This course is about vector calculus, and covers material that all engineers should know. 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) is a typical prerequisite.
We will 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 final 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.
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...

篩選依據：

創建者 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.

創建者 Arthur Z

•Jan 24, 2020

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

創建者 Weiqi L

•Jan 18, 2020

The content is not too difficult and very useful for self-learning.