Algebra

Course objectives

At the end of the class, students will have a basic knowledge of: - group theory, - algebraic structure of some simple types of groups, - resolution of systems of linear equations, - diagonalisation of linear operators on finite dimensional vector spaces. At the end of the class, students will be able to: - make calculations inside a group, - solve systems of linear equations, - find eigenvalues and eigenvectors of linear operators.

Channel 1
Nicola Apollonio Lecturers' profile

Program - Frequency - Exams

Course program
Arithmetic: relations on a set; integers and divisibility; Euclidean division; Bezout's identity; the greatest common divisor; the fundamental theorem of arithmetic; congruences modulo an integer; the ring of residue classes; the Chinese remainder theorem; Euler-Fermat's theorem. Linear algebra: systems of linear equations over a field; Gauss elimination method; linear hulls; vector spaces and subspaces; linear applications between vector spaces; the dimension theorem; diagonalizability of endomorphisms.
Prerequisites
Only the mathematical skills acquired in the first-year maths courses.
Exam mode
The exam consists of six exercises: three arithmetic and three linear algebra.
  • Lesson code1015886
  • Academic year2025/2026
  • CourseComputer Science
  • CurriculumSingle curriculum
  • Year2nd year
  • Semester1st semester
  • SSDMAT/02
  • CFU9