Mathematics 1 (2024)

Course manager

Torben René Højland

Semester schedule

Autumn (13-week period)



Language of instruction


Course type



Admission requirements for the Bachelor of Engineering in Biotechnology programme


The purpose of the course is to provide the students with the basic mathematical  foundation that is required for the Bachelor of Engineering in Biotechnology programme. Thus, focus is on such mathematical theories and methods as are applicable in connection with other courses under the programme, and associated project work. The purpose of the course is to provide the students with a general understanding of how mathematical concepts, theories and techniques can be applied in connection with the description and analysis of conditions and problems of relevance to the education, as well as the engineering profession. 



  • Complex numbers
  • Linear algebra
  • Differential equations

Learning targets

On completion of the course, the student is expected to be able to:


  • The real and complex coordinate space
  • Elementary complex functions
  • Vector spaces
  • Matrix algebra
  • Systems of linear equations
  • Linear dependence
  • 1st and 2nd order differential equations


Complex numbers

  • Carry out basic manipulations with complex numbers
  • Solve linear and quadratic equations in complex space

Linear algebra

  • Do basic matrix operations e.g. addition, subtraction, multiplication, and inversion
  • Solve systems of linear equations using matrix methods
  • Compute determinants of matrices


Differential equations

  • Classify a differential equation
  • Solve inhomogenous 1st and homogeneous 2nd order differential equations analytically 

Teaching method

Teaching in class, podcasts and problem solution

Qualifications for examination participation

  • Approval of all written assignments.

Each assignment will be performed and submitted subject to guidelines set out by the course manager.

Examination and aids

  • Oral examination. 30 min. preparation + 30 min. examination

Permitted aids: Own notes. No access to the internet

The form of examination at a 3rd attempt may vary from the above. 


Internal: Oral examination


The 7-point grading scale