an inventory, a survey, an experiment
Descriptives Statiststics
- know the different indicators of position and distribution
- understand the notions of correlation and stochastic independence
- choose adequately the tools for a graphical representation and apply the concepts with Matlab
- summarize data to a set of indicators
- use (least-squares) linear regression and nonlinear regression
Probability
- classification of probability distributions
- importance of the normal distribution and the central limit theorem
- probabilistic modeling with random variables
- algebraic operations and other transformations of random variables
Inferential Statistics
- understand consequences of the choice of a sampling strategy
- formalize and test hypotheses |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| - Calculus |
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Planned learning activities and teaching methods :
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| The course target the different job opportunities that an architect-engineer may face:
- Design office (descriptive statistics, data interpretation,...)
- Administration (statistics, survey, inventories,...)
- Research or PhD thesis (experimentation, hypothesis testing,...)
The lectures are a mix between ex cathedra theory and exercises.
The work load is mainly to be supplied in class, but some homeworks are suggested. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Lectures take place on Tuesday morning, 8:30 till 12:30. Attendance is compulsory |
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Recommended or required readings :
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| Pierre Dagnelie, Statistique théorique et appliquée, de Boeck, 2nd édition, 1998. |
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Assessment methods and criteria :
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| A 2-hour long written examination concerns theoretical aspects as well as pratical ones (two problems to be solved). |
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| Vincent Denoël
04/366.29.30
v.denoel@ulg.ac.be |
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| Items online : |
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| Lecture slides |
| click here to download (open access) |
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