Linear algebra and robotics

• Rotations in 2D as coordinate transformations
  Dot product, coordinate systems, matrices, basic goniometry.

• Coordinate transformations and their Jacobians
  Basic goniometry, partial differentiation, Jacobian, matrices, determinant.

• Car representation for motion planning
  Coordinate systems, rotations, translations.

• Using (complex) eigenvalues to determine rotation axes
  Eigenvalues, eigenvectors, coordinate transformations, complex numbers, unitary matrices.