Основные математические понятия в английском языке. Прокошева И.И. - 25 стр.

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10.1.3. Match the columns
1
ΧΥΙ
a) the integral of 2x dx is x
2
2
2
2 xdxx =
∫
b) exponential functions
3
т
c) y equals the negative square root of the
difference z squared minus x squared
4
2
22
711
+
+
=
y
d) the intersection of Y and X
5
22
xzy −−=
e) y equals the sum of a (sub) K, x of the power of
k, taken k equal to zero to k equal 4
6
xy ln=
f) rational fractional functions
7
∑
=
=
4
k
ak
k
axy
g) radical
10.1.4. Give the examples of the functions:
Model: Trigonometric function is Y=sin x
• rational integral functions
• rational fractional functions
• irrational functions
• exponential functions
• trigonometric functions
• inverse trigonometric functions
Unit 11.Expressions concerning intervals and limits
Look through the table and try to memorize it.
Signs reading
(a, b)
open interval a b
[]
ba,
closed interval a b
(
]
ba,
half – open interval a b, open on the left and closed on the
right
X =
()
+∞∞− ;
Capital x equals the open interval minus infinite plus
infinite
X →
0
x
x approaches x nought; or x tends to x nought
Lxf
xx
=
→
)(lim
1
the limit of f x as x tends to x one is capital L
)()(lim
0
0
xfxf
xx
≠
→
the limit of f of x tends to x nought is not equal to f of x
nought
0lim =
∞→
n
x
a
the limit of a sub n is zero as n tends to infinity
25
  10.1.3. Match the columns
1    ΥΙ Χ                 a)                             the integral of 2x dx is x2
2 ∫ 2 xdx = x 2
                          b)                               exponential functions
3             т                       c)         y equals the negative square root of the
                                                  difference z squared minus x squared
4             11 + 7                  d)               the intersection of Y and X
       y=
              2 + 22
5 y = − z2 − x2                       e)    y equals the sum of a (sub) K, x of the power of
                                                  k, taken k equal to zero to k equal 4
6           y = ln x                  f)               rational fractional functions
7                 4
                                      g)                           radical
      y=      ∑ ax     k

              k =a k



    10.1.4. Give the examples of the functions:
                          Model:            Trigonometric function is Y=sin x
       • rational integral functions
       • rational fractional functions
       • irrational functions
       • exponential functions
       • trigonometric functions
       • inverse trigonometric functions


                           Unit 11.Expressions concerning intervals and limits

                Look through the table and try to memorize it.
    Signs                  reading
    (a, b)                 open interval a b
    [a, b]                 closed interval a b
    (a, b]                 half – open interval a b, open on the left and closed on the
                           right
    X = (− ∞;+∞ )          Capital x equals the open interval minus infinite plus
                           infinite
    X → x0                 x approaches x nought; or x tends to x nought
    lim f ( x) = L         the limit of f x as x tends to x one is capital L
    x→ x1

    lim f ( x) ≠ f ( x0 )          the limit of f of x tends to x nought is not equal to f of x
    x → x0
                                   nought
    lim a n = 0                    the limit of a sub n is zero as n tends to infinity
    x →∞




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