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Mathematics

Basic Calculus

If calculus is too difficult? From the basics, step by step! Covers university-level calculus.

11 learners are taking this course

  • physoni
Integral Differential

What you will learn!

  • Definition of Functions and Various Functions

  • Definition and concept of the limit of a function

  • Continuity of functions

  • Basics and Concepts of Differentiation

  • Foundations of Integration and the Fundamental Theorem of Calculus

The beginning of calculus!

If you're new to calculus, start with this lecture!

This class is designed to lay the foundation necessary before studying calculus in earnest.

It is primarily based on the high school curriculum, with lectures structured to add content not taught in high school.


You learned it in high school?

Knowing knowledge and learning a concept can be very different.
Historically important mathematical concepts arose because there was a need for them.
Rather than simply listing knowledge , the goal is to understand core concepts by asking questions such as “Why was it necessary?” and “How was it created?”


I'm bad at math.

The most important thing in math is ideas!

The purpose of this lesson is to learn basic ideas and see how to express them in formulas.

Highly recommended for those with weak basics, as it focuses on concepts rather than difficult calculations.


  • Intuition over formulas! Focus on visual explanations

  • The Link Between High School Math and College Calculus

  • Understandable even for non-majors

Preview

1. Basics of functions

  • Basic Number Theory

  • Basic concepts of functions

  • Injective function, surjective function, bijective function

  • Polynomials, rational functions, irrational functions

  • Trigonometric functions, inverse trigonometric functions

  • Exponential function, logarithmic function, Euler's formula,

    Hyperbolic function

  • Piecewise functions, absolute value functions, and step functions

2. Limit of a function

  • Definition and nature of extremes


  • epsilon-delta argument

  • Topological definition

  • Sandwich Cleanup


3. Continuity of functions

  • Definition and properties of continuous functions

  • Median Theorem (Median Theorem)

  • Maximum minimum theorem


4. Differentiation

  • Definition of secant and tangent

  • Differential coefficient and derivative

  • Differentiability


5. Integration

  • Partition and Riemann sum

  • Definition and properties of definite integrals

  • Definition and properties of indefinite integrals

  • Fundamental theorems of calculus 1 and 2

Things to note before taking the class

Learning Materials

  • Learning material formats provided: PPT, board, other materials

  • Amount: Learning materials provided for each lecture

Target students

  • High school student or college freshman

  • Students who lack basic calculus skills

  • Students who are having trouble with their major mathematics classes

  • A student who hasn't done math in a long time

Player Knowledge and Notes

  • A basic understanding of concepts at the high school first year level is required.

  • This course covers a mix of J. Stewart's 7th edition of 'Calculus', high school mathematics courses, and introductory analysis.


Recommended for
these people

Who is this course right for?

  • Beginners in University Calculus!

  • Someone having trouble with basic concepts!

Hello
This is

수학을 쉽게 하는 방법이 없을까?

안녕하세요!

쉽고 재밌게 수학을 가르치려고 하는 물리 오니입니다!

현재 도쿄 대학교에서 이론 물리학 박사 과정을 진행하고 있습니다.

이해가 쉬우면서 높은 품질의 강의를 제공하기 위해 노력하고 있습니다.

 

다음과 같은 분들에게 강추합니다!

  • 뒤늦게 수학을 공부하는데 어려움이 있어요!

  • 유튜브 영상 보듯이 쉽고 간단하게 배우고 싶어요!

  • 전공 공부를 위해서 수학이 필요해요!

  • 수학에 대한 기초 개념이 부족해요!

 

경력

  • 2025~ : 인프런 강사

  • 2020~ (수학, 물리) : 온라인 화상 과외 강사

 

학력

  • 2015~2022 서울시립대 물리학과 학부

  • 2022~2024 서울시립대 물리학과 석사

  • 2024~ 도쿄대 응용 물리학과 박사

Curriculum

All

16 lectures ∙ (4hr 31min)

Course Materials:

Lecture resources
Published: 
Last updated: 

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