Course code  07 59 1322 20  
ECTS credits  2  
Course title in the language of instruction 
Numerical Methods 

Course title in Polish  Numerical Methods (Metody numeryczne)  
Course title in English  Numerical Methods 

Language of instruction  English  
Course level  first cycle  
Course coordinator  dr inż. Andrzej Brozi  
Course instructors  dr inż. Andrzej Brozi  
Delivery methods and course duration 


Course objective  Present to the students basic applications of numerical methods to solution of physical problems. Make students familiar with Scilab program.  
Learning outcomes  Having passed the course a student is able to: 1. Write simple Scilab programs. 2. Solve systems of algebraic and nonlinear equations. 3. Solve ordinary differential equations. 4. Visualize the results in the form of plots. 

Assessment methods  The attainment of learning outcomes 2 and 3 is assessed on the basis of three programs written by students. The attainment of learning outcome 1 is assessed on the basis of all the programs and the outcome 4 is assessed on the basis of the third program. Assesment is made on the basis of the programs written by students. The final mark is the average of the marks of individual programs. The necessary condition is positive marks for all the programs. Mastering of the lecture content is assessed on the basis of programs. 

Prerequisites  Fundamentals of mathematical analysis and physics. 

Course content with delivery methods  LECTURE  Vector and matrix notation applied to common computation problems – principles of Scilab notation.  Systems of equations (algebraic and nonlinear), application of Scilab commands to quickly obtain solutions.  Ordinary differential equations – application of Scilab ode procedure.  Basic plotting commands – quick visualization of results. LABORATORY During laboratory classes students will gain practical skills in using Scilab to solve simple numerical problems. 

Basic reference materials  Brozi A., Scilab w przykładach, Nakom, Poznań 2007. Pdf files downloadable from the lecture site. 

Other reference materials  Jankowscy J. i M., Przegląd metod i algorytmów numerycznych, WNT, Warszawa,uzupełniająca 1988.Marciniak A., Gregulec D., Kaczmarek J., Podstawowe procedury numeryczne, Nakom, Poznań, 1997. Kopchenova N.V., Maron I.A., Computational Mathematics, Mir, Moskwa, 1975. Volkov E.A., Numerical Methods, Mir, Moskwa, 1986. Kącki E., Małolepszy A., Romanowicz A., Metody numeryczne dla inżynierów, Wyższa Szkoła Informatyki, Łódź 2005. Krupka J., Morawski R.Z., Opalski L.J., Wstęp do metod numerycznych, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa 1999. Rosłoniec S., Wybrane metody numeryczne, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa 2002. Povstenko J., Wprowadzenie do metod numerycznych, Akademicka Oficyna Wydawnicza EXIT, Warszawa 2002. 

Average student workload outside classroom  21 

Comments  Brak uwag 

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