Linear Algebra and Vector Calculus
7.5 ECTS credits- Linear systems of equations, matrix algebra, determinants
- The concepts: dimension, basis, change of basis, real vector space, linear map, isomorphism. Examples of vector spaces as e.g. null spaces and column spaces.
- Eigenvalues and eigenvectors
- Inner product spaces, orthogonal projections, the Gram-Schmidt method and applications
- Solving systems of linear equations and eigenvalue problems using Matlab/GNU Octave
- Vector fields, divergence and curl with physical interpretations, potentials, the nabla operator
- Line integrals, surface integrals, flux integrals
- Green´s formula, Gauss´ theorem, Stoke´s theorem
- The concepts: dimension, basis, change of basis, real vector space, linear map, isomorphism. Examples of vector spaces as e.g. null spaces and column spaces.
- Eigenvalues and eigenvectors
- Inner product spaces, orthogonal projections, the Gram-Schmidt method and applications
- Solving systems of linear equations and eigenvalue problems using Matlab/GNU Octave
- Vector fields, divergence and curl with physical interpretations, potentials, the nabla operator
- Line integrals, surface integrals, flux integrals
- Green´s formula, Gauss´ theorem, Stoke´s theorem
Progressive specialisation:
G1F (has less than 60 credits in first‐cycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements:
MAGA60 (Foundation course in Mathematics), MAGA61 (Calculus in one variable), and MAGA62 (Calculus in several variables), 7.5 ECTS cr each, 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.
Course code:
MAGA63
The course is not included in the course offerings for the next period.