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Cabinet:216
E-mail: dragan.stankov@rgf.bg.ac.rs

Numerical Analysis

Course Description

Study program: Environmental Engineering (V semester -OAS), Mining Engineering (V semester -OAS)

Name of subject: Numerical Analysis

Instructors: Dr Dragan Stankov

Status: Optional

ECTS: 5

Prerequisites: Passed exams in Mathematics 1 and Mathematics 2

Course Objectives: Getting acquainted with the theory and practice of basic methods in Numerical Analysis necessary for engineers

Learning Outcomes: Training students to use the Numerical Analysis method in engineering practice.

Content:

Theory teaching
Basic numerical methods, rounding up numbers and estimating errors. Interpolation, numerical integration (Simpson method, trapezoidal and tangent method) and numerical differentiation. Approximation of ordinary equations: iterative methods, methods of cuttings and tangents. Solving ordinary differential and partial differential equations by various numerical methods.

Practical teaching
Any subject of the theoretical part of the course will be followed by solving of the selected problems.

Suggested Reading List

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

Fund Hours:

Lectures Exercises Other forms of teaching Study research
2 2 0 0

Conduct of the Course: The classic method using the blackboard, there is a book written by A. Ivić, which can be obtained free of charge.

AssessmentОцена знања:

Final Exam ECTS
Oral Exam 25
Written Exam 25
Classwork Assessment ECTS
Class Participation 30
Seminars 20

Additional Assessment Criteria -