ZP211 - Mathematics 3

Course specification
Course titleMathematics 3
Study programme
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ConditionОблик условљености
    The goalThe main goal of the course is to present basic definitions and claims from the theory of ordinary diferential eqations, from the theory of systems of differential equations, from series theory and from the basic probability theory.
    The outcomeTo prepare students that can apply theoretical knowledge from this course to the other similar courses and to use obtained theorertical knowledge in solving of practical technical and technology problems.
    Contents of lecturesOrdinary differential equations and systems of differential equations-first order differential equations; high order differential equations; applications of differential equations; systems of differential equations. Power series-basic definitions; convergence; positive series; convergence of power series; Fourie series. Introduction to probability theory-events; classical and statistical definition of probability; independend events; Formula of total probability; Bayes formula.
    Contents of exercisesIn practical part of the course concrete problems and excersies are considered. The main goal is to ilustrate introduced theoretical results from theoretical contents. Theoretical results are used for solving of such problems.
    1. . N. Miličić, M. Obradović, Elementi više matematike (teorija sa primerima i zadacima), Akademska misao, Beograd, 2003; (Original title)
    2. N. Miličić, M. Obradović, Zbirka zadaka iz više matematike, Akademska misao, Beograd, 2004. (Original title)
    3. M. Ušćumlić, M. Trifunović, P. Miličić, Elementi više matematike 2, Građevinska knjiga, Beograd, 2005; (Original title)
    4. M. Ušćumlić, P. Miličić, Zbirka zadataka iz više matematike 2, Građevinska knjiga, Beograd, 2005 (Original title)
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    Methods of teaching
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lecturesTest paper40
    Practical lessonsOral examination