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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) 6 reviews

476 learners

Level Basic

Course period Unlimited

  • tkn
Integral Differential
Integral Differential
Integral Differential
Integral Differential

Reviews from Early Learners

Reviews from Early Learners

5.0

5.0

송민호

100% enrolled

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

5.0

Shoon Kim

100% enrolled

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

5.0

강성훈

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.

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

6,360

Learners

180

Reviews

387

Answers

4.7

Rating

7

Courses

I love learning and teaching new things.
I hope to be of help to many people through Inflearn.

Areas of Expertise (+ Interests) 👨‍🎓 Major: Nuclear Engineering Mathematics: Introduction to Linear Algebra, Calculus, Vector Calculus, Applied Differential Equations, Applied Analytical Equations, Probability and Statistics

Areas of Expertise (+Interests) 👨‍🎓

  • Major: Nuclear Engineering
  • Mathematics: Introduction to Linear Algebra, Calculus, Vector Calculus, Applied Differential Equations, Applied Mathematical Analysis, Probability and Statistics, Numerical Analysis
  • Programming Languages: Fortran (including MPI, OpenMP), Javascript (nodeJS), C#, C++, Python, Solidity, …

Education

  • PhD: KAIST, Nuclear and Quantum Engineering, 2011 ~ 2016
  • Master's: KAIST, Nuclear and Quantum Engineering, 2009 ~ 2011
  • Bachelor's: KAIST, Nuclear and Quantum Engineering, 2005 ~ 2009
  • High School: Gyeonggi Science High School, 2003 ~ 2005

Experience

  • 2019 ~: Instructor at Inflearn
  • 2017 ~ 2018: Standard Energy, Chief Technology Officer (CTO)
  • 2016 ~ 2017: Standard Energy, Head of Special Research

Link

Curriculum

All

37 lectures ∙ (11hr 50min)

Published: 
Last updated: 

Reviews

All

6 reviews

5.0

6 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 :)

  • hkjung42161627님의 프로필 이미지
    hkjung42161627

    Reviews 5

    Average Rating 4.4

    5

    32% enrolled

    • jooyounglee936583님의 프로필 이미지
      jooyounglee936583

      Reviews 3

      Average Rating 5.0

      5

      32% enrolled

      $30.80

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