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Vector Calculus Series 1 - Differentiation Basics

This course will provide students with a solid foundation in the fundamentals of differentiation in vector calculus (Calculus 2).

(4.5) 24 reviews

877 learners

  • tkn
Integral Differential

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What you will learn!

  • Properties and operations of vectors and matrices in Euclidean space

  • How to use various coordinate systems

  • Differentiation concepts and rules for multivariable functions

  • Applying vector calculus to solve real-world problems

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 Current Course

  • 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 - Integral Advanced

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

[Basic Differentiation] The first series of vector calculus lectures!

Curious about differentiation and integration of multivariable functions?🙄
Are you finding Calculus 2 or Vector Calculus at your university too difficult?😭

In this course, you will learn the fundamentals of differentiation in vector calculus.

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

Q. What will I learn in Vector Calculus Series 1?
A. In this course, you will learn how to define the differentiation of general functions, such as n-variable functions or vector-valued functions.
* You can get more detailed information by watching the course introduction videos for Units 1 and 2.

Q. I find Calculus 2, a subject I'm learning in college, difficult..😂 Will this course help me?
A. It will be very helpful. Because the lecture time is limited compared to the difficulty of the course at school, it's understandable that students might find it difficult. This course includes detailed explanations, numerous illustrations, and animations to facilitate thorough understanding.

Q. Are any prerequisite subjects required?
A. The prerequisite for taking Series 1 is differentiation of single-variable functions, which is covered in Calculus 1. The course assumes a basic understanding of differentiation of polynomials, logarithmic functions, and trigonometric functions.
As the class progresses, we will cover the basic necessary parts, so even if you don't remember the contents of Calculus 1, you can look them up again and study them.

Q. Why did you split the series into four parts?
A. If I were to open it as a single course, the lecture volume would be enormous, and I was concerned that students would be able to fully understand it. I thought it would be better to divide the course into four series, allowing students to master each section one by one. From a course creator's perspective, I also felt that properly creating and uploading each series would result in a higher level of completion.

Q. The lecture materials are in English. Isn't that difficult?
A. I believe it's ultimately more helpful to learn mathematical terms in their original form rather than through translation, so I've created lecture materials in English. However, classes are conducted in Korean, and the English proficiency required for the lectures is not high, so don't worry. Even if you find Calculus 2 at school difficult because it's taught in English, I believe this course will be helpful.

Please note before taking the class!

  • 😲 It takes at least 30 hours of effort to complete each course. I hate doing things half-heartedly.
  • 😪 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.
  • 🌱 The Calculus 1 course may be produced in the future upon request.

People like this will love hearing this!

  • college students (especially engineering students)
  • postgraduate student
  • People who want to learn math as a hobby
  • For those who want to know about differentiation of multivariable functions

Would you like to take this course too?

Math lectures by knowledge sharer Jo Beom-hee

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

Recommended for
these people

Who is this course right for?

  • For those who want to build a solid foundation in mathematics

  • For those who are new to vector calculus

  • Students preparing for advanced mathematics

  • Anyone who wants to use mathematical tools in engineering and science

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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

16 lectures ∙ (11hr 3min)

Published: 
Last updated: 

Reviews

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24 reviews

4.5

24 reviews

  • 민첩한 가자미님의 프로필 이미지
    민첩한 가자미

    Reviews 1

    Average Rating 5.0

    5

    100% enrolled

    고등학교 때 문과였는데 어쩌다 공대를 교차지원했어서... 미적분이 항상 힘들었는데 덕분에 너무너무 도움이 됐습니다. 예전에는 수학을 좋아했었는데, 나이 들수록 싫어졌는데(일이 되어서 그런지 싫어지더라고요) 들으면서 이해가 되니 속이 후련한 느낌입니다!! 저랑 너무 잘 맞는 강의였습니다. 모든 강의를 다 이해한건 아니라서;; 종종 다시 듣기를 해야할 것 같은데 평생 소유라서 너무 든든하네요! 강의 정말 감사합니다!!

    • 조범희 (타블렛깎는노인)
      Instructor

      평생 도움이 되는 강좌이길 바랍니다! 감사합니다!

  • seon lee님의 프로필 이미지
    seon lee

    Reviews 2

    Average Rating 5.0

    5

    100% enrolled

    기초부터 차근차근 상세히 설명해주셔서 쉽게 이해할 수 있는 것 같습니다.

  • HVNtest님의 프로필 이미지
    HVNtest

    Reviews 20

    Average Rating 4.6

    5

    100% enrolled

    ㅎㅎㅎ 선형대수학도 좋다고 생각했는데 이 수업은 더 재밌네요. 아직 초반 이라 그런지는 모르겠는데 재밌어요.ㅎㅎ 나중에 인공지능 공부하는데 도움이 크게 됬으면 좋겠어요.

    • 소중한 수강평 감사합니다. 앞으로도 재밌는 강좌 만들도록 노력할게요 ㅎㅎ 좋은 하루 되세요:)

  • 공대생님의 프로필 이미지
    공대생

    Reviews 1

    Average Rating 5.0

    5

    100% enrolled

    전기전자공학과를 지망하는 고등학생입니다. 평소에도 대학수학에 관심이 많았는데 이 강좌를 완강함으로써 첫 단추를 끼우게 되었습니다. 책에 나와 있는 모든 내용을 정말 꼼꼼하고 친절하게 설명해 주셔서 덕분에 개념을 하나도 빠짐 없이 짚고 넘어갔습니다. 연속이나 미분가능성처럼 고등학교 미적분(일변수미적분)과 겹치는 부분도 많은데 이런 것들 보면서 제가 놓치고 있었던 개념들을 복습할 수 있었습니다. 또한 설명할 때 행렬의 개념을 자주 사용하셨는데 덕분에 생소했던 행렬의 개념에도 익숙해질 수 있어서 좋았습니다. 다음 시리즈도 계속해서 수강할 예정입니다.

    • 감사합니다. 고등학생분이 벌써 이런 강좌를...! 열정에 박수쳐드립니다. 제 강좌가 조금이나마 도움이 된것같아서 뿌듯하기도 하네요. 소중한 수강평 정말 감사합니다. 앞으로도 유용한 강좌들 만들겠습니다! 감사합니다 :)

  • eg.jeong님의 프로필 이미지
    eg.jeong

    Reviews 3

    Average Rating 3.7

    5

    6% enrolled

    고교수학도 너무 오랜전이라 이 강좌를 듣게되다보니 한번봐서 이해가 바로바로 되진않지만, 그래도 꼼꼼하게 잘 설명해주다보니 혼자서 수학에 도전할때보다는 더 재미있게 할 수 있어서 좋군요. 현재 시리즈3까지 있던데, 몇달간은 재밌게 공부할 것같네요. 그리고 이 시리즈가 다 완성된후 그다음 강좌도 기대하겠습니다.

    • 정말 감사합니다!! 어떻게하면 내용을 잘 전달할 수 있을지 많이 고민하며 만들었습니다. 그래서 이런 수강평을 보면 너무 뿌듯하고 더 열심히 만들고 싶은 생각이 듭니다. 지금은 시리즈4를 열심히 만들고 있는데 마지막 시리즈까지 좋은 강좌 만들도록 노력하겠습니다. 아마 다음 강좌는 확통이 될 가능성이 많은데 기대해주세요. 그럼 좋은 밤 되시고 질문이건 개선사항이건 언제든 문의주셔도 됩니다. 소중한 수강평 다시 한번 정말 감사합니다!!

$34.10

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