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Ordinary Differential Equations

General data

Course ID: 0600-MS1-2RRK#a
Erasmus code / ISCED: 11.102 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: Ordinary Differential Equations
Name in Polish: Ordinary Differential 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

Prerequisites:

Linear Algebra II 0600-MS1-1AL2#a
Mathematical Analysis III 0600-MS1-2AM3#a

Short description:

Course objectives:

Practice of knowing of fundamenthal notions, theorems in ordinary differential equations theory and methods of solving different kinds of differential equations. Practice of abilities of solutions existence in initial value problem and solving not complicated types of 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: 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: 4

Balance of student workload:

attending lectures15x2h = 30h

attending exercise classes 7x4h + 2h(preliminary teaching) = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x2h = 10h

the final examination: preparation.and take 15h + 4h = 19h

Quantitative description

Direct interaction with the teacher: 74 h., 2 ECTS

Practical exercises: 75 h., 3 ECTS

Learning outcomes:

Learning outcomes:

Student knows fundamenthal notions from ordinary differential equations theory and understand geometric interpretation of differential equation.K_W01, K_W03, K_U01, K_U22 K_K01, K_K02

Student is able to solve elementary ordinary differential equations by using proper analytical methods.K_W07, K_W04, K_U11, K_U21, K_K02

Student knows fundamenthal existence and uniqueness theorems and is able to study an existence of solution of initial value problem.K_W04, K_W02, K_U22, 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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