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Høst 2019
SMN6190 Linear Algebra II  5 stp
The course is administrated by
Type of course
Course contents
 Particular and general vector spaces
 Basis and subspaces
 Inner product spaces
 The GramSchmidt process
 Leastsquares problems
 Extension of the theory of eigenvalues and eigenvectors
 Diagonalization with generalizations
 Singular value decompositions
 Linear transformations with matrix representation
Application deadline
Admission requirements
A relevant undergraduate bachelor Engineering programme with minimum 30 credits mathematics/statistics topics.
Application code: 9371
Recommended passed mathematics courses in the bachelor engineering education or corresponding mathematics courses.
Objective of the course
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.
Language of instruction
Teaching methods
The course is taught intensively during two nonconsecutive weeks, in which a combination of lectures followed by task solving sessions and flipped classroom arrangements are used.
All lectures are streamed and recorded. Videos provided in flipped classroom arrangements are made available to all students attending the course.
Assessment
Coursework / Course requirements: Two voluntary assignments, not to be submitted. One mandatory assignment about learning in linear algebra.
Examination and assessment: A final exam which is a 4 hours written exam. Scale of grades: AF in which F means fail. A resit exam will be arranged for this course.
Date for examination
The date for the exam can be changed. The final date will be announced at your faculty early in May and early in November.
Lectures Autumn 2019 

Forelesning 
prof. Ragnhild Johanne Rensaa 