Navigation

13E082RPM3 - Practicum - Computer Tools in Mathematics

Course specification
Course title Practicum - Computer Tools in Mathematics
Acronym 13E082RPM3
Study programme Electrical Engineering and Computing
Module
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
    ESPB 3.0 Status elective
    Condition
    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
    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.
    Literature
    1. A. Gilat, Introdaction in Matlab 7.5 with examples, Mikro knjiga, Beograd 2008.
    2. C. Wilkins: Synopsis for Exploring Mathematics with MuPAD, First year undergraduate course using Matlab at the University of Oxford, 2012. http://www.maths.ox.ac.uk/courses/course/19643/synopsis
    3. SAGE: Open Source Mathematics Software, http://www.sagemath.org/
    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.)
    5. D. Tošić: Mathematics III – short course, Akademska misao 2006.
    Number of hours per week during the semester/trimester/year
    Lectures Exercises OTC Study and Research Other classes
    1 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
    Colloquia 0
    Seminars 60