Mathematical Analysis I
General data
| Course ID: | 0600-MS1-1AM1#a | Erasmus code / ISCED: |
11.101
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(0541) Mathematics
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| 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 |
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| ECTS credit allocation (and other scores): |
10.00  view allocation of credits |
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| Language: | English | ||
| Type of course: | obligatory courses |
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| 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 |
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| 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 |
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| 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 |
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| Assessment methods and assessment criteria: |
The overall form of credit for the course: final exam |
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Classes in period "Academic year 2018/2019" (in progress)
| Time span: | 2018-10-01 - 2019-06-30 |
 
 see course schedule |
| Type of class: |
Class, 90 hours more information Lecture, 60 hours more information |
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| Coordinators: | Jarosław Kotowicz | |
| Group instructors: | (unknown) | |
| Students list: | (inaccessible to you) | |
| Examination: | Pass/fail |
Copyright by University of Bialystok.