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 Calculus or Calculus Three. Two semesters of single variable calculus is a typical prerequisite.
This course contains 42 short lecture videos, with a few problems to solve after each lecture. After each topic, there is a short practice quiz. Solutions to the problems and practice quizzes can be found in instructor-provided lecture notes. There are four weeks to the course, and at the end of each week there is an assessed quiz.
The course covers 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.
Lecture notes at
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Vector Calculus for Engineers – The Hong Kong University of Science and Technology