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


Students who have passed the module should be able to explain

  • Real functions of two and more variables – definitions, results and techniques concerning partial derivatives.
  • Curvature and torsion determine curves in space.
  • Integration in plane and space wrt. various coordinate systems – including connections between such integrals.
  • The structure of the set of solutions to different types of first and second order differential equations.


  • Differentiation of functions of several variables (including composite functions) as well as a geometric understanding of this.
  • Extrema for functions of two and three variables.
  • Maxima and minima for functions of two variables.
  • Calculation of  curvature and torsion, arc length, velocity, acceleration and interpretation of these in a geometric setting.
  • Set up and evaluate simple integrals in plane and space wrt. various coordinate systems.
  • Solve and plot various types of first- and second order differential equations.


  • Can apply methods and concepts from calculus, including space curves, integration, and differential equations 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



Name of examCalculus
Type of exam
Written or oral exam
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 titleCalculus
Module codeK-KT-B1-32
Module typeCourse
Duration1 semester
Language of instructionDanish and English
Empty-place SchemeYes
Location of the lectureCampus Esbjerg
Responsible for the module


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