diff options
Diffstat (limited to 'day1')
| -rw-r--r-- | day1/day1quiz1.tex | 158 | ||||
| -rw-r--r-- | day1/day1quiz2.tex | 226 | ||||
| -rw-r--r-- | day1/exercise/aliquot.py | 9 | ||||
| -rw-r--r-- | day1/exercise/collatz.py | 9 | ||||
| -rw-r--r-- | day1/exercise/datestring.py | 34 | ||||
| -rw-r--r-- | day1/exercise/pytriads.py | 14 | ||||
| -rw-r--r-- | day1/session1.tex | 2 | ||||
| -rw-r--r-- | day1/session4.tex | 13 |
8 files changed, 423 insertions, 42 deletions
diff --git a/day1/day1quiz1.tex b/day1/day1quiz1.tex index d0da0dd..ee1fe83 100644 --- a/day1/day1quiz1.tex +++ b/day1/day1quiz1.tex @@ -58,4 +58,162 @@ On the top right hand corner please write down the following: \end{itemize} \end{frame} +\begin{frame}[fragile] +\frametitle{\incqno } +Draw (roughly) the plot obtained by the following: +\begin{lstlisting} +In []: x = linspace(0, 2*pi, 3) +In []: plot(x, sin(x)) +\end{lstlisting} +\end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% Describe the plot produced by the following: +%% \begin{lstlisting} +%% In []: x = linspace(0, 2*pi, 50) +%% In []: plot(x, cos(x), 'go') +%% \end{lstlisting} +%% \end{frame} + +\begin{frame} +\frametitle{\incqno } +How will you plot the previous graph with line width set to 3? How will +you set the $x$ and $y$ labels of the plot? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +How will you set the x and y axis limits so that the region of interest +is in the rectangle $(0, -1.5)$ (left bottom coordinate) and $(2\pi, +1.5)$ (right top coordinate)? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +What ipython magic command do you use to obtain the lines of code you have already typed in the interpreter? What command do you use to save them? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +The following code snippet has an error/bug: +\begin{lstlisting} +In []: y = linspace(0, 2*pi, 50) +In []: plot(y, sin(y)) +In []: clf() +In []: plot(y, cos(y)) +In []: legend(['sin(y)', 'cos(y)']) +\end{lstlisting} +What is the error? How do you fix it? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } + \begin{lstlisting} + In []: a = [1, 2, 5, 9] + In []: a[0:-1] + \end{lstlisting} + What is the output? +\end{frame} + +\begin{frame} +\frametitle{\incqno } + How do you combine two lists \emph{a} and \emph{b} to produce one list? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } + \begin{lstlisting} + In []: a = [1, 2, 5, 9] + \end{lstlisting} + How do you add the value 10 to the end of this list? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +Write the code to read a file \texttt{data.txt} and print each line of it? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +What would be the result of the following code snippet: +\begin{lstlisting} +In []: x = linspace(0, 10, 50) +In []: y = linspace(50, 100, 100) +In []: plot(x, y) +\end{lstlisting} +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +The following code snippet has an error/bug: +\begin{lstlisting} +In []: l = [0.1, 0.2, 0.3, 0.4] +In []: t = [0.69, 0.90, 1.19, 1.30] +In []: tsq = [] +In []: for time in t: + ....: tsq.append(time*time) + ....: plot(l, tsq) +\end{lstlisting} +What is the error? How do you fix it? +\end{frame} + +\begin{frame} +\frametitle{\incqno } + A sample line from a Comma Separated Values (CSV) file:\\ + \vspace*{0.2in} + \emph{Rossum, Guido, 42, 56, 34, 54}\\ + \vspace*{0.2in} + What code would you use to separate the line into fields? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } + \begin{lstlisting} + In []: a = [1, 2, 5, 9] + \end{lstlisting} + How do you find the length of this list? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } + \begin{lstlisting} + In [1]: d = { + 'a': 1, + 'b': 2 + } + In [2]: print d['c'] + \end{lstlisting} + What is the output? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} +In []: sc = {'A': 10, 'B': 20, + 'C': 70} +\end{lstlisting} +Given the above dictionary, what command will you give to plot a +pie-chart? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} +In []: marks = [10, 20, 30, 50, 55, + 75, 83] +\end{lstlisting} +Given the above marks, how will you calculate the \alert{mean} and +\alert{standard deviation}? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} +In []: marks = [10, 20, 30, 50, 55, + 75, 83] +\end{lstlisting} +How will you convert the list \texttt{marks} to an \alert{array}? +\end{frame} + \end{document} diff --git a/day1/day1quiz2.tex b/day1/day1quiz2.tex index 05ab609..539e1e5 100644 --- a/day1/day1quiz2.tex +++ b/day1/day1quiz2.tex @@ -61,6 +61,232 @@ On the top right hand corner please write down the following: \end{itemize} \end{frame} +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} +In []: a = array([[1, 2], + [3, 4]]) +In []: a[1,0] = 0 +\end{lstlisting} +What is the resulting array? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} + In []: x = array(([1,2,3,4], + [2,3,4,5])) + In []: x[-2][-3] = 4 + In []: print x +\end{lstlisting} +What will be printed? +\end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% \begin{lstlisting} +%% In []: x = array([[1,2,3,4], +%% [3,4,2,5]]) +%% \end{lstlisting} +%% What is the \lstinline+shape+ of this array? +%% \end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} + In []: x = array([[1,2,3,4]]) +\end{lstlisting} +How to change \lstinline+x+ to \lstinline+array([[1,2,0,4]])+? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} + In []: x = array([[1,2,3,4], + [3,4,2,5]]) +\end{lstlisting} +How do you get the following slice of \lstinline+x+? +\begin{lstlisting} +array([[2,3], + [4,2]]) +\end{lstlisting} +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} + In []: x = array([[9,18,27], + [30,60,90], + [14,7,1]]) +\end{lstlisting} +What is the output of \lstinline+x[::3,::3]+ +\end{frame} + + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} +In []: a = array([[1, 2], + [3, 4]]) +\end{lstlisting} +How do you get the transpose of this array? +\end{frame} + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} +In []: a = array([[1, 2], + [3, 4]]) +In []: b = array([[1, 1], + [2, 2]]) +In []: a*b +\end{lstlisting} +What does this produce? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +What command do you use to find the inverse of a matrix and its +eigenvalues? +\end{frame} + +%% \begin{frame} +%% \frametitle{\incqno } +%% The file \lstinline+datafile.txt+ contains 3 columns of data. What +%% command will you use to read the entire data file into an array? +%% \end{frame} + +%% \begin{frame} +%% \frametitle{\incqno } +%% If the contents of the file \lstinline+datafile.txt+ is read into an +%% $N\times3$ array called \lstinline+data+, how would you obtain the third +%% column of this data? +%% \end{frame} + +\begin{frame} +\frametitle{\incqno } +Given a 4x4 matrix \texttt{A} and a 4-vector \texttt{b}, what command do +you use to solve for the equation \\ +\texttt{Ax = b}? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +What command will you use if you wish to integrate a system of ODEs? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +How do you calculate the roots of the polynomial, $y = 1 + 6x + 8x^2 + +x^3$? +\end{frame} + +\begin{frame} +\frametitle{\incqno } +Two arrays \lstinline+a+ and \lstinline+b+ are numerically almost equal, what command +do you use to check if this is true? +\end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% \begin{lstlisting} +%% In []: x = arange(0, 1, 0.25) +%% In []: print x +%% \end{lstlisting} +%% What will be printed? +%% \end{frame} + + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% \begin{lstlisting} +%% from scipy.integrate import quad +%% def f(x): +%% res = x*cos(x) +%% quad(f, 0, 1) +%% \end{lstlisting} +%% What changes will you make to the above code to make it work? +%% \end{frame} + +%% \begin{frame} +%% \frametitle{\incqno } +%% What two commands will you use to create and evaluate a spline given +%% some data? +%% \end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% What would be the result? +%% \begin{lstlisting} +%% In []: x +%% array([[0, 1, 2], +%% [3, 4, 5], +%% [6, 7, 8]]) +%% In []: x[::-1,:] +%% \end{lstlisting} +%% Hint: +%% \begin{lstlisting} +%% In []: x = arange(9) +%% In []: x[::-1] +%% array([8, 7, 6, 5, 4, 3, 2, 1, 0]) +%% \end{lstlisting} +%% \end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% What would be the result? +%% \begin{lstlisting} +%% In []: y = arange(3) +%% In []: x = linspace(0,3,3) +%% In []: x-y +%% \end{lstlisting} +%% \end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% \begin{lstlisting} +%% In []: x +%% array([[ 0, 1, 2, 3], +%% [ 4, 5, 6, 7], +%% [ 8, 9, 10, 11], +%% [12, 13, 14, 15]]) +%% \end{lstlisting} +%% How will you get the following \lstinline+x+? +%% \begin{lstlisting} +%% array([[ 5, 7], +%% [ 9, 11]]) +%% \end{lstlisting} +%% \end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% What would be the output? +%% \begin{lstlisting} +%% In []: y = arange(4) +%% In []: x = array(([1,2,3,2],[1,3,6,0])) +%% In []: x + y +%% \end{lstlisting} +%% \end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% \begin{lstlisting} +%% In []: line = plot(x, sin(x)) +%% \end{lstlisting} +%% Use the \lstinline+set_linewidth+ method to set width of \lstinline+line+ to 2. +%% \end{frame} + +%% \begin{frame}[fragile] +%% \frametitle{\incqno } +%% What would be the output? +%% \begin{lstlisting} +%% In []: x = arange(9) +%% In []: y = arange(9.) +%% In []: x == y +%% \end{lstlisting} +%% \end{frame} + + \end{document} diff --git a/day1/exercise/aliquot.py b/day1/exercise/aliquot.py index 96ea916..25518f0 100644 --- a/day1/exercise/aliquot.py +++ b/day1/exercise/aliquot.py @@ -1,18 +1,13 @@ -def is_perfect_square(n): - i = 1 - while i * i < n: - i += 1 - return i * i == n, i def aliquot(n): sum = 1 i = 2 - is_ps, root = is_perfect_square(n) - while i < root: + while i * i < n: if n % i == 0: sum += i + (n / i) i += 1 + if n % i == 0: sum += i return sum n = int(raw_input('Enter a number? ')) diff --git a/day1/exercise/collatz.py b/day1/exercise/collatz.py index 2b980d7..7bed967 100644 --- a/day1/exercise/collatz.py +++ b/day1/exercise/collatz.py @@ -1,7 +1,10 @@ -a = -1 -while a > 1: +a = int( raw_input( 'Enter number: ') ) +while a != 4: print a - if a % 2: + if a % 2 == 1: a = a * 3 + 1 else: a /= 2 +print 4 +print 2 +print 1 diff --git a/day1/exercise/datestring.py b/day1/exercise/datestring.py index d990904..4e8cad4 100644 --- a/day1/exercise/datestring.py +++ b/day1/exercise/datestring.py @@ -1,23 +1,15 @@ -def get_date_from_str(date_str): - month2mm = { - 'January': 1, - 'February': 2, - 'March': 3, - 'April': 4, - 'May': 5, - 'June': 6, - 'July': 7, - 'August': 8, - 'September': 9, - 'October': 10, - 'November': 11, - 'December': 12, - } - - dd, month, yyyy = date_str.split() - - mm = month2mm[month] - return int(yyyy), int(dd.strip(',')), mm +month2mm = { 'JAN': 1, 'FEB': 2, 'MAR': 3, 'APR': 4, 'MAY': 5, +'JUN': 6, 'JUL': 7, 'AUG': 8, 'SEP': 9, 'OCT': 10, 'NOV': 11, +'DEC': 12 } +COMMA = ',' +SPACE = ' ' date_str = raw_input('Enter a date string? ') -print get_date_from_str(date_str) +date_str = date_str.replace( COMMA, SPACE) +d, m, y = date_str.split() +dd = int( d ) +mon = m[:3].upper() +mm = month2mm[mon] +yyyy = int( y ) + +print dd,mm, yyyy diff --git a/day1/exercise/pytriads.py b/day1/exercise/pytriads.py index 4c47313..bea543d 100644 --- a/day1/exercise/pytriads.py +++ b/day1/exercise/pytriads.py @@ -10,12 +10,8 @@ def gcd(a, b): else: return gcd(b, a%b) -a = 3 -while a < 100: - b = a + 1 - while b < 100: - is_ps, c = is_perfect_square((a * a) + (b * b)) - if is_ps and gcd(a, b) == 1: - print a, b, c - b += 1 - a += 1 +for a in range(3, 501): + for b in range( a+1, 501, 2): + if gcd( a, b ) == 1: + is_ps, c = is_perfect_square((a * a) + (b * b)) + if is_ps: print a, b, c diff --git a/day1/session1.tex b/day1/session1.tex index 9805f2e..a0a9595 100644 --- a/day1/session1.tex +++ b/day1/session1.tex @@ -562,7 +562,7 @@ is in the rectangle $(0, -1.5)$ (left bottom coordinate) and $(2\pi, What ipython magic command do you use to obtain the lines of code you have already typed in the interpreter? What command do you use to save them? \end{frame} -\begin{frame} +\begin{frame}[fragile] \frametitle{\incqno } The following code snippet has an error/bug: \begin{lstlisting} diff --git a/day1/session4.tex b/day1/session4.tex index ddac34a..257fd54 100644 --- a/day1/session4.tex +++ b/day1/session4.tex @@ -646,7 +646,7 @@ What will be printed? \begin{lstlisting} In []: x = array([[1,2,3,4]]) \end{lstlisting} -How to \lstinline+x+ to \lstinline+array([[1,2,0,4]])+? +How to change \lstinline+x+ to \lstinline+array([[1,2,0,4]])+? \end{frame} \begin{frame}[fragile] @@ -665,6 +665,17 @@ array([[2,3], \begin{frame}[fragile] \frametitle{\incqno } \begin{lstlisting} + In []: x = array([[9,18,27], + [30,60,90], + [14,7,1]]) +\end{lstlisting} +What is the output of \lstinline+x[::3,::3]+ +\end{frame} + + +\begin{frame}[fragile] +\frametitle{\incqno } +\begin{lstlisting} In []: a = array([[1, 2], [3, 4]]) \end{lstlisting} |