MT 382 LATEKS (2016) ARA SINAVI C¸ ¨OZ ¨UMLER
AS¸A ˘GIDAK˙I tex DOSYASININ SAYFANIN ALTINDAK˙I PDF C¸ IKTISINI VERMES˙I ˙IC¸ ˙IN NUMARALI YER- LERE KONMASI GEREKEN METN˙I AYNI NUMARALI KUTUYA YAZINIZ:
1 2 3 4 5 6 7 8 9 10
\end \frac \item \left. enumerate \textrm ˆ \infty \right \]
11 12 13 14 15 16 17 18 19 20
l (veya `) Z & \mathbb } \int center \hline \\ tabular
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\documentclass[11pt,a4paper]{article}\usepackage[latin5]{inputenc} \usepackage{amsmath}
\begin{center} SORULAR 1 {center}
\begin{enumerate}
\item $f(x)=\ln |x| \textrm{ ise } 2 {df}{dx}=\frac {1}{x} $ olur.
3 $ 4 \begin{array}{ccc}
a & b & E\\
c & d & F
\end{array}\right) $
\end{ 5 }
\[ 6 {Euler’ in Form¨ul¨u:}\qquad \sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi 7 {2}} }{6}\]
\[ \lim_{x\to 8 }\left(1+\frac{1}{x} 9 )^x=e 10
\[ \lfloor x \rfloor = \left\lbrace \begin{array}{c 11 } x & x\in\mathbb{ 12 }\ \mathrm{ise} \\
n 13 n<x<n+1\ \mathrm{ise}
\end{array}\right. ,\quad \zeta(s)=\sum_{n=1}^\infty\frac1{n^s}\quad (s\in 14 {C},\ \Re s>1)
\textrm{ (Riemann’ ın zeta fonksiyonu)} \]
\[ \textrm{D-_I. H. T. T. (II. S¸ekli): 15 \quad f,\ [a,b] \textrm{ aralı˘gında s¨urekli ve } F(x)= 16 _{a}^{x}f(t)\, dt \textrm{ ise, her } x\in[a,b] \textrm{ i¸cin }
F’(x)=f(x)\textrm{ olur.}\]
\begin{ 17 }
\begin{tabular}{|l|c|}
18 Ali & Ay¸se \\
\hline Matematik & Biyoloji 19
\hline
\end{ 20 }
\end{center} \end{document}
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SORULAR 1. f (x) = ln |x| ise dxdf = x1 olur.
2. a b E c d F
Euler’ in Form¨ul¨u:
∞
X
n=1
1 n2 = π2
6
x→∞lim
1 +1
x
x
= e
bxc =
x x ∈ Z ise
n n < x < n + 1 ise , ζ(s) =
∞
X
n=1
1
ns (s ∈ C, <s > 1) (Riemann’ ın zeta fonksiyonu) D-˙I. H. T. T. (II. S¸ekli): f, [a, b] aralı˘gında s¨urekli ve F (x) =
Z x a
f (t) dt ise, her x ∈ [a, b] i¸cin F0(x) = f (x) olur.
Ali Ay¸se
Matematik Biyoloji
1
