Course unit code: 
FSITLA 
Academic year: 
2016/2017 
Type of course unit: 
compulsory 
Level of course unit: 
Bachelor's (1st cycle) 
Year of study: 
1 
Semester: 
winter 
Number of ECTS credits: 
3 
Learning outcomes of the course unit:
Students will be made familiar with algebraic operations, linear algebra, vector and euclidean spaces, and analytic geometry. They will be able to work with matrix operations, solve systems of linear equations and apply the methods of linear algebra to analytic geometry and engineering tasks. When completing the course, the students will be prepared for further study of mathematical and technical disciplines.


Mode of delivery:
90 % facetoface, 10 % distance learning


Prerequisites:
Students are expected to have basic knowledge of secondary school mathematics.


Corequisites:
Not applicable.


Recommended optional programme components:
Not applicable.


Course contents (annotation):
The course deals with the following topics:
Algebraic operations: groupoids, semigroups, groups, vector spaces, matrices and operations on matrices.
Linear algebra: determinants, matrices in step form and rank of a matrix, systems of linear equations.
Euclidean spaces: scalar product of vectors, eigenvalues and eigenvectors of a square matrix, diagonalization.
Fundamentals of analytic geometry: linear concepts, conics, quadrics.


Recommended or required reading:
Thomas, G. B., Finney, R. L.: Calculus and analytic geometry, Addison Wesley 2003 Howard, A. A.: Elementary Linear Alebra, Wiley 2002 Rektorys, K. a spol.:Přehled užité matematiky I., II., Prometheus 1995 Nicholson, W. K.: Elementary Linear Algebra with Applications, PWS 1990 Searle, S. R.: Matrix Algebra Useful for Statistics, Wiley 1982 Karásek, J., Skula, L.: Lineární algebra, Cerm 2005 Nedoma, J.: Matematika I., Cerm 2001 Nedoma, J.: Matematika I., část první: Algebra a geometrie, PCDIR 1998 Horák, P., Janyška, J.: Analytická geometrie, Masarykova univerzita 1997 Janyška, J., Sekaninová, A.: Analytická teorie kuželoseček a kvadrik, Masarykova univerzita 1996


Planned learning activities and teaching methods:
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.


Assesment methods and criteria linked to learning outcomes:
Courseunit credit requirements: Active attendance at the seminars.
Form of examinations: The examination has a written and an oral part. In a 120minute written test, students solve the following 5 problems:
Problem 1: Groupoids, vector spaces, euclidean spaces, eigenvalues and eigenvectors.
Problem 2: Matrices.
Problem 3: Systems of linear equations.
Problem 4: Analytic geometry of linear concepts.
Problem 5: Analytic geometry of nonlinear concepts.
During the oral part of the examination, the examiner goes through the test with the student. The examiner should inform the students at the last lecture about the basic rules of the examination and the evaluation of its results.
Rules for classification: The student can achieve 4 points for each problem. Therefore he/she may achieve 20 points in total.
Final classification:
A (excellent): 19 to 20 points
B (very good): 17 to 18 points
C (good): 15 to 16 points
D (satisfactory): 13 to 14 points
E (sufficient): 10 to 12 points
F (failed): 0 to 9 points


Language of instruction:
Czech


Work placements:
Not applicable.


Course curriculum:
Not applicable.


Aims:
The course aims to acquaint the students with the basics of algebraic operations, linear algebra, vector and euclidean staces, and analytic geometry. This will enable them to attend further mathematical and engineering courses and deal with engineering problems. Another goal of the copurse is to develop the students´ logical thinking.


Specification of controlled education, way of implementation and compensation for absences:
Attendance at lectures is recommended, attendance at seminars is required. The lessons are planned on the basis of a weekly schedule. The way of compensation for an absence is in the competence of the teacher.

