University of Warsaw - Central Authentication System

QUICK START
STUDENTS AND STAFF
FACULTIES
COURSES
- Selected problems in discrete mathematics
STUDIES
DORMITORIES
HELP

Selected problems in discrete mathematics

General data

Course ID:	1000-2M07MD
Erasmus code / ISCED:	11.303 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0612) Database and network design and administration The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Selected problems in discrete mathematics
Name in Polish:	Wybrane zagadnienia matematyki dyskretnej
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	(in Polish) Grupa przedmiotów obieralnych dla informatyki magisterskiej - specjalność Algorytmika (in Polish) Grupa przedmiotów obieralnych dla informatyki magisterskiej - specjalność Kryptografia (in Polish) Przedmioty obieralne na studiach drugiego stopnia na kierunku bioinformatyka Elective courses for Computer Science and Machine Learning
ECTS credit allocation (and other scores):	6.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	elective monographs
Short description:	A selection of classic results in combinatorics and graph theory
Full description:	1. Combinatorial designs. 2. Dilworth's theorem and extremal set theory. 3. Generating functions and their applications. 4. Counting: inversion formulas. 5. Ramsey's theory. Extremal graphs. 6. Algebraic methods in graph theory. 7. The probabilistic method. 8. Randomness in graphs.
Bibliography:	1. N. Alon, J. Spencer, 'The probabilistic method' 2. R. Diestel, 'Graph Theory' 3. J.H. van Lint, R.M. Wilson, 'A course in combinatorics' 4. H.S. Wilf, 'generatingfunctionology'
Learning outcomes:	Knowledge 1. Extended knowledge in combinatorics and graph theory (K_W01). 2. Knowledge of basic applications of probabilistic and algebraic methods in discrete mathematics (K_W02). 3. Understanding of the role and importance of mathematical reasonings (K_W01, K_W02). Skills 1. Ability to analyze and solve medium complexity problems in discrete mathematics (K_U01). 2. Ability to understand and apply a formal description of mathematical objects (K_U01, K_U03). Competence 1. Awareness of own limitations and the need for further education (K_K01). 2. Ability to precisely formulate questions to deepen the understanding of given subject or to find missing elements of reasoning (K_K02). 3. Ability to self-dependently search for information in literature, also in foreign languages (K_K04).
Assessment methods and assessment criteria:	Written exam (test), also non obligatory oral exam. In the case of completing the course by a doctoral student, the student will present a selected issue in the class.

Classes in period "Winter semester 2024/25" (past)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Go to timetable MO WYK CW TU W TH FR
Type of class:	Classes, 30 hours more information Lecture, 30 hours more information
Coordinators:	Adam Malinowski
Group instructors:	Adam Malinowski
Students list:	(inaccessible to you)
Credit:	Examination

Classes in period "Winter semester 2025/26" (future)

Time span:	2025-10-01 - 2026-01-25	Selected timetable range: weekly course term Go to timetable MO WYK CW TU W TH FR
Type of class:	Classes, 30 hours more information Lecture, 30 hours more information
Coordinators:	Adam Malinowski
Group instructors:	Adam Malinowski
Students list:	(inaccessible to you)
Credit:	Course - Examination Lecture - Examination

Course descriptions are protected by copyright.
Copyright by University of Warsaw.