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Ordinary Differential Equations

General data

Course ID: 0600-MS1-2RRK Erasmus code / ISCED: 11.102 / (0541) Mathematics
Course title: Ordinary Differential Equations Name in Polish: Równania różniczkowe
Department: (in Polish) Zakład Fizyki Matematycznej
Course groups: (in Polish) 2 rok 1 stopnia sem. letni Matematyka spec. Teoretyczna
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 4.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses


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

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

Bibliography: (in Polish)

W.I.Arnold, Równania różniczkowe zwyczajne, PWN 1975

N.M.Matwiejew, Metody całkowania równań różniczkowych zwyczajnych, PWN 1986

J.Muszyńska, A.D.Myszkis, Równania różniczkowe zwyczajne, PWN 1984

M.Gewert, Z.Skoczylas, Równania różniczkowe zwyczajne. Teoria przykłady, zadania, GiS 2003

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

Classes in period "Academic year 2017/2018" (in progress)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:

see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Anatol Odzijewicz
Group instructors: Anatol Odzijewicz, Aneta Sliżewska
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
Copyright by University of Bialystok.