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学生对 香港科技大学 提供的 Vector Calculus for Engineers 的评价和反馈

1,205 个评分
324 条评论


This course covers both the basic theory and applications of Vector Calculus. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about multidimensional integration and curvilinear coordinate systems. The fourth week covers line and surface integrals, and the fifth 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 contains 53 short lecture videos, with a few problems to solve following each lecture. 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 five weeks to the course, and at the end of each week there is an assessed quiz. Download the lecture notes: Watch the promotional video:



May 22, 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 14, 2021

Professor Chasnov is a great instructor. I strongly recommend this course (and others from his). Thank you so much for making such great quality content available for everyone no matter where.


51 - Vector Calculus for Engineers 的 75 个评论(共 328 个)

创建者 RLS

Aug 2, 2020

This is a very good course. It covers a lot of ground in a clear manner but it don't think they have allowed enough time for students to get fully familiar with something before the course moves on to the next topic. Each of the last two weeks should be expanded to two week each.

创建者 TJ L

Mar 9, 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 Kazem A

Apr 13, 2021

Very good and well--organized course accompanied with concise and useful notes. It is just a bit too much to be completed in five weeks compared to many other Coursera courses. I would like to thank Professor Chasnov for the time and effort he has invested in this useful course.

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 Tadeo A

Oct 21, 2020

Este curso es una excelente fuente de información.

Los temas son variados y están muy bien enseñados, con una profundidad muy adecuada.

A pesar de que en ciertos momentos puede hacerce desafiante, es un gran curso para aprender sobre cálculo vectorial.

创建者 Robert B

Dec 4, 2020

This is a good course for the more practical students. It is well titled "for Engineers", but also provides a good basis for going on to other courses that might delve deeper into the more developmental and proof oriented vector calculus material.


Nov 22, 2020

I loved this course. Especially the application of vector calculus in fluid mechanics and electrodynamics and the physical meaning of divergence and curl were excellent. Thanks a lot, Prof Chasnov for this superb course. Forever indebted to you.


Aug 29, 2020

It is a good course of vector calculus, but I think it is helpful mainly for students who have already taken this course before. Overall, I enjoyed this course. (Sorry if my writing has some mistakes, English is not my native language).

创建者 Weli R R

Aug 11, 2020

i really enjoyed the course as it was explained to my detailed understanding. i learned a lot from this course as a mathematics student. Thank you for this great lecture. my name is Rikenga Weli and i am a student of covenant univeristy.

创建者 Stephen M

Aug 13, 2020

Well presented; concise with examples; suitable for Physics undergrads in addition to Engineering students; the extensive PDF "book" with everything from the lectures + practice quizzes and worked answers makes an invaluable resource.

创建者 Alex W

May 9, 2022

A​nother excellent course with Dr. Chasnov. It's a difficult subject, but Dr. Chasnov did a great job of breaking it up into manageable segments, as well as making the connections between the material and engineering applications.

创建者 Holger W

Jul 28, 2020

Very good course, clear explanations, helpful examples and exercises and on top an excellent tutorial!

Trainer is very good in explaining these mathematical concepts. One of the best online courses I came across so far :-)

创建者 Valeria I C M

Nov 27, 2021

Un curso muy completo, recomentable para todos aquellos que estudian ingenieria, bien estructurado y retoma conocimientos primordiales de primeros cursos de calculo diferencial, integral, multivariable tambien

创建者 Luiz F S A d C

Feb 13, 2021

All the aplications and tools are so impressive, the Krocecker Delta and Levi-Civitta symbow change my way to calculate...the best methematic knowledge for engineers....a strong base for the future projects.

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 Ng T E

Dec 2, 2020

Very difficult course, but at least provides a better picture of what to really expect from Vector Calculus. The sections on Applications provide a better understanding of why Vector Calculus is important.

创建者 Kevin Y

Nov 23, 2020

The instructor was awesome with regards to his ability to clearly explain the content! He displayed a wonderful sense of humor. I have a much greater appreciation of vector calculus and its applications.

创建者 Dr.J.Uma

Jun 1, 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


Nov 18, 2020

According to what I have seen in this course, I feel satisfied and at the same time grateful since it was of great importance for my learning since I reinforced many topics and clarified some of my doubts

创建者 Prashant K

Jul 20, 2021

Great abstraction, loved the course -- keeping pouring in your knowledge Professor. And tie in Vector calculus with vector spaces, would be awesome. Waiting for some reply on the last part.

Thank You!!!

创建者 David S M B

Aug 30, 2021

Es un curso muy bueno para afianzar la materia de calculo en varias variables, no es complicado y no tiene un nivel muy alto pero es útil para repasar la teoría y ver algunas aplicaciones útiles.

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 Ben P

May 15, 2021

Professor Chasnov is a great instructor. I strongly recommend this course (and others from his). Thank you so much for making such great quality content available for everyone no matter where.

创建者 Nguyen D L

Dec 5, 2021

Great overview of Vector Calculus, I have confidence to tutor my son on this subject now. It's been many decades since I first learn the subject. Prof Chasnov made the class very clear.

创建者 Hayyim D R R

Sep 27, 2020

This course help me to understand a lot of problems on three dimensions, I'm from Mexico, and I study Computer Engineering, I will recommend this course to my classmates and friends.