If you are a non-EU citizen who wants to study in Sweden for more than 90 days, you require a residence permit.
Applications for residence permits for Sweden are processed by the Swedish Migration Agency in Sweden. If you are a non-EU citizen who wants to apply for a residence permit to study in Sweden, your application can be submitted online through the Swedish Migration Agency’s website.
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Studying in Sweden - Migrationsverket
Frequently asked questions about studying in Sweden - Migrationsverket