Mathematical Analysis I
General data
Course ID:  0600MS11AM1#a  Erasmus code / ISCED:  11.101 / (0541) Mathematics 
Course title:  Mathematical Analysis I  Name in Polish:  Mathematical Analysis I 
Department:  Faculty of Mathematics and Informatics  
Course groups: 
(in Polish) 3L stac. I st. studia matematyki specj. matematyka teoretyczna – przedmioty obowiązkowe 

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

Language:  English  
Type of course:  obligatory courses 

Short description: 
Course objectives: Knowledge of material related to presented contents: a) understanding introduced notions and theorems b) knowledge of presented proofs c) giving appropriate examples d) solving computational problems 

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: 1 Prerequisities: none lecture 60 h. exercise class 90 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 9 Balance of student workload: attending lectures15x4h = 60h attending exercise classes 15x6h = 90h preparation for classes 13x3h = 39h completing notes after exercises and lectures 15x2h = 30h consultations 5x1h = 5h home works: solving exercises 15x2h = 30h the final examination: preparation.and take 16h + 6h = 22h Quantitative description Direct interaction with the teacher: 161 h., 6 ECTS Practical exercises: 184 h., 7 ECTS 

Learning outcomes: 
Learning outcomes: Understands the notion of relation and can use it both to define mappings and equivalence relations.K_U05, K_U06, K_U09, K_W02, K_W04, K_W05 Knows the notion of a real number as a class of equivalence of a sequence of rational numbers; can define operations on real numbers.K_U08, K_W02, K_W04, K_W05 Can define subset: open, closed, connected and compact of a real line. Understands relations between these notions.K_U23, K_W02, K_W04, K_W05 Efficiently computes limits of sequences of real numbers. Applies basic theorems of thery of limits.K_U07, K_U10, K_W02, K_W04, K_W05 Knows a notion of a series, absolute and conditional convergence; applies efficiently convergence criteria of a series and knows Riemann theorem on limits of conditionally convergent series.K_U10, K_W02, K_W04, K_W05 Understands that R^n space is an example of metric space and is able to define basic notions related to this fact.K_U10, K_U23, K_W02, K_W04, K_W05 Understands the notion of continuous mapping and know basic theorems related to this notion.K_U10, K_U24, K_W02, K_W04, K_W05 Profiently computes limits of functions of one variable.K_U07, K_U10, K_W02, K_W04, K_W05 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2018/2019" (in progress)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 90 hours more information Lecture, 60 hours more information 

Coordinators:  Jarosław Kotowicz  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Pass/fail 
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