KO
5.0Reviewed Jun 27, 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
Vector Calculus for Engineers
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
Status: Calculus
Status: Integral Calculus
BeginnerCourse30 hours
Featured reviews
IA
5.0Reviewed Jan 8, 2021
A superbly presented course with excellent notes and examples. I will be using a number of concepts to extend my Advanced Programme Math classes I teach. Thank you!
BP
5.0Reviewed 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.
GM
5.0Reviewed Jan 25, 2021
Excellent course for reviewing undergraduate vector calculus, including gradient, divergence, curl and Laplacian, all the way to Stokes' Theorem and Maxwell's Equations.
JS
5.0Reviewed Apr 19, 2021
Thanks Prof. Chasnov for this course, which I truly enjoyed. Great videos, and very handy PDF file with the Lecture Notes. Much appreciated at this side of the screen. Pepe
AO
5.0Reviewed Aug 1, 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.
SW
4.0Reviewed Feb 28, 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.
GR
5.0Reviewed Jan 4, 2021
Great course, with challenging but motivating problems and explanations. I had to rework the problems by myself, and by the end of the course, I could see everything come together
NL
5.0Reviewed 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.
RB
5.0Reviewed May 3, 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.
PK
5.0Reviewed 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.
SL
5.0Reviewed May 26, 2021
Well taught, high-paced. It needs effort to understand the material but there is nothing wrong with that. Much clearer than in my first degree, which was many years ago!