- •Unit I
- •Notes to be paid attention to
- •Text a group theory
- •Post-Reading Activity
- •I think that it right. I’m afraid I can’t agree with you.
- •I quite agree with you. On the contrary. Far from it.
- •A) an Attribute b) an Adverbial Modifier
- •Text b galois’s contribution to group theory
- •Unit II
- •Grammar: the absolute participle construction.
- •Nominative Absolute Participle Construction
- •(Самостоятельный причастный оборот)
- •Text a sets
- •Post-Reading Activity.
- •I fully agree to it. Not quite. It’s unlikely.
- •I don’t think this is the case. Just the reverse.
- •Text b set theory
- •Unit III Grammar: the gerund. Its forms and functions. Forms of the gerund
- •Text a ordinary differential equations
- •Post-Reading Activity
- •I fully agree to it. Not quite. It’s unlikely.
- •I don’t think this is the case. Just the reverse.
- •Text b the application of differential equations
- •Unit IV grammar: the infinitive. Its forms and functions. The Forms of the Infinitive
- •The Functions of the Infinitive
- •I. Subject.
- •II. Object.
- •III. Adverbial modifier of purpose or result.
- •IV. Predicative or Part of Predicate.
- •V. Attribute (in post- position)
- •Reading Activity text a equation and locus
- •Post-Reading Activity.
- •Text b particular species of loci
- •Unit V
- •Grammar: the infinitive constructions.
- •The objective with the infinitive. Construction (complex object)
- •The nominative with the infinitive construction (complex subject).
- •Text a functions and graphs
- •Post-Reading Activity
- •Text b. Functions
- •Основные понятия функции.
- •Unit VI
- •If the driver had been more careful last Sunday, the accident wouldn’t have happened.
- •Mixed Conditionals.
- •Inversion
- •Text a curves
- •Post-Reading Activity
- •Text b curves
- •Unit VII grammar: the subjunctive mood.
- •Text a surfaces
- •Post-Reading Activity.
- •Text b Surface
Post-Reading Activity.
Ex. 7. Answer the following questions:
1. What is a set? 2. What are the elements of the set? 3. What sets are of interest in mathematics? 4. What do we use to represent sets and elements? 5. What set is considered to be known? 6. What is the simplest way of specifying a set? 7. What is the standard notation for a set? 8. What sets are equal? 9. How can we specify the elements of a set? 10. How many members may a set have? 11. What is an empty set? 12. How is an empty set represented? 13. Does an empty set exist at all?
Ex. 8. Match the English words and word combinations with the Russian equivalents.
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Ex. 9. Fill in the blanks with the words from the box.
empty, members, to list, notation, specifying, difference, precisely, the same |
1. The objects belonging to the set are the elements or … of the set. 2. There are many ways of … a set. 3. The simplest way of specifying a set is … all the members. 4. The standard … is to enclose the list in curly brackets. 5. Two sets are equal if they have … elements. 6. The order inside the brackets makes no … 7. Instead of a list, we give a property which specifies … the elements. 8. A set with no elements is called an … set.
Ex. 10. Ask questions for which the given sentences are answers.
1. A set is a collection of objects. (What?) 2. The objects belonging to the set are the elements or members of the set. (Which?) 3. The sets of interest in mathematics always have members which are abstract mathematical objects. (What?) 4. In the algebra of sets we use letters to represent sets and elements. (Where?) 5. A set is considered to be known if we know what its elements are. (When?) 6. There are many ways of specifying a set. (How many?) 7. The standard notation is to enclose the list in curly brackets. (What?) 8. Two sets are equal if they have the same elements. (When?) 9. Instead of a list, we give a property which specifies precisely the elements of the set. (What?) 10. For sets with infinitely many members, it is impossible to give a complete list. (Which?) 11. The mathematical notion of a set allows sets with only one member or even no members at all. (What?) 12. A set with no elements is called an empty set. (What?) 13. All empty sets are equal. (What?)
Ex. 11. Find out whether the statements are true or false. Use introductory phrases.
Exactly. Quite so. Quite the contrary.