OF2PRM - Practicum - Computer Tools in Mathematics

Course specification
Course title Practicum - Computer Tools in Mathematics
Acronym OF2PRM
Study programme Electrical Engineering and Computing
Module Physical Electronics
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
    ESPB 3.0 Status elective
    The goal Introducing students to the modern free computer tools in mathematics (Matlab, SAGE and GeoGebra). Solving tasks and discussing some of the topics in Mathematics 3 using computer tools Matlab and SAGE. 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 programs useful for analyzing various problem in mathematics. Through a final project, students will develop their skills for solving mathematical problem of course Mathematics 3 by computer.
    Contents of lectures Introduction to Matlab. Symbolic and numerical computations in Matlab and SAGE. Selected topics of the Mathematics 1, 2 and 3 (single-value and multivariable differential and integral calculus, differential equations, matrices, analytic geometry, complex analysis, Fourier and Laplace transforms) in Matlab, SAGE and GeoGebra. 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.
    1. A. Gilat, Uvod u Matlab 7.5 sa primerima,, Mikro knjiga, Beograd 2008. (prevod M.Šućur, A.Kartalovski) (Original title)
    2. C. Wilkins: Synopsis for Exploring Mathematics with MuPAD, First year undergraduate course using Matlab at the University of Oxford, 2012. (Original title)
    3. SAGE: Open Source Mathematics Software, (Original title)
    4. M. & J. Hohenwarter: GeoGebra 4.0 Edition, International GeoGebra Institute 2012. (prevod izdanja ver. 3.2. Đ. & D. Herceg 2009.) (Original title)
    5. D. Tošić: Matematika III – kratak kurs, Akademska misao 2006. (Original title)
    Number of hours per week during the semester/trimester/year
    Lectures Exercises OTC Study and Research Other classes
    1 0 1
    Methods of teaching Formal lecture, practicals and group work, slides, Matlab, SAGE and GeoGebra (free mathematical software), e-communication with students, individual work with students to help them in realization of semestral work 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