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Vector Calculus Series 4 - Integral Advanced

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

(5.0) 4 reviews

423 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
This is

6,198

Learners

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Reviews

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Answers

4.7

Rating

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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

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4 reviews

5.0

4 reviews

  • pot12231232님의 프로필 이미지
    pot12231232

    Reviews 6

    Average Rating 5.0

    5

    100% enrolled

    Nếu bạn là sinh viên kỹ thuật, tất nhiên bạn phải học tốt môn tính toán! Beomhee, anh sẽ tin tưởng em và đi thôi~

    • tkn
      Instructor

      Ôi cảm ơn bạn đã tin tưởng và lắng nghe tôi.!!

  • kshoon942721님의 프로필 이미지
    kshoon942721

    Reviews 8

    Average Rating 4.5

    5

    100% enrolled

    Tôi nghe nó rất hay. Cảm ơn Hãy làm cả xác suất và thống kê.

    • tkn
      Instructor

      Tôi sắp hoàn thành khóa học cơ bản. Chúng tôi đang chuẩn bị phát hành nó trong nửa đầu năm nay. Cảm ơn

    • Cảm ơn bạn đã trả lời! Trên thực tế, tôi đang học chuyên ngành chất lỏng tính toán ở trường sau đại học. Bạn có kế hoạch dạy phân tích số không?

    • tkn
      Instructor

      Nó chưa được xác nhận, nhưng chúng tôi sẽ suy nghĩ về nó. Tuy nhiên, tôi không nghĩ nó sẽ dạy nội dung phân tích số đủ để xử lý các chất lỏng tính toán. Tôi nghĩ sẽ là một ý tưởng tốt nếu nghiên cứu FEM riêng biệt.

  • silverskang9066님의 프로필 이미지
    silverskang9066

    Reviews 1

    Average Rating 5.0

    5

    100% enrolled

    Khi tôi học vật lý mà không có nền tảng vững chắc về giải tích, có nhiều lĩnh vực tôi gặp khó khăn. Nhưng bây giờ, sau khi tham gia lớp học của thầy, tôi cảm thấy rằng sự hiểu biết của tôi về những điều tôi chưa quen đã được cải thiện đáng kể. Đặc biệt, tôi nghĩ rất dễ hiểu những khái niệm khó vì chúng sử dụng nhiều tài liệu trực quan. Cảm ơn bạn rất nhiều vì những bài giảng chất lượng! Nếu có một khóa học tiếp theo, tôi thực sự muốn tham gia nó...

    • yepsilondelta님의 프로필 이미지
      yepsilondelta

      Reviews 16

      Average Rating 4.9

      5

      100% enrolled

      Tôi cảm thấy như mắt mình đã được mở ra một thế giới mới. Tôi muốn xem lại nó một lần nữa và tiếp tục nghiên cứu các lĩnh vực liên quan. Tôi nghĩ bạn chắc hẳn đã làm việc chăm chỉ để tạo ra những tài liệu bài giảng hay. Cảm ơn!

      $38.50

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