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Graduate courses

Departments' graduate courses for PhD-students.

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Course syllabus for

Academic year
LMA521 - Statistics with applications  
Tillämpad matematisk statistik
 
Course syllabus adopted 2022-02-15 by Head of Programme (or corresponding)
Owner: TIEPL
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Main field of study: Mathematics
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: Swedish
Application code: 68116
Open for exchange students: No
Status, available places (updated regularly): Yes

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0103 Examination 7,5 c Grading: TH   7,5 c   10 Jan 2023 am L,  05 Apr 2023 am L,  24 Aug 2023 pm L

In programs

TIEPL INDUSTRIAL MANAGEMENT AND PRODUCTION ENGINEERING, Year 2 (compulsory)
TIDAL COMPUTER ENGINEERING - Common branch of study, Year 3 (compulsory elective)
TIDSL PRODUCT DESIGN ENGINEERING, Year 3 (elective)

Examiner:

Ottmar Cronie

  Go to Course Homepage


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.


Page manager Published: Thu 04 Feb 2021.