1st semester

Course: Linear Algebra

Description:

Course title

Linear Algebra

Course code

ΜΚ2

Course type

Compulsory

Course level

Undergraduate (first cycle)

Year of studies

1st

Semester

1st

ECTS Credits

4

URL

eclass.uowm.gr/courses/ICTE211/

Hours per week

3

Instructor(s)

Konstantinos Balassas (Assistant Professor with contract)

Course content

Vector Calculus. Straight Lines, Surfaces and Curves in Space. Vector Spaces and Vector Subspaces. Linear independence, Bases and dimension of vector
Spaces. Matrices and Determinants. Finite-dimensional linear mappings. Matrices of linear maps. Systems of Linear Equations and Matrices. Solution of Systems of Linear Equations. Eigenvalues-Eigenvectors. Matrix
Diagonalization. Quadratic Forms.

Expected 
learning outcomes and competences to be acquired

Upon successful completion of this course, students will be able:

  • to know and manage the general form of curves and surfaces,
  • to understand and use concepts of vector spaces,
  • to use matrices as tools in theoretical and numerical computations,
  • to compute eigenvalues and eigenvectors,
  • to compute determinants,
  • to solve systems of linear equations,
  • to manage and use matrix diagonalization.

Prerequisites

None

Teaching methods

Lectures, exercises

Assessment methods

Written final exam (100%)

Language of instruction

Greek

Recommended bibliography

[1]     G. Strang, Γραμμική Άλγεβρα και Εφαρμογές, Πανεπιστημιακές Εκδόσεις Κρήτης, 2009.

[2]     Α. Κυριαζής, Εφαρμοσμένη Γραμμική Άλγεβρα, Νικητόπουλος Ε & Σια ΟΕ, 2006.

[3]     G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, 2003.

[4]     Τζουβάρας Θεόδωρος, Γραμμική Άλγεβρα Ι (και ΙΙ), Σαββάλας 2001.

[5]     Κουτελιέρης, Σιάννη, Γραμμική Άλγεβρα για Μηχανικούς, Τζιόλας 2005.

[6]     Serge, Land, Linear Algebra, Springer Verlag Berlin and     Heidelberg GmbH & Co. KG, 1993.

[7]     Richard C., Penney, Linear Algebra, John Wiley and Sons Ltd, 1998.



Lecturer: Balassas Konstantinos