Entry requirements

Standarbehörighet E.2.1.

Aims

To give the basics about equations and their

solutions, about geometry in three dimensions and

in linear algebra. The course shall also provide

the students with the calculational skill in using

the introduced concepts.

Content

Complex numbers, polynomials, induction and

algorithms. Linear systems of equations.

Successive elimination. Matrices and determinants.

Geometry in two and three

dimensions. General vector spaces, basis,

dimension. Inner product spaces, orthogonality,

orthogonalisation and projection, method of least

squares. Linear transformations and their

representations in different bases. Eigenvalues,

eigenvectors and diagonalisation. A survey of the

historical background. Symbolic Algebra Programs

may be used in the

course.

Instruction

Lectures, lessons, seminars and laboratory work.

Assessment

Written examination with problems and theory

questions at the end of the course. Hand-in

assignments may be given during the course.