Differential and Difference Equations 510-IS1-2RRR-23
Course profile: general
Form of study: full-time
Course type: optional
Year/semester of study: 2 / 3
Prerequisites (sequential system of courses and exams): none
Lecture: 15 Exercise classes: 15
Teaching methods: lectures, exercises
ECTS credits: 2
Balance of student workload:
Class attendance:
- lecture 15h
- Exercise classes 15h
Preparation for classes:
- exercises 7h
Literature study: 5h
Reports, homework: 4h
Preparation for the test: 4h
Preparation for the assessment: 5h
Assessment duration: 1h
Individual consultation with the teacher: 3h
Student workload:
With direct interaction with the teacher: 34h, 1 ECTS
Without direct interaction with the teacher: 25h, 1 ECTS
Type of course
Mode
(in Polish) w sali
(in Polish) zdalnie
Prerequisites
Course coordinators
Learning outcomes
1. The student knows the basic concepts of ordinary differential equations and initial conditions, understands the difference between general and particular solutions. KA6_WG1
2. The student can describe the basic types of ordinary first-order differential equations and discuss the methods used to solve them. KA6_WG1
3. The student can list and discuss second-order differential equations, knows the methods of solving elementary second-order equations by reducing to first order. KA6_WG1
4. The student can obtain a general solution for differential equations with separated variables and determine a particular solution for given initial conditions. KA6_UW2
5. The student is able to apply the correct substitution to the differential equation to reduce it to the equation with separated variables. KA6_UW2
6. The student can choose the right methods for solving heterogeneous differential equations. KA6_UW2
7. The student can convert elementary equations of the second order to the first order. KA6_UW2
8. Creatively solves problems. KA6_KO1
9. Can systematically complement knowledge about differential and difference equations. KA6_UU1
Assessment criteria
The general form of assessment: written test
In the case of distance learning, the assessment will be proceed using the tools available on the eduportalplatform or using USOS mail.
Bibliography
M.L.Krasnov, A.I.Kiselyov, G.I.Makarenko, A Book of problems in Ordinary Differential Equations, Mir Publishers Moscow 1989.
W.Kohler, L. Johnson, Elementary differential equations, Addison-Wesley, Boston 2003.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: