返回到 Vector Calculus for Engineers

4.8

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438 个评分

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123 条评论

We cover both basic theory and applications. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about integrating fields. The fourth week covers the fundamental theorems of vector calculus, including the gradient theorem, the divergence theorem and Stokes’ theorem. These theorems are needed in core engineering subjects such as Electromagnetism and Fluid Mechanics.
Instead of Vector Calculus, some universities might call this course Multivariable or Multivariate Calculus or Calculus 3. Two semesters of single variable calculus (differentiation and integration) are a prerequisite.
The course is organized into 42 short lecture videos, with a few problems to solve following each video. And after each substantial topic, there is a short practice quiz. Solutions to the problems and practice quizzes can be found in instructor-provided lecture notes. There are a total of four weeks to the course, and at the end of each week there is an assessed quiz.
Lecture notes can be downloaded from
http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf...

May 23, 2020

i have completed Three courses of Professor Jeffrey. I'm so happy that i learnt a lot from him. Thanks to our professor Jeffrey and thanks to The Hong Kong University of Science and Technology.

May 04, 2020

This course is very well organized and well explained. I am very much thankful to Prof Jeffrey R. Chasnov for his fruitful videos which help us to update our knowledge in this area.

筛选依据：

创建者 Stephan L

•Feb 17, 2020

Well designed and implemented. Lecturer presents the material well and the notes are a model of what MOOC course notes should be like. Lot's of practice problems with sample solutions to work on which for a technical course like this is the only way you'll learn the material. My thanks to Professor Chasnov for putting in the work to create this.

创建者 subhasree b

•Jan 30, 2020

teaching is very extraordinary. I wish to have some more assignments, but it is quite well.

创建者 Ian B

•Jan 24, 2020

Jeffrey Chasnov has a good command of the subject and is a good communicator. The course is well laid out and his PDF textbook is a great resource for the course and will be useful to the student for future work in mathematics and the sciences.

创建者 Smita S N

•May 25, 2020

The course was very systematically designed. It gave us practice problems once the concept is covered. But 4th module was a bit tough. The professor taught it excellently.

创建者 Vaishnavi S A

•May 13, 2020

This course is very helpful . The instructor Sir were very clear in their explanations . The knowledge he gave is very useful . Overall course design is also great.

创建者 Hrishabh S

•May 25, 2020

Really good instructor. Explains every concept patiently and clearly in a lucid language. The course really strengthened my calculus foundations. Loved it!

创建者 V V V S S P S S

•Apr 15, 2020

This material is very useful for our career, I liked gauss divergence and stokes theorems and applications.

创建者 Arthur Z

•Feb 26, 2020

Very high-quality instruction and documentation from a very talented instructor.

创建者 ka

•Feb 16, 2020

Excellent course on the subject.

创建者 SMJ

•Jun 15, 2020

In my humble opinion every engineer should take this course. The instructor is highly organized and presents the concepts in a facile manner. I have become a fan of his creative teaching methodology. I hope he keeps benefiting all by offering courses in some other useful topics like partial differential equations, integral transforms, complex variables, tensors, ... Thank you tons Professor Chasnov. I wish the BEST comes your way for such dedicated service to the world community! God bless you.

创建者 Brendon L

•Jun 03, 2020

Professor Chasnov is a gifted lecturer with a gift for delivering intuitive and accessible explanations of some very abstract mathematical concepts. The course notes he provides are likewise quite excellent. One of my favorite features of this course is that it focuses on teaching you how to actually *do* problems in vector calculus. You'll learn a lot if you take and finish this course.

创建者 Nihaar T

•Jun 24, 2020

This is a magnificent and top-notch course! The professor is very student-friendly and explains all the concepts in very good detail. Even difficult topics are made to look easy. The structure, organization, content and the flow of the course are very well-maintained and excellently planned. Overall, it is a course I would recommend to everyone trying to learn Vector Calculus.

创建者 Arowosegbe D O

•Jun 26, 2020

The course topics were arranged accordingly to help students understand each of them completely using knowledge from previous topics and also serving as a sort of revision for previous topics. The lecture also had examples that made it easier to understand the topics and layout for the course. The questions were okay and reliable feedback after submission.

创建者 SCHIFFMANN

•May 01, 2020

It has been a pleasure to study with prof Chesnov. I had difficulties to deal with Einstein Sommation Convention (the fundamental rules of this game were not explicitly given, I found them some other place) and to get some gradient calculus in spherical coordinates.

But as I said, the total amount of joy exceeds the sum of the pains!

Thank you

创建者 Chloe M G

•Jun 04, 2020

brilliant teaching style and the professor makes the hardest of concepts easier to grasp. Would recommend 10/10 to anyone who is going to/has done engineering at university, as this helped me finally understand concepts of degree i was doing that i just could not understand with the university explanations.

创建者 Navneet R

•Jun 17, 2020

Absolutely loved this course by Prof. Jeff Chasnov. Being an engineering undergraduate student i found it difficult to grasp the concepts of the vector calculus class i had at mt University. This course greatly helped me bridge that gap and rekindle my confidence in multi variable calculus.

创建者 TJ L

•Mar 09, 2020

Awesome course! I could have used more detail in the solutions given for some of the derivations at the end. This might just be because I haven't taken any physics yet. This course was a huge help in getting a handle on the divergence theorem, Green's theorem and Stokes' theorem!

创建者 Timur C

•May 27, 2020

Lectures notes came very handy, a lot of good stuff there. Prof. Chasnov compresess information to the core essentials so i recommend using some complementory material as you pass his course. Overall great experience looking forward for his diff equations course!

创建者 Vishwajeet V K

•Jun 16, 2020

The content is excellent for a four week course. The technique of delivery is awesome. Learner doesn't lose interest at any point. It also gives insights about the application of the multi-variable calculus.

创建者 Dr.J.Uma

•Jun 01, 2020

This course was very useful and In a very short duration this subject covers all important aspects. We could understand it very easily because of the clear and easy explanation from the expert instructor

创建者 Dr. A K

•May 23, 2020

i have completed Three courses of Professor Jeffrey. I'm so happy that i learnt a lot from him. Thanks to our professor Jeffrey and thanks to The Hong Kong University of Science and Technology.

创建者 Ravikumar B

•May 04, 2020

This course is very well organized and well explained. I am very much thankful to Prof Jeffrey R. Chasnov for his fruitful videos which help us to update our knowledge in this area.

创建者 Sree K T

•Jun 26, 2020

I understood many useful concepts in this course, along with the applications was great piece !

Feels like filled with super power of calculus after completing this course ...

创建者 OGEGE O C

•Jun 28, 2020

THE LECTURER WAS SO AMAZING AND EVEN THOUGH I WASN'T IN A FACE TO FACE REAL LIFE CLASS WITH HIM, EVERYTHING WAS STILL DETAILED LIKE A REAL CLASSROOM SETTING WOULD HAVE BEEN

创建者 UMAR T

•Feb 16, 2020

Excellent Instructor. He well explained all the concepts. The problems related to stokes theorem, divergence theorem, Maxwell's Equations were challenging.