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VIŠER

School of Electrical and Computer Engineering of Applied Studies

Belgrade

High Mathematics Course code: 100207 | 6 ECTS credits

Basic information
Level of Studies: Undergraduate applied studies
Year of Study: 1
Semester: 2
Requirements:
Goal: Acquiring the necessary knowledge for monitoring professional subjects in the field of electrical engineering, expanding mathematical education, developing creative thinking and creating a basis for understanding quality relationships among phenomena.
Outcome: Students will be able to solve complex mathematical problems and be able to apply them in the electrotechnical profession.
Contents of the course
Theoretical instruction:
  1. Concept and properties of partial derivatives of functions of several variables.
  2. Local extreme of functions of several variables.
  3. Conditional extreme of functions of several variables.
  4. The smallest and highest value of the function of several variables.
  5. Differential equations of the first order: homogeneous, linear, Bernoulli.
  6. Differential equations of the second order.
  7. First colloquium.
  8. Laplace transformation.
  9. Number series: basic properties and convergence.
  10. Convergence criteria for positive series.
  11. Alternative series. Power series and applications.
  12. Fourier series and applications.
  13. Second colloquium.
Practical instruction (Problem solving sessions/Lab work/Practical training):
  1. Practical classes follow the program of lectures and take place through exercises in the computer laboratory, using the software packages Matlab and Maple.
Textbooks and References
  1. A.Savić, S.Štrbac-Savić, Matematika 2, VIŠER, Beograd, 2015.
  2. A.Savić, S.Štrbac-Savić, I.Stefanović, Matematika 2-priručnik za laboratorijske vežbe, VIŠER, Beograd, 2016.
Number of active classes (weekly)
Lectures: 2
Practical classes: 3
Other types of classes: 0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
0
activities on practial excersises
20
seminary work
0
colloquium
25
Final exam
Points
Written exam
25
Oral exam
30