Content, progress and pedagogy of the
- Real functions of two and more variables – definitions, results
and techniques concerning partial derivatives.
- Integration in plane and space wrt. various coordinate systems
– including connections between such integrals.
- Complex numbers as an extension of the real numbers – in a
geometric as well as an algebraic setup. The connection between the
complex exponential function and trigonometric functions.
- 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
- Extrema for functions of two and three variables.
- Maxima and minima for functions of two variables.
- Set up and evaluate simple integrals in plane and space wrt.
various coordinate systems.
- Add, multiply and divide complex numbers. Transform between
polar and Cartesian form.
- Solve and plot various types of first- and second order
- Can apply methods and concepts from calculus, including
integration, complex numbers and differential equations to given
problems relevant to the study program.
Type of instruction
Lectures, exercises, videos, quiz, digitalized self-study,
workshops on calculus problems relevant to the study program.
Possibly supplemented by e-learning.
Extent and expected workload
Since it is a 5 ECTS course, the work load is expected to be 150
hours for the student.
|Name of exam||Calculus|
|Type of exam|
Written or oral exam
|Assessment||7-point grading scale|
|Type of grading||Internal examination|
|Criteria of assessment||The criteria of assessment are stated in the Examination
Policies and Procedures|