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14ZP102 - Mathematics 1

Course specification
Course titleMathematics 1
Acronym14ZP102
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: Basic elements of high Mathematics, Real functions of one real variable, Diferentiation calculus, Elements of linear algebra and analytic geometry
    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 lecturesBasic elements of modern mathematics-mathematical logic, set theory, real numbers, complex numbers. Real functions of one real variable-binar relations, elementary functions, polynomial functions, sequences of real numbers, limiting value of sequences, limiting value of functions, continuity of functions. Derivatives, diferentiation, high order derivatives, fundamental theorems from diferentiation calculus, Taylor's theorem. Elements of linear algebra and analytic geometry-determinants, matrices, systems of linear equations, vectors, equations of straight lines and plains
    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. Milicic. M. Milicic, Elementi vise matematike, I deo, Akademska misao, Beograd, 2005. (Original title)
    2. N. Milicic. M. Milicic, Zbirka resenih zadataka iz vise matematike, Akademska misao, Beograd, 2008. (Original title)
    3. Š. Ušćumlić, M. Lazić, G. Kilibarda, Matematika I - Zbirka rešenih ispitnih zadataka, TMF, Beograd, 2005. (Original title)
    4. N. Miličić. M. Miličić, Zbirka zadataka za pripremu prijemnih ispita za upis na fakultete, TMF, Beograd, 2012. (Original title)
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    34
    Methods of teaching
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lectures20Test paper
    Practical lessonsOral examination40
    Projects
    Colloquia40
    Seminars