Introduction to linear algebra
tkn
This course covers introduction to linear algebra, and you can master introduction to linear algebra through the lectures.
Basic
Linear Algebra
BEST
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).
Reviews from Early Learners
What you will gain after the course
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
- 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
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
6,269
Learners
172
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
16 lectures ∙ (11hr 3min)
Published:
Last updated:
Reviews
All
24 reviews
4.5
24 reviews
athran234169Reviews 1
∙
Average Rating 5.0
5
100% enrolledI was a liberal arts major in high school, but somehow I ended up cross-applying to an engineering major... Calculus was always hard for me, so this was really helpful. I used to like math, but as I got older, I started to dislike it (I think it was because of work). Now that I understand it while listening, I feel relieved!! This lecture was just right for me. I didn't understand all the lectures;; I think I'll have to listen to them again often, but I feel so secure because I'll own them for life! Thank you so much for the lecture!!
- tknInstructor
I hope this course will be helpful to you for the rest of your life! Thank you!
- zemssung4873
Reviews 2
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Average Rating 5.0
5
100% enrolledI think it's easy to understand because it explains everything in detail, starting from the basics.
- tknInstructor
Thank you for your valuable review.
- generalcode
Reviews 20
∙
Average Rating 4.6
5
100% enrolledHahaha I thought linear algebra was good, but this class is more fun. I don't know if it's because I'm still in the beginning, but it's fun. Hahaha I hope it will be a big help to me when I study artificial intelligence later.
- tknInstructor
Thank you for your valuable review. I will continue to work hard to create fun lectures. ㅎㅎ Have a nice day:)
- engineering123
Reviews 1
∙
Average Rating 5.0
5
100% enrolledI am a high school student majoring in electrical and electronic engineering. I have always been interested in college mathematics, and I was able to get started by completing this course. Thanks to the thorough and kind explanation of all the contents in the book, I was able to cover all the concepts without missing a single one. There are many parts that overlap with high school calculus (single variable calculus), such as continuity and differentiability, and by looking at these, I was able to review the concepts that I had missed. Also, the concept of matrices was often used in the explanation, so it was good that I was able to get used to the concept of matrices that were unfamiliar to me. I plan to continue taking the next series.
- tknInstructor
Thank you. A high school student is already taking this course...! I applaud your passion. I am glad that my course was of some help. Thank you so much for your valuable review. I will continue to make useful courses! Thank you :)
- eugene
Reviews 3
∙
Average Rating 3.7
5
6% enrolledIt's been a long time since I took high school math, so I'm taking this course, so I don't understand it right away after watching it once, but since it's explained thoroughly, it's more fun than when I try to challenge math on my own, so it's good. There are currently 3 series, so I think I'll have fun studying for a few months. And after this series is completed, I'm looking forward to the next course.
- tknInstructor
Thank you so much!! I thought a lot about how to convey the content well when I made it. That's why I'm so proud when I see these reviews and it makes me want to work harder. I'm working hard on Series 4 right now and I'll try to make good lectures until the last series. The next lecture will likely be a success, so please look forward to it. Have a good night and feel free to contact me with any questions or suggestions for improvement. Thank you again for your valuable review!!
$34.10
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