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Differential and Difference Equations

General data

Course ID: 103A-CTxxx-ISA-EDDE Erasmus code / ISCED: (unknown) / (unknown)
Course title: Differential and Difference Equations Name in Polish: Differential and Difference Equations
Department: The Faculty of Electronics and Information Technology
Course groups: ( Courses in English )--eng.-EITI
( Mathematics )--B.Sc.-EITI
( Technical Courses )---EITI
( Technical Courses )--eng.-EITI
ECTS credit allocation (and other scores): 6.00
Language: English
(in Polish) Jednostka decyzyjna:

(in Polish) 103000 - Wydział Elektroniki i Technik Informacyjnych

(in Polish) Kod wydziałowy:

(in Polish) EDDE

(in Polish) Numer wersji:

(in Polish) 1

Short description:

The objective of the course is to introduce the students to the basic concepts of the theory of ordinary differential equations and its applications. The course covers the following areas: first-order differential equations, some elementary integration methods, linear equations, Pfaff equations, higher order differential equations, systems of differential equations, difference equations.

Full description:

The objective of the course is to introduce the students to the basic concepts of the theory of ordinary differential equations and its applications. The course covers the following areas: first-order differential equations, some elementary integration methods, linear equations, Pfaff equations, higher order differential equations, systems of differential equations, difference equations.

Lecture contents

  • First-order differential equations: definition of a solution, initial condition, existence and uniqueness theorem, some elementary methods of integration, linear and Bernoulli equation, Pfaff equation, exact equation, first integral, integrating factor.

  • Higher-order differential equations: definition of a solution, initial condition, existence and uniqueness theorem, linear equations of order n, reduction of order, complex functions of real variable, linear equations with constant coefficients.

  • Systems of differential equations: definition of a solution, initial condition, existence and uniqueness theorem, reduction a general system of differential equations to a normal system, normal systems of linear equations, normal systems of linear equations with constant coefficients.

  • Difference equations: definition of a solution, initial condition, existence and uniqueness theorem, linear difference equations.


    Tutorial contents
    The purpose of the tutorial is to teach the practical methods of solving differential equations and to highlight the connections between the theory and applications.

Bibliography:

    1. L.S.Pontryagin: Ordinary Differential Equations, PERGAMON PRESS,

    2. C.S.Edwards, D.E.Penney: Differential Equations and Boundary Value Problems,PEARSON EDUCATION, INC.

Classes in period "Summer Semester 2019/2020" (future)

Time span: 2020-02-22 - 2020-09-30

Choosen plan division:


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Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2019/2020"

Time span: 2019-10-01 - 2020-02-21
Choosen plan division:


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Type of class: lectures, 30 hours, 80 places more information
tutorials, 30 hours, 80 places more information
Coordinators: Mariusz Zając
Group instructors: Krzysztof Leśniewski, Mariusz Zając
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2018/2019" (past)

Time span: 2019-02-18 - 2019-09-30
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2018/2019" (past)

Time span: 2018-10-01 - 2019-02-17
Choosen plan division:


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see course schedule
Type of class: lectures, 30 hours, 60 places more information
tutorials, 30 hours, 60 places more information
Coordinators: Mariusz Zając
Group instructors: (unknown)
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2017/2018" (past)

Time span: 2018-02-19 - 2018-09-30
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2017/2018" (past)

Time span: 2017-10-01 - 2018-02-18
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 60 places more information
tutorials, 30 hours, 60 places more information
Coordinators: Mariusz Zając
Group instructors: Mariusz Zając
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2016/2017" (past)

Time span: 2017-02-20 - 2017-09-30
Choosen plan division:


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see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Mariusz Zając
Group instructors: Mariusz Zając
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2016/2017" (past)

Time span: 2016-10-01 - 2017-02-19
Choosen plan division:


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see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Mariusz Zając
Group instructors: Mariusz Zając
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2015/2016" (past)

Time span: 2016-02-23 - 2016-09-30
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2015/2016" (past)

Time span: 2015-10-01 - 2016-02-22
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Mariusz Zając
Group instructors: Mariusz Zając
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2014/2015" (past)

Time span: 2015-02-23 - 2015-09-30
Choosen plan division:


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see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2014/2015" (past)

Time span: 2014-09-29 - 2015-02-22
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2013/2014" (past)

Time span: 2014-02-24 - 2014-09-28
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2013/2014" (past)

Time span: 2013-10-01 - 2014-02-23
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2012/2013" (past)

Time span: 2013-02-20 - 2013-09-30
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2012/2013" (past)

Time span: 2012-10-01 - 2013-02-19
Choosen plan division:


magnify
see course schedule
Type of class: lectures, 30 hours, 30 places more information
tutorials, 30 hours, 30 places more information
Coordinators: Andrzej Fryszkowski
Group instructors: Andrzej Fryszkowski
Students list: (inaccessible to you)
Examination: Exam
(in Polish) Jednostka realizująca:

(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

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