In this online course,
"Relations and Functions 1", you will learn what relations and functions
are. You will discover the difference between them and how to graph
relations and functions.

What can you learn in this course?

You will be able to understand the basic concept of relations, building directly on the set concept.

You will realise that you have often come across relations: They are ubiquitous in mathematics and information technology.

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.

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.

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.

Outline

Relations

Fundamentals of Real Functions

Limits and Continuity

Selected Elementary Functions

Author

Kai Obermüller

Kai
holds a degree in mathematics and chemistry and has authored a number
of MOOCs on oncampus.de. Starting out as a participant, Kai has been
active in Massive Open Online Courses for over five years. For over two
years, he’s been creating his own courses and content for learners at
oncampus. His main interests are Science and “Making”.