## We studied vectors:

- Properties of Vectors (direction, magnitude)
- Vector coordinates (Cartesian, spherical, cylindrical)
- Vector operations (multiplication, scalar product, vector product)
- Vector transformation

## We discussed the properties of the vector operator:

- Used in differential calculus (gradient, divergence, curl)
- Used in second derivatives (the divergence of a gradient or Laplacian, the curl of a gradient, the gradient of a divergence, the divergence of a curl, the curl of a curl)

## Other topics:

- The Dirac-Delta function
- The Helmholtz Theorem
- Scalar and Vector Potentials

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