Linear Algebra

Teaching semester

Spring

Objectives and Content

On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

The student

• has understanding of matrix algebra rules
• can decide whether a linear system has one, none or infinitely many solutions
• understands concepts like linear dependence and independence of vectors
• has knowledge about vector spaces, and basis
• knows what a linear transformation is
• has knowledge about orthogonality and projections.

Skills

After course completion, the student is expected to be able to:

• solve linear systems
• find eigenvalues and eigenvectors
• compute the determinant of matrices
• formulate simple problems as least square problems and solve them

General competence:

As a general competence, the student is expected to actively use the different formulations and techniques learned in the course in order to find the best method suited for the solution of a problem. The course develops logic sense and logic thinking.

Learning Outcomes

The students get knowledge and skills of central techniques and ideas of linear algebra for use in other subjects and more advanced courses.

Recommended Previous Knowledge

MAT111, MAT105 or MAT101

Compulsory Assignments and Attendance

Excercises

Forms of Assessment

Written examination: 4 hours

Examination support materials: Non-programmable calculator, according to model listed in faculty regulations

Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.