SYLLABUS

University: Technical University of Košice

Faculty: Faculty of Electrical Engineering and Informatics

Department: Department of Mathematics and Theoretical Informatics

Course Number: 2619621

Course Name: Mathematics II

Type, scope and method of learning activities:
Course Type: Lecture, Seminar, Numerical exercises
Recommended scope of the course content (in hours):
Full-time study (hours per week): 2,2,2
Part-time study (hours per semester): WT 26,26,26
Study Method: Attendance

Number of credits: 6

Recommended semester of study: WT

Recommended semester

Study programme

Study grade

Study Method

2.rok WT

Automotive Electronics (AE_Bc_D_sk)
Automated electrical systems (AES_Bc_KM)
Automated electrical systems (AES_Bc_D_sk)

Bachelor
Bachelor
Bachelor

Attendance
Combined
Attendance

Level of study: Bachelor

Prerequisites:

Course completion requirements:
Assessment and completion of the course: Credit test and examination
Continuous assessment: Student passes the continuous assessment and receives credits when he or she meets the requirement to obtain at least 21% out of 40%.
written test
Final assessment: Student passes the final assessment and passes the examination when he or she meets the requirement to obtain at least 31% out of 60%.
oral form exam
Overall assessment: Overall assessment is the sum of the assessments obtained by students in the assessment period. The overall result is determined in accordance with the internal regulations of the Technical University in Košice. (Study Regulations, the internal regulation principles of doctoral studies)

Learning outcomes:
To acquaint the students with the knowledge of the differential and integral calculus of the functions with n variables, Laplace transform and the most useful methods of solving the typical problems.

Brief course content:
1. Series. Power series. Taylor series.
2. Fourier series and their applications.
3. Metric spaces. Analytic geometry.
4. Function of n variables, continuity.
5. Partial derivatives.
6. Taylor's theorem. Extrema of two variables functions.
7. Ordinary differential equations of first order.
8. Linear differential equations of order n with constant coefficients.
9. Introduction to line and multiple integrals.
10. Introduction to complex functions of complex variables.
11. Laplace transform.
12. Properties and applications of the Laplace transform.

Recommended Reference Sources:
Džurina, J. - Grinčová, A. - Pirč, V.: Mathematical analysis II, Elfa, Košice, 2005.

Recommended optional program components:

Languages required for the course completion: Slovak

Notes: To successfully complete the course, it is necessary to obtain a credit and successfully pass the exam. This includes the student's participation in educational activities of direct teaching, lectures, exercises, as well as independent study and independent creative activity of the student in processing the semester assignment / assignments, project on a specified topic,
to a specified extent, in a specified design of a total of 150 hours intensity of the student's work per semester.

Course assessment:
Total number of students assessed: 3545

14%

28%

44%

Teacher:
prof. RNDr. Ján Plavka, CSc.

Last modified: 31.08.2022

Approved by: person(s) responsible for the study program