Section outline

  • Introduction

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    • Hi there 👋! 

      Welcome to the first course in the roadmap to master set theory and logic. In this course, we are going to learn the very \( elements \) that make up a set. So let's dive in!

      • 🎯 What will you learn?

          • Refresher into fundamentals of Set Theory
          • Different ways to describe a Set
          • Working with Venn Diagrams involving two Sets
          • Relationships between the numbers of elements in two sets
    • Announcements Forum

  • So, what's a Set?

    • This first lesson is more of an introductory lesson to Sets.

      During previous grades, we learned about the basic idea of a set and know how to work with them. We learnt three basic methods.

      • Descriptive method
        • This is very easy. It's just describing what a set is in words.
          A = \( \{\text{even numbers between 0 and 10} \} \)
      • Method of listing elements
        • Also called the roaster method, this is just listing out the elements in a list.
          \( A = \{2, 4, 6, 8\} \)
      • Venn Diagram method
        • Venn diagrams can visualize your sets, and we learnt only a little bit about those. Well it's going to get even more interesting!
          Venn Diagram showing the set A = {2,4,6,8}

      So let's take a look at a new method to describe sets - the set builder method. Watch the below video!

      Practice Time! Follow the below video to learn how to define sets in all the different ways that we learnt.

    • Fun Blooket Game URL

      Use this link to access the live Blooket Game. Hurry up and join!

    • Let's discuss some examples of set builder notation! Forum
    • Lesson Quiz: What's a Set

  • Venn in doubt, use Circles!

    • Welcome to the second lesson of the course, and congratulations for completing the first one! In this lesson, we will learn the regions in a Venn diagram. We will learn a more advanced version of Venn diagrams, step by step. First, let's look at this video!

      Our Own World: The Universal Set

      Usually, when drawing a Venn diagram, we cover the whole Venn diagram with another set, which is Set, in and out of itself. All the sets within this Universal Set are all subsets of the Universal Set. A Universal Set is the set that contains everything we are talking about in a particular situation. We denote the Universal Set using the epsilon \(\varepsilon\).

      Now, let's learn more in depth about the intersection and union of sets.

    • Play with Venn Diagram Regions GeoGebra

      Let's do this small activity to play around with the different regions of a Venn Diagram. Have fun!

      • Open this for a cool analogy!

        • We all know that there are some people who bring lunch, and some who forget, but we all end up eating others' food so that we can try each others' food. So here, whether we bring our own food or not, we end up eating others food, hence, the intersection.

          We all know that there are some people who bring lunch, and some who forget, but we all end up eating others' food so that we can try each others' food. So here, whether we bring our own food or not, we end up eating others food, hence, the intersection.

    • Group Exercise - Do a Small Survey Assignment
      Opened: Sunday, 18 May 2025, 12:00 AM
    • Discuss your answers with others! Forum
    • Lesson Exercise: Venn in doubt, use Circles! Assignment
      Opened: Sunday, 18 May 2025, 12:00 AM

  • Cardinality: It’s a Numbers Thing

    • Congratulations! You have only one more lesson to go!

      In this lesson, we are going to learn the relationship between the numbers of elements in two sets. When doing real-world problems, being able to identify the number of elements in an intersection, union, helps us to accurately understand the problem better. So let's watch this video to get started.

      Take a look at these worked out examples to understand better.

      • Activity: Let's get into Breakout Rooms!

        • We have a very interesting task to do now. All of us are going to get into a breakout room and solve the cardinality problems in small groups. An instructor will join the session and divide you into groups, and hand out a small cardinality problem to solve in groups.

        • Zoom Link URL
        • Worked out scenarios Forum

          Use this forum to submit your worked out scenarios from the Zoom Session.

    • Lesson Blooket Quiz: Cardinality URL

      Access the Blooket quiz here.

    • The Big Assignment
      Opened: Sunday, 18 May 2025, 12:00 AM

      This is your final assignment for this course. You are to do this assignment and submit before the due date, and you are done!. Good Luck.