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Differential and Difference Equations

General data

Course ID: 0600-FS2-1RRR Erasmus code / ISCED: 11.104 / (unknown)
Course title: Differential and Difference Equations Name in Polish: Równania różniczkowe i różnicowe
Department: (in Polish) Instytut Matematyki
Course groups:
ECTS credit allocation (and other scores): 5.00 (differs over time)
view allocation of credits
Language: Polish
Type of course:

(in Polish) obowiązkowe specjalnościowe

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

Bibliography: (in Polish)

Literatura podstawowa:

Palczewski A. Równania różniczkowe zwyczajne,

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

Elaydi N.S., An introduction to difference equations,

Literatura uzupełniająca:

Bobrowski D., Wprowadzenie do systemów dynamicznych z czasem dyskretnym, UAM, Poznań 1998,

Bobrowski D., Ratajczak Z., Przekształcenie Laplace’a i jego zastosowanie, Wydawnictwo Politechniki Poznańskiej, 1970

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

Classes in period "Academic year 2018/2019" (past)

Time span: 2018-10-01 - 2019-06-30
Choosen plan division:

see course schedule
Type of class: Class, 15 hours more information
Laboratory, 15 hours more information
Lecture, 30 hours more information
Coordinators: Alina Dobrogowska
Group instructors: Tomasz Czyżycki, Alina Dobrogowska, Justyna Makowska
Students list: (inaccessible to you)
Examination: Course - Examination
Class - Grading
Laboratory - Grading
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