Course syllabus for Statistics with applications

Course syllabus adopted 2022-02-15 by Head of Programme (or corresponding).

Overview

  • Swedish nameTillämpad matematisk statistik
  • CodeLMA521
  • Credits7.5 Credits
  • OwnerTIEPL
  • 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 68127
  • Open for exchange studentsNo

Credit distribution

0103 Examination 7.5 c
Grading: TH		 7.5 c
  • 14 Jan 2025 am L
  • 16 Apr 2025 am L
  • 28 Aug 2025 pm L

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

Courses in Calculus and Linear Algebra

Aim

The course intends to give the students knowledge in basic probability theory and statistical inference. This knowledge is essential for the understanding of the statistical methods and tests used in technical and natural sciences.

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

Knowledge and understanding:

- explain how different situations are influenced by chance
- use different random variables in the right settings
- explain how everyday phenomena can be modelled using random variables

Skills and abilities: 

- apply acceptance sampling procedures
- decide if a production process produces articles that will meet the customer s demand.
- apply control charts; to construct them and draw conclusions about the examined process, 
- calculate risks,
- use approximation in complicated situations

Judgement and approach: 

- draw conclusions from surveys,
- understand errors in surveys using confidence intervals
- plan experiments using factorial and fractional factorial designs, 

Content

Descriptive statistics, elementary probability, dependent and independent events, discrete and continuous distributions, expectation, variance, the central limit theorem (without proof), interval estimation. Experimental designs, factorial designs, fractional factorial designs, blocking, randomisation. Statistical quality control, control charts, acceptance sampling procedures.

Organisation

The course consists of 35 lectures in which exercises are included and one obligatory laboratory work.

Literature

See the course web page

Examination including compulsory elements

To pass the course the student must pass both an exam and one laboratory work. The maximum point on the thesis is always 50. To pass the thesis one needs to get at least 20p. To get class 3 the student needs at least 20 p, for class 4 30 p and for class 5 40p.

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.