선형대수학개론
조범희 (타블렛깎는노인)
이 강좌에서는 선형대수학개론을 다루며, 강의를 통해 선형대수학개론을 마스터할 수 있습니다.
초급
선형대수학
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 learn!
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?
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Utilizing Numpy and SciPy
Differentiation Basics
Integral Basics
Integral Enhancement
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)
6,137
Learners
168
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
soy_kimReviews 1
∙
Average Rating 5.0
5
71% enrolled시리즈1 다 듣구 시리즈2로도 이어서 공부하고 있어요. 가장 좋은 부분은 세세한 것 까지 꼼꼼하게 설명해주시니까 개념을 정확하게 짚을 수 있어서 넘 좋아요. 수업 자료 중에 보면 도식화해서 보여주시는 그림들이 있는데 이게 개념 이해에 큰 도움이 돼요. 혼자 독학하시려는 분들한테도 정말 좋은 강의가 될 것 같아요. 정성 들여 만드신 강의라는게 느껴져서 별 5개 만으로 평가하기엔 왠지 그래서ㅎㅎ 저도 정성스럽게 수강평 남겨봅니다 :) 같은 퀄리티로 나중에 확률 통계 강좌도 만들어주실 수 있을까요? 적분 시리즈도 빨리 나오면 좋겠어요..! 꼭 부탁드립니다. 무조건 들을게요!
- 조범희 (타블렛깎는노인)Instructor
소중한 수강평 정말 감사합니다!!ㅎㅎ 앞으로도 도움이 될만한 강좌를 만들도록 하겠습니다. 아참, 확통은 안그대로 이메일로도 몇분에게 요청이와서 추후에 만들 생각으로 교과서들은 대충 비교해놨습니다. 우선 벡터미적분학 시리즈가 다 완성이 되고, 어떤 강좌를 만들지 고민을 해봐야겠네요.. 적분시리즈도 최대한 빨리 만들어보겠습니다. 다시 한번 감사합니다!! 좋은 하루 되세요! ㅎㅎ
- 송민호
Reviews 6
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Average Rating 5.0
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Average Rating 5.0
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- designproc
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