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A Mathematical Introduction to Machine Learning

  • Number of credits 7.5 credits
  • Level Bachelor's level
  • Starting Autumn Term 2024

About the course

The course addresses the fundamental mathematical and statistical methods and models used within the field of machine learning. Its purpose is to provide a mathematical foundation for advanced level courses in machine learning and artificial intelligence, as well as to introduce machine learning applications within academia and industry. The course is comprised of two modules.

Module 1 (4,5 hp): Theory and problem solving
This module addresses fundamental statistical models, statistical learning and maximum likelihood estimation, with an emphasis on supervised learning. Several commonly used models are introduced, and their mathematical properties are discussed, for instance linear regression and classification models, neural networks, support vector machines, as well as models for unsupervised learning. Furthermore, evaluation and validation of models are addressed.

Module 2 (3 hp): Computer assignments
This module addresses the implementation of commonly occuring machine learning models, as well as investigating their properties.

Application and eligibility

A Mathematical Introduction to Machine Learning, 7.5 credits

Visa tillfällen för föregående termin Autumn Term 2024 Det finns inga senare terminer för kursen


1 November 2024


19 January 2025

Study location



English (upon request)

Type of studies

Daytime, 50%

Required Knowledge

The course requires courses in Mathematics, minimum 60 ECTS or at least two years of university studies and both cases require courses in linear algebra, multivariate calculus, mathematical statistics and computer programming, or equivalent. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies.


Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Please note: This application round is intended only for applicants within the EU/EEA and Switzerland. Online application service is in Swedish. Notification of admission will be sent in end of May. Contact the department for more information. Application deadline is 15 April 2024. How to apply

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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Contactperson for the course is:
Study counselor Lars-Daniel Öhman