Differential and Difference Equations
General data
Course ID:  360MS21RRRa 
Erasmus code / ISCED: 
11.104

Course title:  Differential and Difference Equations 
Name in Polish:  Differential and Difference Equations 
Organizational unit:  Faculty of Mathematics 
Course groups: 
(in Polish) Erasmus+ sem. letni 
ECTS credit allocation (and other scores): 
5.00

Language:  English 
Type of course:  elective courses 
Mode:  Blended learning 
Short description: 
(in Polish) To familiarize the student with the theories of differential and difference equations, with special emphasis on the similarities and differences, and to deepen the ability to apply both theories in practice, with an emphasis on the accuracy of the choice of method to solve the problem and testing its stability. 
Full description: 
(in Polish) Educational profile: general academic Form of studies: fulltime Compulsory subject Field: mathematical sciences, discipline: mathematics Year of study: 1, semester: 2 Prerequisites: linear algebra, ordinary differential equations, mathematical analysis Lecture 30 hours, exercises 15 hours, laboratory 15 hours. Teaching methods: lectures, accounting exercises, consultations, work on literature, solving homework assignments, discussions in problem groups. ECTS credits: 5 Balance of student workload: participation in lectures 15x2h = 30h participation in exercises 15x2h = 30h preparation for classes 7x2h = 14h finishing the tasks started during the exercises and preparing notes at home after the classes 10x3h = 30h participation in consultations 3x1h = 3h preparation for the exam and participation in it 12h + 3h = 15h preparation for colloquiums 2x4h = 8h Quantitative indicators student workload related to classes requiring the direct participation of an academic teacher: 63 hours. 
Bibliography: 
(in Polish) [1] Edwards, C.H., Penney, D.E, Calvis, D., DIFFERENTIAL EQUATIONS Computing and Modeling, Fifth Edition, Pearson Education, New Jersey 2014. [2] Elaydi N.S., An introduction to difference equations, SpringerVerlag New York, 1991. [3] Zill, D.G., A First Course in Differential Equations with Modeling Appli cations, Tenth Edition, Brooks/ Cole, Cengage Learning, Boston 2013. 
Learning outcomes: 
(in Polish) He knows the basic concepts of the general theory of differential and difference (ordinary) equations. He can solve systems of linear differential and differential equations using appropriate analytical methods. He knows the basic theorem about the existence and uniqueness and knows how to investigate the existence of a solution to the initial problem. He can examine the stability of a solution to a differential and differential equation and systems of equations. Can independently search for information on a given topic in the literature, understands names and mathematical terms in foreign languages. The student is prepared to apply the acquired knowledge to solve certain problems. 
Assessment methods and assessment criteria: 
(in Polish) Lectures, tutorials, consultations, work on literature, solving homework, discussions in problem groups. Means of verification: written / oral exam; a series of cards; test / colloquium; home accounting / problem work; presentation of solutions to tasks in the classroom; continuous observation of the student's activity; The exam is written. 1. A student who passes the exercises is allowed to take the exam. 2. You can receive a total of 10 points for active participation in the exercises  the instructor will propose the exercises. 3. You can receive a total of 90 points for the written part of the exam. It consists of 3 parts containing theoretical questions. So a student can get a total of 100 points from all parts. Depending on the number of points obtained, the final grade is in accordance with the presented grading scale: 91 100 = very good; 81  90 = good plus; 71  80 = good; 61  70 = sufficient plus; 51  60 = satisfactory; 0  50 = insufficient. In the case of a small number of missing points or a better grade (up to 5% of the exam points), an oral examination is possible. 
Classes in period "Academic year 2023/2024" (past)
Time span:  20231001  20240630 
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MO WYK
TU W TH CW
LAB
FR 
Type of class: 
Class, 15 hours
Laboratory, 15 hours
Lecture, 30 hours


Coordinators:  Miroslava Růžičková, Aneta Sliżewska  
Group instructors:  Justyna Makowska, Miroslava Růžičková  
Students list:  (inaccessible to you)  
Examination: 
Course 
Examination
Class  Grading Laboratory  Grading 
Classes in period "Academic year 2024/2025" (future)
Time span:  20241001  20250630 
Navigate to timetable
MO TU W TH FR 
Type of class: 
Class, 15 hours
Laboratory, 15 hours
Lecture, 30 hours


Coordinators:  (unknown)  
Group instructors:  Justyna Makowska, Miroslava Růžičková  
Students list:  (inaccessible to you)  
Examination: 
Course 
Examination
Class  Grading Laboratory  Grading 
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