Mathematical Analysis IV
General data
Course ID:  0600MS12AM4  Erasmus code / ISCED:  11.102 / (unknown) 
Course title:  Mathematical Analysis IV  Name in Polish:  Analiza matematyczna IV 
Department:  (in Polish) Instytut Matematyki  
Course groups: 
(in Polish) 2 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: Knowledge of material related to presented contents:a) understanding introduced notions and theoremsb) knowledge of presented proofsc) giving appropriate examplesd) solving computational problems 

Full description: 
Course profile: academic Form of study: stationary Course type: facultative Academic discipline: Mathematics, field of study in the arts and science: mathematics Year: 2, semester: 4 Prerequisities: Mathematical Analysis III, Linear Algebra II lecture 30 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 5 Balance of student workload: attending lectures15x2h = 30h attending exercise classes 7x4h + 2h(preliminary instructions) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x2h = 14h consultations 5x1h = 5h home works: solving exercises 15x2h = 30h the final examination: preparation.and take 12h + 4h = 16h Quantitative description Direct interaction with the teacher: 69 h., 2 ECTS Practical exercises: 100 h., 3 ECTS 

Learning outcomes: 
Learning outcomes: Knows the notion of Lebesgue integral and its relation to Riemann integral.K_U06, K_U13, K_W02, K_W03, K_W04, K_W06, K_W07 Understands the notion of decomposition of unity and knows how to apply it.K_U09, K_U11, K_U12, K_U23, K_W02, K_W04, K_W05 Knows and understands the notion of differentiable manifold submerged in R^n and of differential form; knows operations on forms.K_U16, K_U17, K_U18, K_U23, K_W02, K_W04, K_W05 Knows the notion and basic properties of Fourier transform.K_U10, K_U12, K_U13, K_U14, K_U15, K_W02, K_W04, K_W07 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2018/2019" (past)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Grzegorz Jakimowicz  
Group instructors:  Grzegorz Jakimowicz  
Students list:  (inaccessible to you)  
Examination: 
Course 
Examination
Class  Grading 
Classes in period "Academic year 2019/2020" (in progress)
Time span:  20191001  20200630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Maciej Horowski  
Group instructors:  Maciej Horowski  
Students list:  (inaccessible to you)  
Examination: 
Course 
Examination
Class  Grading 
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