- •Grammar Revision
- •Indefinite Tenses (Active)1
- •Continuous Tenses (Active)1
- •Perfect tenses (Active)1
- •1. Read the text. To understand it better consult active vocabulary:
- •Active Vocabulary
- •4. Study the text and answer the following questions:
- •1. Read the names of the faculties. Give Ukrainian equivalents:
- •2. Read the names of the specialities. Give Ukrainian equivalents:
- •3. Look through the email and answer the following questions:
- •Active Vocabulary
- •2. Are these statements true or false? If they are false, say why. Use the following phrases:
- •3. Study the letter and answer the following questions:
- •1. Read the names of the schools. Give Ukrainian equivalents:
- •2. Read the names of the departments. Give Ukrainian equivalents:
- •3. Look through the email and answer the following questions:
- •History
- •Undergraduate Academics
- •Active Vocabulary
- •2. Are these statements true or false? If they are false, say why. Use the following phrases:
- •3. Study the letter and answer the following questions:
- •Grammar and Vocabulary Exercises
- •1. Find English equivalents to the following words and word combinations in the texts of the unit:
- •2. Translate the following words and word combinations from English into Ukrainian and use them in the sentences of your own:
- •3. Find in the texts synonyms for the following words and expressions and use them in the sentences of your own:
- •4. Complete the following sentences in the context of the above information:
- •6. Put the verb in brackets in the correct tense form:
- •8. Make the sentences from Ex. 6 negative. Conversational Practice
- •1. Learn the following expressions relating to the communication of opinions. Translate them into Ukrainian.
- •2. Discuss the following questions in the context of the topics of Unit 1, using as many of the above expressions as possible. Compare Ukraine and the usa.
- •3. Ask your friend the following questions, present the results to the whole group.
- •4. Translate the following words and word-combinations:
- •5. Interview Maksym in English. Find out what he knows about the faculty he studies at:
- •Writing
- •Extended reading
- •Grammar Revision Словотвір в текстах функціонального стилю науки
- •Основні префікси та їх значення
- •Основні суфікси іменників
- •Основні суфікси прикметників
- •Основні суфікси дієслів
- •Основні суфікси прислівників
- •Конверсія
- •Словоскладання
- •2. Learn to recognize the following international words and give their Ukrainian equivalents:
- •What is an Electronic Computer?
- •Grammar and Vocabulary Exercises
- •1. Study the Table of word-building means given in Grammar Revision.
- •3. Form the words after the model and translate them into Ukrainian:
- •9. For each definition write a word from the text:
- •Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •Conversational Practice
- •1. Suppose that the information in the statement is insufficient. Repeat the statement and add your own reasoning, thus developing the idea. Use the following phrases:
- •Computers
- •2. Answer the following questions:
- •3. Reconstruct the text “Computers” into a dialogue.
- •4. Annotate the text in English. Use the phrases:
- •Writing
- •Extended reading
- •The Internet Computer.
- •Grammar Revision Passive Voice
- •Modals with the Passive Voice
- •2. Learn to recognize international words:
- •Hardware – Software – Firmware
- •Grammar and Vocabulary Exercises
- •11. Combine the words from the left-and right-hand columns to make word-combinations. Translate them into Ukrainian:
- •12. Compose sentences with the words and phrases from Ex. 11.
- •13. Write an appropriate word or phrase in the following spaces:
- •Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •Conversational Practice
- •1. Agree with the following statements, adding your own comments. Use the introductory phrases:
- •2. Suppose that the information in the statement is insufficient. Repeat the statement and add your own reasoning, thus developing the idea. Use the following phrases:
- •3. Express your personal view on the statement given below. Use the following phrases:
- •4. Give a short summary of the text.
- •1. Read and translate the text: Computer Crime
- •2. Answer the following questions:
- •3. Reconstruct the text “Computer Crime” into a dialogue.
- •4. Annotate the text in English. Use the phrases:
- •Writing
- •Extended reading
- •Boolean Algebra
- •Grammar Revision Modal Verbs
- •2. Learn to recognize international words:
- •Artificial Intelligence. Is it Possible?
- •Grammar and Vocabulary Exercises
- •1. Look through the text and find sentences with Modal Verbs. Translate them into Ukrainian.
- •3. Choose the proper equivalents of the Modal Verbs:
- •4. Underline the affixes, state what part of speech they indicate and translate the following words into Ukrainian:
- •5. Give the Ukrainian equivalents of the following words and word-combinations:
- •6. Use the words from Ex. 5 to complete the following sentences:
- •Reading Comprehension
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Study the text and answer the following questions:
- •Conversational Practice
- •1. Agree or disagree with the statements given below. Use the introductory phrases and develop the idea further. Use the following phrases:
- •2. Choose the definition of artificial intelligence which, to your mind, is the correct one. Justify your choice:
- •3. Debate the given statement. It is advisable that the group be divided into two parties, each party advocating their viewpoint. Use the following introductory phrases:
- •4. Give a short summary of the text.
- •1. Read and translate the text:
- •2. Answer the following questions:
- •3. Reconstruct the text “Turing’s test” into a dialogue.
- •4. Annotate the text in English. Use the phrases:
- •5. Discuss the problems. The following phrases may be helpful:
- •6. Summarize the text briefly. Writing
- •Extended reading
- •To be One with the Computer
- •Grammar Revision Sequence of Tenses
- •2. Learn to recognize international words:
- •The World of Hypotheses. Was Einstein Right?
- •Active Vocabulary
- •Grammar and Vocabulary Exercises
- •1. Look through the text and find Complex Sentences. Translate them into Ukrainian.
- •2. Join the two simple sentences to make a complex sentence. Mind the sequence of tenses rule:
- •3. Turn the following statements into indirect speech:
- •4. Define meanings of the following words by their affixes:
- •5. Study the text and give Ukrainian equivalents for the following words and word-combinations:
- •Reading Comprehension
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •Conversational Practice
- •1. Agree or disagree with the following statements. Begin your answer with the following phrases:
- •2. Discuss the statements trying to prove your point of view. Use the following phrases:
- •3. Give a short summary of the text.
- •1. Read and translate the text: Gravitation
- •2. Answer the following questions:
- •3. Reconstruct the text “Gravitation” into a dialogue.
- •4. Annotate the text in English. Use the phrases:
- •Writing
- •Extended reading
- •Grammar Revision The Infinitive /інфінітив/
- •1) Як іменник інфінітив може бути:
- •2) Як дієслово інфінітив може
- •Форми інфінітива та їх комунікативні значення.
- •The Infinitive Constructions Інфінітивні звороти та їх функції у реченні. Складний додаток /Complex Object/
- •Складний підмет /Complex Subject/
- •Прийменниковий інфінітивний комплекс (The for-to-Infinitive –Construction)
- •Функції прийменникового інфінітивного комплексу
- •2. Learn to recognize international words:
- •The Theory of Equations
- •Grammar and Vocabulary Exercises
- •1. Look through the text and find sentences with the Infinitive and the Infinitive Constructions. Translate them into Ukrainian.
- •2. Translate the following sentences into Ukrainian:
- •7. Look through the text and give English equivalents for the following words and word-combinations:
- •8. Combine the words from the left-and right-hand columns to make word-combinations. Translate them into Ukrainian:
- •9. Compose sentences in English using the word-combinations from Ex. 8. Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •Conversational Practice
- •1. Choose one of the words given below and illustrate the concept:
- •2. Discuss the statements given below. Summarize the discussion. Use the following phrases:
- •3. Give a short summary of the text.
- •1. Read and translate the text: The Early Algebra Babylonian Algebra – Rhetorical Style
- •Algebra in Egypt
- •Early Greek Algebra
- •Hindu and Arabic Algebra
- •Algebra in Europe
- •2. Answer the following questions:
- •3. Reconstruct the text “The early Algebra” into a dialogue.
- •4. Agree with the statements given below and develop the idea further. Use the introductory phrases:
- •5. Annotate the text in English. Use the phrases:
- •6. Discuss the statements given below. Use the following phrases:
- •Writing
- •Extended reading
- •Grammar Revision
- •Утворення дієприкметників.
- •Функції Participle I, II в реченні
- •Дієприкметникові звороти
- •Складний додаток /Complex Object/
- •Складний підмет /Complex Subject/
- •Незалежний дієприкметниковий зворот (The Absolute Participial Construction)
- •Способи перекладу “незалежного дієприкметникового зворота” на українську мову.
- •2. Learn to recognize international words:
- •Informatics
- •Active Vocabulary
- •Grammar and Vocabulary Exercises
- •1. Study the text and find sentences with the Participle. Translate them into Ukrainian.
- •2. Translate the following sentences into Ukrainian:
- •3. Observe the time of occurrence, expressed by a Participle:
- •10. Compose sentences with the words and word-combinations from Ex.9. Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •4. Give the definitions of the terms “information” and “informatics”:
- •Conversational Practice
- •1. Agree or disagree with the statement given below. Use the introductory phrases and develop the idea further. Use the following phrases:
- •2. Discuss the following statement. Use the given phrases:
- •3. Give a short summary of the text.
- •1. Read and translate the text:
- •2. Answer the following questions:
- •3. Reconstruct the text “Cybernetics” into a dialogue.
- •4. Annotate the text in English. Use the phrases:
- •5. Discuss the statements given below:
- •Writing
- •Extended reading
- •Grammar Revision.
- •1) Як іменник герундій може:
- •2) Як дієслово герундій (перехідного дієслова)2 може:
- •Форми герундія та їх комунікативні значення. Форми герундія неперехідного дієслова
- •Форми герундія перехідного дієслова
- •Порівняйте:
- •2. Learn to recognize international words:
- •Mystery of Memory
- •Active Vocabulary
- •Grammar and Vocabulary Exercises
- •1. Study the text, and find sentences with the Gerund. Translate them into Ukrainian.
- •2. Translate the following sentences into Ukrainian:
- •8. Combine the words from the left-and right-hand columns to make word-combinations. Translate them into Ukrainian:
- •9. Compose sentences in English using the word-combinations from Ex. 8. Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •Conversational Practice
- •5. Give a short summary of the text.
- •1. Read and translate the text: The Memory of the Modern Supercomputers
- •Active Vocabulary
- •2. Answer the following questions:
- •3. Reconstruct the text “The Memory of the Modern Supercomputers” into a dialogue.
- •4. Annotate the text in English. Use the phrases:
- •5. Discuss the problems trying to prove your point of view. Use the following phrases:
- •Writing
- •Extended reading
- •The Brain
- •2. Learn to recognize international words:
- •Math Concepts
- •Grammar and Vocabulary Exercises
- •1. Grammar revision.
- •1. Imperative Sentences.
- •2. Indefinite Tense-Aspect Forms.
- •3. Questions.
- •4. Negations.
- •8. Compose sentences with the words and word-combinations from Ex.7. Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following question:
- •4. Give the definitions of the terms “the real number system” and “the maths of number”:
- •Conversational Practice
- •1. Disagree with the following negative statements and keep the conversation going where possible. Begin your answer with the opening phrases:
- •2. Agree or disagree with the statements. Use the introductory phrases:
- •4. Practise problem questions and answers. Work in pairs. Change over!
- •5. What is implied in the following assertion?
- •6. Discuss the statements given below. Use the following phrases:
- •7. Give a short summary of the text.
- •1. Read and translate the text: Programming. Multiprogramming
- •2. Answer the following questions:
- •3. Reconstruct the text into a dialogue. The main rules governing a conversation in English:
- •4. Annotate the text in English. Use the phrases:
- •5. Read the statements and develop the idea further. Use the given phrases:
- •Writing
- •Extended reading
- •The Internet Programming Languages
- •2. Learn to recognize international words:
- •Automated Factory Update
- •Active Vocabulary
- •Vocabulary Exercises
- •1. Look through the text and give Ukrainian equivalents of the following words and word-combinations:
- •2. Look through the text and give Ukrainian equivalents of the following words and word-combination:
- •3. Look through the text and find words with the same meaning:
- •4. Look through the text and find words with opposite meaning:
- •5. Combine the words from the left- and right-hand columns to make word-combinations. Translate them into Ukrainian:
- •6. Compose sentences in English using the word combinations from Ex.5. Reading Comprehension
- •1. Review the whole text again. Outline the subject matter of the text, its components structure, topic sentences and main ideas. Use the following phrases:
- •2. Say whether the following statements are true or false. Justify your choice. Use the given phrases:
- •3. Answer the following questions:
- •4. Give the terms to the following definitions:
- •Conversational Practice
- •1. Clarify what we mean by the following statements:
- •2. Discuss the advantages of cim comparing traditional manufacturing and computer-integrated manufacturing. The schemes given below will be helpful.
- •3. Debate the given problem. It is advisable that the group be divided into two parties, each party advocating their viewpoint. Use the following introductory phrases:
- •4. Give a short summary of the text.
- •1. Read and translate the text:
- •Active Vocabulary
- •2. Answer the following questions:
- •3. Reconstruct the text “Planning and Justifying Factory Automation Systems” into a dialogue. The main rules governing a conversation in English:
- •4. Annotate the text in English. Use the phrases:
- •5. Express your personal view on the statement “Integrated problems require integrated solutions”. Use the following phrases:
- •Writing
- •1. Using texts a and b of Unit 10 write a composition on “My future profession”. Take into account the following outlines or give your own version.
- •Extended reading
- •Control Engineering
- •Control Engineering Practice
- •2. "Can a computer have a mind?" Provide answers to this question, discussing it with Internet community. Consult Roger Penrose's Penguin book "The Emperor's New Mind", if necessary.
- •1. Using Internet try to find out all you can about the land of Tor'Bled-Nam.
- •2. What is the very essence of mathematical visualization? Key-words: magnification, abstract mathematics, complex numbers, miracles of mathematics.
- •1. Try to find additional information about black and white holes.
- •2. Find out the names dealt with these problems/ approaches/ theories/ hypotheses.
- •3. Present your ideas on the given subject for the students' research society.
- •1. Find the film "Time Travel".
- •2. Discuss it at the students' on line conference.
- •Appendix II
- •1. Study all the texts, collect information and write two-pages-long compositions on each of the following topics:
- •2. The following questions may direct you:
- •Number Theory and its Founders
- •Pierre de Fermat
- •Leonhard Euler
- •Georg Friedrich Bernhard Riemann
- •Active Vocabulary
- •The Greek Genius
- •Natural Numbers
- •Real Numbers
- •Toward Mathematical Structure
- •Structures
- •Appendix III greek alphabet
- •Wording Mathematical Formulae
- •Giving an Oral Presentation
- •Список рекомендованої літератури
- •Contents
Appendix III greek alphabet
|
alpha |
альфа |
|
nu |
ні (ню) |
|
beta |
бета |
|
xi |
ксі |
|
gamma |
гама |
|
omikron |
омікрон |
|
delta |
дельта |
|
pi |
пі |
|
epsilon |
іпсилон |
|
rho |
po |
|
(d)zeta |
дзета |
|
sigma |
сигма |
|
eta |
ета |
|
tau |
тау |
|
theta |
тета |
|
upsilon |
іпсилон |
|
iota |
йота |
|
phi |
фі |
|
kappa |
капа |
|
chi |
хі |
|
lambda |
лямбда |
|
psi |
псі |
|
mu |
мі (мю) |
|
omega |
омега |
Nouns of Latin and Greek Origin
Singular |
Plural |
Singular |
Plural |
|
a) -on (-um) → -a [ə] |
||||
continuum |
continua |
maximum |
maxima |
|
континуум |
|
максимум |
|
|
criterion |
criteria |
medium |
media |
|
критерій |
|
середовище |
|
|
curriculum |
curricula |
minimum |
minima |
|
навчальний план |
|
мінімум |
|
|
datum |
data |
momentum |
momenta |
|
задана величина |
|
кількість руху |
|
|
equilibrium |
equilibria |
phenomenon |
phenomena |
|
рівновага |
|
явище |
|
|
infinitum |
infinita |
polyhedron |
polyhedra |
|
нескінченність |
|
багатогранник |
|
|
latus rectum |
latera recta |
quantum |
quanta |
|
фокальний параметр |
|
квант |
|
|
symposium |
symposia |
vacuum |
vacua |
|
симпозіум |
|
вакуум |
|
|
spectrum |
spectra |
stratum |
strata |
|
спектр |
|
шар |
|
|
b) -is [is] -ix [iks] |
→ -es [i:z] |
|||
analysis |
analyses |
emphasis |
emphases |
|
аналіз |
|
емфаза |
|
|
axis |
axes |
hypothesis |
hypotheses |
|
вісь |
|
гіпотеза |
|
|
basis |
bases |
index |
indices |
|
базис |
|
покажчик |
|
|
crisis |
crises |
matrix |
matrices |
|
криза |
|
матрица |
|
|
directrix |
directrices |
parenthesis |
parentheses |
|
директриса |
|
дужка |
|
|
vertex |
vertices |
phasis |
phases |
|
вершина |
|
фаза |
|
|
thesis |
theses |
synthesis |
syntheses |
|
тезис, дисертація |
|
синтез |
|
|
с) -us [əs] → -i [ai] |
||||
calculus |
calculi |
modulus |
moduli |
|
числення, матема-тичний аналіз |
|
модуль |
|
|
focus |
foci |
nucleus |
nuclei |
|
фокус |
|
ядро |
|
|
genius |
genii |
radius |
radii |
|
геній |
|
радіус |
|
|
locus |
loci |
rhombus |
rhombi |
|
геометричне місце точок |
|
ромб |
|
|
d) Similar Forms |
||||
an apparatus |
apparatus |
a means |
means |
|
апарат, прилад |
|
засіб |
|
|
a headquarters |
headquarters |
a series |
series |
|
штаб |
|
ряд |
|
|
news |
news |
a species |
species |
|
новина |
|
вид |
|
|
e) -а [ə] → -ae [i:] |
||||
|
|
Modern Forms |
||
abscissa |
abscissae |
abscissas |
crilerions |
|
абсциса |
|
formulas |
hyperbolas |
|
hyperbola |
hyperbolae |
geniuses |
indices |
|
гіпербола |
|
radiuses |
terminuses |
|
formula |
formulae |
mediums |
nucleuses |
|
формула |
|
indexes |
spectrums |
|
corona |
coronae |
rhombuses |
vacuums |
|
корона |
|
lacunas |
maximums |
|
lacuna |
lacunae |
|
|
|
пустота |
|
|
|
|
nebula |
nebulae |
|
|
|
туманність |
|
|
|
Mathematical Symbols and Signs
|
plus |
– |
minus |
|
plus or minus |
|
multiplication sign |
|
point (1.5 – one point five) |
|
division sign; ratio sign |
|
sign of equality (equals, (is) equal to) |
|
(is) not equal to |
~ |
difference |
|
approximately equal; approaches |
|
greater than |
|
less than |
|
equal or greater than |
|
equal or less than |
|
infinity |
|
the square root (out) of |
|
the cube root (out) of |
|
the -th root (out) of |
|
brackets, square brackets (pl) |
|
parentheses, round brackets (pl) |
|
braces (pl) |
|
empty set |
|
tends to, corresponds to |
|
belongs to |
|
is contained in |
|
is not contained in |
|
integral of |
|
integral between limits and |
|
integral from to |
|
A barred |
|
vector; the mean value of |
|
tilded |
|
star |
|
prime |
|
double prime |
|
sub, first |
|
sub , -th |
|
to the power |
|
sub prime |
|
limit (of) |
|
the limit as becomes infinite |
|
maximum |
|
maximum over belongs to |
|
minimum |
|
minimum over belongs to of |
|
the first derivative of |
|
function |
, |
function of |
|
increment of |
|
summation |
|
the sum from belongs to |
|
the sum from equals 0 to equals |
|
differential of |
|
the first derivative of with respect to , over |
|
the second derivative of with respect to |
|
the first derivative of with respect to |
|
of |
|
(where) is equal to 1, 2 and so on |
|
(where) runs from zero to |
|
Laplacian |
|
union of sets and |
|
intersection of sets and |
|
is a subset of |
|
gradient of the function |
|
modulus of
|
|
|
|
is equal to the maximum over of the sum from equals one to equals of the modulus of of , where lies in the closed interval and where runs from one to . |