Discrete mathematics

A.Y. 2019/2020
6
Max ECTS
56
Overall hours
SSD
MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Language
Italian
Learning objectives
The objectives of the course include the basic notions of mathematical reasoning and their associated formalisms, with a particular focus in discrete mathematics (set theory, algebraic structures, linear algebra and geometry).
Expected learning outcomes
The ability of formalizing mathematical notions and reasonings, mastering basic notions of set theory and algebraic structures, knowing and properly applying the foundamentals of linear algebra and affine geometry.
Course syllabus and organization

Single session

Lesson period
First semester
Course syllabus
Elements of set theory. Principle of mathematical induction. Relations over sets. Binary operations and algebraic structures. Elements of group theory. Group omomorphisms. Vector spaces and their omomorhpisms. Systems of linear equations.
Prerequisites for admission
No one
Teaching methods
Lectures
Teaching Resources
Delizia, Longobardi, Maj, Nicotera - MATEMATICA DISCRETA, Mc Graw and Hill editori
Assessment methods and Criteria
Written exam
MAT/01 - MATHEMATICAL LOGIC - University credits: 0
MAT/02 - ALGEBRA - University credits: 0
MAT/03 - GEOMETRY - University credits: 0
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 0
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 0
MAT/06 - PROBABILITY AND STATISTICS - University credits: 0
MAT/07 - MATHEMATICAL PHYSICS - University credits: 0
MAT/08 - NUMERICAL ANALYSIS - University credits: 0
MAT/09 - OPERATIONS RESEARCH - University credits: 0
Practicals: 24 hours
Lessons: 32 hours