Combinatorics
General data
Course ID:  0600MS11KOM  Erasmus code / ISCED:  11.101 / (0541) Mathematics 
Course title:  Combinatorics  Name in Polish:  Kombinatoryka 
Department:  (in Polish) Zakład Dydaktyki i Nowoczesnych Technologii w Kształceniu  
Course groups: 
(in Polish) 1 rok 1 stopnia sem. letni Matematyka spec. Teoretyczna (in Polish) 3L stac. I st. studia matematyki  przedmioty obowiązkowe 

ECTS credit allocation (and other scores): 
5.00 view allocation of credits 

Language:  Polish  
Type of course:  obligatory courses 

Short description: 
Course objectives: Student will gain skills counting numbers of combinatorial objects of fundamental types defined on finite sets. He will also learn how to apply in practice generating functions and power series to solve recurrence equations. 

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: 1, semester: 2 Prerequisities: Mathematical Analysis I, Elements of Logic and Set Theory lecture 30 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 lectures15x2h = 30h attending exercise classes 7x4h + 2h(preliminary teaching) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x2h = 14h consultations 5x2h = 10h the final examination: preparation.and take 15h + 4h = 19h Quantitative description Direct interaction with the teacher: 74 h., 2 ECTS Practical exercises: 75 h., 3 ECTS 

Learning outcomes: 
Learning outcomes: Knows and can apply basic elementary counting techniques used for combinatorial objects.K_W01, K_W04, K_W05, K_W06, K_U09, K_U11, K_U29, K_K01 Can prove fundamental combinatorial equations.K_W01, K_W05, K_W06, K_U11, K_U29, K_K01 Can find recurrence relations in mathematical problems. Knows basic methods of solving recurrence relations following methods of mathematical induction, of characteristic equations, and of generating functions.K_W01, K_W04, K_W05, K_W06, K_U03, K_U09, K_U11, K_U16, K_U17, K_U29, K_K01 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2017/2018" (past)
Time span:  20171001  20180630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Krzysztof BelinaPrażmowskiKryński  
Group instructors:  Krzysztof BelinaPrażmowskiKryński, Krzysztof Petelczyc  
Students list:  (inaccessible to you)  
Examination:  Examination 
Classes in period "Academic year 2018/2019" (future)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  (unknown)  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Examination 
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