Linear Algebra II

The course can be taken as a single course. Theoretical.

• Particular and general vector spaces
• Basis and subspaces
• Inner product spaces
• The Gram-Schmidt process
• Least-squares problems
• Extension of the theory of eigenvalues and eigenvectors
• Diagonalization with generalizations
• Singular value decompositions
• Linear transformations with matrix representation

An undergraduate Bachelor Engineering program with minimum 25 credits mathematics, 5 credits statistics, 7,5 credits physics

Application code: 9371

Recommended passed mathematics courses in the bachelor engineering education or corresponding mathematics courses.

Knowledge (K):

After completing the linear algebra course the candidate:

• Has advanced knowledge of concepts within linear algebra.
• Has thorough knowledge of central theories and methodologies within the listed concepts in linear algebra and know how to apply these in mathematical problems.
• Can analyse formulated linear algebra problems and identify methods to solve these.

Skills (S):

After completing the linear algebra course the candidate:

• Can recognize and identify linear problems and formulate them in terms of linear systems.
• Can analyse and deal critically with theories in linear algebra and use these to structure and formulate scholarly arguments.
• Can utilise existing interpretations and relevant methods within the field to accomplish a task.
• Can use relevant methods within the field.

General competence (GC):

After completing the linear algebra course the candidate:

• Can analyse relevant linear problems.
• Can apply the knowledge and skills within linear algebra to carry out assignments.
• Can communicate about different aspects in linear algebra, particularly explaining in mathematical terms how to deal with mathematical tasks.
• Can use the knowledge for concepts, theories and methods in linear algebra in other engineering areas.

Recommended prerequisites

IGR1518 Mathematics 1 (3-semester), IGR1600 Mathematics 1, IGR1603 Physics/Chemistry, IGR1613 Mathematics 3 / Physics 2, TEK-1507 Mathematics 1, TEK-1510 Mathematics 1 (3-semester), TEK-1516 Mathematics 2 for engineers, TEK-2800 Mathematics 3 for Engineers, TEK-2801 Physics 2

If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:

• SMN6190 Linear Algebra II 5 ects

The course is taught intensively during two non-consecutive weeks. A combination of lectures followed by problem-solving sessions and flipped classroom arrangements will be used.

A video and task scheme is offered for students who cannot attend lectures. Support is provided during task-solving sessions.

During the flipped classroom arrangement, students have access to shorter videos made by the teacher and work with tasks related to the videos, preferably working with their peers in groups. Support is provided by the teacher during these sessions, both to discuss content of the videos and to support task-solving processes.

Language of instruction and examination

This course is open to incoming exchange students.

Study level: Master’s

Admission prerequisites:
This course has admission prerequisites, which are listed under the Admission requirements section. Please review this information carefully before adding the course to your Learning Agreement.

For details on how to apply for exchange, course selection guidelines, or to contact the Incoming Admissions Team, please visit: Admissions for Student Exchange.

More info about the coursework requirements

One mandatory assignment about learning in linear algebra is to be submitted. This mandatory work requirement will not be re-attempted.

Two voluntary assignments, one for each teaching week, are not to be submitted.

Re-sit examination