Příloha č. 14 Informace o písemných přijímacích zkouškách (úplné zadání zkušebních otázek či příkladů, které jsou součástí přijímací zkoušky nebo její části, a u otázek s výběrem odpovědi správné řešení) Doktorské studijní programy Matematika (část Matematická analýza ) Příloha č. 14 Strana 1 (celkem 4)
Matematika (část Matematická analýza ) Příloha č. 14 Strana 2 (celkem 4)
Matematika (část Matematická analýza ) Příloha č. 14 Strana 3 (celkem 4)
Matematika (část Matematická analýza ) Příloha č. 14 Strana 4 (celkem 4)
Příloha č. 15 Informace o písemných přijímacích zkouškách (úplné zadání zkušebních otázek či příkladů, které jsou součástí přijímací zkoušky nebo její části, a u otázek s výběrem odpovědi správné řešení) Doktorské studijní programy Matematika (část Pravděpodobnost a statistika ) Varianta 1 Příloha č. 15 Strana 1 (celkem 3)
Matematika (část Pravděpodobnost a statistika ) Varianta 2 Příloha č. 15 Strana 2 (celkem 3)
Matematika (část Pravděpodobnost a statistika ) Příloha č. 15 Strana 3 (celkem 3)
Příloha č. 16 Informace o písemných přijímacích zkouškách (úplné zadání zkušebních otázek či příkladů, které jsou součástí přijímací zkoušky nebo její části, a u otázek s výběrem odpovědi správné řešení) Doktorské studijní programy Anglický jazyk Read the text below and decide which answer A, B, C or D best fits each gap. There is an example at the beginning (0). Example: (0) A... eager B... fast C... important D... urgent Is the history of the world in (0) need of correction? Some historians, mostly women, argue that insufficient (1) has been paid to a very important group: women. These historians (2) history textbooks to be revised so that they show accurately the role (3) by women. (4) the history books, cavemen (5) most of the food for their families through hunting animals. But the (6) shows that 80% of the diet of prehistoric humans was vegetarian and it was collected by females. (7), women s efforts in fighting in wars or leading revolutions have been ignored. Textbooks concentrate on men such as Hannibal or Che Guevara and neglect (8) women such as Théroigne de Méricourt, an opera singer who led the storming of the Bastille in 1789, or Mariya Bochkareva, a Bolshevik who organised a well-trained and (9) successful troop of 2,000 fighting women during the Russian revolution in 1917. Women rulers are also forgotten. Between 962 and 1582 there were at least 16 women rulers in countries (10) from Italy to Angola. Women (11) up half the human (12). If there is no (13) to their contribution to history in the textbooks, then the real story is not being told. However, many male historians (14) that important female figures have been kept (15) the history books. (1) A... attention B... care C... notice D... study (2) A... ask B... demand C... hope D... want (3) A... done B... got C... had D... played (4) A... According to B... Agreeing with C... Depending on D... Owing to (5) A... arranged B... brought C... gave D... provided (6) A...evidence B... fact C... proof D... sign (7) A... In addition B... In the end C... In time D.. In other words (8) A... main B... outstanding C... particular D... primary (9) A... absolutely B... deeply C... highly D... strongly (10) A... differing B... ranging C... separating D... varying (11) A... count B... hold C... make D... take (12) A... being B... nation C... people D... race (13) A...mention B... note C... record D... reference (14) A... deny B... forbid C... oppose D... refuse (15) A... in B... off C... out of D... up with Příloha č. 16 Strana 1 (celkem 2)
Anglický jazyk Read the text and look carefully at each line. Some of the lines are correct, and some have a word which should not be there. If the line has a word which should not be there, cross that word out (There are two examples at the beginning (0) and (00)). My home town 0 I live in Mexico City. To me, it is the most exciting and most 00 friendliest city in the world, but I have to admit that it can 01 be more uncomfortable and very more stressful than other 02 places. It is the oldest city in North America and was being built 03 on the remains of the Aztec capital, Tenochtitlán. It is also 04 one of the much most modern: new buildings and roads are always 05 being constructed, making districts you thought you knew more well 06 look unfamiliar! If you would feel like a less urban sight, I raise my 07 eyes and look at the mountains which surround the city like as 08 the rim of a dish. In the south east there are two volcanoes. 09 Popocatépetl and Ixtaccíhuatl, which are permanently be covered 10 with snow. If fewer people have had cars in Mexico City, we would 11 be able to enjoy this poetic sight many more often. Unfortunately, 12 the pollution usually prevents you from seeing very far at 13 all. Newcomers, even young ones, sometimes look like as if 14 they are old and sick because the altitude (2,240) can 15 make breathing it difficult at first. But if I could live anywhere in the world, I would still choose Mexico City. Příloha č. 16 Strana 2 (celkem 2)