Course: Matrix Algebra and Analytic Geometry

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Course title Matrix Algebra and Analytic Geometry
Course code KMA/MAG
Organizational form of instruction Lecture + Tutorial
Level of course not specified
Year of study not specified
Semester Winter and summer
Number of ECTS credits 4
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
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). Non-linear 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 (30-60) - 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 80-7082-996-6.
  • Mezník, Ivan; Karásek, Jiří; Miklíček, Josef. Matematika I pro strojní fakulty. 1. vyd. Praha : SNTL, 1992.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester