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Vector Calculus Series 3 - Integral Fundamentals

This course will help you build your knowledge of the fundamentals of integration of multivariable functions.

(5.0) 4 reviews

468 learners

  • tkn
Integral Differential

Reviews from Early Learners

What you will gain after the course

  • Integral of multivariable functions

  • Calculating the volume of various shapes

  • Calculating the area of various shapes

  • Integration in various coordinate systems

Introducing the 'Vector Calculus' Series

Vector calculus is essential knowledge in countless fields, including physics, engineering, AI, deep learning, computer graphics, and economics. However , the vast amount of content makes it difficult to study on your own. That's why I created this series, which focuses on the essentials and provides a thorough overview.

If you slowly conquer each series one by one, you too will be able to conquer vector calculus.
Vector calculus, once considered boring and difficult, becomes easier with this course! 👊

The series is structured like this:

Series 1 - Fundamentals of Differentiation

  • Chapter 1 The Geometry of Euclidean Space
  • Chapter 2 Differentiation

Series 2 - Advanced Differentiation

  • Chapter 3 Higher-Order Derivatives; Maxima and Minima
  • Chapter 4 Vector-Valued Functions

Series 3 - Fundamentals of Integration Current Course

  • Chapter 5 Double and Triple Integrals
  • Chapter 6 The Change of Variables Formula

Series 4 - Integral Advanced

  • Chapter 7 Integral Over Paths and Surfaces
  • Chapter 8 The Integral Theorems of Vector Analysis

[Integral Fundamentals] The third series of vector calculus lectures!

In Vector Calculus Series 1 and 2, you learned about differentiation of multivariable functions, and in Series 3, you will finally begin studying integration of multivariable functions.

Let's take a look at some of the things you might be curious about about the course. 🙋‍♂️

Q. Are any prerequisite courses required? 📖
A. You should already be familiar with most of the integration material from Calculus 1! However, as the course progresses, we'll briefly review the necessary Calculus 1 material, so don't worry too much.

Q. Won't the lecture be difficult?
A. The reason Calculus 2, a college course, can be difficult is simply because it's impossible to cover everything in one semester. Students are expected to cover a lot of material on their own in a limited timeframe, which can be challenging. Therefore, this course will provide detailed explanations of the potentially challenging sections.

Q. Is it fun?
A. I'll share a lot of interesting and fresh content. I think you'll enjoy it even as a hobby.

 

Be sure to check before taking the class!

  • 😲 You won't regret taking this course.
  • 😪 If you feel like the lecture is speaking slowly, I recommend watching it at 1.25~1.5x speed.
  • 🙋‍♂️ Please feel free to let me know if you have any questions or suggestions for improvement.
  • 😫 We do not accept questions about personal homework, exam solutions, or genealogy solutions outside of the course content.

Would you like to take this course too?

Mathematics lecture by knowledge sharer Jo Beom-hee

Introduction to Linear Algebra
Linear Algebra with Python
Utilizing Numpy and SciPy
Fundamentals of Differentiation
Differentiation in Detail: Foundations of Optimization Theory and Vector Functions
Integral Advanced

Recommended for
these people

Who is this course right for?

  • Engineering student

  • postgraduate student

  • Engineer

  • People who study mathematics as a hobby

Need to know before starting?

  • Calculus 1

  • Vector Calculus Series 1-2

  • Introduction to Linear Algebra (Elective)

Hello
This is

6,272

Learners

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Reviews

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Answers

4.7

Rating

7

Courses

새로운것을 배우고 가르치는걸 좋아합니다.
인프런을 통해 많은 분들에게 도움이 되면 좋겠습니다.

 

전문분야 (+좋아하는 분야) 👨‍🎓

  • 전공: 원자력
  • 수학: 선형대수학개론, 대학미적분, 벡터미적분학, 응용미분방정식, 응용해석방정식, 확률과 통계, 수치해석
  • 컴퓨터 언어: 포트란(MPI, OpenMP 포함), Javascript (nodeJS), C#, C++, Python, Solidity, …

출신학교 

  • 박사: 카이스트, 원자력 및 양자공학과, 2011 ~ 2016
  • 석사: 카이스트, 원자력 및 양자공학과, 2009 ~ 2011
  • 학부: 카이스트, 원자력 및 양자공학과, 2005 ~ 2009
  • 고등학교: 경기과학고, 2003 ~ 2005

경력 

  • 2019 ~: 인프런강사
  • 2017 ~ 2018: 스탠다드에너지, 연구소장 
  • 2016 ~ 2017: 스탠다드에너지, 특수연구 총괄

링크

Curriculum

All

37 lectures ∙ (11hr 50min)

Published: 
Last updated: 

Reviews

All

4 reviews

5.0

4 reviews

  • pot12231232님의 프로필 이미지
    pot12231232

    Reviews 6

    Average Rating 5.0

    5

    100% enrolled

    Yeah, let's meet a good integral. Good~

    • tkn
      Instructor

      Hahahaha thank you

  • kshoon942721님의 프로필 이미지
    kshoon942721

    Reviews 8

    Average Rating 4.5

    5

    100% enrolled

    Very informative. I listened carefully. Thanks to you, I have a good understanding of Jacobian.

    • tkn
      Instructor

      I also keep forgetting things, so I'll have to review them again after reading the course reviews. Thank you.

  • neuron030248님의 프로필 이미지
    neuron030248

    Reviews 1

    Average Rating 5.0

    5

    100% enrolled

    I am taking the vector calculus lecture as a review before studying mathematical statistics. Thank you so much for the detailed and interesting lecture.

    • tkn
      Instructor

      Thank you. I will come back with better lectures in the future :)

  • designproc3651님의 프로필 이미지
    designproc3651

    Reviews 4

    Average Rating 5.0

    5

    32% enrolled

    $30.80

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