Course syllabus

Matematisk statistik, allmän kurs
Mathematical Statistics, Basic Course

FMS035, 7,5 credits, G2 (First Cycle)

Valid for: 2012/13
Decided by: Education Board 1
Date of Decision: 2012-03-27

General Information

Main field: Technology.
Compulsory for: M3
Language of instruction: The course will be given in Swedish


The course is intended to give the student the basics in mathematical modelling of random variation and an understanding of the principles behind statistical analysis. It shall also give the students a toolbox containing the most commonly used models and methods, as well as the ability to use these in practical situations.

The course fills two purposes, providing a fundamental knowledge of mathematical statistics, as well as giving a foundation for further studies.

The fundamental knowledge is essential for those who, in their professional lives, will not necessarily be involved in statistical analyses on a daily basis, but who, on occasion, will be expected to perform basic statistical tests and present the results to their colleagues. They will also be expected to be able to read and assess the analyses of others.

The course shall also give a basis for further studies, both in probability theory and inference theory, as well as in the application areas, such as design of experiments, automatic control, process control, and logistics.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Judgement and approach
For a passing grade the student must


Expectation and variance. Normal distribution, binomial distribution, and other important distributions for measurements and frequencies. Data analysis. Statistical inference: Point estimates, interval estimates, and hypothesis testing. Methods for normally distributed observations. Approximative methods based on the normal distribution. Comparisons between expectations, variability, and distributions. Estimates of proportions. Regression analysis and calibration. Correlation between two explanatory variables. Examples are chosen with respect to mechanical engineering.

Examination details

Grading scale: TH
Assessment: Written exam, compulsory computer exercises, and a project report. The course grade is based on the exam grade.

Code: 0112. Name: Examination.
Credits: 6. Grading scale: TH. Assessment: Written exam.
Code: 0212. Name: Laboratory Work.
Credits: 1,5. Grading scale: UG. Assessment: Computer exercises.


Admission requirements:

Required prior knowledge: Calculus in one and several variables and Linear algebra.
The number of participants is limited to: No
The course overlaps following course/s: FMS012, FMS030, FMS032, FMS033, FMS086, FMS140, FMS601, FMSF01, MASB02, MASB03

Reading list

Contact and other information

Director of studies: Studierektor Anna Lindgren,
Course homepage:
Further information: The course may not be included together with FMS601 or FMSF01.