Syllabus for Mathematical Topics in Data Science

Matematisk fördjupning i dataanalys


  • 7.5 credits
  • Course code: 1MS046
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Mathematics A1F, Data Science A1F
  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2022-03-03
  • Established by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2022
  • Entry requirements:

    120 credit points. Participation in Theoretical Foundations for Data Science. Proficiency in English equivalent to the Swedish upper secondary course English 6.

  • Responsible department: Department of Mathematics

Learning outcomes

On completion of the course, the student should be able to:

  • have acquired a profound insight into some delimited area of mathematics for data science,
  • have been introduced to some area of current mathematical research and be able to independently acquire information about literature and problems in the area,
  • orientate themselves independently with regard to literature and issues in the field,
  • be able to prepare and hold a seminar presentation in some area of modern mathematics for data science.


The content of the course differs from time to time.


  • Network and queuing theory
  • Asymptotic statistics
  • Learning theory, decision theory and game theory
  • Approximation theory
  • Survival analysis with medical applications
  • Brownian motion
  • Solving partial differential equations or inverse problems using machine learning.
  • Optimization theory
  • Analysis of algorithms
  • Mathematical logic for artificial intelligence


Lectures and seminar sessions.


Written assignments with oral follow-up examination (7,5 hp).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Reading list

Reading list

Applies from: Autumn 2022

Some titles may be available electronically through the University library.

  • Föreläsningsanteckningar. Vetenskapliga artiklar och fritt tillgängliga böcker som meddelas vid kursens start.

    Matematiska institutionen,

Last modified: 2022-04-26