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13E082DIF - Differential Equations

Course specification
Course title Differential Equations
Acronym 13E082DIF
Study programme Electrical Engineering and Computing
Module
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB 3.0 Status elective
Condition No
The goal - Familiarizing students with the basic concepts of system of ordinary differential equations, stability theory, partial differential equations and Fourier’s method. - Comprehending the application of system of linear differential equations and partial equations in solving actual problems. - Training students for solving actual problems by using the theory of differential equations.
The outcome The student is able to apply the theory of differential equations and the theory of partial equations in problems of electrical engineering
Contents
URL to the subject page https://dif.etf.bg.ac.rs/
URL to lectures https://teams.microsoft.com/l/team/19%3akfiPMTmSeMbrSnkrf94xgeZPO_HVcSEAhXrqVfPIP9k1%40thread.tacv2/conversations?groupId=6cc7f34b-582d-41b1-a258-6cd58d5543f3&tenantId=1774ef2e-9c62-478a-8d3a-fd2a495547ba
Contents of lectures System of ordinary differential equations. System of linear differential equations. System of linear equations with constant coefficients. The partial equation . Cauchy's solution of a quasi-linear equation. Method of characteristics. Fourier's method of separating the variables. Application of differential equations in electrical engineering
Contents of exercises Students study and determine the knowledge from lectures solving problems in the system of differential equations and partial equations.
Literature
  1. D.Đ. Tosic, Mathematics III, Academic Mind, Belgrade, 2004
Number of hours per week during the semester/trimester/year
Lectures Exercises OTC Study and Research Other classes
1 1 0.5
Methods of teaching A combination of traditional blackboard teaching, usage of slides, 15 hours teaching + 15 hours tutorials on blackboard with exercises + 7.5 hours consulting related to home works, exam at the end of the unit. Students should spend 42 hours in learning and solving exercises on their own; 1.5 hours per week during semester and additional 20 hours afterwards.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activites during lectures 0 Test paper 70
Practical lessons 0 Oral examination 0
Projects
Colloquia 30
Seminars 0