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College Edu.

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Mathematics

Basic Calculus

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

12 learners are taking this course

Level Beginner

Course period Unlimited

  • physoni
Integral Differential
Integral Differential
Integral Differential
Integral Differential

What you will gain after the course

  • 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

Function

2. Limit of a function

  • Definition and nature of extremes


  • epsilon-delta argument

  • Topological definition

  • Sandwich Cleanup


Sandwich Theorem

3. Continuity of functions

  • Definition and properties of continuous functions

  • Median Theorem (Median Theorem)

  • Maximum minimum theorem


limit 1

4. Differentiation

  • Definition of secant and tangent

  • Differential coefficient and derivative

  • Differentiability


tangent_line 2

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

upper_sum

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

Is there a way to make math easy?

Hello!

I'm Physics Oni, and I try to teach math in an easy and fun way!

I am currently pursuing a PhD in theoretical physics at the University of Tokyo.

I am striving to provide high-quality lectures that are easy to understand.

I highly recommend this to the following people! I'm having trouble studying math later in life! I want to learn as easily and simply as watching a YouTube video! For those studying for their major...

I highly recommend this to the following people!

  • I'm having trouble studying math later in life!

  • I want to learn easily and simply, just like watching a YouTube video!

  • I need math for my major studies!

  • I lack a basic understanding of mathematical concepts!

Experience 2025–Present: Inflearn Instructor 2020–Present (Math, Physics): Online Video Tutor Education 2015–2022: B.S. in Physics, University of Seoul 2022–2024: M.S. in Physics, University of Seoul 2024–Present: Tokyo

Experience

  • 2025~ : Inflearn Instructor

  • 2020~ (Math, Physics) : Online video tutor

Education 2015–2022: B.S. in Physics, University of Seoul 2022–2024: M.S. in Physics, University of Seoul 2024–Present: Ph.D. in Applied Physics, The University of Tokyo

Education

  • 2015–2022 University of Seoul, Department of Physics, Undergraduate

  • 2022~2024 Master's degree, Department of Physics, University of Seoul

  • 2024–Present: PhD, Department of Applied Physics, The University of Tokyo

Curriculum

All

16 lectures ∙ (4hr 31min)

Course Materials:

Lecture resources
Published: 
Last updated: 

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$38.50

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