Angličtina pro matematiky I

Course materials and homework week XII.

 

The Reading Questionnaire
 
Answer Qs first alone, then discuss answers with your neighbor
 
IN YOUR LANGUAGE
 
1. What kinds of things do you read? ………………………………………..
2.What is your favorite time and place to read? …………………………….
3. What is the first book you can remember reading? ………………………
4. What was the last book you read? …………………………………………
5. What are you reading at the moment? …………………………………….
6. Do you read more or less then you used to? ……………………………..
7. Have you got a favorite book or author? ………………………………….
8. Do you think people will read less in the future (because of the Internet)? ………….
 
IN ENGLISH
 
1. How often do you read in English? …………………………………………..
2. What kind of things do you read? …………………………………………….
3. Which of these things do you do when you read in English?
    a) I read things I am interested in.
    b) I read regularly (e.g. 10 minutes a day).
    c) I take an English book with me when I travel.
    d) I always read until the end of a chapter or section.
    e) I try to understand groups of words or sentences, not just individual words.
    f) I try to guess unknown words from the context.
    g) I use a dictionary when I cannot guess important words.
    h) I highlight important words and write them down in a notebook.
 
 
 
 
Now listen to the tape and answer the questions.
 
 1023 Online Reading
 
   http://www.elllo.org/english/1001/1023-Monica-Reading.htm

Monica and Todd discuss how the internet is changing the way people read.
 
1)   What does Monica say about reading?
a) She still reads books.
b) She rarely reads book.
2) What does she say about the internet?
a) She uses it for e-mail mainly.
b) She watches lots of video..
c) She reads books online.
3) Todd reads ______ .
a) books offline
b) magazines online
c) news online
d) news offline
4) Monica usually reads newspapers ______ .
a) offline
b) online
5) Monica reads news online to _____ .
a) save money
b) save paper
c) get more variety
 
 
 
 
 
 
 
Listen again and try to fill in the missing words
 
Todd:So Monica, this week we’re going to talk about technology and how maybe technology changes 1………….. of how we read and how we write, so let’s talk about reading. Do you think you read fewer books now because of the Internet?
Monica: I don’t think I read fewer books now because of the Internet.
Todd: So you still read quite a bit?
Monica: Yeah, recently I’ve been reading quite a bit, but I think it’s more to do with how much 2………….. I have.
Todd: So you don’t think that the internet 3…………..reading time at all? At least for you?
Monica: I would have to say no because I use the internet for slightly different reasons. I use the internet to check my e-mail and communicate with my friends, but reading a book is something completely different that I do for relaxation. So yeah, I don’t think it has 4………. the amount that I read.
Todd: Yeah, you see, for me I think it’s the exact 5……….., it’s pretty bad. I pretty much read everything online, magazines or newspapers, and occasionally I’ll still buy a newspaper but I’ve completely stopped reading books. I just do not read books anymore and I think I’m not alone...I’ve read online, ironically, of other people who say that they’ve stopped reading books because you’re so used to reading online now that the 6……….. process of sitting down and reading a book just isn’t as enjoyable as it used to be.
Monica: Well, having said that it doesn’t 7………… how much I read, I have to say that I have stopped reading newspapers in 8………… form. I tend to check the news items on the websites so, yeah, in that regard, I do read less than I used to.
Todd: So you buy newspapers quite rarely?
Monica: Yeah, exactly. I’m also concerned about the environment so I sort of feel that if I can get the news from the Internet then it’s 9…………… all the trees being cut down and printed into a newspaper form.
 
 
 
 
Listen again and try to fill in the missing words
 
Todd:So Monica, this week we’re going to talk about technology and how maybe technology changes patterns of how we read and how we write, so let’s talk about reading. Do you think you read fewer books now because of the Internet?
Monica: I don’t think I read fewer books now because of the Internet.
Todd: So you still read quite a bit?
Monica: Yeah, recently I’ve been reading quite a bit, but I think it’s more to do with how much spare time I have.
Todd: So you don’t think that the internet eats into reading time at all? At least for you?
Monica: I would have to say no because I use the internet for slightly different reasons. I use the internet to check my e-mail and communicate with my friends, but reading a book is something completely different that I do for relaxation. So yeah, I don’t think it has impacted the amount that I read.
Todd: Yeah, you see, for me I think it’s the exact opposite, it’s pretty bad. I pretty much read everything online, magazines or newspapers, and occasionally I’ll still buy a newspaper but I’ve completely stopped reading books. I just do not read books anymore and I think I’m not alone...I’ve read online, ironically, of other people who say that they’ve stopped reading books because you’re so used to reading online now that the actual process of sitting down and reading a book just isn’t as enjoyable as it used to be.
Monica: Well, having said that it doesn’t affect how much I read, I have to say that I have stopped reading newspapers in hard copy form. I tend to check the news items on the websites so, yeah, in that regard, I do read less than I used to.
Todd: So you buy newspapers quite rarely?
Monica: Yeah, exactly. I’m also concerned about the environment so I sort of feel that if I can get the news from the Internet then it’s saving all the trees being cut down and printed into a newspaper form.
 
 
 
  
Parts of a book – matching (adapted from Study Reading, CUP 1992)
1. Knowing the parts of a book is the first step to using it properly. Study the list of some of the parts of a textbook. Try to match the parts with the correct descriptions.
Parts of a book                                                 Descriptions
1. front cover                                          a) the units of the book
2. title page                                             b) sources used by the author
3. publishing details                               c) a list of the main topics by chapters
4. preface| introduction                           d) a page containing title and author’ s name
5. acknowledgments                               e) an alphabetical list of topics in detail
6. contents                                              f) publisher, place and date of publication
7. chapters                                g) selling points, author information, positive reviews
8. references                                  h) thanks to people who have helped with the book
9. glossary                                      i) the author’ s aims and the coverage of the book
10. index                                           j) a mini-dictionary of specialist terms used
11. back cover or dust jacket blurb   k) title, author and often an illustration in color
 
When you have finished, compare your answers with your neighbor. Use your dictionary to find definitions for these parts:
a)     appendix ……………………………………………………………………………
b)     bibliography………………………………………………………………………….
c)      foreword……………………………………………………………………………..
2. Identify these parts of a textbook . Then compare your answers with your neighbor.

 

Differential equations
 
Listen to the part of the lecture and try to answer questions.
 
 
Transcript - Lecture 16
1] What was the mistake the professor made last time?
     …………………………………………………………………………..
2] Can students find these examples on the Web?
     …………………………………………………………………………..
3] What is the funny topic the professor is going to introduce?
     …………………………………………………………………………..
4] Is this the only course whose subject is differential equations?
     ……………………………………………………………………………
5] What is the easiest kind of differential equation?
     ……………………………………………………………………………
6] What is the antiderivative of x?
     ……………………………………………………………………………
7] What is the purpose of the technique called substitution?
     ……………………………………………………………………………
8] What is the opposite of the annihilation operator?
    …………………………………………………………………………….
9] In which branch of physics are these operators used?
    …………………………………………………………………………….
10] Is this differential equation difficult to solve?
    …………………………………………………………………………….  
 
 
 
  
Listen again and try to fill in the missing words.
 
PROFESSOR: And this last little bit is something which is not yet on the Web. But, anyway, when I was walking out of the room last time, I noticed that I'd written down the wrong formula for c1 - c1. There's a 1……………., there's a minus sign that's wrong. I claimed last time that c1 - c2 was + 1/2. But, actually, it's - 1/2. If you go 2…….... the calculation that we did with the antiderivative of sine x cosine x, we get these two possible answers. And if they're to be equal, then if we just 3……….. them we get c1 - c2 + 1/2 = 0. So c1 - c2 = 1/2. So, those are all of the correction. Again, everything here will be on the Web. But just wanted to make it all clear to you.
So here we are. This is our last day of the second unit, 4………….. of Differentiation. And I have one of the most fun topics to introduce to you. Which is differential equations. Now, we have a whole course on differential equations, which is called 18.03. And so we're only going to do just a little bit. But I'm going to teach you one technique. Which 5………… in precisely with what we've been doing already. Which is differentials. The first and simplest kind of differential equation dy/dx = some function, f (x). Now, that's a perfectly good differential equation. And we already discussed last time that the solution; that is, the function y, is going to be the antiderivative, or the 6……………., of x. Now, for the purposes of today, we're going to consider this problem to be solved. That is, you can always do this. You can always take antiderivatives. And for our purposes now, that is for now, we only have one technique to find antiderivatives. And that's called substitution.
It has a very small variant, which we called 7…………. guessing. And that works just as well. And that's basically all that you'll ever need to do. As a practical 8………, these are the ones you'll face for now. Ones that you can actually see what the answer is, or you'll have to make a substitution. Now, the first 9……….. example, or the first maybe interesting example of a differential equation, which I'll call Example 2, is going to be the following. (d / dx + x)y = 0. So that's our first differential equation that were going to try to solve. Apart from this 10……….. antiderivative approach. This operation here has a name. This actually has a name, it's called the annihilation operator. And it's called that in quantum mechanics. And there's a corresponding creation operator where you change the sign from plus to minus. And this is one of the simplest differential equations. The reason why it's studied in quantum mechanics all it that it has very simple solutions that you can just write out. So we're going to solve this equation. It's the one that governs the ground state of the harmonic 11……….. So it has a lot of fancy words associated with it, but it's a fairly simple differential equation and it works perfectly by the method that we're going to 12…………….
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