The first step in all of mathematics, just the core essentials of set theory!
This course extracts only the core essentials of set theory. Starting with this course, you can build a solid foundation for various branches of mathematics, such as linear algebra and calculus.
What you will gain after the course
Understanding the fundamental concepts of mathematics for data analysis
Understanding the precise meanings of terms such as sets, propositions, and functions
No matter what kind of math you study,
it all starts with set theory, the most fundamental basis! 🗂️
The very beginning of a math book
was always set theory. 📖
No matter what kind of mathematics you study, set theory is always the foundational content. That's why we are so familiar with terms like sets, propositions, and functions. However, how many people can truly explain them?
Recently, as the fields of data analysis and artificial intelligence have come to the fore, the importance of mathematics is being emphasized even more. Linear algebra and calculus are frequently mentioned as the mathematics relevant to these fields. However, if you have a liberal arts background or even a science background but didn't take these courses properly, they are bound to feel difficult. Even if you look for and listen to easy content, you won't be able to shake the feeling that something is missing. This is because you skipped set theory, which is the foundation of all mathematics. I decided to create a lecture consisting only of the core contents that will appear consistently among the topics of set theory.
Course Structure 📝
Chapter 01. Sets, the First Step!
- We learn terms such as axioms, definitions, and theorems, and cover basic set operations.
- Learn how to use logic symbols and definition symbols.
Chapter 02. Propositions
- Starting with basic logical operations, we learn about the proposition "if p, then q."
- You can learn about sufficient conditions and necessary conditions.
Chapter 03. Functions
- Learn what a function is and explore its various characteristics.
- We weave together separate concepts by building a narrative to define inverse functions.
Chapter 04. Sets, One Step Further!
- We cover the size of sets. We explore not only finite sets but also infinite sets.
- Learn about equivalence relations and partitions with easy examples, and work through the related proofs together.
Course Features ✨
- This is a course you can take regardless of how much math you currently know.
- Starting with this lecture, you will be able to build much more solid mathematical knowledge as you continue your studies.
- This is a summary of what I believe is the minimum level of knowledge required, based on my experience studying, teaching, and applying mathematics in the field.
- The board work is conducted in English, but all explanations are provided in Korean.
- I have included subtitles in all the videos.
- The audio in the video occasionally clips; please understand that this is due to my lacking video editing skills.
- There are no separate references, so you only need to prepare a notebook for taking notes.
Answers to Frequently Asked Questions 💬
Q. I gave up on math a long time ago, so can I still take this course?
Of course! This is a lecture that can be taken without any prior knowledge.
Q. The math I need doesn't require a deep level, but do I still need to study set theory?
Set theory is the foundation of all mathematics. The content is more unfamiliar than it is difficult. No matter what level of mathematics you may need in the future, I highly recommend going through the set theory content at the level of this lecture.
Q. Why are the board notes written in English?
It is much more convenient to know most mathematical terms in English. Since the terms used in set theory are also well-known in Korean, it is necessary to know both. Therefore, while the board work is conducted in English, I will also provide the Korean meanings of those words during the lecture.
Instructor Introduction ✒️
Math Enthusiast
Current) AI Researcher
Former) Master's degree from Seoul National University, Department of Mathematical Sciences
Former) Bachelor's degree from University of Seoul, Department of Mathematics
Lecture History
- Conducting lectures on Linear Algebra, Calculus, Mathematical Statistics, etc., for the general public
- [2016. 03 ~ 2018. 06] Linear Algebra and Calculus TA & recipient of the Outstanding Teaching Assistant Award
- [2014. 03 ~ 2015. 08] Teaching Assistant for Mathematics Major Courses
- [2012. 01 ~ 2012. 12] Science-track Lead Instructor at a private academy in Daechi-dong
- [2010. 03 ~ 2018. 06] Numerous private tutoring sessions for middle and high school students
Recommended for
these people
Who is this course right for?
Those who know they need to do math but don't know where to start
Those who know the terms like sets and functions but don't know the actual content.
Those whose foundations are shaky because they have only studied problem-solving-oriented mathematics
Those who lack confidence in math because they have a liberal arts background
Hello
This is suminmath
47
Learners
4
Reviews
5.0
Rating
1
Course
- Since majoring in mathematics in university, I have seen many people who are much better than me, as well as many people—including math majors—who find mathematics incredibly difficult.
- Most people who are good at math have great insights, but they did not know how to explain what they understood to others, nor did they understand why the other person couldn't grasp that specific part.
- People who struggle with mathematics tended to find it vaguely difficult, and the gap widened over time because there was no one to provide insightful explanations for the parts they did not understand.
- I can state with certainty that I am not what people typically call a "genius type." I faced numerous difficulties while studying mathematics, and I have grown by gaining my own insights through each of those challenges.
- Therefore, I deeply understand the struggles of those who find mathematics difficult,
- I know exactly how to explain what I know.
- To date, I have taught middle and high school students, college students, and the general public through private tutoring, academies, and graduate teaching assistantships, and I have always received positive feedback.
- Now, I have come to Inflearn to help even more people solve their challenges :)
I have been lecturing for both professionals and the general public, and I have always received positive feedback. Now, I’ve come to Inflearn to help even more people solve their challenges :)
Curriculum
All
15 lectures ∙ (3hr 7min)
1. 0. Introduction
10:57
Reviews
All
4 reviews
5.0
4 reviews
keizikangReviews 1
∙
Average Rating 5.0
5
33% enrolledIt's the best! The explanation is really good and the tone of voice is so good that it goes right into my ears. I want to recommend it widely because it explains the main points without going into a long story.
- suminmathInstructor
Thank you for your kind words. If you continue to study mathematics, you may have some shortcomings in cardinality and other areas, but from my experience, there were not as many cases as you might think. In fact, I thought that the contents covered in the current lecture were the core, so I organized the lecture, and although you will not completely understand it just by listening to the lecture, I think it can at least serve as a good reference. I hope it will be of some help to you in your future mathematics studies. Thank you.
- bigcat0815
Reviews 85
∙
Average Rating 5.0
5
100% enrolledThis set theory course was really helpful in understanding the concepts of terms. Of course, you won't learn everything in one study, but this course helps you understand the flow and learn what to study later when needed. The time is just right, the lecture tension is good, and the best part is that there are subtitles so you can see unfamiliar terms. However, I think I'll have to keep a textbook next to me to solidify the concepts the teacher mentioned. If there's a textbook that I can easily review or study, I'd appreciate it if you could recommend one. I'm also looking forward to the next linear algebra. Teacher! Thank you for the great course.
- suminmathInstructor
Congratulations on completing the course, and thank you for your sincere evaluation! If you want to focus on set theory, you can read Pinter's Lecture Notes in Set Theory. I found a Korean version. It's much more than the current lecture, but I hope you'll look at the methods for comparing sizes between sets, infinite stages, and equivalent axioms including the axiom of choice. The content I covered in the lecture is a compilation of concepts that appear commonly in linear algebra and other subsequent subjects, so I think you'll be able to get a greater synergy if you study other mathematics. :)
- ejlee3829
Reviews 1
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Average Rating 5.0
- kanguncho4611
Reviews 2
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Average Rating 5.0