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Differential and Difference Equations

General data

Course ID: 0600-FS2-1RRR#a
Erasmus code / ISCED: 11.104 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Differential and Difference Equations
Name in Polish: Differential and Difference Equations
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: The purpose of this course is to introduce the student to the theoretical aspects of differential and difference equations, including similarity and difference between these equations, and also to techniques for obtaining solutions for the various types of difference and ordinary differential equations.

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: none

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 15x2h = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 12x1h = 12h

the final examination: preparation.and take 12h + 3h = 15h

control works: repeating the material and preparation 3x4h = 12h

Quantitative description

Direct interaction with the teacher: 75 h., 3 ECTS

Practical exercises: 77 h., 3 ECTS

Learning outcomes:

Learning outcomes:

Student knows basic notions of general difference and ordinary differential equations theory.K_W01, K_U13, K_K01, K_K02

Student can find solutions of the system of linear difference and ordinary differential equations using proper analytical methods.K_W08, K_U06, K_U10, K_K01

Student will be able to understand the fundamental theorem of existence and uniqueness of solutions to differential equation and use these concepts in solving the initial value problem.K_W03, K_U01, K_U09, K_K01, K_K02

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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