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Нумеричка анализа

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Студијски програм: Инжењерство заштите животне средине (V семестар -OAS), Рударско инжењерство (V семестар -OAS)

Назив предмета: Нумеричка анализа

Предавачи: доц. др Драган Станков

Статус предмета: Изборни

ЕСПБ бодови: 5

Услов: Положена Математика 1 и Математика 2

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Циљ предмета: Упознавање са теоријом и праксом основних метода у Нумеричкој Анализи за потребе будућих инжењера технике

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Исход предмета: Оспособљавање студената да користе у инжењерској пракси методе Нумеричке Анализе.

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Садржај предмета:

Теоријска настава
Основне нумеричке методе, заокруживање бројева и процена грешака. Интерполација, нумеричка интеграција (Симпсонова метода, метода трапеза и тангенте) и нумеричко диференцирање. Приближно решавање обичних једначина: итеративне методе, методе сечице и тангенте. Решавање обичних диференцијалних и парцијалних диференцијалних једначина разним нумеричким методама.

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Практична настава
Израда задатака који одговарају материјалу који се ради на предавањима.

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Литература:

  1. Милош Миличић, Нада Миличић, Драган Станков, Елементи Нумеричке анализе, Рударско-геолошки факултет у Београду, 2003.
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  2. Д. Кузмановић, А. Седмак, И. Обрадовић, Д. Николић, Математичка Физика, РГФ, Универзитет у Београду, 2003.
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  3. I.S. Sokolnikoff and R.M. Redheffer, Mathematics of physics and modern engineering, McGraw Hill, New York etc, 2nd. Ed., 1966.
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  4. Slobodan Vujić i Aleksandar Ivić, Matematičke metode u rudarstvu i geologiji, RGF, Univerzitet u Beogradu, 1991.
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  5. Г.В. Миловановић, Нумеричка Анализа 1-3, Научна књига, Београд, 1985-1993.
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Фонд часова:

Предавања Вежбе Други облици наставе Студијски истраживачки рад
2 2 0 0

Метода извођења наставе: Класична метода преко табле, постоје скрипта А. Ивића која се могу бесплатно добити.

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