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Learner Reviews & Feedback for Vector Calculus for Engineers by The Hong Kong University of Science and Technology

4.8
stars
1,313 ratings

About the Course

This course covers both the theoretical foundations and practical applications of Vector Calculus. During the first week, students will learn about scalar and vector fields. In the second week, they will differentiate fields. The third week focuses on multidimensional integration and curvilinear coordinate systems. Line and surface integrals are covered in the fourth week, while the fifth week explores the fundamental theorems of vector calculus, including the gradient theorem, the divergence theorem, and Stokes' theorem. These theorems are essential for subjects in engineering such as Electromagnetism and Fluid Mechanics. Note that this course may also be referred to as Multivariable or Multivariate Calculus or Calculus 3 at some universities. A prerequisite for this course is two semesters of single variable calculus (differentiation and integration). The course includes 53 concise lecture videos, each followed by a few problems to solve. After each major topic, there is a short practice quiz. At the end of each week, there is an assessed quiz. Solutions to the problems and practice quizzes can be found in the instructor-provided lecture notes. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/vector-calculus-for-engineers.pdf Watch the promotional video from the link https://youtu.be/qUseabHb6Vk...

Top reviews

DK

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.

BP

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.

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301 - 325 of 363 Reviews for Vector Calculus for Engineers

By Àngels B

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May 27, 2022

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By Mohammed S

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May 24, 2020

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By Pablo L

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Jun 8, 2020

I took the course as complementary material to my vector calculus class, since I felt many things were skipped and not talked about in my class. I enjoyed that the course encourages you to do derivations and practice by yourself, however, I felt certain problems should have been talked about in the lectures.Vector calculus is a course that deserves more than 4 weeks, however I can understand the time requirements. So overall, the course is good but you will need other resources to fully understand some problems and derivations. For someone like me who was never introduced to Kronecker Delta, Levi Cevita and many many derivations, this was a rewarding but challenging course.

By Sarah K

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Aug 20, 2020

All in all well-run class. Videos were for the most part clear and well-diagrammed, and organized in a way that made sense. Got a good sense of the basics of vector calculus, since we used divergence/curl etc in problems repeatedly after we learned them.

Several sections relied on outside knowledge - for example, the applications to electric/magnetic fields, particularly in the fourth week, was really hard to understand for someone with only a Calc 2 background.

By Jim W

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Sep 25, 2023

This course covers a great deal of difficult material effectively presented with practice problems that are huge help in developing a broad understanding of the subject. I particularly appreciated the efforts to tie the math to real world physics problems, which is both more enjoyable and easier to understand. The only reason for 4 stars is that I think the amount and challenge of the material is too much for most people to fully digest in the time allowed.

By Tom B

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Oct 22, 2022

This was a really good course. The lectures were really good. The materials were good. The one improvement for me would be a wider selection of elementary problems in order to get used to the concepts. During the last two weeks of the course, I had to do a fair amount of outside work to build up the skills I needed to do the reading problems.

By Peter B

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Aug 16, 2020

This class was a very interesting class, but that may be due more to the fact that I am very interested in math than to anything the instructor did. However, I would have appreciated if this class went into more depth about the more abstract, mathematical side of vector calculus, instead of being so laser-focused on practical applications.

By Andrew D

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Jun 16, 2020

A difficult course, especially week 3. Two lectures - 24 minutes - on line and surface integrals over vector fields is just not long enough - needs more intuition. I can recommend Clark Brays multivariable calculus book for the intuition. Still not sure how I scraped a pass - worth doing though and thoroughly enjoyed as always.

By Saman M

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Jul 9, 2020

Lectures and accompanying pdf notes are clear, but proofs are sketchy. More worked examples would be helpful (perhaps in the accompanying pdf with solutions). Requires a solid background in linear algebra and calculus. Worth taking, particularly if you want to review this material.

By Idorenyin U I

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Jul 14, 2020

The beginning was easy and seemed that the rest of the course would be easy, but as you keep on, it gets tougher and harder and only the tough can keep going untill you get to a point where it becomes easy once more to you.

By Jose R F

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Apr 22, 2020

Some additional time for some concepts would be needed, but in general, a really interesting course. Learnt some new "things" that I hardly knew from my old studies. Congratulations to you too for the course.

By Usman E G

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Aug 4, 2020

It was a hard course for me, I don't think the math I did in high school was foundational enough for me to understand this course. I suggest doing some fundamental math courses before attempting this course.

By Hayford A A

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Jul 11, 2020

The quizzes and the practice quizzes were a bit challenging. I feel like the videos need more explanations that can help understand some problems in the quizzes. But in all I felt challenged to learn more.

By Kodi O

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Jul 18, 2020

It was great, the professor did a great job in explanation, but at the same time, he didn't explain further with examples for some topics which made it really challenging for me to understand.

By Jose M B D

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Apr 10, 2021

It was exciting and challenging more than anything when you already saw something at school then you reinforce it or learn something new, you even put into practice what you know

By simon w

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Mar 1, 2021

excellent videos; good problems; unusual to get a series of high quality notes to download. I found the final section demanding and I will need to review this section.

By Abir M

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Jul 25, 2020

Very good course with difficult problems. Very good instructor. Needs to provide a bit more geometric intuition to the sections involving vector integral calculus.

By Jose R H P

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Apr 13, 2020

prof. Chasnov explains really goodand all the topics are presented in a well structured way. I wouldn't recommend this course for learn vector calculus from zero

By Srivatsan R

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May 4, 2020

Great course all around. Just one suggestion would be to solve at least 1 example of each type of theorem if possible as it makes problem solving much easier.

By Anyiam O O

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Jul 9, 2020

It was a very educating course on various theorems, proof of laws, various subtopics on integration and differentiation. I would highly recommend the course.

By Peter B

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Mar 9, 2020

A well thought out and organized course. A great tool to refresh or learn vector calculus and more importantly it's uses in engineering fields.

By Alejandro M

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Jul 15, 2020

A short and very complete course of vector calculus, it takes the most important thing to be seen in almost a month.

By KARTHIK

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Jul 16, 2020

It was challenging to study vector calculus for futher complicated engineering. Made very useful for furthur.

By Mohammad Y A

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Aug 2, 2021

The course was nice. However, the pace was sometimes faster than appropriate and other slower.

By Jeremiah Z W

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Oct 4, 2020

Given the imposed time constraint, it is a well taught course on multivariable calculus.