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
Vector Calculus Series 2 - Advanced Differentiation: Foundations of Optimization Theory and Vector Functions
Through this course, you will learn the basics of optimization theory for multivariable functions and gain a comprehensive understanding of vector functions.
(5.0) 6 reviews
610 learners
Level Intermediate
Course period Unlimited
Integral Differential
Integral Differential
Integral Differential
Integral Differential
Reviews from Early Learners
Reviews from Early Learners
5.0
5.0
soy_kim
71% enrolled
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% enrolled
Yeah, the content is really good.
5.0
유승후
49% enrolled
For engineering students, it's absolutely essential and the best for both organizing and studying. I also want to take graduate-level lectures.
What you will gain after the course
Higher-order derivatives
Taylor expansion of multivariable functions
Finding the maximum and minimum values of multivariable functions
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, including physics, engineering, AI, deep learning, computer graphics, and economics. However, the content is so vast that it is difficult to study alone. That's why I created this series to select and properly teach only the most necessary information.
If you conquer each series slowly one by one, you too will be able to master vector calculus.
Vector calculus, which used to feel boring and difficult, becomes easy through this course! 👊
The series is structured as follows.
Series 1 - Basics 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
- Chapter 5 Double and Triple Integrals
- Chapter 6 The Change of Variables Formula
Series 4 - Advanced Integration
- Chapter 7 Integral Over Paths and Surfaces
- Chapter 8 The Integral Theorems of Vector Analysis
Vector Calculus Series 2: Basics of Optimization Theory and Vector Functions
In Series 2, based on the content of Series 1, you will learn the theory of maxima and minima for multivariable functions and the general theory of vector functions.
- You will learn the general theory of vector functions, which is essential for understanding the beautiful(!) theories covered in the subsequent integration series. Additionally, you will become familiar with the numerous mathematical symbols used in various physics and engineering formulas.
Shall we take a look at some things you might be curious about regarding the course? 🙋♂️
Q. Is any prior knowledge required?
A. You need to have taken my first course, <Vector Calculus Series 1>, and should be familiar with most of the content from Calculus 1. However, don't worry too much, as I will briefly review the necessary concepts from Calculus 1 as we progress through the course.
Q. Isn't the lecture difficult?
A. The reason the Calculus 2 course taught at universities feels difficult is purely because it is hard to cover all the content in a single semester. It inevitably feels difficult because students have to study many parts on their own within a tight timeframe. In this course, I explain the parts that might feel difficult in as much detail as possible. I believe that those who understand Calculus 1 and Part 1 of this lecture series will be able to learn without any major issues.
Please note before taking the course!
- 😲 Each lecture was completed with at least 30 hours of effort. I don't like doing things halfway.
- 😪 If the speaking pace in the lecture feels slow, I recommend watching at 1.25 to 1.5x speed.
- 🙋♂️ Please feel free to let me know anytime if you have any questions or suggestions for improvement.
- 😫 Questions regarding personal homework, exam problems, or past exam papers outside of the course content will not be accepted.
Would you like to try this course as well?
Mathematics Lectures by Knowledge Sharer Bumhee Cho
Introduction to Linear Algebra
Linear Algebra Using Python
Applications of Numpy and SciPy
Applications of Numpy and SciPy
Basics of Differentiation
Basics of Integration
Advanced Integration
Recommended for
these people
Who is this course right for?
University students (especially engineering students)
Graduate student
Those who wish to study Calculus 2
Those who want to learn about the differentiation of multivariable functions
Those who wish to study the basics of optimization theory
Those who need an understanding of financial mathematics and mathematical economics
Those who want to study mathematics as a hobby
Need to know before starting?
Calculus 1
Vector Calculus Series 1
Linear Algebra (Optional)
Hello
This is tkn
6,440
Learners
181
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
- Blog: https://blog.naver.com/bumhee34
- YouTube: https://www.youtube.com/channel/UCsaTZaR2itIeT0eVHPi1_cw
- Email bumhee34@gmail.com
Curriculum
All
45 lectures ∙ (13hr 4min)
Published:
Last updated:
Reviews
All
6 reviews
5.0
6 reviews
chhyoo58433Reviews 5
∙
Average Rating 5.0
- akayskim3397
Reviews 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
∙
Average Rating 5.0
- designproc3651
Reviews 4
∙
Average Rating 5.0
- jhkang8311231
Reviews 7
∙
Average Rating 4.9
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