- Functions, Injections, Surjections, Bijections, Cardinality, Countable, Uncountable sets. Relations and Equivalence relations.
- Vectors (addition, scalar multiplication),linear subspaces, linear independence, span, basis, dimension, coordinates of a vector w.r.t. a basis.
- Matrix addition, scalar product, matrix product, symmetric, anti-symmetric, triangular, diagonal matrices, left and right inverses, invertible matrices.
- Linear transformation, projection, inclusion, composition of linear maps, invertible linear maps, associated matrices.
- Systems of linear equations, row reduced echelon form, computing matrix inverses.