Практичне заняття №4

Тема: В банку. Державна та іноземна валюта

1. Put the verbs into the form of Future Perfect.

Translate the sentences.

1. By this time tomorrow, I (finish) the project. 2. By 8 o'clock, the kids (fall) asleep. 3. By tomorrow morning, he (sleep) wonderfully. 4. By next year, she (receive) her promotion. 5. Robin (sell) his car by next Sunday. 6. Morgan (clean) the entire house by lunch. 7. We (dance) a few dances before midnight. 8. At this time tomorrow morning, they (begin) working. 9. At this time next week, we (catch) the thief. 10. At 2013, I (live) in Madrid for 5 years. 11. At 2020, they (work) here for 20 years. 12. By September, Julie (teach) us for over a year. 13. By October, I (study) English for 3 months. 14. At Monday, she (wait) for 2 weeks. 15. Before Saturday, you (do) all of your homework.

2. Put the verbs in brackets into the form of Future Perfect or Future Continuous.

Translate the sentences.

1. This time tomorrow, Maria on a beach in Majorca. (sunbathe) 2. Wake me up by nine o'clock - I long enough by then. (sleep) 3. Look, I can give you a lift to the station - I that way anyway. (drive) 4. It's strange that when we get to Sydney, we half way round the world. (fly) 5. Don't phone me between 7 and 8. We dinner then. (have) 6. Phone me after 8 o'clock. We dinner by then. (finish) 7. Tomorrow afternoon we're going to play tennis from 3 o'clock until 4.30. So at 4 o'clock, we tennis. (play) 8. Do you think you the same job in ten years' time? (still/do) 9. By the time you get home I the house from top to bottom. (clean) 10. Tom is on holiday and he is spending his money very quickly. If he continues like this, he all his money before the end of his holiday. (spend)

ІІ. Робота над текстом за темою заняття.

1. Read the dialogue and translate it into Ukrainian.

-Excuse me .Can you change me some money, please?

-Please tell how much you want to change?

-300 U.S. dollars.

-What kind of currency do you want?

-Japanese yen. Could you tell me what the exchange rate between U.S. dollar and Japanese yen.

- OK. Today's buying rate is 12200 yen per 100 U.S. dollars.

-How much could I get for 300 U.S. dollars?

-Let me see. It comes to 36600 Japanese yen. Could I see your passport, please?

-Here it is.

-OK, please sign the receipt in duplicate. Please go to the cashier at Counter Eight. The teller at Counter Eight will pay you against your number slip

(At Counter Eight)

-Do I get money here?

-Yes, show me your number slip, please.

-Here you are.

-Your cash and exchange memo. Please check them and keep them well.

-Thank you.

-That's OK.

2. Match the word to its definition.

1. In duplicate a) the system or type of money that a country uses

2. Cash b) to get money from one country

for the same value of money from another country

3. Currency c) money in the form of coins or notes rather than cheques

4. To change d) someone whose job is to receive or pay out money in a shop or a bank

5. Cashier e) a piece of paper that you are given which shows that you have paid for something

6. Receipt f) there are two copies of it.

3. Find the English equivalents of the words and word combinations below.

Be ready for dictation.

Розписуватися, перевіряти, паспорт, курс купівлі, у двох екземплярах, квитанція, довідка (відмітка) про обмін, касир, курс обміну, валюта, отримувати гроші.

4. Learn the dialogue by heart and be ready for role-playing with your friend.

IV. Робота над текстом за професійним спрямуванням

1. Read the text and translate it into Ukrainian.

2. Translate the words in bold, write them out into your dictionaries and be ready for dictation.

Text

Axioms constitute the second major component of any branch of mathematics. Up to the XIX century axioms were considered as basic self-evident truths about the concepts involved. We know now that this view ought to be given up. The objective of mathematical activity consists of the theorems deduced from a set of axioms. The amount of information that can be deduced from some sets of axioms is almost incredible. The axioms of number give rise to the results of algebra, properties of functions, the theorems of the calculus, the solutions of various types of differential equations. Mathematical theorems must be deductively established and proved. Much of the scientific knowledge is produced by deductive reasoning; new theorems are proved constantly, even in such old subjects as aglebra and geometry and the current developments are as important as the older results.

Growth of mathematics is possible in still another way. Mathematicians are sure now that sets of axioms which have no bearing on the physical world should be explored. Accordingly, mathematicians nowadays investigate algebras and geometries with no immediate applications. There is, however, some disagreement among mathematicians as to the way they answer the question: Do the concepts, axioms, and theorems exist in some objective world and are merely detected by man or are they entirely human creations? In ancient times the axioms and theorems were regarded as necessary truths about the universe already incorporated in the design of the world. Hence each new theorem was a discovery, a disclosure of what already existed. The contrary view holds that mathematics, its concepts, and theorems are created by man. Man distinguishes objects in the physical world and invents numbers and number names to represent one aspect of experience. Axioms are man's generalizations of certain fundamental facts and theorems may very logically follow from the axioms. Mathematics, according to this view-point, is a human creation in every respect. Some mathematicians claim that pure mathematics is the most original creation of the human mind.

3. Choose the title to the text above in accordance with its content.

a. Mathematical theorems

b. Axioms as the second major component of any branch of mathematics

c. Mathematical concepts

d. Geometry as the second branch of mathematics.

4. Match the equivalents.

A	B
1.axiom 2. concept 3. theorem 4. deduce 5. calculus 6. function 7. differential equation 8. prove 9. geometry 10. pure mathematics	а) концепция b) чистая математика с) геометрия d) аксиома e)дифференциальное уравнение f) доказывать g) выводить h) функция i) вычисления j) теорема

5. Fill in the gaps with the suitable words from the text.

1. ... constitute the second major component of any branch of mathematics.

a) geometries b) theorems

c) differential equations d) axioms

2. The objective of mathematical activity consists of the ... deduced from a set of axioms.

a) functions b) theorems

c) concepts d) notions

3. The … of number give rise to the results of algebra.

a) axioms b) functions

c) calculus d) geometries

4. Mathematical ... must be deductively established and proved.

a) axioms b) concepts

c) theorems d) numbers

5. Some mathematicians claim that ... is the most original creation of human mind.

a) pure mathematics b) geometry

c) theorems d) concepts

hematics is the most original creation of the human mind.

6. Choose correct answers to the questions.

1. What is the second major component of any branch of mathematics?

a) axiom b) concept

c) notion d) theorem

2. What was considered as the basic self-evident truth about concepts up to the 19^th century?

a) proofs b) axioms

c) calculus d) theorems

3. What may very logically follow from the axioms?

a) functions b) axioms

c) theorems d) set of notions

4. How is scientific knowledge produced?

a) by deductive reasoning b) by experience

c) from a set of axioms d) by mathematical calculus

5. How do mathematicians nowadays investigate algebra and geometry?

a) with immediate application b) with no immediate application

c) without any application d) with one application

7. Choose the right variant translation of the underlined words

1. Up to the XIX -century axioms were considered as basic self-evident truth about the concepts involved.

a) считались b) считаются с) считают

2. Mathematical theorems must be deductively established and proved.

a) должны будут основываться и доказываться

b) должны быть основаны и доказаны

c) должны были быть основаны и доказаны

3. Much of the scientific knowledge is proved by deductive reasoning.

a) обоснованием b) были обоснованы

c) будут обоснованы

4. New theorems are proved constantly, even in such old subjects as algebra and geometry and the current developments are as important as the older results.

a) доказываются b) доказали

c) были доказаны

5. In ancient times the axioms and theorems were regarded as necessary.

a) рассматриваются b) рассматривались

c) были рассмотрены

6. The objective of mathematical activity consists of the theorems deduced from some sets of axioms.

a) выведенные b) выводили

c) выводят