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TET112 - Elements of advanced mathematics 2

Course specification
Course titleElements of advanced mathematics 2
AcronymTET112
Study programme
Module
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB7.0Status
    ConditionОблик условљености
    The goalThe main goal of the course is to present basic definitions and claims from the theory of Integral calculus of functions of real variable, from theory of functions of several variables, from multiple integrals, from theory of ordinary differential equations. Also, students should to ovladaju applications of theoretical results from integral calculus and differential calculus of functions of several variables in solving of of practical technical and technology problems.
    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
    Contents of lecturesDefinition of integrals, integration of some classes of functions. Real functions of several variables-definition, limits and continuity, partial derivatives and differentiability of functions of several variables. Multiple integrals-elements of vector analysis; curves and surfaces, tangents of curves and tangent planes, surfaces, double integrals and applications; triple integrals and applications. Ordinary differential equations-first order differential equations; high order differential equations, applications of differential equations.
    Contents of exercisesn 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.
    Literature
    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 zadataka iz više matematike , Akademska misao, Beograd, 2004. (Original title)
    3. N. Miličić. M. Miličić, Elementi više matematike , II deo, II izdanje Akademska misao, Beograd, 2011. (Original title)
    4. N. Miličić. M. Miličić ,Zbirka rešenih zadataka iz više matematike, II deo, II izdanje, Akademska misao, Beograd, 2011. (Original title)
    5. N. Miličić, K.Obrenović Gilmor, B.Zlatić, Zbirka zadataka iz difrencijalnih jednačina sa elementima teorije, TMF, Beograd, 2012. (Original title)
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    33
    Methods of teaching
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lectures20Test paper
    Practical lessonsOral examination40
    Projects
    Colloquia40
    Seminars