A Mathematical Introduction to Machine Learning 7.5 credits

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.

Show syllabus

Apply

Autumn 2026
- A Mathematical Introduction to Machine Learning
  
  Second admissions round for EU/EEA citizens
  
  HT26 / Umeå / English / On site
  
  Application opens 16 March 2026
  
  Save education at universityadmissions.se
  
  Show more Show less
  
  Starts
  2 November 2026
  
  Ends
  17 January 2027
  
  Number of credits
  7.5 credits
  
  Type of studies
  On site
  
  Study pace
  50%
  
  Teaching hours
  Daytime
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-5800B
  
  Eligibility
  
  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.
  
  Selection
  
  Guaranteed place
  
  Application
  The online application opens 16 March 2026 at 09:00 CET. Application deadline is 15 April 2026. Please note: This second application round is intended only for EU/EEA/Swiss citizens.
  
  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 19,038
  
  Total fee: SEK 19,038
  
  Details about tuition, fees and funding

Apply online via universityadmissions.se
You apply to our programmes and courses via universityadmissions.se – the official website for higher education applications in Sweden. There, you can track your application, check that your documents have been registered, and log in to find our your admission results.
 
Late applications
Admissions to most programmes and courses typically close after the final application deadline. However, some programmes and courses may still accept late applications if seats are available. These are marked “Open for late application” on universityadmissions.se. Please note that late applications are not guaranteed to be reviewed.

More about application and admission

Explore your future at Umeå University

Join a vibrant academic community where high-quality education meets groundbreaking research in science, technology, humanities, and the arts. At Umeå University, you will learn from passionate, expert teachers and benefit from a close connection between research, education, collaboration, and innovation.

World's most satisfied international students

#1 globally in the main categories of Living, Support, and Overall Satisfaction.
A university with health at its core

Umeå University is certified as a Healthy Campus, with many initiatives that promote health and well-being.