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Vector Calculus Series 2 - Advanced Differentiation: Foundations of Optimization Theory and Vector Functions

In this course, you will learn the basics of optimization theory for multivariable functions and acquire a general understanding of vector functions.

(5.0) 수강평 6개

강의소개.상단개요.수강생.short

난이도 중급이상

수강기한 무제한

Integral Differential
Integral Differential
Integral Differential
Integral Differential

먼저 경험한 수강생들의 후기

먼저 경험한 수강생들의 후기

5.0

5.0

soy_kim

71% 수강 후 작성

I finished listening to Series 1 and am studying Series 2. The best part is that you explain every little detail so I can grasp the concepts accurately, which is really great. If you look at the class materials, there are diagrams that show you the concepts, which are really helpful for understanding the concepts. I think this will be a really good lecture for those who want to study on their own. I can feel that you put a lot of effort into making this lecture, so I feel like I can't give it 5 stars, so I'm leaving a sincere review :) Can you make a probability and statistics course with the same quality in the future? I hope the integral series comes out soon..! Please do it. I'll definitely listen to it!

5.0

송민호

100% 수강 후 작성

Yeah, the content is really good.

5.0

유승후

49% 수강 후 작성

For engineering students, it's absolutely essential and the best for both organizing and studying. I also want to take graduate-level lectures.

강의상세_배울수있는것_타이틀

  • Higher order differentiation

  • Taylor expansion of multivariable functions

  • Finding the maximum and minimum values of a multivariable function

  • Optimization theory

  • Understanding arc length

  • Understanding Curvature

  • Understanding divergence

  • Understanding vector fields

Introduction to the 'Vector Calculus' series

Vector calculus is essential knowledge required in countless fields such as physics, engineering, AI, deep learning, computer graphics, and economics. However , the content is so vast that it is difficult to study alone. That is why I created this series to properly teach you only the essential content.

If you slowly conquer them one by one in the series, you too will be able to conquer vector calculus.
Vector calculus, which used to be boring and difficult, becomes easy 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 Current Course

  • 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

Vector Calculus Series 2: Foundations of Optimization Theory and Vector Functions

In Series 2, you will learn the theory of maximum/minimum of multivariable functions and the general theory of vector functions, building on the contents of Series 1.

  • You will learn the general theory of vector functions, which is necessary for learning the beautiful(!) theories that you will learn later in the integral series. You will also become familiar with the mathematical symbols used in numerous formulas in physics and engineering.

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

Q. Is prior knowledge required?
A. You should take my first lecture, <Vector Calculus Series 1>, and you should know most of the contents of Calculus 1. However, as you progress through the course, I will briefly review the necessary contents of Calculus 1, so you don't have to worry too much.

Q. Aren’t the lectures difficult?
A. The reason why Calculus 2, a subject learned in college, is difficult is simply because it is difficult to cover all the content in one semester. Since students have to study a lot on their own in a limited amount of time, it is bound to feel difficult. In this course, we will explain the parts that may seem difficult in as much detail as possible. I think those who have understood Calculus 1 and this lecture series 1 will be able to learn it without much problem.

Please note before taking the class!

  • 😲 It took me at least 30 hours of effort to complete each course. I hate doing things half-heartedly.
  • 😪 If you feel like the lecture is being spoken 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 questions, genealogy, etc. 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
Differentiation Basics
Integral Basics
Integral Enhancement

강의소개.콘텐츠.추천문구

학습 대상은 누구일까요?

  • College students (especially engineering students)

  • postgraduate student

  • For those who want to study Calculus 2

  • For those who want to know about differentiation of multivariable functions

  • For those who want to study the basics of optimization theory

  • Those who need to understand financial mathematics and mathematical economics

  • People who want to study mathematics as a hobby

선수 지식, 필요할까요?

  • Calculus 1

  • Vector Calculus Series 1

  • Linear Algebra (optional)

강의소개.지공자소개

6,390

수강생

180

수강평

387

답변

4.7

강의 평점

7

강의_other

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

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6개

5.0

6개의 수강평

  • designproc3651님의 프로필 이미지
    designproc3651

    수강평 4

    평균 평점 5.0

    5

    31% 수강 후 작성

    • pot12231232님의 프로필 이미지
      pot12231232

      수강평 6

      평균 평점 5.0

      5

      100% 수강 후 작성

      Yeah, the content is really good.

      • tkn
        지식공유자

        Yeah, I like the content too.

    • akayskim3397님의 프로필 이미지
      akayskim3397

      수강평 1

      평균 평점 5.0

      5

      71% 수강 후 작성

      I finished listening to Series 1 and am studying Series 2. The best part is that you explain every little detail so I can grasp the concepts accurately, which is really great. If you look at the class materials, there are diagrams that show you the concepts, which are really helpful for understanding the concepts. I think this will be a really good lecture for those who want to study on their own. I can feel that you put a lot of effort into making this lecture, so I feel like I can't give it 5 stars, so I'm leaving a sincere review :) Can you make a probability and statistics course with the same quality in the future? I hope the integral series comes out soon..! Please do it. I'll definitely listen to it!

      • tkn
        지식공유자

        Thank you so much for your valuable review!!ㅎㅎ I will continue to make helpful lectures in the future. Oh, I have roughly compared the textbooks since I received several requests for the exact same thing via email. First, I will finish the vector calculus series and think about what lectures to make.. I will also make the integral series as soon as possible. Thank you again!! Have a nice day!ㅎㅎ

    • jhkang8311231님의 프로필 이미지
      jhkang8311231

      수강평 7

      평균 평점 4.9

      5

      100% 수강 후 작성

      I enjoyed it a lot. After taking several math courses, I could tell that this course was definitely made with a lot of care. In particular, Units 3.3 and 3.4 were directly related to me, and I was able to review the basic content of those sections.

      • chhyoo58433님의 프로필 이미지
        chhyoo58433

        수강평 5

        평균 평점 5.0

        5

        49% 수강 후 작성

        For engineering students, it's absolutely essential and the best for both organizing and studying. I also want to take graduate-level lectures.

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