Start Learning Sets

Here, you find my whole video series about Start Learning Sets in the correct order and I also help you with some text around the videos. If you have any questions, you can use the comments below and ask anything. However, without further ado let’s start:

Introduction

Start Learning Sets is a video series I started for everyone who is interested in the necessary foundations you need to enjoy the whole world of mathematics. At this point, you know a lot about the language of the mathematical logic such that we are ready to start with set theory:


Watch video on YouTube PDF Version Quiz


Let’s get started

So, sets don’t seem very complicated but you might not see yet how powerful they really are. All mathematics you ever know or will learn here with me can be formulated with sets. And that is the beauty of it: We only need set theory as the foundations of mathematics to construct the whole building on top! Okay, then let’s talk more about sets:


Watch Start Learning Sets Part 2 PDF Version Quiz


Operations we can do with sets include unions, intersections, and set differences:


Watch Start Learning Sets Part 3 PDF Version Quiz


For building new sets, the Cartesian product is very important:


Watch Start Learning Sets Part 4 PDF Version Quiz


Let’s talk about maps. There we can define the preimage, image and range:


Watch Start Learning Sets Part 5 PDF Version Quiz


For maps also the notions injective and surjective are very important. If we have both things, we speak of bijective maps:


Watch Start Learning Sets Part 6 PDF Version Quiz


Next important thing we can do with maps is the composition of two maps:


Watch Start Learning Sets Part 7 PDF Version Quiz


Go to the next course

Start Learning Logic
Start Learning Sets
Start Learning Numbers
Start Learning Reals
Start Learning Complex