The general objective of the course is to help students master the basic concepts and techniques of linear algebra that they will need in other courses focusing on programming and data science. The course is introductory and intended for students with a variety of backgrounds. It balances theory and applications and in its didactic approach, it combines a traditional form of presentation with student-centered learning. The material is presented algebraically, geometrically, numerically, as well as verbally (with the aid of visuals), thus supporting various kinds of learning styles.
The course covers various topics with a limited number of theorems and is light on proofs; however, it offers a comprehensive introduction into the subject and its applications.
- Understand vector concepts such as dot product, norm, describing lines and planes, and orthogonality.
- Have basic knowledge of the systems of linear equations and their solutions.
- Have knowledge of the basic facts about matrices, matrix operations and their properties.
- Explore the notion of an eigenvector and the essentials of determinants.
The material covered in the course will include the following topics:
- Linear equations and systems
- Linear transformations
- Eigenvalues and Eigenvectors
Poole, D., Linear Algebra: A modern introduction (3rd or 4th edition), Cengage Learning, 2014, ISBN 9781285982830.
In order to pass the course, students need to pass both a midterm exam (50%) and a final exam (50%). Given that the two components cover different course material, both should be a pass and there is no compensation possible. Next to that, students will work on a total of 10 assignments. The assignments do not count for the final grade however they serve as a pre-requisite for taking the final test. Submission of 8 out of 10 assignments is mandatory to qualify for the final test. After each submission is closed, students are provided with an answer key to check their answers for self-evaluation.
“Due to limited capacity, this course is currently not open for external students.”