Selected topics in applied linear algebra

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Selected topics in applied linear algebra

Code: 252470
ECTS: 6.0
Lecturers in charge: prof. dr. sc. Ljiljana Arambašić
doc. dr. sc. Ana Prlić
Lecturers: Lectures:
prof. dr. sc. Ljiljana Arambašić
doc. dr. sc. Ana Prlić

Seminar:
prof. dr. sc. Ljiljana Arambašić
doc. dr. sc. Ana Prlić
Take exam: Studomat
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1. komponenta

Lecture typeTotal
Lectures 45
Seminar 15
Description:
COURSE AIMS AND OBJECTIVES: The aim of the course is to train students to apply linear algebra in other branches of mathematics, technical and natural sciences.

COURSE DESCRIPTION AND SYLLABUS:
Systems of linear equations. Determination of equations of curves and surfaces through given points. Applications in other branches of mathematics, natural sciences and technical sciences
Vector spaces. Lagrange interpolation polynomial. Homogeneous linear differential equations. Frames
Matrices and linear operators. Geometry of linear operators on R^2 and R^3. Markov chains. Linear models in economics. Graphs and digraphs. Approximation in terms of least squares
Eigenvalues and eigenvectors. Ranking of websites. Linear recursions. Systems of linear differential equations. Models of population growth
Literature:
  1. Elementary linear algebra: application version, A. Howard, C. Rorres, John Wiley & Sons, New York, 2000.
  2. Linearna algebra, Lj. Arambašić, Element, Zagreb, 2022.
  3. Linear algebra, J. Hefferon, https://hefferon.net/linearalgebra/~index.html.
  4. Linear algebra with applications, O. Bretscher, Pearson, 2012.
  5. Linear algebra and its applications, D. Lay, S. Lay, J. McDonald, Pearson, 2016.
  6. Linear algebra and its applications, G. Strang, Brooks/Cole, 2006.
  7. Linear algebra, a modern introduction, D. Poole, Brooks/Cole, 2011.
Prerequisit for:
Enrollment :
Passed : Linear algebra 1
Attended : Linear algebra 2

Examination :
Passed : Linear algebra 2
4. semester
Izborni predmet 2 - Regular study - Mathematics Education
Consultations schedule:
  • For consultation hours, please contact the course lecturers.