Linear algebra
Matrices, vectors, vector spaces, transformations, eigenvectors/values. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

Subtopics

  1. Vectors and spaces Vectors and spaces
  2. Matrix transformations Matrix transformations
  3. Alternate coordinate systems (bases) Alternate coordinate systems (bases)