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Numerical mathematics

Code: 31427
ECTS: 7.0
Lecturers in charge: izv. prof. dr. sc. Nela Bosner - Lectures
izv. prof. dr. sc. Zvonimir Bujanović - Lectures
Lecturers: dr. sc. Matko Ljulj - Exercises
dr. sc. Ivana Šain Glibić - Exercises
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 45
Exercises 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES:
To introduce the basic concepts of numerical mathematics, starting from linear algebra, and heading to the classical problems of the approximations of functions, numerical derivatives, integration and optimization.

COURSE DESCRIPTION AND SYLLABUS:
1. Introduction.
2. Gauss isometries.
3. Approximation and interpolation.
4. The Least Square Method
5. Ortogonal polynoms and generalized Horners scheme.
6. Numerical integration.
7. Solving of non-linear equations
8. Introduction to optimization without boundaries.
Literature:
  1. V. Hari i dr: Numerička analiza: osnovni udžbenik
  2. K. E. Atkinson: An introduction to numerical analysis, 2nd edition
  3. E. Suli, D. Mayers: Introduction to Numerical Analysis
  4. L. N. Trefethen, D. Bau: Numerical Linear Algebra
Prerequisit for:
Enrollment :
Passed : Linear algebra 1
Passed : Mathematical analysis 2
4. semester
Mandatory course - Regular study - Mathematics
Consultations schedule:
  • izv. prof. dr. sc. Nela Bosner:

    Consulting time for the school year 2021/22 in the summer semester is :

    • Tuesday 11.00 - 13.00 in ofice 302.
    • by appointment - during the exams.
    Location: 302
  • izv. prof. dr. sc. Zvonimir Bujanović:

    Tuesdays, 3pm-5pm (please contact me by e-mail first)

    Location: A307
  • dr. sc. Matko Ljulj:

    Monday, 12-14h (registration by e-mail obligatory)

    Location: 312

Content

Link to the course web page: https://web.math.pmf.unizg.hr/nastava/unm/