Mathematics I

Course Code
μαθ-1
ECTS Credits
6
Semester
1st Semester
Course Category

Core courses

Core courses

Specialization
Core Courses
Course Description
COURSE CONTENTS

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

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%.