Introduction to Graph Theory
General data
Course ID: | 0600-MS1-2ZTG |
Erasmus code / ISCED: |
11.104
|
Course title: | Introduction to Graph Theory |
Name in Polish: | Wprowadzenie do teorii grafów |
Organizational unit: | (in Polish) Instytut Matematyki. |
Course groups: | |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | Polish |
Type of course: | obligatory courses |
Mode: | (in Polish) w sali |
Short description: |
Course objectives: A student will acquire knowledge in rudiments of graph theory. He will also get basic information on applications of the theory. |
Full description: |
Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: Mathematics, field of study in the arts and science: mathematics Year: 2, semester: 3 Prerequisities: Combinatorics lecture 15 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 4 Balance of student workload: attending lectures15x1h = 15h attending exercise classes 7x4h + 2h(preliminary teaching) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 9x2h = 18h consultations 5x1h = 5h final work: preparation and take 10h + 2h = 12h Quantitative description Direct interaction with the teacher: 53 h., 2 ECTS Practical exercises: 74 h., 4 ECTS |
Bibliography: |
R. Diestel, Graph Theory, Springer Verlag, 2000 |
Learning outcomes: |
Learning outcomes: Knows fundamental notions of the Graph Theory; can give examples illustrating various types of graphs he was tought about.K_W02, K_W04, K_W05, K_W06, K_U01, K_U02, K_U03, K_U06, K_U11, K_U29, K_U36 Knows the notions of a path, cycle, Euler graph, and Hamilton graph. He also knows theorems associated with problems where these graphs appeared (the Euler, the Ore, and the Dirac Theorems) and can apply these theorems to concrete graphs and classes of graphs.K_W02, K_W04, K_W05, K_W06, K_U01, K_U02, K_U03, K_U06, K_U11, K_U29, K_U36 Knows basic applications of graph theory in finding (in practice) a shortest path in various examples.K_W01, K_W02, K_W03, K_W05, K_W06, K_U01, K_U02, K_U03, K_U06, K_U11, K_U25, K_U29, K_U36 Learns methodological bases for the applying graph theory in everyday problems and solving its elementary problems.K_K01, K_K02, K_K07 |
Assessment methods and assessment criteria: |
The overall form of credit for the course: test |
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