Master Discrete Mathematics: Set Theory

Learn the fundamentals of set theory to help you succeed in Discrete Math!
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  • Lectures 20
  • Length 2 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 7/2015 English

Course Description

Are you struggling with the basic mathematical skill you need as a computer scientist?

Are you unhappy with your instructor's ability to teach the fundamental skills you need to do well in your math courses?

Master Discrete Mathematics: Set Theory is perfect for you. I cover all of the important topics thoroughly at a university level with lecture videos, example videos, additional problems, and sample exams with unique and challenging questions that will help you identify your weak points and master the material.

Each video will cover all the relevant information you need to know in under 15 minutes. I will make things simple, but still tackle the tricky questions that might seem confusing.

I encourage you to preview the example videos and problem set I have available for free below. You will succeed in Discrete Math.

What are the requirements?

  • There are no prerequisites for Set Theory

What am I going to get from this course?

  • Ace your set theory exam questions
  • Given two or more sets, find subsets, power sets, intersections, unions, differences, and complements of those sets.
  • Given two sets, determine, using set laws and venn diagrams, if the two sets are equal.

What is the target audience?

  • This course is meant for undergraduate computer scientists, math majors, or anyone with an interest in the fundamentals of mathematics.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction
01:13

We will introduce all of the topics in the course as well as the structure.

1 page

Attached is a syllabus for the course. You may find this helpful.

Section 2: Set Theory
12:16

In this video we introduce sets, look at how we build sets, and then take a look at the size of sets.

10:29

We take a look at some problems you may encounter related to "Introduction to Set Theory".

1 page

Selected Problems from "Introduction to Set Theory". These problems are a good indicator of whether or not you understand the material presented.

06:13

In this video we discuss subsets, how to make subsets, and discuss the empty set.

06:32

We take a look at some problems you may encounter related to "Subsets".

1 page

Selected Problems from "Subsets". These problems are a good indicator of whether or not you understand the material presented.

04:14

In this video we look at Power Sets, how to construct them, and the cardinalities of power sets.

05:58

We take a look at some problems you may encounter related to "Power Sets".

1 page

Selected Problems from "Power Sets". These problems are a good indicator of whether or not you understand the material presented.

09:24

In this video we discuss set operations such as complements, intersections, unions, and differences.

07:11

We take a look at some problems you may encounter related to "Set Operations".

1 page

Selected Problems from "Set Operations". These problems are a good indicator of whether or not you understand the material presented.

14:43

In this video we discuss various set laws and properties, such as commutativity, associativity, distributivity, absorption, identity, DeMorgan's, idempotency, and negation laws.

07:33

We take a look at some problems you may encounter related to "Set Laws".

1 page

Selected Problems from "Set Laws". These problems are a good indicator of whether or not you understand the material presented.

3 pages

This is the solution key to all of the additional questions in the Set Theory Section.

Section 3: Final Exam
5 pages

This is the exam for set theory. Set aside 60 minutes to write this and expect a couple challenging problems.

5 pages

This is the solution key to the exam for set theory.

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Instructor Biography

Trevor Block, Tutor and Mathematics Enthusiast

Hello everyone! My name is Trevor and I am a mathematics enthusiast that wants to help you get better at mathematics. I have been creating videos of mathematics for over a year now and have helped hundreds of individuals around the world.

My main areas of interest are logic and mathematical linguistics, specifically formal grammars and how natural language can be modeled, but I also enjoy abstract algebra and number theory.

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