Lecturer(s)


Lávička Miroslav, Doc. RNDr. Ph.D.

Tomiczková Světlana, RNDr. Ph.D.

Course content

Polynomials (operations, Horner's algorithm, algebraic equations, the fundamental theorem of algebra). Matrix (matrix operations, determinant, the concept of inverse matrix). Systems of linear algebraic equations (Gauss elimination, Frobenius theorem, calculation of inverse matrix, other methods). Eigenvalues and eigenvectors. Vector calculus (basic operations, linear dependence, scalar, vector and mixed product). Analytic geometry in E3 (a description of linear objects, their relative position, distance and deviation, transversal lines for oblique lines). Geometric projection and transformation (homogeneous coordinates, affine transformations in E2 and E3). Coordinate systems (polar, spherical, cylindrical and their use). Nonlinear objects (expression in vector and parametric form for curves, surfaces, conics and quadrics).

Learning activities and teaching methods

Students' portfolio, Lecture, Practicum
 Contact hours
 52 hours per semester
 Preparation for an examination (3060)
 40 hours per semester
 Individual project (40)
 15 hours per semester

prerequisite 

professional knowledge 

Knowledge of mathematics for secondary schools. 
learning outcomes 

Student is able to solve system of linear algebraic equations, can use determinants and fully understands the operations with vectors and is prepared to use methods of spatial analytic geometry of linear and quadratic objects. She/he can create and apply a linear transformation in matrix form. 
teaching methods 

Lecture 
Practicum 
Students' portfolio 
assessment methods 

Combined exam 
Recommended literature


Ježek, František; Míková, Marta. Maticová algebra a analytická geometrie. 2., přeprac. vyd. Plzeň : Západočeská univerzita, 2003. ISBN 8070829966.

Mezník, Ivan; Karásek, Jiří; Miklíček, Josef. Matematika I pro strojní fakulty. 1. vyd. Praha : SNTL, 1992.
