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Mathematical Analysis II

General data

Course ID: 0600-MS1-1AM2#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 II
Name in Polish: Mathematical Analysis II
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 I 0600-MS1-1AL1#a
Mathematical Analysis I 0600-MS1-1AM1#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: obligatory

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 1, semester: 2

Prerequisities: Mathematical Analysis I, Linear Algebra I

lecture 60 h. exercise class 90 h.

Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.

ECTS credits: 10

Balance of student workload:

attending lectures15x4h = 60h

attending exercise classes 15x6h = 90h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x1h = 5h

home works: solving exercises 15x3h = 45h

the final examination: preparation.and take 12h + 4h = 16h

Quantitative description

Direct interaction with the teacher: 159 h., 5 ECTS

Practical exercises: 175 h., 6 ECTS

Learning outcomes:

Learning outcomes:

Understands the notion of Riemann integral of function of one variable and has mastered basic techniques of integration.K_U09, K_U10, K_U13, K_U14, K_W02, K_W04, K_W05, K_W07

Can define all elementary functions and knows their basic properties.K_U09, K_U10, K_U11, K_U12, K_U14, K_W02, K_W04, K_W05

Knows the notion of a sequence of mappings and understands relationships between the notions of pointwise convergence, uniform convergence, and almost uniform convergence.K_U09, K_U10, K_W02, K_W04, K_W05

Knows how to use notions, theorems and methods of differential calculus of functions of one variable to the analysis of function giving rationalizations of correctness of his solutions.K_U12, K_W02, K_W03, K_W04, K_W05, K_W07

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

This course is not currently offered.
Course descriptions are protected by copyright.
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