Course content

Topics included are: Basic logic and method of proofs, systems of linear equations, Gaussian elimination, vectors in 2-space and 3-space (scalar and cross products), R^n, matrices, determinants (Cramer's rule, determinants as area and volume), rank and dimension of space of solutions, linear transformations and their geometric properties in R^2, associated matrices for R^2 and R^3, some theory on eigenvalues for matrices, diagonal matrices, conic sections, numerial aspects (Gauss-Seidel),
complex numbers.

Learning outcome

The aim of the course is to introduce basic concepts of linear algebra, and also to expose the students to proofstructures.

Learning methods and activities

Lectures, compulsory exercises and mid-semester examination.
Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination 80% and the semester assignment 20%. The mid-semester examination only counts if it has a positive effect on the total assessment. The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system.

Compulsory assignments

• Exercises

Recommended previous knowledge

The course is based on Mathematics R2 or 3MX from grammar school or equivalent.

Course materials

Will be announced at the start of the course.

Credit reductions