![Certificate Vector Calculus for Engineers](https://kzhu.ai/wp-content/uploads/2021/12/Coursera-5J9M3UBGSGSX-1024x791.jpg)
My #81 course certificate from Coursera
Vector Calculus for EngineersThe Hong Kong University of Science and Technology We can’t emphasize enough the importance of...
![Gradient theorem, Conservative vector fields](https://kzhu.ai/wp-content/uploads/2021/12/Vector-Calculus-28-724x1024.jpg)
Vector Calculus: Fundamental Theorems
Gradient Theorem The fundamental theorem of single variable calculus was the one that told you “the integral of the...
![Line integrals of scalar fields, Line integral of vector fields](https://kzhu.ai/wp-content/uploads/2021/12/Vector-Calculus-24-724x1024.jpg)
Line and Surface Integrals
Line Integrals Scalar Fields We have a curve C in the x-y plane, we can represent a point...
![Double triple integrals, Polar coordinates](https://kzhu.ai/wp-content/uploads/2021/12/Vector-Calculus-16-724x1024.jpg)
Polar, Cylindrical, Spherical Coordinates
Multidimensional Integration In Vector Calculus, we have to worry about integrating over two or three variables: double integrals...
![Partial derivatives, Least squares, Chain rule, Triple product rule](https://kzhu.ai/wp-content/uploads/2021/11/Vector-Calculus-7-724x1024.jpg)
From Partial Derivatives to Maxwell’s Equations
Partial derivatives Partial derivative is to differentiate functions of multiple variables. Assume a function f = f(x, y),...
![Cartesian coordinates. Dot product. Cross product. Analytic geometry: line.](https://kzhu.ai/wp-content/uploads/2021/11/Vector-Calculus-2-724x1024.jpg)
Vector Calculus: Basics
Vector Calculus is also known as Multivariate Calculus or “Calculus 3”. Calculus 1 and 2 are Differential Calculus...