Relations and Functions 1

course duration:Self-study course
Author:Prof. Dr. Ralf Schiffer
Duration:5 weeks

What is this course about?

In this online course Relations and Functions 1, you will learn what relations and functions are, the difference between relations and functions and how relations and functions can be graphed.

What do you learn in this course?

  1. You will be able to understand the basic concept of relations, building directly on the set concept.
  2. You will realise that you have often come across relations: They are ubiquitous in mathematics and information technology.
  3. You will be able to define the term "real function" and you are able to connect numerous of their properties such as symmetry, periodicity, etc. with descriptive representations.
  4. You will have gained a clear idea of limit value generation and will master computing techniques for specific calculation of limit values of numerical sequences as well as functions.
  5. You will be able to explain the important significant properties of straight lines, parabolas, hyperbolas and you are able to connect the corresponding functional equations to the descriptive concepts of the related curve progression. Moreover, you will be able to derive the related linear equation from the specified properties of a straight line.

How is the course structured?

  1. Relations
  2. Fundamentals of Real Functions
  3. Limits and Continuity
  4. Selected Elementary Functions

Who leads you through the course?

Kai Obermüller

Kai Obermüller

Kai has studied mathematics and chemistry and he currently works also as an author for MOOCs on He has been employing in Massive Open Online Courses for over five years, started there as a participant. For more than two years he has also been creating courses and content at the oncampus for the learners. His interests are mainly in the field of science and making.


In this course, you can get Training certificate.


Technische Hochschule Lübeck

Supported by

Schleswig-Holstein - Ministerium für Soziales, Gesundheit, Jugend, Familie und Senioren