Linear Algebra, Summer 2026 
Location: The Royal College of Music
Syllabus: click here
A faculty-led UNC study abroad program on the theory of linear structures. Specifically, we will work to understand linear equations, Euclidean space, matrices and linear transformations, eigenvalues and eigenvectors, and vector spaces.
The standard course material will be supplemented with lectures from Swedish mathematicians and mathematics-related excursions to the Mittag-Leffler Institute (a premier mathematics research institute) and the Nobel Museum. (Although there is famously no Nobel prize in mathematics, several mathematicians have won the prize, including John Nash and Bertrand Russell.)
Outside the classroom, students will immerse themselves in Swedish culture in lively Stockholm, a city with a rich connection to mathematics through its association with the premier mathematics journal Acta Mathematica.
Planned activities and excursions (to be scheduled/finalized):
- Lecture on Swedish language and culture
- Tour of Gamla Stan
- Visit to the Royal Palace
- Visit to the Nobel Museum
- Visit to Institute Mittag-Leffler
- Visit to Uppsala University
- Dinner with Swedish family
- Archipelago tour
Academic schedule:
| Date | Topic/Activity | ||
| Week 1 | Tuesday 7/14 | Linear equations | |
| Wednesday 7/15 | Euclidean space | ||
| Thursday 7/16 | Matrices | ||
| Friday 7/17 | Invertibility | ||
| Week 2 | Monday 7/20 | Determinants | |
| Tuesday 7/21 | Subspaces | ||
| Wednesday 7/22 | More on subspaces | ||
| Thursday 7/23 | Change of basis | ||
| Friday 7/24 | Eigenvalues and eigenvectors | ||
| Week 3 | Monday 7/27 | Complex numbers | |
| Tuesday 7/28 | Orthogonality | ||
| Wednesday 7/29 | More on orthogonality | ||
| Thursday 7/30 | Matrix decompositions | ||
| Friday 7/31 | Vector spaces and differential equations | ||
| Week 4 | Monday 8/3 | Wrap up and review | |
| Tuesday 8/4 | Final exam |