# DZM2 - Selected topics of numerical analysis

Course specification
Course titleSelected topics of numerical analysis
AcronymDZM2
Study programme
Module
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB5.0Status
ConditionCredits from courses equivalent to Mathematics I and Mathematics IIОблик условљености
The goalThe goal of this course is to teach students basic concepts and theoroms from the following areas: Number systems and errors, Numerical solution of nonlinear equations, Interpolation, Numerical differentiation and integration, Numerical solution of ordinary differential equations, Numerical solution of partial differential equations
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 lecturesApproximate numbers and errors-sources of error, absolute and relative error, aproximate calculations of function values. ; Numerical solution of nonlinear equations-bisection method, Newton method, iterative methods, iterative methods for systems of the equations. ; Interpolation-the interpolation formula of Lagrange, Newton's interpolation formula, Hermite interpolation, Stirling interpolation Bessel interpolation. ; Numerical differentiation and integration-trapeziodal rule, Simpson's rule. ; Numerical solution of ordinary differential equations-Euler and Newton method, Runge-Kutta methods, Adam-Moulton methods. Numerical solution of partial differential equations-the finite difference method. Solving examples and tasks that illustrate various concepts presented in the theoretical contens as well as their mutual relations. Moreover, the practical examples give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences.
Contents of exercises
Literature
1. K. Zarowski, An introduction to numerical analysis for electrical and computer engineers, John Willey and sons, 2004.
2. N.S. Bakhvalov, Numerical Methods, Mir Publishers, 1977 (Original title)
3. M.Miličić, N. Miličić, D. Stankov, Elementi numericke analize, teorije, algoritmi, programi, zadaci, RGF, 464p, 1996, Beograd, II izdanje 2003, RGF, Beograd (Original title)
Number of hours per week during the semester/trimester/year
LecturesExercisesOTCStudy and ResearchOther classes
2
Methods of teachingLectures
Knowledge score (maximum points 100)
Pre obligationsPointsFinal examPoints
Activites during lecturesTest paper
Practical lessonsOral examination60
Projects
Colloquia40
Seminars