Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Applied linear algebra 1 (17.0M530)

Type of studies	Title
Master Academic Studies	Mathematics in Engineering (Year: 1, Semester: Winter)

General information:

Category	Professional-applicative
Scientific or art field	Teorijska i primenjena matematika
ECTS	6

To enable students to think abstractly and acquire knowledge in applied linear algebra. The aim of this course is to develop a special way of thinking by using basic principles of the applied linear algebra. The knowledge they gain is a basis for a better understanding other professional courses and for a successful continuation in studies.

The student is competent to use methods of applied linear algebra in practice and in further education. Knowledge they have acquired, students learn to apply methods of linear algebra and to choose algorithms for solving future problems in professional field.

Various factorization of the matrix. Systems of linear equations. Iterative procedures. Projective methods. Preconditioning. Linear problems of the smallest squares. Characteristic roots and vectors. Localization of characteristic roots. Applications in Engineering. Applications in the analysis of dynamic systems. Algorithms in MATLAB.

Lectures. Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. In addition to lectures there are regular consultations. Through research and study work the student will, on the bases of scientific journals and other relevant literature that has been studied independently, develop further understanding of the material covered in lectures. Working with the course teacher the student develops the ability to independently work on a scientific paper.

Authors	Title	Year	Publisher	Language
R.A. Horn and Charles R. Johnson	Matrix Analysis	1999	Cambridge University Press	English
G.W. Stewart	Matrix Algorithm	1998	SIAM	English
Y. Saad	Iterative Methods for Sparse Linear Systems	2003	SIAM	English
L. Hogben	Handbook of Linear Algebra	2007	CRC Press	English
LAY, David C., LAY, Steven R.	Linear Algebra and Its Applications	2016	Pearson Education Limited, Harlow	English
J.W. Demmel	Applied Numerical Linear Algebra	1997	SIAM	English
L.N. Тrefethen, D. Bau, III	Numerical Linear Algebra	1997	SIAM	English

Course activity	Pre-examination	Obligations	Number of points
Lecture attendance	Yes	Yes	5.00
Term paper	Yes	Yes	20.00
Exercise attendance	Yes	Yes	5.00
Practical part of the exam - tasks	No	Yes	40.00
Theoretical part of the exam	No	Yes	30.00