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:

Part 1 - Overview and Element Relation

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:


YouTube PDF Quiz


Part 2 - Predicates, Equality and Subsets

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:


YouTube PDF Quiz


Part 3 - Union, Intersection, Differences and Power Set

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


YouTube PDF Quiz


Part 4 - Cartesian Product and Maps

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


YouTube PDF Quiz


Part 5 - Range, Image and Preimage

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


YouTube PDF Quiz


Part 6 - Injectivity, Surjectivity and Bijectivity

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


YouTube PDF Quiz


Part 7 - Composition of Maps

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


YouTube PDF Quiz


Go to the next course

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