Linear Algebra and Geometry I
Syllabus, Bachelor's level, 1MA025
- Code
- 1MA025
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G1F
- Grading system
- Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
- Finalised by
- The Faculty Board of Science and Technology, 24 April 2008
- Responsible department
- Department of Mathematics
Entry requirements
Basic Course in Mathematics
Learning outcomes
In order to pass the course (grade 3) the student should
Content
Linear systems of equations: Gaussian elimination, rank, solvability. Matrices: matrix algebra and matrix inverse. Determinants. Vector algebra, linear dependence and independence, bases, coordinates, scalar product and vector product, equations for lines and planes, distance, area and volume. Description of rotations, reflections and orthogonal projections in R2 and R3. The linear space Rn and m×n matrices as linear transformations from Rn to Rm. The standard scalar product on Rn and the Cauchy-Schwarz inequality.
Instruction
Lectures and problem solving sessions.
Assessment
Written examination at the end of the course. Moreover, compulsory assignments may be given during the course.
Reading list
- Reading list valid from Autumn 2022
- Reading list valid from Spring 2022
- Reading list valid from Autumn 2021
- Reading list valid from Spring 2020
- Reading list valid from Autumn 2019
- Reading list valid from Spring 2013
- Reading list valid from Autumn 2012, version 2
- Reading list valid from Autumn 2012, version 1
- Reading list valid from Spring 2012
- Reading list valid from Autumn 2007