Course syllabus for Probability and statistics

The course syllabus contains changes
See changes

Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).

Overview

  • Swedish nameSannolikhetsteori och statistik
  • CodeTMS137
  • Credits7.5 Credits
  • OwnerTKIEK
  • 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 51140
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0117 Examination 7.5 c
Grading: TH
7.5 c0 c0 c0 c0 c0 c
  • 28 Okt 2024 pm L
  • 08 Jan 2025 pm J
  • 26 Aug 2025 pm J

In programmes

Examiner

Go to coursepage (Opens in new tab)

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

In order to follow the course the participants need skills corresponding to what is learnt from the courses in Analysis of One Variable and Linear Algebra in the I-program.

Aim

The participants will learn the basic important statistical concepts and obtain a foundation for further development of practical and theoretical skills in stochastics. They will get considerable training in using their skills to solve practical problems.

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

  • use mathematical formulations of randomness and uncertainty
  • solve problems with conditional probabilities
  • perform calculations with discrete and continuous random variables
  • apply the central limit theorem and related approximations
  • implement point and interval estimates
  • apply basic statistical tests

Content

probability models, combinatorics, independence and conditional probability, discrete and continuous random variables, functions of random variables, approximations of probability distributions, Poisson, point estimates, confidence intervals, regression analysis, hypothesis testing

Organisation

Lectures and exercise sessions. There may be mid-term tests with bonus points for the exam.

Literature

To be announced

Examination including compulsory elements

Written exam.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.

The course syllabus contains changes

  • Changes to course rounds:
    • 2024-05-14: Examinator Examinator changed from Stefan Lemurell (sj) to Moritz Schauer (smoritz) by Viceprefekt/adm
      [Course round 1]