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13E083PRM - Practicum - Computer Tools in Mathematics

Course specification
Course title Practicum - Computer Tools in Mathematics
Acronym 13E083PRM
Study programme Electrical Engineering and Computing
Module Computer Engineering and Informatics
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
    ESPB 3.0 Status elective
    Condition Mathematics 1 (OO1MM1), Mathematics 2 (OO1MM2)
    The goal Introducing students to the modern computer tools in mathematics Matlab, SAGE and GeoGebra, that will be useful for some topics in studies of electrical engineering and computer science. Modeling selected problems of techniques by using GeoGebra. A brief overview of the typesetting system Tex that enables easier typing of complex mathematical formulas.
    The outcome Lectures and problem sets will train students in the practical skills for writing computer programs useful for analyzing various problem in mathematics. Through a final project, students will develop their skills for solving mathematical problem by computer.
    Contents
    Contents of lectures Introduction to Matlab. Symbolic and numerical computations in Matlab i SAGE. Selected topics of the Mathematics 1 and 2 in Matlab and SAGE (polynomial and non-polynomial equations and systems, differential and integral calculus, differential equations, matrices, analytic geometry). GeoGebra, dynamic consideration of geometry, algebra, calculus and internet. Introduction to Tex.
    Contents of exercises Through examples, tasks and problems student learns how to apply skills that are learnt through theoretical contents. Especially students are prepared how to solve problems that are occurring in vocational electrotechnical subjects.
    Literature
    1. M. Cvetković, R. Jančić, D. Mitraković: Matematički programski alati, Grifon, Beograd 1996. (Original title)
    2. Amos Gilat, Uvod u Matlab 7.5 sa primerima,, Mikro knjiga, Beograd 2008. (prevod M.Šućur, A.Kartalovski) (Original title)
    3. SAGE: Open Source Mathematics Software, http://www.sagemath.org/ (Original title)
    4. M. & J. Hohenwarter: GeoGebra 4.0 Edition, International GeoGebra Institute http://www.geogebra.org/ 2012. (prevod izdanja ver. 3.2. Đ. & D. Herceg http://www.geogebra.org/help/docusr.pdf 2009.) (Original title)
    5. Aleksandar Samardžić, Goran Nenadić, Predrag Janičić, LATEX 2ε za autore, Kompjuter biblioteka, Beograd, 2003. (Original title)
    Number of hours per week during the semester/trimester/year
    Lectures Exercises OTC Study and Research Other classes
    1 1
    Methods of teaching Combination of traditional presentation on blackboard, slides, Matlab, SAGE and GeoGebra, communication with students through internet and individual work with students while working on home work tasks, and explanation of current topics.
    Knowledge score (maximum points 100)
    Pre obligations Points Final exam Points
    Activites during lectures 0 Test paper 40
    Practical lessons 0 Oral examination 0
    Projects 60
    Colloquia 0
    Seminars 0