Course: Linear Algebra and Geometry II

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Course title Linear Algebra and Geometry II
Course code KMA/K212
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Přibyl Jiří, PhDr. Ph.D.
Course content
1. elementary knowledges of linear algebra - (finite) vector spaces, linear combination, linear dependance (independance), linear maps, base, dimension, matrix algebra, determinants... 2. affine spaces, models, subspaces 3. typical coordinate systems, coordinate systems od affine spaces 4. mutual position subspaces of affine spaces - lines, planes, lines and planes (in 3D), and subspaces 5. finite dimensions (in n-dimensional spaces) 6. nonparametric equations of subspaces; typical subspaces of affine spaces dot product, vector spaces with dot product, Euclidean spaces, perpendicularr subspaces 7. Cartesian coordinates, coordinate transformations 8. metrics, distance 9. plane angles, three-dimensional angles 10. complex plane 11. affine characteristics of quadratics 12. metric characteristics of quadratics 13. conic sections

Learning activities and teaching methods
unspecified
Learning outcomes
Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer