DZM2 - Selected topics of numerical analysis
Course specification | ||||
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Course title | Selected topics of numerical analysis | |||
Acronym | DZM2 | |||
Study programme | ||||
Module | ||||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 5.0 | Status | ||
Condition | Credits from courses equivalent to Mathematics I and Mathematics II | Облик условљености | ||
The goal | The 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 outcome | This 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 lectures | Approximate 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 | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
2 | ||||
Methods of teaching | Lectures | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | Test paper | |||
Practical lessons | Oral examination | 60 | ||
Projects | ||||
Colloquia | 40 | |||
Seminars |