About this course

Linear algebra is a branch of mathematics that focuses on linear equations, linear transformations, vector spaces, and matrices. Its far-reaching impact extends across disciplines like physics, engineering, computer science, and economics, with practical applications spanning computer graphics, machine learning, signal processing, economic models, and beyond.

This course will cover fundamental concepts of linear algebra from a mathematical perspective, including systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality, least squares, and symmetric matrices. It has a hands-on format where a major focus is placed on mathematical application of concepts and problem solving.

Syllabus

Fall 2026

This is the most recent syllabus for this course

Go to syllabus

Prerequisites

Calculus I and Calculus II, or approval from the Department.

Faculty

Frida Svelander

Lic. Eng. in Advanced Engineering Mathematics, Chalmers University of Technology (2016). Lecturer at KTH Royal Institute of Technology (2019–2021) and Stockholm School of Economics (2025–present). Held research and software development positions for radiotherapy treatment planning at Elekta Instruments (2021–2022 and 2023–2024). Software developer at Fraunhofer-Chalmers Centre for Industrial Mathematics (2012–2017). With DIS since 2025. 

Looking for some advice?
We’ll support you every step of the way.