نظرة عامة على البرنامج

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ALGEBRA

Course Details

• Code: 73027
• Academic Year: 2025/2026
• CFU: 6
• Sector: MAT/02
• Language: Italian
• Location: Genova
• Period: 1st Semester
• Fractionation: This course is divided into fractions A and B
• Modules: This course is a module of Algebra and Logic for Informatics

Educational Objectives

The objectives of this course are to:

• Acquire familiarity with abstract algebraic reasoning and the ability to identify similar structures in different environments
• Acquire the ability to formalize problems that involve operations on sets in a mathematically correct way

Detailed Educational Objectives and Learning Outcomes

By the end of the module, students should:

• Acquire familiarity with logical-deductive mathematical reasoning
• Learn the fundamental and foundational concepts of modern mathematics (sets, functions, natural numbers, cardinality)
• Know and be able to use some important results of discrete mathematics and their applications in the computational field (Euclidean algorithm, modular arithmetic)
• Learn to recognize and distinguish simple algebraic structures (monoids, groups)

Prerequisites

Knowledge of literal calculation at a school level and basic concepts of trigonometry.

Teaching Methods

Frontal lessons and exercises.

Program/Content

1. Basic notions
   • Sets
   • Functions
   • Natural numbers and induction
   • Complex numbers
   • Equivalence relations
   • Order relations
   • Cardinality
2. Discrete Mathematics
   • Integers
   • Euclidean algorithm
   • Modular arithmetic
3. Algebraic structures
   • Monoids
   • Groups

Texts/Bibliography

Material provided by the teacher on Aulaweb.

Teachers and Commissions

• Aldo Conca
  • Reception: By appointment with the teacher
• Ulderico Fugacci

Examination Commission

• Aldo Conca (President)
• Riccardo Camerlo
• Emanuela De Negri (Supplementary President)
• Jacopo Emmenegger (Supplementary)
• Ulderico Fugacci (Supplementary)
• Giuseppe Rosolini (Supplementary)

Lessons

Start of Lessons

In accordance with the didactic calendar approved by the Council of Study Courses in Informatics.

Lesson Schedule

The schedule for this course can be found at: EasyAcademy Portal

Exams

Assessment Methods

The exam will mainly focus on the topics covered during the frontal lessons and will aim to assess not only if the student has reached an adequate level of knowledge but also if they have acquired the ability to critically analyze the problems that will be posed during the exam.

Exam Calendar

• Date: 21/01/2026
  • Time: 11:00
  • Location: Genova
  • Type: Written
• Date: 12/02/2026
  • Time: 11:00
  • Location: Genova
  • Type: Written
• Date: 25/06/2026
  • Time: 11:00
  • Location: Genova
  • Type: Written
• Date: 17/07/2026
  • Time: 11:00
  • Location: Genova
  • Type: Written
• Date: 04/09/2026
  • Time: 11:00
  • Location: Genova
  • Type: Written

Other Information

For further information, please consult the Aulaweb module of the course or contact the teacher.