Full Information on the Course and Its Validation
Code Name | MB101 Matematika I | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Term | Autumn 2005 | ||||||||||||
Name | Matematika I | ||||||||||||
Edit | basic, additional data, attributes of the course. Brief Overview | ||||||||||||
Name (abbreviated) | Matematika I | ||||||||||||
Name (in English) | Mathematics I | ||||||||||||
Name in English (abbreviated) | Mathematics I | ||||||||||||
Language of instruction | cze Czech | ||||||||||||
Faculty | 1433 Fakulta informatiky | ||||||||||||
Guarantor | prof. RNDr. Jan Slovák, DrSc. (ÚMS Ústavy PřF MU), učo 1424 | ||||||||||||
Guarantor department | 1433 Fakulta informatiky | ||||||||||||
Supplier department | |||||||||||||
Contact Person | |||||||||||||
Teachers | prof. RNDr. Jan Slovák, DrSc. (ÚMS Ústavy PřF MU), učo 1424, lecturer, position: 1 Last modified: 24/8/2005 14:06.06, prof. RNDr. Jan Slovák, DrSc. | ||||||||||||
Mgr. Martin Panák, Ph.D. (abs PřF MU), učo 7048, lecturer, position: 2 Last modified: 24/8/2005 14:06.06, prof. RNDr. Jan Slovák, DrSc. | |||||||||||||
Ing. Mgr. Dávid Dereník (abs ESF MU, PřF MU), učo 127833, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
Mgr. Kamila Hasilová, Ph.D. (abs PřF MU), učo 63985, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
Mgr. Zdeňka Hencová (abs PřF MU), učo 22519, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
RNDr. Marika Kafková, Ph.D. (abs PřF MU), učo 183126, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
Mgr. Tomáš Lipenský (abs PřF MU), učo 41679, seminar tutor, position not specified Last modified: 24/8/2005 14:06.06, prof. RNDr. Jan Slovák, DrSc. | |||||||||||||
doc. Mgr. Aleš Návrat, Dr. rer. nat. (abs PřF MU), učo 42314, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
Mgr. Miroslava Tkadlecová, Ph.D. (abs PřF MU), učo 14404, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
doc. Mgr. Lenka Zalabová, Ph.D. (ÚMS Ústavy PřF MU), učo 13779, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
RNDr. Lucie Zrůstová, Ph.D. (abs PřF MU), učo 14360, seminar tutor, position not specified Last modified: 4/9/2005 19:19.40, RNDr. Libor Škarvada | |||||||||||||
Type of Completion | zk examination (recommended) | ||||||||||||
Completion-related note | |||||||||||||
Completion postponed? | no | ||||||||||||
Extent and Intensity | lecture 2, class exercises 2, other - | ||||||||||||
Taught (frequency) | every week | ||||||||||||
Taught (frequency) - note | |||||||||||||
Offered (frequency) | annually | ||||||||||||
Offered (frequency) - note | |||||||||||||
Number of credits | 4 | ||||||||||||
Extra credits | Provided the student completes the course with an examination, he/she gains two extra credits. If he/she completes the course with a colloquium, he/she gains one extra credit. In the case of any other type of completion, the student only gains the number of credits specified in the 'Number of credits' section. (plus ukončení) | ||||||||||||
Credits-related note | |||||||||||||
Pre-Requisites | (!M005)&&(!MB005)&&(!NOW(MB005)) | ||||||||||||
Listed among pre-requisites of other courses | PřF:M7190 Game Theory PV275 Introduction to Quantum Computer Programming | ||||||||||||
Limit (maximum number of students) | |||||||||||||
Limit-related note | |||||||||||||
Note | |||||||||||||
fields of study / plans the course is directly associated with | B Aplikovaná informatika bc prez jednooborové (FI, B-AP), prog_id=3141, obor_id=3142 B Informatika a druhý obor bc prez dvouoborové (FI, B-BI), prog_id=6, obor_id=5719 B Informatika a druhý obor bc prez dvouoborové (FI, B-FY), prog_id=8, obor_id=5653 B Informatika a druhý obor bc prez dvouoborové (FI, B-GE), prog_id=3, obor_id=5673 B Informatika a druhý obor bc prez dvouoborové (FI, B-GK), prog_id=3409, obor_id=5663 B Informatika a druhý obor bc prez dvouoborové (FI, B-CH), prog_id=5, obor_id=5709 B Informatika a druhý obor bc prez dvouoborové (FI, B-IO), prog_id=4381, obor_id=4382 B Informatika a druhý obor bc prez dvouoborové (FI, B-MA), prog_id=1, obor_id=5679 B Informatika a druhý obor bc prez dvouoborové (FI, B-SO), prog_id=1043, obor_id=6126 B Informatika a druhý obor bc prez dvouoborové (FI, B-TV), prog_id=3144, obor_id=5640 Last modified: 24/8/2005 14:06.06, prof. RNDr. Jan Slovák, DrSc. | ||||||||||||
Offered outside the fields/plans | no | ||||||||||||
Attributes |
| ||||||||||||
Basic data last modified | Last modified: 8/4/2005 08:07.48, prof. Ing. Jiří Sochor, CSc. | ||||||||||||
Additional information last modified | Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | ||||||||||||
Pre-requisites (in words) | Středoškolská matematika. | ||||||||||||
Pre-requisites in English | High school mathematics. | ||||||||||||
Course objectives | Kurs je první částí čtyřsemestrového bloku Matematika I - IV. V celém bloku jsou prezentovány základy algebry, lineární algebry, analýzy, numerických metod, kombinatoriky, teorie grafů a teorie pravděpodobnosti a statistiky. V kurzu Matematika I jde konkrétně o základní matematické pojmy a přístupy, lineární algebru a elementární geometrii. | ||||||||||||
Course objectives in English | The course is the first part of the four semestr block, Mathematics I - IV. In the entire block, the fundamentals of general algebra, linear algebra and analysis, numerical methods, combinatorics and graph theory, including some applications in probability theory and statistics are presented. The course Mathematics I, in particular, is concerned with the principles of mathematics, linear algebra and elementary geometry. | ||||||||||||
Learning outcomes | |||||||||||||
Learning outcomes in English | |||||||||||||
Syllabus | Skaláry, skalární funkce, kombinatorické příklady a identity, konečná pravdpodobnost, geometrická pravdpodobnost, diferenční rovnice. • Motivační geometrické úlohy v prostoru a v rovině, systémy lineárních rovnic, eliminace proměnných. • Relace a obrazení, injektivní a surjektivní zobrazení, mohutnost množin, ekvivalence a rozklady. • Vektor, vektorový prostor, lineární nezávislost, báze, lineární zobrazení, matice, kalkulus s maticemi a determinanty. • Algebraické aplikace: systémy lineárních rovnic, lineární diferencní rovnice, Markovovy řetězce • Geometrické aplikace: přímka, rovina, rovnice kontra parametrické vyjádření, poloha přímky a roviny, příčka mimoběžek, projektivní rozšírení prostoru, úhel, délka, objem. | ||||||||||||
Syllabus in English | Scalars, scalar functions, combinatorial examples and identities, finite probability, geometric probability, difference equations. • Motivation geometric problems in space and plane, systems of linear equations, elimination of variables. • Relations and mappings, injectiv and surjectiv mappings, set cardinality, equivalences and decompositions. • Vector, vector space, linear independence, basis, linear mappings, matrices, matrix calculus and determinants. • Algebraical applications: systems of linear equations, linear difference equations, Markov chains • Geometrical applications: line, plane, parametric versus non-paramteric descriptions, positioning of planes and lines, projective space extension, angle, lenght, volume. | ||||||||||||
Teaching methods | |||||||||||||
Teaching methods in English | |||||||||||||
Assessment methods | Dvouhodinová přednáška a dvouhodinové přednášená ukázková řešení úloh, spolu s povinnostmi samostatného řešení a odevzdávání úloh se zázemím cvičení. Zakončení písemnou zkouškou na konci semestru, s jednou další v semestru. | ||||||||||||
Assessment methods in English | |||||||||||||
URL | |||||||||||||
Teacher's information | |||||||||||||
Information changed | Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | ||||||||||||
Literature | FUCHS, Eduard. Logika a teorie množin (Úvod do oboru). 1. vyd. Brno: Rektorát UJEP, 1978, 175 s. Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | ||||||||||||
FUCHS, Eduard. Kombinatorika a teorie grafů. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1986, 138 s. Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | |||||||||||||
ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | |||||||||||||
HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | |||||||||||||
HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. Last modified: 31/8/2005 07:11.35, prof. RNDr. Jan Slovák, DrSc. | |||||||||||||
Bookmarks | https://is.muni.cz/ln/tag/FI:MB101! | ||||||||||||
Follow-Up Courses | MB102 Differential and Integral Calculus Last modified: 20/12/2001 12:32.20, prof. RNDr. Ondřej Došlý, DrSc. | ||||||||||||
Validity confirmed | 9/2/2005 14:13, prof. RNDr. Jan Paseka, CSc. | ||||||||||||
Timetable-related information | Mon 16:00--17:50 D1, Mon 16:00--17:50 D2, Mon 16:00--17:50 D3, Tue 14:00--15:50 D1, Tue 16:00--17:50 D1 | ||||||||||||
Seminar groups | MB101/d1Teacher(s): M. PanákLast modified: 11/9/2005 19:36, L. Škarvada open for enrolment from 1/1/2006 17:00 enrolled: 0 student(s), no capacity limit | ||||||||||||
MB101/d2Teacher(s): M. PanákLast modified: 11/9/2005 19:36, L. Škarvada open for enrolment from 1/1/2006 17:00 enrolled: 0 student(s), no capacity limit | |||||||||||||
MB101/01Tue 16:00–17:50 B007Teacher(s): L. ZalabováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/02Tue 18:00–19:50 B007Teacher(s): L. ZalabováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/03Wed 8:00–9:50 B007Teacher(s): A. NávratLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/04Wed 10:00–11:50 B007Teacher(s): A. NávratLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/05Tue 16:00–17:50 B011Teacher(s): T. LipenskýLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/06Tue 18:00–19:50 B011Teacher(s): T. LipenskýLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/07Fri 8:00–9:50 B011Teacher(s): D. DereníkLast modified: 19/9/2005 21:35, D. Dereník open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/08Fri 10:00–11:50 B011Teacher(s): D. DereníkLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/09Wed 18:00–19:50 B003Teacher(s): Z. HencováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/10Wed 8:00–9:50 B011Teacher(s): M. TkadlecováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/11Wed 16:00–17:50 B007Teacher(s): L. ZrůstováLast modified: 22/9/2005 12:20, L. Zrůstová open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 3 | |||||||||||||
MB101/12Thu 18:00–19:50 B003Teacher(s): K. HasilováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/13Thu 10:00–11:50 B003Teacher(s): M. TkadlecováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
MB101/14Thu 8:00–9:50 B003Teacher(s): M. TkadlecováLast modified: 5/9/2005 13:50, L. Škarvada open for enrolment from 12/9/2005 17:00 enrolled: 0 student(s), max. 35 | |||||||||||||
The course is available | only for registration by students (not for Shopping Center) |