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MS0073

Basic Mathematical Statistics

Som ingenjör kan du komma i kontakt med slumpmässiga fenomen, t.ex. osäkerhet hos mätdata. I denna kurs får du en introduktion till hur matematiska modeller kan användas för att dra slutsatser kring insamlade data. I ett litet projekt får du analysera data inom energiområdet.
Matematisk statistik kallas ibland ”slumpens matematik” och kunskaper inom området är viktigt för en ingenjör. I sannolikhetsläran får du en överblick över de vanligaste matematiska beskrivningarna för slumpmässiga förlopp, medan du i statistisk inferens möter några vanliga statistiska metoder för analys av insamlade data, t.ex. t-test och regressionsanalys.
Vid praktiskt arbete med data är det viktigt att kunna välja en lämplig metod för ett givet problem, och att kunna utvärdera resultatet från en metod och dra rimliga slutsatser. I kursen arbetar du i datorövningar med frågeställningar kring data och tillämpar mot slutet dina kunskaper i ett eget litet projekt, baserat på problemställningar inom energisystem.

MS0073 Basic Mathematical Statistics, 5.0 Credits

Grundläggande matematisk statistik

Syllabus approved

2021-12-06

Subjects

Mathematical Statistics

Education cycle

Bachelor’s level

Advanced study in the main field

First cycle, less than 60 credits from first-cycle courses as entry requirements(G1F)

Grading scale

5:Pass with Distinction, 4:Pass with Credit, 3:Pass, U:Fail The requirements for attaining different grades are described in the course assessment criteria which are contained in a supplement to the course syllabus. Current information on assessment criteria shall be made available at the start of the course.

Language

Swedish

Prior knowledge

The equivalent of 15 credits in mathematics.

Objectives

The aim of the course is to give an introduction to probability theory and statistical concepts and to provide applied examples. After the course the student should be able to
• apply basic probability concepts and statistical principles
• formulate a given problem in statistical terms
• describe the most common statistical methods including the conditions under which they can be applied
• choose a suitable statistical method for a given problem
• carry out a statistical analysis from the chosen method
• interpret and evaluate results correctly and draw reasonable conclusions
• use statistical software for descriptive statistics and simple modeling
• carry out a small statistical group project

Content

The course is built on lectures, lessons, computer exercises and a small statistical project where data material is examined and regression analysis is carried out. Exercises are related to the field of energy, among others.
The main moments are as follows: Descriptive statistics: Measures of mean and variation, different diagrams. Probability theory: Sample space, probability laws, random variables, probability distributions. Inference: Point estimation, confidence intervals, hypothesis testing, non-parametric methods. Regression and correlation. Practical statistical computing.

Formats and requirements for examination

Passed written and oral exercise. Passed written examination.
  • If the student fails a test, the examiner may give the student a supplementary assignment, provided this is possible and there is reason to do so.
  • If the student has been granted special educational support because of a disability, the examiner has the right to offer the student an adapted test, or provide an alternative assessment.
  • If changes are made to this course syllabus, or if the course is closed, SLU shall decide on transitional rules for examination of students admitted under this syllabus but who have not yet passed the course.
  • For the examination of a degree project (independent project), the examiner may also allow the student to add supplemental information after the deadline. For more information on this, please refer to the regulations for education at Bachelor's and Master's level.

Other information

  • The right to take part in teaching and/or supervision only applies to the course date to which the student has been admitted and registered on.
  • If there are special reasons, the student may take part in course components that require compulsory attendance at a later date. For more information on this, please refer to the regulations for education at Bachelor's and Master's level.

Responsible department

Department of Energy and Technology

Further information

Determined by: Programnämnden för utbildning inom naturresurser och jordbruk (PN - NJ)
Replaces: MS0065
There are no Grading criteria posted for this course

Course facts

The course is offered as an independent course: Yes The course is offered as a programme course: Master Programme in Energy Systems Engineering Tuition fee: Tuition fee only for non-EU/EEA/Switzerland citizens: 12684 SEK Cycle: Bachelor’s level
Subject: Mathematical Statistics
Course code: MS0073 Application code: SLU-10218 Location: Uppsala Distance course: No Language: Swedish Responsible department: Department of Energy and Technology Pace: 33%