Mathematical Analysis I

General data

Course ID:	0600-MS1-1AM1#a
Erasmus code / ISCED:	11.101 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Mathematical Analysis I
Name in Polish:	Mathematical Analysis I
Organizational unit:	Faculty of Mathematics and Informatics
Course groups:
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. 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

This course is not currently offered.

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