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[Suminjeongeum] Basic Mathematics for AI - An Introduction to Mathematics Starting from Concepts

"The deep learning code runs, but why do the formulas in papers look so unfamiliar?" As you study AI, you eventually hit a wall of mathematical formulas. If you trace the source of that wall, it usually leads back to not having a solid foundation in the most basic mathematical language. Starting with the language of sets, this course covers core concepts across 18 lectures, including equations, functions, sequences, exponents/logarithms, and trigonometric functions. We don't make you memorize formulas. While we briefly touch upon how these connect to the context of AI, the primary goal of this course is one thing — to build an unshakable foundation for when you later learn linear algebra, calculus, and probability/statistics. As the first part of the Suminjeongeum series, this course will provide you with the common language needed to properly digest the remaining three parts.

3 learners are taking this course

Level Beginner

Course period Unlimited

AI
AI
Business Productivity
Business Productivity
Deep Learning(DL)
Deep Learning(DL)
Machine Learning(ML)
Machine Learning(ML)
Self Improvement
Self Improvement
AI
AI
Business Productivity
Business Productivity
Deep Learning(DL)
Deep Learning(DL)
Machine Learning(ML)
Machine Learning(ML)
Self Improvement
Self Improvement

What you will gain after the course

  • The notation for functions and mappings used in linear algebra—the mathematical language capable of handling subsequent series—the properties of exponential, logarithmic, and trigonometric functions presupposed in calculus, and the language of sets appearing in probability and statistics: this lecture is the common root of them all.

  • This is the AI context covered directly in the lecture on the ability to read sigmoid, MAE, and MSE formulas. You will learn the mathematical structures behind activation functions and loss functions, and by the end of this lecture, you will be able to follow and understand these formulas when you see them.

  • The habit of thinking of mathematics as a 'structure'—defining objects through sets, expressing relationships through functions, and describing repetition through sequences. This approach allows you to internalize a way of understanding through connections between concepts rather than rote memorization.


From sets, equations, and functions to exponents, logarithms, and trigonometry,
you will build a solid foundation in the basic language of mathematics for AI.

We turn your vague fear of mathematics into confidence,
offering you 'understandable mathematics' that will serve as a
solid foundation for all your AI studies.


By the end of this course, you will

You will be able to build a solid foundation in AI mathematics on your own.

You will understand the core principles of essential mathematical concepts for deep learning, machine learning, and Artificial Intelligence (AI) studies, such as
sets, functions, exponents/logarithms, and trigonometric functions.

By learning structural thinking instead of formula memorization,
you will develop a deep, unwavering understanding
when you later study linear algebra, calculus, and probability and statistics.


You will no longer be stuck in front of mathematical formulas.

By building concepts around
"why things work this way,"

you will gain the confidence to
analyze and understand on your own,
even when encountering unfamiliar formulas or notations.


You will gain the courage to start math again.

Even if middle and high school math is a bit fuzzy or you haven't touched it in a long time,
this course builds up from the most basic concepts
step by step, so
you will regain the sense that "I can do it too."


You will gain confidence in logic, leading to increased work productivity.

We are in an era where everyone uses AI, even if they are not AI developers.
The reason people get different results while using the same AI
is that the quality of their questions differs.
Through mathematics, you can train your logical thinking
and become capable of asking sophisticated questions.




✔️

AI Mathematics: Overcoming the daunting wall of formulas

Basic Mathematics for AI
Rebuilding Concepts from Scratch

Introduction to Mathematics

This course clearly covers core mathematical concepts essential for AI learning—from sets to exponents, logarithms, and trigonometric functions—over 18 lectures. Rather than simply memorizing formulas, it helps you understand how mathematics is applied within the context of AI, allowing you to build a solid foundation for further studies in linear algebra, calculus, and probability and statistics.

Viewing mathematics as a 'structure'
Thinking habits

Mathematical concepts that were either overlooked or blindly memorized. By clarifying each concept and examining the intermediate processes, you will develop an eye for mathematics. You will be able to grasp the structure of activation functions or loss functions in complex AI formulas and cultivate the ability to directly read and understand actual formulas such as sigmoid, MAE, and MSE.

A Common Language for AI Learning

You will learn the language that forms the common roots of various concepts you will encounter in advanced AI studies, such as linear algebra, calculus, and probability and statistics. This supports developers whose Python code runs but who get stuck in front of mathematical formulas, as well as those who have been away from math for a long time but want to study AI properly, so they can continue their learning without wavering.


📚

A new approach
to understanding mathematics through structure

Section 1

Setting the Starting Point for Mathematics Learning

This course provides a general introduction and sets learning objectives for basic mathematics for AI learning. It guides you through the core mathematics curriculum covered in the course, effective learning methods, and the necessary mindset.


Section 2

Sets and Basic Operations of Numbers

We will learn the concept of sets, which are the basic language of mathematics, along with elements, subsets, and operations. Additionally, we will understand how to handle the magnitude of numbers through square roots and absolute values.


Section 3

Linear Equations and Functions

Learn how to read and write mathematical expressions through polynomials, equations, identities, and factorization. Study linear equations and linear inequalities, and learn the structure of linear functions and their graphs.


Section 4

Quadratic Equations and Functions

Learn the methods for solving quadratic equations, the quadratic formula, and the discriminant. Understand the graphs and vertices of quadratic functions, and analyze the relationship between quadratic inequalities and the discriminant.


Section 5

In-depth Understanding of Functions

We will cover the definition and graphs of functions, as well as injective, surjective, and bijective functions, inverse functions, and composite functions in depth. Additionally, we will learn the basics of AI-related functions such as sequences, Sigma notation, polynomial functions, ReLU, and MSE.


Section 6

Understanding Exponents and Logarithms

Learn the laws of exponents and the expansion of exponents, and master the concepts of the natural constant e, exponential functions, and the sigmoid function. Understand the relationship between exponents and logarithms through the concept of logarithms, logarithmic laws, and natural logarithms.


Section 7

Trigonometric and Hyperbolic Functions

Learn about radian measure, which expresses angles as real numbers, and the periodic properties of trigonometric functions. Furthermore, understand functions used in AI, such as hyperbolic functions, tanh, and MAE.


We can solve the concerns
of these people!

📌

AI beginner developers /
Current developers
lacking basic math skills

Those who are familiar with Python code
but feel lost in front of formulas
in deep learning papers.
Those who feel vague about
what mathematical structures functions like
sigmoid, MAE, and MSE are built upon.

Those who want to study AI/deep learning
to increase work productivity, but find it difficult to follow linear algebra or calculus lectures because middle and high school math concepts are faint.
Those who have experienced getting stuck on
function notation or the basic properties of exponents and logarithms.


📌

Those who wish to enter the AI/ML field

Those who have been away from math for a long time
but want to start studying AI
properly.
Those who want to build a solid foundation
of concepts such as sets, equations, functions, and sequences
that form the basis of AI mathematics within the context of AI,
establishing an unwavering base
for further advanced learning.


📌

General public who want to
self-develop through mathematics

Those who have been completely distanced from
mathematics since their school days,
but wish to revive
logical thinking skills and
mathematical intuition as part of
self-development. Those who want to
develop an eye for reading
numbers and data in the
AI era but felt overwhelmed about
where to start. Those who want to
understand core concepts
within the context of real life and AI
without the burden of
"re-learning" math.

Notes before taking the course


Practice Environment

  • There are no specific PC hardware requirements.

  • A general PC environment suitable for watching online lectures is sufficient for understanding the course content.

  • An environment where you can watch online lectures is required.

Prerequisites and Important Notes

  • It is suitable for those who want to study AI and deep learning.

  • Recommended for those learning mathematics for the first time or starting again after a long break.

  • It is great for those who want to build a foundation before studying linear algebra, calculus, and probability and statistics.

Learning Materials

  • Key concepts needed during the lecture are provided as lecture materials.

  • You can develop the ability to directly read formulas in connection with the context of AI.

  • We focus on forming a thinking habit that views mathematics as a 'structure.'


Recommended for
these people

Who is this course right for?

  • Those who have taken linear algebra or calculus courses but keep getting stuck. Those who went to learn about vectors, matrices, and derivatives, only to turn back because they were tripped up by function notation or exponents and logarithms. You can fill those gaps with this single lecture.

  • Developers who can code in Python but stop in their tracks when faced with formulas—those who repeatedly say "let's just skip this" when encountering the mathematical equations for loss functions or activation functions while running models. This lecture will help you establish that starting point.

  • For those who haven't touched math in a long time but want to study AI properly, and for those who want to start over from the basics after giving up somewhere during high school. We have selected and included only the essentials necessary for AI math, without any unnecessary content.

Hello
This is suminmath

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Courses

- 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 :)

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Curriculum

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19 lectures ∙ (5hr 51min)

Course Materials:

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