Course syllabus for Probability, statistics and risk analysis

Course syllabus adopted 2020-02-10 by Head of Programme (or corresponding).

Overview

  • Swedish nameSannolikhet, statistik och risk
  • CodeMVE395
  • Credits4.5 Credits
  • OwnerTKKEF
  • Education cycleFirst-cycle
  • Main field of studyMathematics
  • DepartmentMATHEMATICAL SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 54117
  • Maximum participants50
  • Open for exchange studentsNo

Credit distribution

0113 Examination 4.5 c
Grading: TH		 4.5 c
  • 02 Jun 2021 am J
  • 09 Okt 2020 am J
  • 17 Aug 2021 pm J

In programmes

Examiner

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Eligibility

General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Recommended prerequisites are mathematical analysis and Matlab.

Aim

To get basic skills in probability theory and statistics and the ability to solve simple practical problems and safety analyses.

Learning outcomes (after completion of the course the student should be able to)

After the course, the student should be well acquainted with basic basic probability theory and a good practice of the statistical mind-set, statistical modeling and basic statistical methods.  A detailed reading display will be posted on the course homepage.

Content

Sample space, probabilities, conditional probabilities. Different probability distributions and its common applications. Means to operate on random variables, expected value, variance. Central limit theorem, law of large numbers, failure rate. Inference, maximum likelihood methods, confidence intervals, and some significance tests. Linear regression. The Poisson process.

Organisation

Lectures and exercises.

Literature

P. Olofsson and M. Andersson, Probability, Statistics and Stochastic Processes, 2nd edition, Wiley 2011.

Examination including compulsory elements

Written exam.