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Mathematics

Vector Calculus Series 4 - Integral Advanced

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

(5.0) 4 reviews

418 learners

  • tkn
Integral Differential

Reviews from Early Learners

What you will learn!

  • Shipping Integral

  • Surface integral

  • line integral

  • surface integral

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

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

Series 4 - Advanced Integration Current Course

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

[Advanced Integration] The final series of the vector calculus course!

Q. Have you mastered everything up to Part 3 of the Vector Calculus series? But did you know that there's a new concept of integration?

❤️ Are you curious? If you're ready, let's study together!!

Q. Are you an engineer? But do you have trouble understanding the integral equations in your field?

❤️ If you listen to the vector calculus series, you will understand everything.

Q. Do I have to retake Calculus 2?

❤️ After listening to parts 1 to 4 of the vector calculus series, calculus 2 will be nothing.

In the final series of vector calculus, you will learn about new integration concepts, " line integral and surface integral, " and learn about the relationship between these new integration concepts and the double integral and triple integrals you learned in Part 3 of the series.

After learning up to the last series, you can consider yourself to have learned all the contents of the subject commonly called Calculus 2 in engineering schools.
One thing's for sure: after taking this course, you'll have a much deeper understanding of Calculus 2 than anyone else. Why? Because this course is of a quality unparalleled in the world! (Self-praise) Let's do our best to listen to the final series!

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

Q. How is the quality of the lectures?
A. I can confidently say there's no other course like this one! You won't regret it!

Q. Are there any prerequisite courses required before taking the course?
A. You'll need all the material from Calculus 1 and the Vector Calculus series, Volumes 1 through 3! If you need to take the prerequisite courses, please check out the related courses below!

Q. The lecture content. Isn't it difficult?
A. Many students often find the integration-related material covered in Series 4 of Calculus 2 difficult. That's unavoidable. The sheer volume of material requires extensive coverage, and schools have a tight timeframe to cover it. I'm confident that the learning difficulties will disappear with ample explanations and visual aids to facilitate students' understanding.

Please note before taking the class!

  • 😪 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
Integration Basics

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 1-3

  • Introduction to Linear Algebra (Optional)

Hello
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Learners

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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

35 lectures ∙ (14hr 42min)

Published: 
Last updated: 

Reviews

All

4 reviews

5.0

4 reviews

  • 송민호님의 프로필 이미지
    송민호

    Reviews 6

    Average Rating 5.0

    5

    100% enrolled

    공대생이라면 calculus 당연히.. 당연히 잘 해야지요~! 범희 형님 빽만 믿고 가겠농~

    • 조범희 (타블렛깎는노인)
      Instructor

      오우 저만 믿고 다 들어주셔서 땡큐감사합니다.!!

  • Shoon Kim님의 프로필 이미지
    Shoon Kim

    Reviews 8

    Average Rating 4.5

    5

    100% enrolled

    너무 잘 들었습니다. 감사합니다. 확률과 통계도 해주세요

    • 기초 확통 강좌 거의다 완성해갑니다. 올해 상반기내로 출시하기위해 만들고 있습니다. 감사합니다.

    • 답변 감사합니다! 사실 제가 대학원에서 전산유체를 전공하는데 혹시 수치해석도 강의 예정 있으신가요?

    • 확정되진 않았지만 고민해보도록 하겠습니다. 근데 전산유체를 다룰만큼의 수치해석 내용은 가르치진 않을것같습니다. FEM은 따로 공부하시는게 좋을것같습니다.

  • 은호님의 프로필 이미지
    은호

    Reviews 1

    Average Rating 5.0

    5

    100% enrolled

    미적분학의 기초가 제대로 없는 상태에서 물리 관련 공부를 하였을 때, 막혔던 부분들이 많았습니다. 하지만 이제 선생님 수업을 듣고 나니 막현던 부분에 대한 이해도가 상당히 발전한 것을 느낍니다. 특히 시각적인 자료를 많이 활용해주셔서 어려운 개념들도 이해하기 수월했던 것 같습니다. 양질의 강의 정말 감사합니다! 후속 강의가 있다면 너무 수강하고 싶네요...

    • gerisa님의 프로필 이미지
      gerisa

      Reviews 16

      Average Rating 4.9

      5

      100% enrolled

      새로운 세계에 눈이 뜨인 것 같습니다. 한번 더 복습하고 관련 분야들을 계속 공부하고 싶어지네요. 좋은 강의자료 만드시는데도 고생이 많으셨을 것 같습니다. 감사합니다!

      $38.50

      tkn's other courses

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