- •Zahola n., Mynda o., Spenik Sz. English for Mathematicians
- •Isbn isbn 978-966-2095-20-3 © Загола н.В.
- •Contents
- •Vocabulary Notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Read the following numbers:
- •III. Make up a dialogue on the text. Lesson 2 addition
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Give the Hungarian equivalent for the following words and word combinations. Use them in sentences of your own:
- •Vocabulary Notes
- •Exercises
- •II. Give the Ukrainian for the following words and word combinations. Use them in sentences or questions of your own:
- •Lesson 4 multiplication
- •Vocabulary Notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Give the Hungarian equivalents for the following words and word combinations. Use them in sentences of your own:
- •III. Multiply the following numbers orally:
- •Lesson 5 division
- •Vocabulary Notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Give the Ukrainian words for the words and word combinations. Use them in the sentences of your own:
- •III. Divide the following numbers orally:
- •Lesson 6 algebraic expression
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Give the Hungarian for the following words and word combinations. Use them in sentences of your own:
- •Lesson 7 equations and proportions
- •Vocabulary Notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Give Hungarian translation for the following words and word combinations. Use them in the sentences of your own:
- •Lesson 8 decimal numerals
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text.
- •II. Are the following statements true or false according to the text?
- •III. Say the following in English.
- •IV. Form derivatives from the following words and translate them into Hungarian:
- •V. Find the following words and word combinations in the text. Guess their meanings. Make up your own sentences with them.
- •VI. Ask questions to which the following sentences could be answers.
- •Lesson 9 decimal and common fractions
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text:
- •III. Write your own examples of different types of fractions and read them in English. Lesson 10 mathematical sentences
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Read the following mathematical sentences and decide whether they are open or closed, true or false.
- •IV. Say the following in English.
- •V. Translate the following sentences into Hungarian paying attention to the words in bold type.
- •VI. Make up 5 open and 5 closed true/false sentences.
- •VII. Find the odd word out:
- •Lesson 11 rational numbers
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text.
- •II. Find the following words and word combinations in the text. Guess their meanings. Make up your own sentences with them.
- •III. According to the text the following statements are either true or false. If you think they are false, say why. Begin your statements with:
- •IV. Say the following in English.
- •VI. Ask questions to which the following sentences could be answers.
- •Lesson 12
- •Irrational numbers
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text.
- •II. Change the sentences to negative and to question form.
- •III. Form derivatives from the following words and translate them:
- •IV. Find in the text the following words and word combinations. Guess their meanings. Make up your own sentences with them.
- •Part II Lesson 1 geometry
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text.
- •II. According to the text are the following statements true or false? If you think they are false, say why. Begin your statements with:
- •III. Find the following words and word combinations in the text. Guess their meanings. Make up your own sentences with them.
- •IV. Write questions to which the words in bold type in the following sentences are the answers:
- •V. Find synonyms to the following words in the text, translate them into Hungarian:
- •VI. Give English equivalents to the Hungarian nouns in the left column using English verbs in the right column.
- •VII. Translate the dialogue into English and reproduce it in pairs:
- •Vocabulary Notes
- •Lesson 2 from the history of geometry
- •Vocabulary Notes
- •Exercises
- •I. According to the text, are the following statements true or false?
- •V. Find English equivalents to the given sentences in the text.
- •VI. Translate the following sentences into Hungarian, paying attention to the words in bold type. Make your own sentences with them.
- •VII. Match each word on the left with its translation on the right.
- •Lesson 3 the meaning of geometry
- •Vocabulary notes Babylonia – Babilónia
- •Exercises
- •II. According to the text are the following statements true or false? If you think they are false, say why. Begin your statements with:
- •III. Ask questions using the question words in brackets. Translate the given sentences.
- •IV. Find in the text the following words and word combinations. Guess their meanings. Make up your own sentences with them.
- •V. Form derivatives from the following words and translate them into Hungarian:
- •VI. Find in the text antonyms to the following words. Translate them into Hungarian:
- •Lesson 4 rays, angles, simple closed figures
- •Simple Closed Figures
- •Vocabulary Notes
- •Exercises
- •I. Answer the following questions on the text:
- •II. Choose the right name for the following figures. There is one extra name.
- •III. Translate into Hungarian the following geometrical definitions. Learn them by heart.
- •IV. Read the following text, say into how many logical parts it could be divided and render it either in English or Hungarian. Something about Euclidean and Non-Euclidean Geometries
- •Lesson 5 c ircles
- •Vocabulary Notes
- •Exercises
- •I. Answer the questions on the text:
- •II. Write a plan of the text “Circles”.
- •III. Translate the following sentences into Hungarian paying attention to the words in bold type.
- •IV. Say the following in English:
- •Lesson 6 the pythagorean property
- •Proof of the Pythagorean Theorem
- •Vocabulary notes
- •Exercises
- •I. Answer the questions on the text:
- •II. Ask questions using the question-words in brackets:
- •III. A) Speak on the Pythagorean Property. Draw a picture to help you while speaking.
- •IV. Read the text below and render it either in English or in Hungarian. Square Root
- •V. Translate the following into English:
- •VI. Submit your theorem in English according to the pattern.
- •Vocabulary notes
- •Exercises
- •I. Agree or disagree with the following:
- •II. Find out in the text the following word-combinations. Use them in sentences of your own:
- •III. Match each word on the left with its translation on the right.
- •IV. Read the text. Fill in the chart given below about a desktop personal computer Fantasy x22.
- •VI. Translate into Hungarian paying attention to the words in bold type.
- •VII. Try to remember.
- •VIII. Discussion.
- •IX. Choose the proper name to each part of the computer.
- •Lesson 2 from the history of computers
- •Vocabulary notes
- •Exercises
- •I. Read the text. Write the key questions about it to ask your fellow-students.
- •II. In the sentences below some statements are true and some are false. Copy out the true statements.
- •III. Check if you know the meaning of the following words. Translate them into Hungarian:
- •IV. Pay attention to the following words. Try to remember them.
- •V. Translate the following sentences into Hungarian paying attention to the words in bold type.
- •VI. Translate into English.
- •VII. Read the information about masters of invention. Be ready to speak about Charles Babbage and Howard Aiken. Charles Babbage (1792-1871).
- •Charles Babbage, Master Inventor
- •Howard Aiken (1900-1973).
- •Howard Aiken, a Step Toward Today
- •Lesson 3 what is a computer?
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions.
- •II. What is the Hungarian for:
- •IV. Match the word on the left with its translation on the right.
- •V. Pay attention to the following words. Try to remember them.
- •VI. Translate the following sentences into Hungarian.
- •VII. A) Read the text. Computers
- •Lesson 4 computers: the software and the hardware
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions.
- •III. Pay attention to the following terms. Try to remember them.
- •IV. Translate the following sentences into English.
- •V. Translate the following sentences into Hungarian paying attention to the words in bold type.
- •VI. Read the text and put key questions.
- •Lesson 5 windows
- •Vocabulary notes
- •Exercises
- •I. Read the text to find answers to the following questions.
- •II. Find in the text definitions of the terms you find to be the most important to you.
- •III. According to the text agree or disagree with the following.
- •V. Translate into English.
- •VI. Pay attention to the following terms. Try to remember them.
- •VII. Translate into Hungarian.
- •VIII. Topic “The computer we use at the university”.
- •Lesson 6 communication with computer
- •Vocabulary notes
- •Exercises
- •I. Read the text. Write the key questions about it to ask your fellow students.
- •II. In the sentences below some statements are true and some are false. Copy out the true statements.
- •III. Find out in the text the following word-combinations. Use them in sentences of your own.
- •V. Make the right choice and fill in the blanks.
- •VI. Translate the following into Hungarian.
- •VII. Look through the text. List the principal ideas.
- •VIII. Topic for discussion: Modern Programming Languages. Lesson 7 computer networks
- •Vocabulary notes
- •Exercises
- •I. Read the text and answer the following questions.
- •II. According to the text agree or disagree with the following statements.
- •III. Translate into English:
- •IV. Pay attention to the following terms. Try to remember them.
- •V. Translate into Hungarian.
- •VI. Read quickly through the text below, then make the summary.
- •Lesson 8 what is the internet?
- •Vocabulary notes
- •Exercises
- •I. Read the text .Write the key questions about it to ask your fellow students.
- •II. In the sentences below some statements are true and some are false. Copy out the true statements.
- •III. Find out the following word-combinations in the text. Translate them into Hungarian:
- •IV. Translate into Hungarian.
- •V. Translate into English.
- •VI. Read the information about the Internet. List the principle ideas.
- •VII. Retell the text. The name internet
- •Lesson 9
- •Internet innovations
- •I. Do you use the Internet? How often do you use it?
- •II. Before reading the text match the following technological words to their definitions.
- •III. Read the text.
- •What’s New?
- •Vocabulary notes
- •IV. Answer the questions.
- •V. Read the following text and answer the questions after it.
- •Questions
- •VI. Read the text about Internet cheats. Make notes about it. Discuss it with your group mates. Cheating.Com
- •VIII. Choose the correct answer to the questions.
- •Vocabulary notes
- •Exercises
- •I. Answer the following questions on the text:
- •Lesson 2 mathematics – the queen of science
- •Vocabulary notes
- •Exercises
- •I. Answer the questions on the text:
- •II. Find in the text English equivalent for:
- •IV. Find in the text words with the suffixes –al, -ous, -ment, -y, -ly. Define what part of speech they form. Translate the words into Hungarian.
- •Texts for additional reading
- •What is mathematics
- •Text 2 mathematics - the language of science
- •Text 3 myths in mathematics
- •Text 4 mathematics and art
- •Part V Outstanding mathematicians
- •Vocabulary Notes
- •Text 2. Pierre de Fermat.
- •Text 3. N.I.Lobachevsky (1792-1856 ).
- •Text 4. M.V. Keldysh.
- •Text 5. Isaac Newton.
- •Text 6. Johann Carl Friedrich Gauss
- •Text 7. Blaise Pascal
- •Mathematical symbols and expressions
- •Reading of mathematical expressions
- •Список використаної літератури:
- •Загола н.В., Минда о.І., Шпеник с.З., Ярославцева к.В.
- •Навчально-методичний посібник для студентів математичного факультету
Exercises
I. Answer the following questions.
1. Are computers capable of storing and manipulating numbers, letters and characters?
2. In what way can we make computers do what we want?
3. What is the basic job of computers?
4. How can computers be defined?
5. Where must the program be kept?
6. What devices can be used for outputting information?
II. What is the Hungarian for:
complex network, electronic circuit, to store numbers, to input signals, to accept information, to perform logical operation, to solve the problem, input device.
Ш. Translate into English.
beilleszt, töröl, vissza, belépés, keresés, beállítás, fő menű, az információ bevitele, információ kijelzése.
IV. Match the word on the left with its translation on the right.
1) next tip 2) recycle bin 3) icons 4) task bar 5) settings 6) toolbar 7) desktop 8) help |
a. feladatsáv b. eszköztár c. beállítások d. asztal e. lomtár f. súgó g. következő javaslat h. ikonok |
V. Pay attention to the following words. Try to remember them.
cut – kivágás
clipboard – vágólap
copy – másolás
paste – beillesztés
cancel – visszavonás
display – megjelenít (a képernyőn)
print – nyomtatás
folder – mappa
cursor – kurzor
scanner – szkenner
printer – nyomtató
modem – modem
VI. Translate the following sentences into Hungarian.
The word computer comes from a Latin word which means to "count." Devices to assist working with numbers have been in existence as long as there have been numbers. The first was the abacus, which made use of the bi-quinary number system some several thousand years before its application several modern computers. The first mechanical computer was built by Pascal in 1642; a better device was built by Leibnitz in 1673. The first Soviet computers were built under the guidance of the outstanding academician A. Lebedev.
There are different kinds of computers. Some do only one job over and over again. These are special-purpose, computers,. But there are some computers that can do many different jobs. They are called general-purpose computers. These are the "big brains" that solve the most difficult problems of science. They answer questions about rockets and planes, bridges and ships — long before these things are even built. Computers help our space program, our business and industry, medicine and education. They are powerful tools which help to change our life and the world around us.
VII. A) Read the text. Computers
A computer is really a very specific kind of counting machine. It can do arithmetic problems faster than any person alive. By means of electric processes it can find the answer to a very difficult and complicated problem in a few seconds.
A computer can "remember" information you give it. It keeps the information in its "memory" until it is needed.
There are different kinds of computers. Some can do only one job. These are special-purpose computers. Each specific problem requires a specific computer. One kind of computer can help us to build a spaceship; an other kind can help us navigate it. A special-purpose computer is built for this purpose alone and cannot do anything else.
But there are some computers that can do many different jobs. They are called the general-purpose computers. These are the big "brains" that solve the most difficult problems of science.
We used to think of a computer as a large machine that took up a whole room. But today computers are becoming smaller and smaller. Though these small devices are called microcomputers or minicomputers, they are still true computers.
The most important parts of a general-purpose computer are as follows: 1) memory, where information is kept; 2) an arithmetic unit for performing calculations; 3) a control unit for the correct order of operations; 4) input devices; 5) output devices for displaying the results of calculations. The input and output devices are called peripherals.
There are several advantages in making computers as small as one can. Sometimes weight is particularly important. A modern plane carries many heavy electronic apparatus. If it is possible to make any of them smaller, it can carry a bigger weight. But weight is not the only factor. The smaller the computer, the faster it can work. The signals go to and for at a very high but almost constant speed.
Some of the first computer cost millions of dollars, but people quickly learned that it was cheaper to let a million dollar computer make the necessary calculations than to have a hundred clerks trying to do the same by hand. Scientists found that computers made fewer mistakes and could fulfill the tasks much faster than almost any number of people using usual methods. The computers became popular. As their popularity grew the number of factories producing them also grew.
b) Choose the correct answer.
1) A computer is a kind of _____ |
||||||||
A. a counting machine |
B. a typewriter |
C. a table game |
D. a TV set |
|||||
2) Computer could be used to _____ |
||||||||
A. play games |
B. solve difficult problems |
C. cook meals |
D. save money |
|||||
3) The text tells us about special-purpose computers and _____ |
||||||||
A. all-purpose computers |
B. calculators |
C. general-purpose computers |
D. ordinary computers |
|||||
4) There are _____ most important parts in a general-purpose computer. |
||||||||
A. very many |
B. five |
C. two |
D. ten |
|||||
5) The smaller the computer, the _____ it can work. |
||||||||
A. more effectively |
B. slower |
C. better |
D. faster |
|||||
6) Output devices serve for displaying the _____ |
||||||||
A. nice pictures |
B. diagrams |
C. results of calculations |
D. words |
|
||||
7) Some of the first computers cost _____ |
||||||||
A. hundreds of dollars |
B. millions of dollars |
C. thousands of pounds |
D. thousands of hryvnas |
|||||
8) It is cheaper to let the expensive computer do the job than to _____ |
||||||||
A. have a hundred clerks |
B. do the job oneself |
C. buy another computer |
D. waste your time and efforts |
|||||
9) Computers can fulfill the tasks much _____ than any number of people using the traditional methods. |
||||||||
A. cleverer |
B. better |
C. faster |
D. worse |
|||||
10) Computers became very _____ |
||||||||
A. large |
B. small |
C. expensive |
D. popular |