General principles of encoding and decoding (8 hours).
Exercises
Recognizing, in tasks involving the content of partition problems for sets and numbers, using the known recursive relationships and explicit formulas to estimate objects of this type, proving simple theoretical facts related to the numbers of divisions of sets and numbers (12 hours).
Proving simple theoretical facts for combinatorial configurations using relationships between combinatorial configurations and finite projective planes, relating these concepts to practical issues, differential set as a method for constructing quadratic configurations, systems of Steiner triples (10 hours).
Testing the detectability and possibility of correcting errors for given codes and their perfection, finding dictionaries and systems of control equations, examining the matrices generating codes (6 hours).
Colloquium (2 hours).
Metody kształcenia
Conversation lecture, traditional lecture, discussion exercises.
Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się
Opis efektu
Symbole efektów
Metody weryfikacji
Forma zajęć
Warunki zaliczenia
Conditions for passing classes:
Checking the level of students' preparation and their activity during the exercises.
A test during exercises, with tasks of varying difficulty, allowing the assessment of whether and to what extent the student has achieved the above-mentioned learning outcomes, mainly in terms of skills and competences.
Conversation during a lecture to verify higher levels of educational outcomes in the field of knowledge and skills.
Conversation during a lecture to verify higher levels of educational outcomes in the field of knowledge and skills.of knowledge and competences presented during the lecture.
The grade for the course consists of the grade for the exercises (50%) and the grade for the lecture (50%). The condition for passing the course is obtaining positive grades from exercises and lectures.
Literatura podstawowa
John Riordan, Introduction to Combinatorial Analysis, Dover publication Inc, 2002,
Any book containing above mentioned classical topics.
Literatura uzupełniająca
Uwagi
The subject is also offered in the 4th semester.
Zmodyfikowane przez dr hab. Ewa Drgas-Burchardt, prof. UZ (ostatnia modyfikacja: 28-12-2023 15:47)
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