FPF:UIAI209 Mathematics II - Course Information
UIAI209 Mathematics II
Faculty of Philosophy and Science in OpavaSummer 2024
The course is not taught in Summer 2024
- Extent and Intensity
- 6/0/0. 7 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Luděk Cienciala, Ph.D. (lecturer)
RNDr. Radka Poláková, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Luděk Cienciala, Ph.D.
Institute of Computer Science – Faculty of Philosophy and Science in Opava - Prerequisites
- Mathematics in the range secondary school curriculum.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Computer Science (programme FPF, B1802 AplI)
- Course objectives
- The aim of the course is to acquaint students with the basic concepts of algebra.
- Syllabus
- - Set theory, relations between sets, operations with sets, commutative, associative and distributive law.
- Sessions binary relation in the set, display sets, narrowing, expansion, surjection, injection, bijection, identity, equivalence and decomposition sets, ordered sets.
- Operations and set their properties.
- Algebras, subalgebras, homomorphisms, groupoids, semigroups and groups, half circles, rings and fields.
- Vector spaces, linear independence, basis and dimension of vector spaces, isomorphism of vector spaces, coordinate system.
- Matrices, determinants, rank matrices, systems of linear equations. Forms on vector spaces, linear forms, bilinear forms, quadratic forms.
- Linear, Linear vector spaces and matrices, linear transformations of a vector space.
- Introduction to graph theory.
- - Set theory, relations between sets, operations with sets, commutative, associative and distributive law.
- Literature
- recommended literature
- Cienciala, L., Ciencialová, L. Teorie grafů a grafové algoritmy. Slezská univerzita v Opavě, 2014. ISBN 978-80-7510-060-3. info
- Artin, M. Algebra. Pearson; 2 edition, 2010. ISBN 9780132413770. info
- Jukl, M. Lineární algebra. Univerzita Palackého Olomouc, 2006. info
- Hort, D., Rachůnek, J. Algebra I. VUP Olomouc, 2003. info
- B. L. van der Waerden; F. Blum; J. R. Schulenberg. Algebra Volume I. Springer-Verlag, 2003. ISBN 0-387-40624-7. info
- L. Bican. Lineární algebra a geometrie. Academia Praha, 2000. ISBN 80-200-0843-8. info
- Fronček, D. Úvod do teorie grafů. Opava, FPF SU, 2000. info
- Horák, P. Cvičení z algebry a teoretické aritmetiky I. Brno: MU, 1991. info
- Kolář, J., Štěpánková, O., Chyti, M. Logika, algebry a grafy. Praha, SNTL/ALFA, 1989. info
- Firlová, R., Šimon, J. Cvičení z algebry I. Pedagogická fakulta Ostravské univerzity, 1988. info
- Blažek, J., Koman, M., Vojtašová, B. Algebra a teorietická aritmetika. Praha, SPN, 1985. info
- Burian, K., Lbicher J. Algerbra I. Pedagogická fakulta Ostravské univerzity, 1982. info
- J. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968. info
- Teaching methods
- Interactive lecture
Lecture with a video analysis - Assessment methods
- Exam
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period.
Information on the extent and intensity of the course: Přednáška 6 HOD/SEM. - Teacher's information
- Credit: full-time students wrote the exercises two credit tests scoring 30 points each. All five students solve homework. For each homework gets 8 points. To obtain the credit needed 50 points. Points earned during the semester is multiplied by 0.4 and rounded up. Normalized points are counted for the exam.
Exam: Students may receive a maximum of 60 points from the exam. The successful it is necessary to obtain 30 points. To determine the mark of the test points earned in a semester of credit tests and the exam added. Maximum points is 100.
- Enrolment Statistics (Summer 2024, recent)
- Permalink: https://is.slu.cz/course/fpf/summer2024/UIAI209