Міністерство освіти і науки України

ОДЕСЬКИЙ НАЦІОНАЛЬНИЙ ПОЛІТЕХНІЧНИЙ УНІВЕРСИТЕТ

Методични вказівки

до практичних занять з англійської мови

за спеціальностю “Прикладна математика”

Одеса ОНПУ 2009

Міністерство освіти і науки України

ОДЕСЬКИЙ НАЦІОНАЛЬНИЙ ПОЛІТЕХНІЧНИЙ УНІВЕРСИТЕТ

Методични вказівки

до практичних занять з англійської мови

за спеціальностю 7080202 « Прикладна математика»

для студентів II курсу

Затверджено

на засіданні каф. Іноземних мов

Протокол №8 від 24 березня 2009р.

Одеса ОНПУ 2009

Методичні вказівки до практичних занять з англійської мови за спеціальністю 7080202 “Прикладна математика ” для студентів ІІ курсу / Укл.Т.І Борисенко ,М.С Кривошеїна, М.В Цинова Одесса – 2009., ОНПУ 34 c.

Укладачі: Борисенко Т.І кандидат філол. наук, доцент

Кривошеїна М.С, асистент

Цинова М.В, ст. викл.

Зміст

стор

Передмова 4

Lesson 1 5

Lesson 2 8

Lesson 3 11

Lesson 4 14

Lesson 5 17

Lesson 6 20

Lesson 7 23

Lesson 8 26

Lesson 9 29

Lesson 10 32

Передмова

Метою “Методичних вказiвок” є формування впродовж 72 годин аудиторних занять у студентів (вхідний рівень володіння мовою – В1) вмiнь та навичок читання, письма та говоріння за тематикою спеціальності «Прикладна математика» на ІІ курсі навчання Інституту бізнесу економіки та інформативних технологій (вихідний рівень володіння мовою – В2). За рахунок тренування і виконання читання текстів і комунікативних завдань студенти зможуть досягти практичного володіння англійською мовою за фахом.

Практичне володіння іноземною мовою в рамках даного курсу припускає наявність таких умінь в різних видах мовної комунікації, які дають можливість:

• вільно читати оригінальну літературу іноземною мовою у відповідній галузі знань;

• оформляти витягнуту з іноземних джерел інформацію у вигляді перекладу або резюме;

• робити повідомлення і доповіді іноземною мовою на теми, пов'язані з науковою роботою майбутнього фахівця;

• вести бесіду за фахом.

Кожний урок складається з тексту й комплексу мовних вправ, які розраховані на удосконалення навичок активізації словарного і граматичного мінімуму професійного спрямування.

“Методичні вказівки” забезпечують підготовку до міжнародного усного і письмового спілкування англійською мовою для спеціальних цілей, а саме - оволодіння лексичними, граматичними і стилістичними навичками, а також умінням розмовляти, читати, переписуватися, перекладати, конспектувати, згортати | і розгортати усну і письмову англомовну інформацію наукового функціонального стилю, що передбачено вимогами Програми вивчення іноземних мов у нефілологічному ВУЗі.

Lesson 1

Read the text: Divisions of applied mathematics

There is no consensus of what the various branches of applied mathematics are. Such categorizations are made difficult by the way mathematics and science change over time, and also by the way universities organize departments, courses, and degrees.

Historically, applied mathematics consists of differential equations, approximation theory (broadly construed, to include representations, asymptotic methods, variational methods, and numerical analysis), principally of applied analysis, most notably applied probability. These areas of mathematics were intimately tied to the development of Newtonian Physics, and in fact the distinction between mathematicians and physicists was not sharply drawn before the mid-19th century. This history left a legacy as well; until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities rather than in physics departments, and fluid mechanics may still be taught in applied mathematics departments.

Today, the term applied mathematics is used in a broader sense. It includes the classical areas above, as well as other areas that have become increasingly important in applications. Even fields such as number theory that are part of pure mathematics are now important in applications (such as cryptology), though they are not generally considered to be part of the field of applied mathematics Sometimes the term applicable mathematics is used to distinguish between the traditional field of applied mathematics and the many more areas of mathematics that are applicable to real-world problems.

Mathematicians distinguish between applied mathematics, which is concerned with mathematical methods, and applications of mathematics within science and engineering. A biologist using a population model and applying known mathematics would not be doing applied mathematics, but rather using it. However, nonmathematicians do not usually draw this distinction.

The line between applied mathematics and specific areas of application is often blurred. Many universities teach mathematical and statistical courses outside of the respective departments, in departments and areas including business and economics, engineering, physics, psychology, biology, computer science, and mathematical physics. Sometimes this is due to these areas having their own specialized mathematical dialects. Often this is the result of efforts of those departments to gain more student credit hours and the funds that go with them

After text activity

I. Reading Exercises:

Exercise 1. Read and memorize using a dictionary:

A branch, applied mathematics, to consist of ,differential equations, respective departments, fluid mechanics, cryptology, approximation theory, asymptotic method, applied probability, to distinguish, increasingly important

Exercise 2. Answer the questions:

What are the main branches of applied mathimatics?

Why is it so difficult to make such categorizations?

Which fields of mathematics were intimately tied to the development of Newtonian Physics?

How isthe term applied mathematics used in a broader sense nowadays?

What do many universities teach?

Exercise 3. Match the left part with the right:

1) There is no consensus of what	a) have become increasingly important in applications
2) It includes the classical areas above, as well as other areas that	b) and the many more areas of mathematics that are applicable to real-world problems.
3) Sometimes the term applicable mathematics is used to distinguish between the traditional field of applied mathematics	c) specific areas of application is often blurred.
4) The line between applied mathematics and	d) the various branches of applied mathematics are.

II. Speaking Exercises:

Exercise 1. Describe Applied mathematics historically, Сategorizations of applied mathematics, specific areas of applied mathematics, applications of mathematics using the suggested words and expressions as in example:

Applied mathematics historically

approximation theory , applied analysis, , areas of mathematics, differential equations, applied probability, consists of

Example

Historically applied mathematics consists of differential equations, approximation theory, principally of applied analysis, most notably applied probability.

Сategorizations of applied mathematics

Difficult, mathematics, science, change, over time, organize departments, courses, degrees.

specific areas of applied mathematics

departments, areas , economics, engineering, physics, , computer science, mathematical physics, psychology, biology, business

applications of mathematics

science, engineering, would not be doing, applied mathematics, population model, biologist

Exercise 2. Ask questions to the given answers:

1)Question:___________________________________________________?

Answer: They gain more student credit hours and the funds that go with them

2)Question:___________________________________________________?

Answer: Sometimes the term applicable mathematics is used to distinguish between the traditional field of applied mathematics and the many more areas of mathematics.

3)Question______________________________________________________?

Answer: The line between applied mathematics and specific areas of application is often blurred.

4)Question____________________________________________________?

Answer: Today, the term applied mathematics is used in a broader sense:

III. Writing exercises:

Exercise 1. Complete the sentences with the suggested words: methods, engineering, , nonmathematicians, distinguish

Mathematicians _________________between applied mathematics, which is concerned with mathematical_____________, and applications of mathematics within science and___________. A biologist using a population model and applying known mathematics would not be doing applied mathematics, but rather using it. However__________________ do not usually draw this distinction

Exercise 2. Fill in the table with words and expressions from the text:

	parts	place	processes
Example This history left a legacy as well; until the early 20th century subjects such as classical mechanics were often taught in		applied mathematics departments at American universities rather than in physics departments	-
Even fields such as number theory that are part of
Sometimes this is due to these areas
Many universities teach mathematical and statistical courses outside of

Exercise 3. Compose a story on one of the topics (up to 100 words):

“Applied mathematics historically”

“Applied mathematics today”

“Specific areas of applied mathematics “