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Mathematics 2

Course title: Mathematics 2

Code: FEIT08L003

Number of credits (ECTS): 6

Weekly number of classes: 3+3+0+0

Institute: Mathematics and Physics

Prerequisite for enrollment of the subject: Mathematics 1

Course goals/Competences: To adopt the basic concepts of matrix theory, vector spaces, analytical geometry, infinite series.  To develop analytical thinking, critical skills, learning ability. The obtained knowledge is necessary to study electrical engineering problems.

Total available number of classes: 180

Curriculum: Matrix algebra, matrix operations, elementary matrices. Determinants, properties and computation of determinants. Vector spaces, linear independence, basis and dimension. Matrix inversion. Rank. Eigenvalues and eigenvectors. Vectors in three dimensional space. Dot product, cross product and triple product of vectors. Analytical geometry in space. Infinite series, properties and convergence. Functional series, properties and convergence. Power series, Fourier series.

Literature:

Literature

Compulsory literature

No.

Author

Title

Publisher

Year

1

C.D. Meyer

Matrix Analysis and Applied Linear Algebra

SIAM

2000

2

Shapkarev I.

Mathematics 3

 

1993

3

S. Gegovska-Zajkova, K. Hadzi-Velkova Saneva

Elements of vector algebra and analytic geometry in space

 

In print