Vector Calculus Series 1 - Differentiation Basics
tkn
This course will provide students with a solid foundation in the fundamentals of differentiation in vector calculus (Calculus 2).
초급
Integral Differential
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.
Reviews from Early Learners
What you will gain after the course
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
- 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
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Recommended for
these people
Who is this course right for?
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
Need to know before starting?
Calculus 1
Vector Calculus Series 1
Linear Algebra (optional)
6,274
Learners
174
Reviews
387
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
- 블로그: https://blog.naver.com/bumhee34
- 유튜브: https://www.youtube.com/channel/UCsaTZaR2itIeT0eVHPi1_cw
- 이메일 bumhee34@gmail.com
Curriculum
All
45 lectures ∙ (13hr 4min)
Published:
Last updated:
Reviews
All
6 reviews
5.0
6 reviews
akayskim3397Reviews 1
∙
Average Rating 5.0
5
71% enrolledI 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!
- tknInstructor
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
- pot12231232
Reviews 6
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Average Rating 5.0
- chhyoo58433
Reviews 5
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Average Rating 5.0
- jhkang8311231
Reviews 7
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Average Rating 4.9
- designproc3651
Reviews 4
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Average Rating 5.0
$42.90
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