Course syllabus for Mathematical statistics and discrete mathematics

The course syllabus contains changes
See changes

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

Overview

  • Swedish nameMatematisk statistik och diskret matematik
  • CodeMVE051
  • Credits7.5 Credits
  • OwnerTKITE
  • 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 52142
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0113 Written and oral assignments 1.5 c
Grading: UG		 1.5 c
0213 Examination 6 c
Grading: TH		 6 c
  • 01 Jun 2022 pm J
  • 03 Jan 2022 pm J
  • 24 Aug 2022 pm J

In programmes

Examiner

  • Timo Vilkas
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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

Basic knowledge of discrete mathematics, linear algebra and calculus.

Aim

The aim of the course is to give - understanding of basic knowledge in probability theory, statistics, and combinatorics which is important for technical studies and specifically for studies in information technology - skills for understanding and using mathematical language - ability to communicate mathematics

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

- identify problems arising in technical studies and specifically in information technology for which the treatment requires use of fundamental concepts and methods from Probablity theory and Mathematical statistics. - describe and analyze such problems in terms of statistics and discrete mathematics. - apply basic statistical mehods such as parameter and interval estimation, testing of statistical hypotheses, and linear regression, in problem solving.

Content

The course covers topics in a number of areas. Within each area relevant mathematical concepts are studied. These concepts are considered on different levels of depth. The topics discussed are: - Probability theory and Markov chains: random variables, expectation, variance, correlation, conditional probability, the law of large numbers, the central limit theorem. - Statistics: point estimation, confidence intervals, hypotheses testing. - Combinatorics: combinations, permutations, generating functions. In Probability theory, the emphasis is on discrete models.

Organisation

The teaching is built up around certain themes. The mathematical concepts involved are first outlined and then studied more deeply within the framework of the following course activities: - Lectures which elucidate and explain the mathematical theory - Exercise sessions where related problems are solved individually or in groups.

Literature

To be announced.

Examination including compulsory elements

Written examination. Compulsory turn in assignments.

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 examination:
    • 2022-03-18: Examination datetime Examination datetime changed from 2022-06-04 Morning to 2022-06-01 Afternoon by Timo
      [2022-06-04 6,0 hec, 0213]
  • Changes to course rounds:
    • 2022-03-03: Examinator Examinator changed from Stefan Lemurell (sj) to Timo Vilkas (hirscher) by Viceprefekt
      [Course round 1]