Logic: Elementary set theory; basic concepts in logic, logical arguments

and proofs.

Algebra: Binary operations; relations; functions; injective, bijective, and

invertible functions.

Real numbers: The natural numbers; induction; the axioms of the real

number system; solving inequalities.

  

Complex numbers: Complex arithmetic, the polar form of a complex

number; Argand diagrams; powers and roots of a complex number.

Vector, MAtrices and Linear Algebra: Vectors in 2 and 3 dimensions; vector

equations of lines and planes; dot products, cross products; solutions of

systems of linear equations, the Gaussian elimination algorithm; matrices

and matrix algebra; determinants, computing determinants.