Linear Algebra
7.5 ECTS creditsThe course comprises the following main components:
- Systems of linear equations
- Matrix algebra, determinants
- Eigenvalues and eigenvectors, diagonalization
- Vector spaces, subspaces, coordinate systems, dimension, change of bases
- Linear transformations between vector spaces and matrix representation of linear transformations
- Inner product, orthogonality, Gram-Schmidt's orthogonalization, least square method, inner product spaces
- Spectral theorem for symmetric matrices, quadratic forms.
- Systems of linear equations
- Matrix algebra, determinants
- Eigenvalues and eigenvectors, diagonalization
- Vector spaces, subspaces, coordinate systems, dimension, change of bases
- Linear transformations between vector spaces and matrix representation of linear transformations
- Inner product, orthogonality, Gram-Schmidt's orthogonalization, least square method, inner product spaces
- Spectral theorem for symmetric matrices, quadratic forms.
Progressive specialisation:
G1F (has less than 60 credits in first鈥恈ycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements
Foundation course in Mathematics, 7.5 ECTS cr, and Calculus and Geometry, 7.5 ECTS cr, or equivalent.
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
This course is included in the following programme
- Bachelor Programme in Physics (studied during year 1)
- Master of Science in Computer Engineering (studied during year 2)
- Master of Science in Energy and Environmental Engineering (studied during year 1)
- Master of Science in Industrial Engineering and Management (studied during year 1)
- Master of Science in Chemical Engineering (studied during year 1)
- Master of Science in Mechanical Engineering (studied during year 1)
- Master of Science in Engineering Physics (studied during year 1)
- Study Programme in Mechanical Engineering (studied during year 3)
More information
- Start Spring 2025
- Mode of study Campus
- Language Swedish
- Course code MAGA53
- Application code KAU-43789
- Study pace 50% (Day)
- Study period week 4鈥13
- Schedule
- Introductory Information
- Reading list