Course contents: Part A, Mathematical Analysis: Basic topology concepts, Real numbers, Sequences, Series, Functions of one variable (limit, continuity etc), Derivatives, Definite and indefinite integral, Power series, Taylor expansions.
Part B, Algebra and Linear Algebra: vectors, matrices, characteristic polynomials, linear system solving, vector spaces, bases, inner product, orthogonal spaces, eigenvectors. Algebraic structures, polynomials, finite fields and extensions, irreducible and primitive polynomials, polynomial factorization, trace and norm functions.

Assessment: Written exams at the end of the semester. It is possible that home assignments will be given, which will contribute to the final grade with a percentage ranging between 25% and 30%.