Mathematical Analysis IV

General data

Course ID:	0600-MS1-2AM4#a
Erasmus code / ISCED:	11.102 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 IV
Name in Polish:	Mathematical Analysis IV
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
Prerequisites:	Linear Algebra II 0600-MS1-1AL2#a Mathematical Analysis III 0600-MS1-2AM3#a
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: 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

This course is not currently offered.

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