Linear Algebra

2020/2021

Prerequisite/Recommended prerequisite for participation in the module

A-level mathematics from a Danish high school or equivalent.

Content, progress and pedagogy of the module

Learning objectives

Knowledge

Students who have passed the module should be able to explain

  • Vectors, matrices and systems of linear equations
  • Connections between solution of systems of linear equations, associated matrices and operations on those
  • Linear independence and dimension.
  • Eigenvalues and eigenvectors
  • The connection between properties of a matrix and of the echelon form of it
  • Linear programming: Possibilities and limitations
  • The least square method and the connetion to orthogonal projection.
  • Orthogonal and symmetric matrices.

Skills

  • Matrix-vector product, product and sum of matrices.
  • Row operations.
  • Gauss elimination.
  • Eigenvalues and eigenspaces.
  • Solution of a system of linear equations on vector form.
  • Bases of subspaces associated with a matrice.
  • The simplex method. Converting to standard form.
  • The least square method on a data set.

Competences

  • Can apply methods and concepts from linear algebra, including linear programming and orthogonal projections to given problems relevant to the study programme

Type of instruction

  • Lectures
  • Exercises
  • Videos
  • Quiz
  • Digitalized self-study
  • Workshops on calculus problems relevant to the study programme.

Extent and expected workload

150 hours

Exam

Exams

Name of examLinear Algebra
Type of exam
Written or oral exam
ECTS5
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentThe criteria of assessment are stated in the Examination Policies and Procedures

Facts about the module

Danish titleLineƦr algebra
Module codeK-KT-B2-20
Module typeCourse
Duration1 semester
SemesterSpring
ECTS5
Language of instructionDanish and English
Empty-place SchemeYes
Location of the lectureCampus Esbjerg
Responsible for the module

Organisation

Study BoardStudy Board of Biotechnology, Chemistry and Environmental Engineering
DepartmentDepartment of Chemistry and Bioscience
FacultyFaculty of Engineering and Science