- •Предисловие
- •Contents
- •Unit I numbers
- •Text I. Introduction to real - number system
- •I. Translate the definitions of the following mathematical terms.
- •II. Match the terms from the left column and the definitions from the right column:
- •III. Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •IV. Translate the following sentences into English.
- •Text II. Rational and irrational numbers
- •Match the terms from the left column and the definitions from the right column:
- •Translate into Russian.
- •Text III. Geometric representation of real nunbers and complex numbers
- •Match the terms from the left column and the definitions from
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and the definitions from
- •IV. Write a short summary to the text.
- •V. Translate the paragraphs into Russian.
- •Unit 2 fundamental arithmetical operations
- •I. Read and write the numbers and symbols in full according to the way they are pronounced:
- •Text I. Four Basic Operations of Arithmetic
- •Translate the definitions of the following mathematical terms.
- •Match the terms from the left column and the definitions from
- •Read the sentences and think of a word which best fits each space.
- •IV. Complete the following definitions.
- •Numbers and Fundamental Arithmetical Operations.
- •Read and translate the following sentences. Write two special questions to each of them. Then make the sentences negative.
- •Give the English equivalents of the following Russian words and word combinations:
- •Translate the text into English.
- •Write a summary to the text. Primes
- •Unit 3 advanced operations
- •I. Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Summarize the major point of the text.
- •VI. Read and translate the text.
- •VII. Translate the text into English.
- •Vocubalary
- •VIII. Match the words and the definitions:
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and the definitions from the right column:
- •Translate the text into English. Натуральные логарифмы
- •Unit 4 higher матнематics basic terminology
- •I. Series - ряд
- •II. Infiniтesimal calculus - исчисление бесконечно малых величин
- •I. Read and translate the sentences.
- •II. Match the terms from the left column and definitions from the right column:
- •Read the sentences and think of a word which best fits each space.
- •IV. Give the Russian equivalents of the following words and word combinations:
- •V. Complete the sentences.
- •VI. Read and translate the following sentences. Write 3-4 special questions to eaсh of them:
- •Give the English equivalents of the following words and word combinations:
- •Match the words and the definitions:
- •Translate the definitions of the following mathematical terms:
- •Text II. A sequence and a series
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and the definitions from the right column:
- •Checking vocabulary in advanced operations & higher mathematics
- •I. Choose the appropriate answer.
- •Text I. The meaning of geometry
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and definitions from the right column:
- •Read the sentences and think of a word which best fits each space.
- •Text II. Angles
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and definitions from the right column:
- •III. Give the Russian equivalents of the following words and word combinations:
- •Answer the questions on the text "Angles".
- •Text III. A polygon
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and definitions from the right column:
- •Give the Russian equivalents of the following words and word combinations:
- •Give the English equivalents of the following words and word combinations:
- •Answer the questions on the text.
- •Read and translate the sentences and the questions.
- •Match the words and the definitions:
- •Translate the text into English. Треугольники.
- •Text IV. The cartesian coordinate system
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and the definitions from
- •Read and translate the sentences.
- •Give the English equivalents of the following words and word combinations:
- •Read the sentences and think of a word which best fits each space.
- •Translate the paragraphs into English.
- •Read and translate the following sentences. Write 2-3 special and tag questions to each of them.
- •Put the words in the correct order to make the sentences.
- •Give the English equivalents of the following words and word combinations:
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Match the terms from the left column and the definitions from the right column:
- •Read the definitions and decide what terms are defined.
- •Translate the text into English. Многогранник
- •Read and translate the following sentences. Write 2-3 special and tag questions to each of them:
- •Read the definitions and decide what terms are defined.
- •Read and decide which of the statements are true and which are false. Change the sentences so they are true.
- •Translate the definitions of the following mathematical terms.
- •Translate the sentences into English.
- •XIX. Translate the text into English. Призма
- •Checking vocabulary in geometry
- •Translate the text without using a dictionary. Parabola
- •Use the figure for completing the following statements.
- •Translate the following sentences.
- •Complete the sentences with the following words:
- •Part II mathemaтical symbols and expressions
- •Reading of mathemaтical expressions
- •Addition and subtraction
- •Multiplication
- •Base Two Numerals
- •Closure property
- •Something about Mathematical Sentences
- •Rational Numbers
- •Decimal numerals
- •The differential calculus
- •VIII. Rays, angles, simple closed figures
- •IX. Something about euclidean and non-euclidean geometries
- •X. Circles
- •XI. The solids
- •XII. Polyhedron
- •XIII. The pythagorean property
- •Proof of the Pythagorean Theorem
- •XIV. Square root
- •Appendix sample test from gmat
- •Active vocabulary
Contents
Предисловие |
3 |
PART 1 |
6 |
UNIT 1 “Numbers” |
6 |
UNIT 2 “Fundamental arithmetical operations” |
14 |
UNIT 3 “Advanced operations” |
21 |
UNIT 4 “Higher mathematics” |
27 |
Checking vocabulary in Advanced Operations and Highest Mathematics |
35 |
UNIT 5 “Geometry” |
37 |
Checking vocabulary in Geometry |
55 |
PART 2 |
59 |
MATHEMAТICAL SYMBOLS AND EXPRESSIONS |
59 |
READING OF MATHEMAТICAL EXPRESSIONS |
62 |
PART 3 ADDITIONAL READING |
64 |
Text 1 “Matriculation algebra” |
64 |
a) Definitions |
64 |
b) Addition and subtraction |
70 |
c) Multiplication |
72 |
Text 2 “Base two numerals” |
75 |
Text 3 “Closure property” |
76 |
Text 4 “Something about mathematical sentences” |
77 |
Text 5 “Rational numbers” |
78 |
Text 6 “Decimal numbers” |
79 |
Text 7 “The differential calculus” |
81 |
Text 8 “Rays, angels, simple closed figures” |
82 |
Text 9 “Something about Euclidean and Non-Euclidean geometry” |
85 |
Text 10 “Circles” |
86 |
Text 11 “The Solids” |
87 |
Text 12 “Polyhedron” |
88 |
Text 13 “The Pythagorean property” |
89 |
Text 14 “Square root” |
91 |
APPENDIX: SAMPLE TEST FROM GMAT |
93 |
ACTIVE VOCABULARY |
105 |
Unit I numbers
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BASIC TERMINOLOGY |
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9658 - ABSTRUCT NUMBER - отвлеченное число |
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А FOUR - FIGURE NUMBER - 4-х значное число |
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9 - thousands - тысячи |
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6 - hundreds |
- сотни |
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5 - tens |
- десятки |
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8 - units |
- единицы |
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5 КG. - CONCRETE NUMBER - именованное число |
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2 |
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- CARDINAL NUMBER - количественное число |
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2nd
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- ORDINAL NUMBER |
- порядковое число |
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+ 5 |
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- P0SIТIVE NUMBER |
- положительное число |
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- 5 |
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- NEGATIVE NUMBER - отрицательное число |
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а, b, с...... - ALGEBRAIC SYMBOLS - алгебраические символы |
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3 1/3 |
- MIXED NUMBER - смешанное число |
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3 |
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- WНOLE NUMBER (INTEGER) - целое число |
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1/3 |
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- FRACTION - дробь |
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2, 4, 6, 8 - EVEN NUMBERS - четные числа |
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1,3,5,7 - ODD NUMBERS - нечетные числа |
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2, 3, 5, 7 - PRIME NUMBERS - простые числа |
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3+2-1 |
- COMPLEX NUMBER - комплексное число |
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3 |
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- REAL PART |
- действительное число |
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2-1 |
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- IMAGINARY PART |
- мнимая часть |
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2/3 |
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- PROPER FRACTION - правильная дробь |
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2 |
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- NUMERATOR |
- числитель |
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3 |
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- DENOMINATOR |
- знаменатель |
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3/2 |
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- IMPRORER FRACTION - неправильная дробь |
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