School of Science and Technology

Course Syllabus

General aims for first cycle education

First-cycle courses and study programmes shall develop:
- the ability of students to make independent and critical assessments
- the ability of students to identify, formulate and solve problems autonomously, and
- the preparedness of students to deal with changes in working life.

In addition to knowledge and skills in their field of study, students shall develop the ability to:
- gather and interpret information at a scholarly level
- stay abreast of the development of knowledge, and
- communicate their knowledge to others, including those who lack specialist knowledge in the field.

(Higher Education Act, Chapter 1, Section 8)

Knowledge and comprehension
After the course the student should
-understand the most important numerical methods for linear systems of equations, linear least squares problems, and linear eigenvalue problems.

Proficiency and ability
At the end of the course the student should be able to
-define and use the terms condition and stability for linear problems,
-define and use the singular value decomposition, and
-use and analyse the most important direct and iterative methods for linear problems.

Gaussian elimination with extensions. Condition, perturbation analysis, stability and backward stability for linear systems, least squares and eigenvalue problems. Gram-Schmidt. QR-faktorization. Singular value decomposition. The power method and QR-method. Classical interative methods for linear systems of equations. Conjugated gradient methods with convergence analysis. Different softwares for sparse systems. Applications from biology, mechanics and medicin.

Teaching will be in the form of lectures and supervised computer sessions.
The teaching methods may be altered, should only a few students take the course.

Students who have been admitted to and registered on a course have the right to receive tuition and/or supervision for the duration of the time period specified for the particular course to which they were accepted (see, the university's admission regulations (in Swedish)). After that, the right to receive tuition and/or supervision expires.

For further information, see the university's local examination regulations (in Swedish).

According to the Higher Education Ordinance, Chapter 6, Section 18, a grade is to be awarded on the completion of a course, unless otherwise prescribed by the university. The university may prescribe which grading system shall apply. The grade is to be determined by a teacher specifically appointed by the university (an examiner).

According to regulations on grading systems for first- and second-cycle education (vice-chancellor's decision 2010-10-19, reg. no. CF 12-540/2010), one of the following grades is to be used: fail, pass, or pass with distinction. The vice-chancellor or a person appointed by the vice-chancellor may decide on exceptions from this provision for a specific course, if there are special reasons.

Grades used on course are Fail (U), Pass (G) or Pass with Distinction (VG).

The course grading is translated to the ECTS grading scale.

For further information, see the university's local examination regulations (in Swedish).

Optimization, 7,5 Credits.

For further information, see the university's admission regulations (in Swedish).

Students who have previously completed higher education or other activities are, in accordance with the Higher Education Ordinance, entitled to have these credited towards the current programme, providing that the previous studies or activities meet certain criteria.

For further information, see the university's local credit transfer regulations (in Swedish).

Required Reading

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