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ZP112 - Mathematics II

Course specification
Course titleMathematics II
AcronymZP112
Study programme
Module
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB7.0Status
    ConditionОблик условљености
    The goalThe goal of this course is to teach students basic concepts and theoroms from the following areas: Integral calculus, Real functions of several real variables, Complex functions of complex variables, Line and multiple integrals, Surface integrals, Scalar and vector fields
    The outcomeThis course provides knowledge that can be applied to other natural science and technical-technological courses taught in the department. The course is intended to enable students to successfully apply the acquired mathematical knowledge in solving techical and technological problems.
    Contents
    Contents of lecturesIntegral calaculus—primitive function, the definite integral, inproper integrals, applications of integrals. Real functions of several real variables-definition, limit and continuity, partial derivatives and diferentiation. Complex functions of complex variables-definition, differential calculus, elementary functions. Line and multiple integrals-lines and surfaces, line integrals, double integrals, triple integrals, surface integrals, Green-Stocks and Gauss-Ostrogradski theorems. Scalar and vector fields-definition, divergence and curl of a vector field, Hamilton's operator
    Contents of exercisesThe aim of the practical lessions is to solve examples and tasks that illustrate various concepts presented in the theoretical lessions as well as their mutual relations. Moreover, the practical lessions give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences.
    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)
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    33
    Methods of teachingTeaching lessions and practices
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lectures20Test paper
    Practical lessonsOral examination40
    Projects
    Colloquia40
    Seminars