Chapter 1That’s it!

• 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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