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authorPrabhu Ramachandran2016-12-09 18:13:35 +0530
committerPrabhu Ramachandran2016-12-09 18:13:35 +0530
commitc64ef73e7d1f180a82bfde53b1891cbaa633932a (patch)
tree5c6946dfe4e97e6382110aaca9dc35b5caf4913b /scipy
downloadpython-workshops-c64ef73e7d1f180a82bfde53b1891cbaa633932a.tar.gz
python-workshops-c64ef73e7d1f180a82bfde53b1891cbaa633932a.tar.bz2
python-workshops-c64ef73e7d1f180a82bfde53b1891cbaa633932a.zip
Initial files for scipy india 2016 tutorial.
These are all from older material delivered at various places. The material is from the PyConAPAC tutorial slides.
Diffstat (limited to 'scipy')
-rw-r--r--scipy/basic/Makefile21
-rw-r--r--scipy/basic/README.txt64
-rw-r--r--scipy/basic/circulate/data.csv1001
-rw-r--r--scipy/basic/circulate/lena.pngbin0 -> 428981 bytes
-rw-r--r--scipy/basic/circulate/pendulum.txt90
-rw-r--r--scipy/basic/data/L-TSq-limited.pngbin0 -> 21384 bytes
-rw-r--r--scipy/basic/data/L-Tsq-Line.pngbin0 -> 26296 bytes
-rw-r--r--scipy/basic/data/L-Tsq-points.pngbin0 -> 21813 bytes
-rw-r--r--scipy/basic/data/L-Tsq.pngbin0 -> 16776 bytes
-rw-r--r--scipy/basic/data/annotate.pngbin0 -> 29482 bytes
-rw-r--r--scipy/basic/data/aws_data.csv2510
-rw-r--r--scipy/basic/data/aws_data_clean.csv1255
-rw-r--r--scipy/basic/data/data.csv1001
-rw-r--r--scipy/basic/data/firstplot.pngbin0 -> 24217 bytes
-rw-r--r--scipy/basic/data/four_plot.pngbin0 -> 54760 bytes
-rw-r--r--scipy/basic/data/fsolve.pngbin0 -> 20617 bytes
-rwxr-xr-xscipy/basic/data/fsolve_tanx.pngbin0 -> 45630 bytes
-rw-r--r--scipy/basic/data/green.pngbin0 -> 26880 bytes
-rw-r--r--scipy/basic/data/image.pngbin0 -> 19554 bytes
-rw-r--r--scipy/basic/data/label.pngbin0 -> 25676 bytes
-rw-r--r--scipy/basic/data/least-sq-fit.pngbin0 -> 31715 bytes
-rw-r--r--scipy/basic/data/legend.pngbin0 -> 33003 bytes
-rw-r--r--scipy/basic/data/lena.pngbin0 -> 428981 bytes
-rw-r--r--scipy/basic/data/limits.pngbin0 -> 28294 bytes
-rw-r--r--scipy/basic/data/loc.pngbin0 -> 32773 bytes
-rw-r--r--scipy/basic/data/location.txt41
-rw-r--r--scipy/basic/data/ode.pngbin0 -> 59610 bytes
-rw-r--r--scipy/basic/data/pendulum.txt90
-rw-r--r--scipy/basic/data/points.pngbin0 -> 19613 bytes
-rw-r--r--scipy/basic/data/points.txt40
-rwxr-xr-xscipy/basic/data/pos_vel_accel.pngbin0 -> 31691 bytes
-rw-r--r--scipy/basic/data/position.pngbin0 -> 28574 bytes
-rw-r--r--scipy/basic/data/roots.pngbin0 -> 20654 bytes
-rw-r--r--scipy/basic/data/stline_dots.pngbin0 -> 10599 bytes
-rw-r--r--scipy/basic/data/stline_points.pngbin0 -> 10164 bytes
-rw-r--r--scipy/basic/data/straightline.pngbin0 -> 20824 bytes
-rw-r--r--scipy/basic/data/title.pngbin0 -> 28516 bytes
-rw-r--r--scipy/basic/quickref.tex297
-rw-r--r--scipy/basic/session1.tex904
-rw-r--r--scipy/basic/session2.tex902
-rw-r--r--scipy/basic/session3.tex830
-rw-r--r--scipy/basic/session4.tex780
42 files changed, 9826 insertions, 0 deletions
diff --git a/scipy/basic/Makefile b/scipy/basic/Makefile
new file mode 100644
index 0000000..ddcab0c
--- /dev/null
+++ b/scipy/basic/Makefile
@@ -0,0 +1,21 @@
+.SUFFIXES: .tex .pdf
+
+.tex.pdf:
+ pdflatex $*.tex
+ pdflatex $*.tex
+
+SLIDES= session1.pdf \
+ session2.pdf \
+ session3.pdf \
+ session4.pdf
+
+all: $(SLIDES) quickref.pdf
+
+cleanall:
+ rm -f *.dvi *.log *.bak *.aux *.bbl *.blg *.idx *.ps *.eps *.pdf *.toc *.out *~ *.vrb *.nav *.snm
+
+clean:
+ rm -f *.log *.bak *.aux *.bbl *.blg *.idx *.toc *.out *~ *.vrb *.nav *.snm
+
+
+
diff --git a/scipy/basic/README.txt b/scipy/basic/README.txt
new file mode 100644
index 0000000..4cf4303
--- /dev/null
+++ b/scipy/basic/README.txt
@@ -0,0 +1,64 @@
+Basic Tutorial:
+
+* Tutorial title: Introductory Scientific Computing with Python
+
+* Intended audience (difficulty level, experience required):
+
+ Beginning programmers who have experience with some programming
+ language. A knowledge of elementary programming concepts is essential.
+ Audience should know how to edit text files comfortably. We strongly
+ recommend that attendees go through at least 7 chapters of the online
+ tutorial on Python: http://docs.python.org/tutorial and ideally
+ complete it. It should take no more than one afternoon.
+
+ Prior experience with Scilab/Matlab/octave or similar tools would be
+ useful but not necessary.
+
+* Prerequisites: What experience must attendees have in order to fully
+ benefit from this tutorial?
+
+ Basic usage of a computer and elementary computer programming along
+ with experience with some form of numerical computing via
+ scilab/octave/matlab/mathematica. You should go through the official
+ Python tutorial (or be comfortable with the Python programming
+ language). You should definitely have the recommended packages
+ installed and your computer setup for this tutorial.
+
+* Promotional summary (max. 100 words).
+
+ At the end of this tutorial, attendees should be able to use the basic
+ tools and libraries for Python-based scientific computing. We imagine
+ that an undergraduate/graduate engineering/science student would be
+ able to *start* doing most of their basic computing tasks using
+ Python.
+
+* Detailed tutorial outline
+
+ The session is entirely hands-on. We focus on common tasks and
+ introduce the Python language in the context of these common tasks.
+ Here is a rough outline of what we propose to cover:
+
+ - Introduction to IPython.
+ - Creating basic plots with matplotlib.
+ - NumPy array basics: 1D arrays.
+ - Reading data files.
+ - More on NumPy: multi-dimensional arrays, slicing, elementary image
+ processing.
+ - Some powertools: pandas dataframe basics.
+ - Using SciPy for Linear Algebra, FFT's, root finding and integrating
+ ODEs.
+
+
+* Attendee Requirements:
+
+ A laptop is definitely recommended since this will be a hands-on
+ session. You will need to have Python (2.7/3.x would work fine),
+ IPython (0.10.x), Numpy (1.x), SciPy (>0.5.x), matplotlib (any recent
+ version), Mayavi-3.x and above.
+
+ On Windows and Mac OS X it is easiest to install these by installing
+ the Enthought Python Distribution. On GNU/Linux these are typically
+ available along with the distribution. The packages are all
+ available on Ubuntu. FOSSEE provides a live Ubuntu-based DVD with
+ all the necessary packages. It can be downloaded here:
+ http://fossee.in/download#DVDs
diff --git a/scipy/basic/circulate/data.csv b/scipy/basic/circulate/data.csv
new file mode 100644
index 0000000..ad9bc88
--- /dev/null
+++ b/scipy/basic/circulate/data.csv
@@ -0,0 +1,1001 @@
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diff --git a/scipy/basic/data/aws_data_clean.csv b/scipy/basic/data/aws_data_clean.csv
new file mode 100644
index 0000000..018a4f3
--- /dev/null
+++ b/scipy/basic/data/aws_data_clean.csv
@@ -0,0 +1,1255 @@
+@STATION_ID,LATITUDE,LONGITUDE,ALTITUDE,TIME(GMT),DATE(GMT),TIME(IST),DATE(IST),AIR_TEMP,WIND_SPEED,WIND_DIRECTION,ATMO_PRESSURE,HUMIDITY,RAIN_FALL,SUN_SHINE
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diff --git a/scipy/basic/data/data.csv b/scipy/basic/data/data.csv
new file mode 100644
index 0000000..ad9bc88
--- /dev/null
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+0.239639, 0.892604, 377.612069
+0.239536, 0.789169, 391.823166
+0.720175, 0.159084, 399.318284
+0.587896, 0.493420, 306.669236
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+0.961050, 0.464717, 309.482824
+0.984970, 0.445896, 392.934740
+0.055646, 0.441871, 305.485904
+0.125282, 0.540023, 355.054586
+0.367546, 0.680832, 339.073099
+0.364469, 0.121215, 375.836068
+0.994426, 0.831558, 369.690823
+0.813384, 0.387443, 340.084628
+0.615375, 0.408549, 375.555511
+0.999550, 0.416921, 351.204621
+0.123233, 0.957129, 310.270434
diff --git a/scipy/basic/data/firstplot.png b/scipy/basic/data/firstplot.png
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diff --git a/scipy/basic/data/fsolve_tanx.png b/scipy/basic/data/fsolve_tanx.png
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index 0000000..a711a10
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index 0000000..2d3937e
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index 0000000..e1c7e08
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diff --git a/scipy/basic/data/label.png b/scipy/basic/data/label.png
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index 0000000..4d7ebac
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diff --git a/scipy/basic/data/legend.png b/scipy/basic/data/legend.png
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index 0000000..9d28a71
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index 0000000..5f804d2
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diff --git a/scipy/basic/data/loc.png b/scipy/basic/data/loc.png
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diff --git a/scipy/basic/data/location.txt b/scipy/basic/data/location.txt
new file mode 100644
index 0000000..adf92c8
--- /dev/null
+++ b/scipy/basic/data/location.txt
@@ -0,0 +1,41 @@
+0. 0.
+0.25 0.47775
+0.5 0.931
+0.75 1.35975
+1. 1.764
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+3.75 4.59375
+4. 4.704
+4.25 4.78975
+4.5 4.851
+4.75 4.88775
+5. 4.9
+5.25 4.88775
+5.5 4.851
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+6. 4.704
+6.25 4.59375
+6.5 4.459
+6.75 4.29975
+7. 4.116
+7.25 3.90775
+7.5 3.675
+7.75 3.41775
+8. 3.136
+8.25 2.82975
+8.5 2.499
+8.75 2.14375
+9. 1.764
+9.25 1.35975
+9.5 0.931
+9.75 0.47775
+10. 0.
diff --git a/scipy/basic/data/ode.png b/scipy/basic/data/ode.png
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new file mode 100644
index 0000000..7e07566
--- /dev/null
+++ b/scipy/basic/data/pendulum.txt
@@ -0,0 +1,90 @@
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+9.9000e-01 2.0214e+00
diff --git a/scipy/basic/data/points.png b/scipy/basic/data/points.png
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@@ -0,0 +1,40 @@
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+0.06 156.161844972
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diff --git a/scipy/basic/data/pos_vel_accel.png b/scipy/basic/data/pos_vel_accel.png
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diff --git a/scipy/basic/quickref.tex b/scipy/basic/quickref.tex
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@@ -0,0 +1,297 @@
+\documentclass{article}
+\usepackage{graphicx}
+\usepackage[landscape]{geometry}
+\usepackage[pdftex]{color}
+\usepackage{url}
+\usepackage{multicol}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\newcommand{\ex}{\color{blue}}
+\pagestyle{empty}
+\advance\topmargin-.9in
+\advance\textheight2in
+\advance\textwidth3.0in
+\advance\oddsidemargin-1.45in
+\advance\evensidemargin-1.45in
+\parindent0pt
+\parskip2pt
+
+\newcommand{\hr}{\centerline{\rule{3.5in}{1pt}}}
+\newcommand{\skipin}{\hspace*{12pt}}
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\usepackage{color}
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+\begin{document}
+\begin{multicols*}{3}
+\begin{center}
+\textbf{Scientific Computing with Python}\\
+\textbf{Quick Reference}\\
+\textbf{PyCon Asia-Pacific}\\
+\end{center}
+\vspace{-2ex}
+
+%*********************************************
+ \hr\textbf{Starting up}
+
+To start \lstinline|ipython| with \lstinline|pylab|:\\
+\lstinline| $ ipython -pylab| %$
+
+To exit: \lstinline|^D| (Ctrl-d)
+
+To break from loops: \lstinline|^C| (Ctrl-c)
+
+%*********************************************
+\hr\textbf{Plotting}
+
+Creating a linear array:\\
+{\ex \lstinline| x = linspace(0, 2*pi, 50)|}
+
+Plotting two variables:\\
+{\ex \lstinline| plot(x, sin(x))|}
+
+Plotting two lists of equal length x, y:\\
+{\ex \lstinline| plot(x, y)|}
+
+Plots with colors:\\
+{\ex \lstinline| plot(x, sin(x), 'b')|} gives a blue line
+
+Line style and markers:\\
+{\ex \lstinline| plot(x, sin(x), '--')|} gives a dashed line\\
+{\ex \lstinline|'.'|} -- a point marker, {\ex \lstinline|'o'|} -- a circle marker
+
+Labels:\\
+{\ex \lstinline| xlabel('x')|} and {\ex \lstinline|ylabel('sin(x)')|}
+
+Title (\lstinline|pylab| accepts \TeX~in any text expression):\\
+{\ex \lstinline| title(r'$\sigma$ vs. $\sin(\sigma)$')|}
+
+Legend:\\
+{\ex \lstinline| legend(['sin(x)'], loc=center)|}\\
+{\ex \lstinline| legend(['sin(x)', 'cos(x)'])|}\\
+If \lstinline|loc| is not specified, \lstinline|best| is used
+
+Annotate:\\
+{\ex \lstinline| annotate('annotation string', xy=(1.5, 1))|}
+
+Saving figures:\\
+{\ex \lstinline| savefig('sinusoids.png')|}
+
+Axes lengths:\\
+Get the axes lengths:\\
+{\ex \lstinline| xmin, xmax = xlim()|}\\
+{\ex \lstinline| ymin, ymax = ylim()|}\\
+Set the axes lengths:\\
+{\ex \lstinline| xlim(-2*pi, 2*pi)|}\\
+{\ex \lstinline| ylim(-1.2, 1.2)|}
+
+Miscellaneous:\\
+{\ex \lstinline| clf()|} to clear the plot area\\
+{\ex \lstinline| close()|} to close the figure
+
+%*********************************************
+\hr\textbf{IPython tips}
+
+\typ{TAB} completes commands\\
+History: Up, down arrows or (\typ{Ctrl-p}/\typ{Ctrl-n})\\
+Search: \typ{Ctrl-r} and start typing\\
+\typ{Ctrl-a}: go to start of line\\
+\typ{Ctrl-e}: go to end of line\\
+\typ{Ctrl-k}: kill to end of line\\
+Help: \typ{object?}\\
+Source Code: \typ{object??}\\
+Time execution of expression/statement: \typ{\%timeit}
+
+%*********************************************
+\hr\textbf{Saving and Running scripts}
+
+{\ex \lstinline| %hist|} returns history of commands used. \\
+To save a set of lines, say 14-18, 20, 22, to \lstinline|sample.py| \\
+{\ex \lstinline| %save sample.py 14-18 20 22|}\\
+To run \lstinline|sample.py| \\
+{\ex \lstinline| %run -i sample.py|}
+
+%*********************************************
+ \hr\textbf{Reading from files}
+
+\lstinline|filename.txt| is a file with float data.
+Using loadtxt: \\
+{\ex \lstinline|X = loadtxt('filename.txt')|} \\
+X is an array with all the data from \lstinline|filename.txt|\\
+{\ex \lstinline|X,Y = loadtxt('filename.txt', unpack=True)|} \\
+X,Y contain each column of the data\\
+{\ex \lstinline|X = loadtxt('filename.txt', delimiter=';')|} \\
+when ';' delmits the columns of data
+
+%*********************************************
+\hr\textbf{Statistical operations}
+
+{\ex \lstinline|mean|, \lstinline|median|, \lstinline|std|}
+
+%*********************************************
+\hr\textbf{NumPy Arrays}
+
+Fixed size: \typ{arr.size}\\
+Homogeneous: \typ{arr.dtype}\\
+Extent along each dimension: \typ{arr.shape}\\
+Bytes per element: \typ{arr.itemsize}
+
+%*********************************************
+\hr\textbf{Array Creation}
+
+{\ex \lstinline|C = array([[11,12,13], [21,22,23], [31,32,33]])|}\\
+{\ex \lstinline|C.shape|} shape--- rows \& cols\\
+{\ex \lstinline|C.dtype|} data type\\
+{\ex \lstinline|B = ones_like(C)|} array of ones; same shape, dtype as C\\
+\skipin similarly \lstinline|zeros_like, empty_like| \\
+{\ex \lstinline|A = ones((3,2))|} array of ones of shape (3,2)\\
+\skipin similarly \lstinline|zeros, empty|\\
+{\ex \lstinline|I = identity(3)|} identity matrix of size 3x3\\
+{\ex \lstinline|x, y = mgrid[0:3, 0:5]|} mesh-grid of size 3x5\\
+{\ex \lstinline|x, y = ogrid[0:3, 0:5]|} open mesh-grid of size 3x5
+
+%*********************************************
+\hr\textbf{Accessing \& Changing elements}
+
+{\ex \lstinline|C[1, 2]|} gets third element of second row\\
+\skipin \textbf{Note:} Indexing starts from 0. \\
+{\ex \lstinline|C[1]|} gets the second row \\
+{\ex \lstinline|C[1,:]|} same as above (`:' implies all columns)\\
+{\ex \lstinline|C[:,1]|} gets the second column (`:' implies all rows)\\
+{\ex \lstinline|C[0:2,:]|} or {\ex \lstinline|C[:2,:]|} gets $1^{st}, 2^{nd}$ rows; all cols\\
+{\ex \lstinline|C[1:3,:]|} or {\ex \lstinline|C[1:,:]|} gets $2^{nd}, 3^{rd}$
+rows; all cols\\
+{\ex \lstinline|C[0:3:2,:]|} or {\ex \lstinline|C[::2,:]|} gets $1^{st}, 3^{rd}$
+rows; all cols
+
+%*********************************************
+\hr\textbf{Matrix Operations}
+
+For matrices A and B of equal shapes:\\
+{\ex \lstinline|A.T|} transpose\\
+{\ex \lstinline|sum(A)|} sum of all elements\\
+{\ex \lstinline|A+B|} addition\\
+{\ex \lstinline|A*B|} element wise product\\
+{\ex \lstinline|dot(A, B)|} Matrix multiplication\\
+{\ex \lstinline|inv(A)|} inverse, {\ex \lstinline|det(A)|} determinant\\
+{\ex \lstinline|eig(A)|} eigen values and vectors\\
+{\ex \lstinline|norm(A)|} norm\\
+{\ex \lstinline|svd(A)|} singular value decomposition
+
+%*********************************************
+\hr\textbf{Least Square Fit}
+
+To get the least square fit of $L$ vs. $tsq$:\\
+{\ex \lstinline|A = array([L, ones_like(L)])|}\\
+{\ex \lstinline|A = A.T|} vandermonde matrix\\
+{\ex \lstinline|result = lstsq(A, tsq)|}\\
+{\ex \lstinline|coef = result[0]|} coefficients
+{\ex \lstinline|Tline = coef[0]*L + coef[1]|}
+
+%*********************************************
+\hr\textbf{Solving Linear Equations}
+
+{\ex \lstinline|A = array([[3,2,-1], [2,-2,4], [-1, 0.5, -1]])|}\\
+\skipin coefficient array\\
+{\ex \lstinline|b = array([1, -2, 0])|} constant array\\
+{\ex \lstinline|x = solve(A, b)|} the required solution
+
+Checking the solution:\\
+{\ex \lstinline|Ax = dot(A,x)|} matrix multiplication of A and x\\
+{\ex \lstinline|allclose(Ax, b)|} check the closeness of Ax, b
+
+%*********************************************
+\hr\textbf{Roots of Polynomials}
+
+{\ex \lstinline|coeffs = [1, 6, 13]|} coefficients in descending order\\
+{\ex \lstinline|roots(coeffs)|} returns complex roots of the polynomial
+
+%*********************************************
+\hr\textbf{Roots of non-linear equations}
+
+{\ex \lstinline|from scipy.optimize import fsolve|}\\
+\skipin \lstinline|fsolve| is not in \lstinline|pylab|\\
+\skipin we import from \lstinline|scipy.optimize| \\
+We wish to find the roots of $f(x)=sin(x)+cos(x)^2$
+\vspace{-8pt}
+\begin{lstlisting}
+def f(x):
+ return sin(x)+cos(x)**2
+\end{lstlisting}
+\vspace{-8pt}
+{\ex \lstinline|fsolve(f, 0)|} \\
+\skipin arguments are function name and initial estimate
+
+%*********************************************
+\hr\textbf{ODE}
+
+To solve the ODE below:\\
+$\frac{dy}{dt} = ky(L-y)$, L = 25000, k = 0.00003, y(0) = 250\\
+\vspace{-8pt}
+\begin{lstlisting}
+def f(y, t):
+ k, L = 0.00003, 25000
+ return k*y*(L-y)
+\end{lstlisting}
+\vspace{-8pt}
+{\ex \lstinline|t = linspace(0, 12, 60)|} time over which to solve ODE\\
+{\ex \lstinline|y0 = 250|} initial conditions\\
+{\ex \lstinline|from scipy.integrate import odeint|}\\
+{\ex \lstinline|y = odeint(f, y0, t)|}
+
+\hr\textbf{FFT}
+
+{\ex \lstinline|t = linspace(0, 2*pi, 500)|}\\
+{\ex \lstinline|y = sin(4*pi*t)|} a sinusoidal signal\\
+{\ex \lstinline|f = fft(y)|}\\
+{\ex \lstinline|freq = fftfreq(500, t[1] - t[0])|}\\
+{\ex \lstinline|plot(freq[:250], abs(f)[:250])|}
+
+\hr\textbf{Random Numbers}
+
+{\ex \typ{from numpy import random}}\\
+{\ex \typ{random.random}}: Uniform deviates in $[0, 1)$\\
+{\ex \typ{random.normal}}: Random samples -- Gaussian dist.\\
+{\ex \typ{random.normal}}: Random samples -- Gaussian dist.\\
+{\ex \typ{x = random.random(size=1000)}}\\
+{\ex \typ{x,y = random.normal(size=(2,1000))}}
+
+\hr\textbf{Record Arrays}
+
+{\ex \typ{typ = [('id', int), ('x', float)]}}\\
+{\ex \typ{rec = numpy.zeros(10, dtype=typ)}}\\
+{\ex \typ{rec['id'] = range(10)}}\\
+{\ex \typ{rec['x'] = random.random(size=10)}}\\
+
+{\ex \typ{data = csv2rec('data.csv')}} from csv to record array
+
+\hr\textbf{\typ{mlab}}
+
+{\ex \typ{from enthought.mayavi import mlab}} Ready to Go!\\
+{\ex \typ{mlab.test_<TAB>}} Test Functions\\
+{\ex \typ{mlab.points3d(x, y, z)}} Plot points in 3D\\
+{\ex \typ{mlab.contour3d(x*x*0.5 + y*y + z*z*2)}} 3D contours\\
+{\ex \typ{gcf}} get current figure\\
+{\ex \typ{savefig}} save current figure\\
+{\ex \typ{figure}} switch figure or new figure\\
+{\ex \typ{axes}} create axes\\
+{\ex \typ{outline}} create outline\\
+{\ex \typ{title}} add title\\
+{\ex \typ{xlabel, ylabel, zlabel}} labels\\
+{\ex \typ{colorbar}} Add colorbar\\
+{\ex \typ{scalarbar}} Add colorbar for scalar color mapping\\
+{\ex \typ{vectorbar}} Add colorbar for vector color mapping\\
+{\ex \typ{show}} show figure (standalone scripts)
+
+\end{multicols*}
+
+\end{document}
diff --git a/scipy/basic/session1.tex b/scipy/basic/session1.tex
new file mode 100644
index 0000000..ac21d2a
--- /dev/null
+++ b/scipy/basic/session1.tex
@@ -0,0 +1,904 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: FOSSEE
+% Copyright (c) 2009-2016, FOSSEE, IIT Bombay
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{infolines}
+ \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar}
+ {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+% language=Python,
+% basicstyle=\small\ttfamily,
+% commentstyle=\ttfamily\color{blue},
+% stringstyle=\ttfamily\color{orange},
+% showstringspaces=false,
+% breaklines=true,
+% postbreak = \space\dots
+% }
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[Interactive Plotting]{Introductory Scientific Computing with
+Python}
+\subtitle{Introduction, IPython and Plotting}
+
+\author[FOSSEE] {FOSSEE}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {SciPy India 2016,\\
+Mumbai
+}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command:
+%\beamerdefaultoverlayspecification{<+->}
+
+%%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+ \maketitle
+\end{frame}
+
+%% \begin{frame}
+%% \frametitle{Outline}
+%% \tableofcontents
+%% % You might wish to add the option [pausesections]
+%% \end{frame}
+
+\begin{frame}
+ \frametitle{Acknowledgement}
+ \Large
+ \begin{center}
+ \alert{FOSSEE group (\url{fossee.in})} \\
+ based at\\
+ \alert{IIT Bombay}\\
+ and funded by\\
+ The National Mission on Education through ICT, \\
+ \alert{Ministry of HRD, India}
+ \end{center}
+\end{frame}
+
+\section{Checklist}
+\begin{frame}
+\frametitle{Checklist}
+ \begin{enumerate}
+ \item Editor - we recommend \alert{Canopy}
+ \item IPython
+ \item Data files:
+ \begin{itemize}
+ \item \typ{pendulum.txt}
+ \item \typ{data.csv}
+ \end{itemize}
+ \item Images
+ \begin{itemize}
+ \item \typ{lena.png}
+ \end{itemize}
+ \end{enumerate}
+\end{frame}
+
+\begin{frame}
+ \frametitle{About the Tutorial}
+ \begin{block}{Intended Audience}
+ \begin{itemize}
+ \item Engg., Mathematics and Science researchers with a
+ reasonable programming background.
+ \end{itemize}
+ \end{block}
+
+ \begin{block}{Goal: Successful participants will be able to}
+ \begin{itemize}
+ \item Start using Python as plotting, computational tool.
+ \item Use the basic libraries and tools for scientific computing
+ with Python.
+ \end{itemize}
+ \end{block}
+\end{frame}
+
+%% \begin{frame}[fragile]
+%% \frametitle{The Python interpreter \ldots}
+%% \begin{block}{}
+%% \begin{lstlisting}
+%% $ python
+%% \end{lstlisting} %$
+%% \end{block}
+%% \begin{lstlisting}
+%% >>> print "Hello, World!"
+%% Hello, World!
+%% \end{lstlisting}
+%% Exiting
+%% \begin{lstlisting}
+%% >>> ^D(Ctrl-D)
+%% $
+%% \end{lstlisting} %$
+%% \end{frame}
+
+\section{Starting up IPython}
+\begin{frame}[fragile]
+\frametitle{Starting up \ldots}
+\begin{block}{Enthought Canopy menu}
+\begin{itemize}
+ \item Canopy command prompt (Tools menu)
+ \item PyLab
+\end{itemize}
+\end{block}
+
+\begin{block}{Terminal}
+\begin{lstlisting}
+ $ ipython --pylab
+\end{lstlisting} %$
+\end{block}
+\end{frame}
+
+% \section{Starting up IPython}
+% \begin{frame}[fragile]
+% \frametitle{Starting up \ldots}
+% \begin{block}{Terminal Jupyter}
+% \begin{lstlisting}
+% $ jupyter console
+
+% In [1]: %pylab
+% \end{lstlisting} %$
+% \end{block}
+% \end{frame}
+
+
+\begin{frame}[fragile]
+\frametitle{Running IPython}
+\begin{lstlisting}
+ In []: print("Hello, World!")
+ Hello, World!
+\end{lstlisting}
+
+Exiting on the \textbf{terminal}
+\begin{lstlisting}
+ In []: ^D(Ctrl-D)
+ Do you really want to exit([y]/n)? y
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Pressed Ctrl-D on Canopy? }
+ \begin{itemize}
+ \item Pressed \verb+Ctrl-D+ inside Canopy?
+ \item You suddenly lost the Python prompt?
+ \item Go to \verb+View->Python+
+ \end{itemize}
+\end{frame}
+
+
+\section{Breaking out of loops}
+\begin{frame}[fragile]
+\frametitle{Breaking out of Loops}
+Breaking out of loops
+\begin{lstlisting}
+ In []: while True:
+ ...: print("Hello, World!")
+ ...:
+ Hello, World!
+ Hello, World!^C(Ctrl-C)
+ ------------------------------------
+ KeyboardInterrupt
+\end{lstlisting}
+ \inctime{10}
+\end{frame}
+
+\section{Plotting}
+\subsection{Drawing plots}
+\begin{frame}[fragile]
+\frametitle{First Plot}
+\begin{columns}
+ \column{0.25\textwidth}
+ \hspace*{-0.25in}
+ \includegraphics[height=2in, interpolate=true]{data/firstplot}
+ \column{0.8\textwidth}
+ \begin{block}{}
+ \begin{small}
+\begin{lstlisting}
+In []: x = linspace(0, 2*pi, 50)
+In []: plot(x, sin(x))
+\end{lstlisting}
+ \end{small}
+ \end{block}
+\end{columns}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Walkthrough}
+\begin{block}{\typ{x = linspace(start, stop, num)} }
+returns \typ{num} evenly spaced points, in the interval [\typ{start}, \typ{stop}].
+\end{block}
+\vspace*{.35in}
+\begin{block}{}
+ \small
+\begin{lstlisting}
+In []: x[0]
+Out[]: 0.0
+
+In []: x[49]
+Out[]: 6.2831853071795862
+\end{lstlisting}
+\end{block}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Walkthrough \ldots}
+\begin{block}{\typ{plot(x, y)}}
+plots \typ{x} and \typ{y} using default line style and color
+\end{block}
+\inctime{5}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Important instructions}
+ \begin{itemize}
+ \item Please do not close the plot windows or IPython
+ \item For the first session, please do not experiment
+ \item Follow along and type everything!
+ \item Case matters
+ \item Every character you type matters!
+ \end{itemize}
+\end{frame}
+
+\subsection{Decoration}
+\begin{frame}[fragile]
+\frametitle{Adding Labels}
+\begin{columns}
+ \column{0.25\textwidth}
+ \hspace*{-0.45in}
+ \includegraphics[height=2in, interpolate=true]{data/label}
+ \hspace*{0.5in}
+ \column{0.55\textwidth}
+ \begin{block}{}
+ \small
+ \begin{lstlisting}
+In []: xlabel('x')
+
+In []: ylabel('sin(x)')
+ \end{lstlisting}
+ \small
+% \end{lstlisting}
+%\typ{xlabel(s)} sets the label of the \typ{x}-axis to \typ{s}
+
+% \begin{lstlisting}
+ \end{block}
+%\typ{ylabel(s)} sets the label of the \typ{y}-axis to \typ{s}
+\end{columns}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Another example}
+ \begin{lstlisting}
+In []: clf()
+ \end{lstlisting}
+\emphbar{Clears the plot area.}
+ \begin{lstlisting}
+In []: y = linspace(0, 2*pi, 50)
+In []: plot(y, sin(2*y))
+In []: xlabel('y')
+In []: ylabel('sin(2y)')
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{IPython tips}
+
+\begin{itemize}
+\item Use \typ{TAB} to complete command
+\item Try:
+\begin{lstlisting}
+In []: pl<TAB>
+\end{lstlisting}
+\end{itemize}
+\vspace*{0.5in}
+
+{\Large \structure{History}}
+\begin{itemize}
+\item Up arrow and down arrow
+
+\item Left / right to move and edit
+
+\item Type some text and press up arrow:
+\begin{lstlisting}
+In []: pl<Up Arrow>
+\end{lstlisting}
+
+\end{itemize}
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Advanced IPython tips \ldots}
+ \begin{itemize}
+\item Search: \typ{Ctrl-r} and start typing
+
+\item \typ{Ctrl-a}: go to start of line
+
+\item \typ{Ctrl-e}: go to end of line
+
+\item \typ{Ctrl-k}: kill to end of line
+ \end{itemize}
+\end{frame}
+
+
+\subsection{More decoration}
+\begin{frame}[fragile]
+\frametitle{Title and Legends}
+\vspace*{-0.15in}
+% \begin{block}{}
+% \small
+\begin{lstlisting}
+In []: title('Sinusoids')
+In []: legend(['sin(2y)'])
+\end{lstlisting}
+% \small
+% \end{block}
+ \vspace*{-0.1in}
+ \begin{center}
+ \includegraphics[height=2in, interpolate=true]{data/legend}
+ \end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Legend Placement}
+\begin{block}{}
+ \small
+\begin{lstlisting}
+In []: legend(['sin(2y)'], loc='center')
+\end{lstlisting}
+\end{block}
+
+\begin{columns}
+ \column{0.6\textwidth}
+ \includegraphics[height=2in, interpolate=true]{data/position}
+\column{0.45\textwidth}
+\vspace{-0.2in}
+\begin{lstlisting}
+'best'
+'right'
+'left'
+'center'
+\end{lstlisting}
+\end{columns}
+\inctime{15}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Important instructions}
+ \begin{itemize}
+ \item Please do not close the plot windows or IPython
+ \item For the first session, please do not experiment
+ \item Follow along and type everything!
+ \item Case matters
+ \item Every character you type matters!
+ \end{itemize}
+\end{frame}
+
+%% \begin{frame}[fragile]
+%% \frametitle{For arbitrary location}
+%% \vspace*{-0.1in}
+%% \begin{lstlisting}
+%% In []: legend(['sin(2y)'], loc=(.8,.1))
+%% \end{lstlisting}
+%% \emphbar{Specify south-east corner position}
+%% %\vspace*{-0.2in}
+%% \begin{center}
+%% \includegraphics[height=2in, interpolate=true]{data/loc}
+%% \end{center}
+%% %\inctime{10}
+%% \end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Showing it better}
+\vspace{-0.15in}
+\begin{lstlisting}
+In []: plot(y, cos(y), 'r')
+# See a red plot!
+
+In []: clf()
+In []: plot(y, sin(y), 'g', linewidth=2)
+\end{lstlisting}
+\vspace*{-0.2in}
+\begin{center}
+ \includegraphics[height=2.2in, interpolate=true]{data/green}
+\end{center}
+%\inctime{10}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Annotating}
+\vspace*{-0.1in}
+\begin{lstlisting}
+In[]: annotate('local max', xy=(1.5, 1))
+\end{lstlisting}
+\vspace*{-0.2in}
+\begin{center}
+ \includegraphics[height=3in, interpolate=true]{data/annotate}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Saving \& Closing}
+\begin{lstlisting}
+In []: savefig('sin.png')
+
+In []: close()
+\end{lstlisting}
+Some supported formats:
+\begin{itemize}
+\item png
+\item pdf
+\item svg
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Recap}
+ \begin{itemize}
+ \item \typ{linspace(start, end, num)}
+ \item \typ{plot(x, y)}
+ \item \typ{clf()}
+ \item \typ{xlabel, ylabel}
+ \item \typ{title, legend, annotate}
+ \item \typ{savefig}
+ \item \typ{close}
+ \end{itemize}
+ \inctime{10}
+\end{frame}
+
+\section{Multiple plots}
+\begin{frame}[fragile]
+ \frametitle{Overlaid Plots}
+\begin{lstlisting}
+In []: y = linspace(0, 2*pi, 50)
+\end{lstlisting}
+
+\begin{lstlisting}
+In []: clf()
+In []: plot(y, sin(y))
+In []: plot(y, cos(y))
+In []: xlabel('y')
+In []: ylabel('f(y)')
+In []: legend(['sin(y)', 'cos(y)'])
+# Note how we made two legends
+\end{lstlisting}
+
+
+\emphbar{By default plots would be overlaid!}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Plotting separate figures}
+\begin{lstlisting}
+In []: clf()
+In []: figure(1)
+In []: plot(y, sin(y))
+In []: figure(2)
+In []: plot(y, cos(y))
+In []: savefig('cosine.png')
+In []: figure(1)
+In []: title('sin(y)')
+In []: savefig('sine.png')
+In []: close()
+In []: close()
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Get Axes lengths}
+\emphbar{Getting axes lengths}
+ \begin{lstlisting}
+In []: xmin, xmax = xlim()
+In []: ymin, ymax = ylim()
+In []: print(xmin, xmax)
+\end{lstlisting}
+\pause
+\emphbar{Set the axes limits}
+ \begin{lstlisting}
+In []: xlim(xmin, 2*pi )
+In []: ylim(ymin-0.2, ymax+0.2)
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[plain,fragile]
+ \frametitle{Axes lengths}
+ \vspace*{-0.2in}
+ \begin{center}
+ \includegraphics[height=3.25in, interpolate=true]{data/limits}
+ \end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{IPython tip: documentation}
+
+\begin{itemize}
+
+ \item Try:
+\begin{lstlisting}
+In []: plot?
+\end{lstlisting}
+ \vspace*{0.2in}
+ to get more information on \typ{plot}
+
+ \item Use arrow keys to scroll docs
+ \item Note: exit help pager with ``q'' or ``ESC''
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{IPython tip: source}
+\begin{itemize}
+ \item Try:
+\begin{lstlisting}
+In []: plot??
+\end{lstlisting}
+ to see the source code for \typ{plot}
+
+\end{itemize}
+\inctime{10}
+\end{frame}
+
+
+\begin{frame}[plain,fragile]
+\frametitle{Review Problem}
+\begin{enumerate}
+\item Plot $x, -x, \sin(x), x \sin(x)$ in range $-5\pi$ to $5\pi$
+\item Add a legend
+\item Annotate the origin
+\item Set axes limits to the range of x
+\end{enumerate}
+\vspace*{-0.15in}
+\begin{center}
+ \includegraphics[height=2.6in, interpolate=true]{data/four_plot}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Review Problem \ldots}
+\alert{Plotting \ldots}
+\begin{lstlisting}
+In []: x = linspace(-5*pi, 5*pi, 500)
+In []: plot(x, x, 'b')
+In []: plot(x, -x, 'b')
+In []: plot(x, sin(x), 'g', linewidth=2)
+In []: plot(x, x*sin(x), 'r',
+ linewidth=3)
+\end{lstlisting}
+$\vdots$
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Review Problem \ldots}
+\alert{Legend \& Annotation\ldots}
+\begin{lstlisting}
+In []: legend(['x', '-x', 'sin(x)',
+ 'xsin(x)'])
+In []: annotate('origin', xy = (0, 0))
+\end{lstlisting}
+\alert{Setting Axes limits\ldots}
+\begin{lstlisting}
+In []: xlim(-5*pi, 5*pi)
+In []: ylim(-5*pi, 5*pi)
+\end{lstlisting}
+\inctime{5}
+\end{frame}
+
+\section{Scripts -- Saving \& Running}
+\begin{frame}[fragile]
+\frametitle{Command History}
+Use the \typ{\%hist} \alert{magic} command of IPython
+\typ{In []: \%hist}\\
+This displays the ``Command History''
+\begin{block}{Careful about errors!}
+ \kwrd{\%hist} will contain the errors as well.\\
+\end{block}
+\pause
+\begin{block}{Magic Commands?}
+ Magic commands are commands provided by IPython to make our life easier.
+\end{block}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Saving commands into a script}
+ \begin{itemize}
+ \item Create a new file on Canopy
+ \item Copy commands for assignment with your mouse
+ \item Save the script to \typ{four_plot.py}
+ \end{itemize}
+\inctime{5}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Python Scripts\ldots}
+Now, \typ{four_plot.py} is called a Python Script.
+ \begin{itemize}
+ \item run the script in IPython using \typ{\%run four_plot.py}\\
+ \end{itemize}
+\pause
+\alert{\typ{NameError: name 'linspace' is not defined}}
+\begin{block}{}
+To avoid this, run using \alert{\typ{\%run -i four_plot.py}}\\
+\end{block}
+\pause
+Where is the plot?
+\begin{lstlisting}
+In []: show()
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Exercise}
+ \begin{itemize}
+ \item Add the \typ{show()} command to \typ{four_plot.py}
+ \item Test that it works
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Result graph}
+ \begin{center}
+ \includegraphics[height=3in, interpolate=true]{data/four_plot}
+ \end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Running with Python}
+ \begin{itemize}
+ \item Start a new Canopy terminal
+ \item Run the script as:
+ \end{itemize}
+\begin{lstlisting}
+ $ python four_plot.py
+\end{lstlisting}
+ \pause
+ Do you see:
+ \begin{small}
+\begin{lstlisting}
+NameError: name 'linspace' is not defined
+\end{lstlisting}
+ \end{small}
+\inctime{5}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Imports}
+ \begin{itemize}
+ \item \typ{ipython --pylab} does magic
+ \item Import libraries using \typ{import}
+ \end{itemize}
+\begin{lstlisting}
+In []: from pylab import linspace
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Exercise}
+ \begin{itemize}
+ \item Add \typ{from pylab import linspace} to top of \typ{four_plot.py}
+ \item Test that it works
+ \end{itemize}
+\begin{lstlisting}
+# four_plot.py
+from pylab import linspace # <---
+x = linspace(-5*pi, 5*pi, 500)
+plot(x, x, 'b')
+...
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Try again}
+ \begin{itemize}
+ \item On Canopy terminal
+ \item Run the script as:
+ \end{itemize}
+\begin{lstlisting}
+ $ python four_plot.py
+\end{lstlisting}
+ \pause
+ \vspace*{0.15in}
+ Do you see:
+ \begin{small}
+\begin{lstlisting}
+NameError: name 'plot' is not defined
+\end{lstlisting}
+ \end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Exercise}
+ \begin{itemize}
+ \item Change line 1 to \typ{from pylab import *}
+ \item Test that it works
+ \end{itemize}
+\begin{lstlisting}
+# four_plot.py
+from pylab import * # <---
+x = linspace(-5*pi, 5*pi, 500)
+plot(x, x, 'b')
+...
+\end{lstlisting}
+\inctime{5}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{What did we learn?}
+ \begin{itemize}
+ \item Starting up IPython
+ \item Creating simple plots
+ \item Adding labels and legends
+ \item Annotating plots
+ \item Changing the looks: size, linewidth
+ \item Accessing history, documentation
+ \item \kwrd{\%hist} - History of commands
+ \item Creating a Python script on Canopy
+ \item Running a script using \kwrd{\%run -i}
+ \item Importing functionality
+ \item Running a script with\ \typ{python script.py}
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Next: using Canopy}
+ \begin{itemize}
+ \item Much easier
+ \item Write code in the editor
+ \item Save (Ctrl-S or Cmd-S)
+ \item Run selection: Ctrl-Shift-R (Cmd-Shift-R on OS X)
+ \item Run code: Ctrl-R (Cmd-R on OS X)
+ \end{itemize}
+ \inctime{5}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Note on script file names}
+ \begin{itemize}
+ \item Should start with a letter
+ \item Can use \typ{_} (underscore) and numbers
+ \item No \typ{.} allowed
+ \item No spaces or special characters
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Test}
+ \begin{itemize}
+ \item \typ{1_script.py}
+ \item \typ{script_1.py}
+ \item \typ{one11.py}
+ \item \typ{one script.py}
+ \item \typ{one,script;xxx.py}
+ \item \typ{one.two.py}
+ \end{itemize}
+\end{frame}
+
+\end{document}
+
+%% Questions for Quiz %%
+%% ------------------ %%
+
+\begin{frame}[fragile]
+\frametitle{\incqno }
+Draw (roughly) the plot obtained by the following:
+\begin{lstlisting}
+In []: x = linspace(0, 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}
diff --git a/scipy/basic/session2.tex b/scipy/basic/session2.tex
new file mode 100644
index 0000000..359d1c8
--- /dev/null
+++ b/scipy/basic/session2.tex
@@ -0,0 +1,902 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: FOSSEE
+% Copyright (c) 2009, FOSSEE, IIT Bombay
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages}
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{infolines}
+ \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar}
+ {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+\newcommand{\num}{\texttt{numpy}}
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+% language=Python,
+% basicstyle=\small\ttfamily,
+% commentstyle=\ttfamily\color{blue},
+% stringstyle=\ttfamily\color{orange},
+% showstringspaces=false,
+% breaklines=true,
+% postbreak = \space\dots
+% }
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[Interactive Plotting]{Introductory Scientific Computing with
+Python}
+\subtitle{More plotting, lists and numpy arrays}
+
+\author[Prabhu] {FOSSEE}
+
+\institute[FOSSEE -- IITB] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {India\\
+2016
+}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command:
+%\beamerdefaultoverlayspecification{<+->}
+
+%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+ \titlepage
+\end{frame}
+
+\begin{frame}
+ \frametitle{Outline}
+ \tableofcontents
+ % You might wish to add the option [pausesections]
+\end{frame}
+
+\section{Plotting Points}
+\begin{frame}[fragile]
+\frametitle{Why would I plot f(x)?}
+Do we plot analytical functions or experimental data?
+\begin{small}
+\begin{lstlisting}
+In []: time = [0., 1., 2, 3]
+
+In []: distance = [7., 11, 15, 19]
+
+In []: plot(time,distance)
+Out[]: [<matplotlib.lines.Line2D object at 0xa73aa8c>]
+
+In []: xlabel('time')
+Out[]: <matplotlib.text.Text object at 0x986e9ac>
+
+In []: ylabel('distance')
+Out[]: <matplotlib.text.Text object at 0x98746ec>
+\end{lstlisting}
+\end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+\begin{figure}
+\includegraphics[width=3.5in]{data/straightline.png}
+\end{figure}
+\alert{Is this what you have?}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Plotting points}
+\begin{itemize}
+\item What if we want to plot the points?
+\end{itemize}
+\begin{lstlisting}
+ In []: clf()
+
+ In []: plot(time, distance, 'o')
+ Out[]: [<matplotlib.lines.Line2D object at 0xac17e0c>]
+
+ In []: clf()
+ In []: plot(time, distance, '.')
+ Out[]: [<matplotlib.lines.Line2D object at 0xac17e0c>]
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\begin{figure}
+\includegraphics[interpolate=true,width=2.35in]{data/stline_dots.png}
+\includegraphics[interpolate=true,width=2.35in]{data/stline_points.png}
+\end{figure}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Additional Line Styles}
+\begin{itemize}
+ \item \typ{'o'} - Filled circles
+ \item \typ{'.'} - Small Dots
+ \item \typ{'-'} - Lines
+ \item \typ{'--'} - Dashed lines
+\end{itemize}
+\end{frame}
+
+\section{Lists}
+\begin{frame}[fragile]
+ \frametitle{Lists: Introduction}
+ \begin{lstlisting}
+ In []: time = [0, 1, 2, 3]
+
+ In []: distance = [7, 11, 15, 19]
+
+ \end{lstlisting}
+What are \typ{x} and \typ{y}?\\
+\begin{center}
+\alert{\typ{lists!!}}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Lists: Initializing \& accessing elements}
+\begin{lstlisting}
+In []: mtlist = []
+\end{lstlisting}
+\emphbar{Empty List}
+\begin{lstlisting}
+In []: p = [ 2, 3, 5, 7]
+
+In []: p[1]
+Out[]: 3
+
+In []: p[0]+p[1]+p[-1]
+Out[]: 12
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{List: Slicing}
+ \begin{block}{Remember\ldots}
+ \kwrd{In []: p = [ 2, 3, 5, 7]}
+ \end{block}
+\begin{lstlisting}
+In []: p[1:3]
+Out[]: [3, 5]
+\end{lstlisting}
+\emphbar{A slice}
+\begin{lstlisting}
+In []: p[0:-1]
+Out[]: [2, 3, 5]
+In []: p[1:]
+Out[]: [3, 5, 7]
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{List: Slicing \ldots}
+\begin{lstlisting}
+In []: p[0:4:2]
+Out[]: [2, 5]
+In []: p[0::2]
+Out[]: [2, 5]
+In []: p[::2]
+Out[]: [2, 5]
+In []: p[::3]
+Out[]: [2, 7]
+In []: p[::-1]
+Out[]: [7, 5, 3, 2]
+\end{lstlisting}
+\alert{\typ{list[initial:final:step]}}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{List: Slicing}
+ What is the output of the following?
+\begin{lstlisting}
+In []: p[1::2]
+
+In []: p[1:-1:2]
+\end{lstlisting}
+\end{frame}
+
+
+%% more on list slicing
+\begin{frame}[fragile]
+\frametitle{List operations}
+\begin{lstlisting}
+In []: b = [ 11, 13, 17]
+In []: c = p + b
+
+In []: c
+Out[]: [2, 3, 5, 7, 11, 13, 17]
+
+In []: p.append(11)
+In []: p
+Out[]: [ 2, 3, 5, 7, 11]
+\end{lstlisting}
+Question: Does \typ{c} change now that \typ{p} is changed?
+\inctime{10}
+\end{frame}
+
+\section{Simple Pendulum}
+\begin{frame}[fragile]
+\frametitle{Simple Pendulum - L and T}
+Let us look at the Simple Pendulum experiment.
+\begin{center}
+\begin{small}
+\begin{tabular}{| c | c | c |}
+\hline
+$L$ & $T$ & $T^2$ \\ \hline
+0.1 & 0.69 & \\ \hline
+0.2 & 0.90 & \\ \hline
+0.3 & 1.19 & \\ \hline
+0.4 & 1.30 & \\ \hline
+0.5 & 1.47 & \\ \hline
+0.6 & 1.58 & \\ \hline
+0.7 & 1.77 & \\ \hline
+0.8 & 1.83 & \\ \hline
+0.9 & 1.94 & \\ \hline
+\end{tabular}
+\end{small}\\
+\alert{$L \alpha T^2$}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Lets use lists}
+\begin{lstlisting}
+In []: L = [0.1, 0.2, 0.3, 0.4, 0.5,
+ 0.6, 0.7, 0.8, 0.9]
+
+In []: t = [0.69, 0.90, 1.19,
+ 1.30, 1.47, 1.58,
+ 1.77, 1.83, 1.94]
+\end{lstlisting}
+\alert{Gotcha}: Make sure \typ{L} and \typ{t} have the same number
+of elements
+
+\begin{lstlisting}
+In []: print len(L), len(t)
+\end{lstlisting}
+
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Plotting $L$ vs $T^2$}
+\begin{itemize}
+\item We must square each of the values in \typ{t}
+\item How do we do it?
+\item We use a \kwrd{for} loop to iterate over \typ{t}
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Plotting $L$ vs $T^2$}
+\begin{lstlisting}
+In []: tsq = []
+
+In []: for time in t:
+ ....: tsq.append(time*time)
+ ....:
+ ....:
+
+\end{lstlisting}
+This gives \typ{tsq} which is the list of squares of \typ{t} values.
+\begin{lstlisting}
+In []: print len(L), len(t), len(tsq)
+Out[]: 9 9 9
+
+In []: plot(L, tsq)
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\begin{figure}
+\includegraphics[width=3.5in]{data/L-TSq-limited.png}
+\end{figure}
+\end{frame}
+
+
+\begin{frame}[fragile]
+\frametitle{This seems tedious}
+\begin{itemize}
+ \item Lists
+\begin{itemize}
+ \item Nice
+ \item Not too convenient
+ \item Slow
+\end{itemize}
+\item Enter NumPy arrays
+ \begin{itemize}
+ \item Fixed size, data type
+ \item Fast
+ \item Very convenient
+ \end{itemize}
+\end{itemize}
+\end{frame}
+
+\subsection{\num\ arrays}
+
+\begin{frame}[fragile]
+\frametitle{NumPy arrays}
+\begin{lstlisting}
+In []: t = array(t)
+
+In []: tsq = t*t
+
+In []: print tsq
+
+In []: plot(L, tsq) # works!
+\end{lstlisting} %$
+\end{frame}
+
+
+\begin{frame}[fragile]
+\frametitle{Speed?}
+
+\noindent Lets use range to create a large list.
+
+\begin{lstlisting}
+In []: t = range(1000000)
+In []: tsq = []
+
+In []: for time in t:
+ ....: tsq.append(time*time)
+ ....:
+ ....:
+\end{lstlisting} %$
+
+\noindent Now try it with
+
+\begin{lstlisting}
+In []: t = array(t)
+
+In []: tsq = t*t
+\end{lstlisting}
+\ldots
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{How fast is this?}
+\noindent Lets define a function for the list
+\begin{lstlisting}
+In []: def sqr(arr):
+ ...: result = []
+ ...: for x in arr:
+ ...: result.append(x*x)
+ ...: return result
+ ...:
+
+In []: tsq = sqr(t)
+
+\end{lstlisting} %$
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Aside: Defining functions}
+ \begin{itemize}
+ \item Consider the function \texttt{f(x) = x\textasciicircum{}2}
+ \item Let's write a Python function, equivalent to this
+ \end{itemize}
+ \begin{lstlisting}
+ In[]: def f(x):
+ ....: return x*x
+ ....:
+
+ In[]: f(1)
+ In[]: f(2)
+ \end{lstlisting}
+ \begin{itemize}
+ \item \texttt{def} is a keyword
+ \item \texttt{f} is the name of the function
+ \item \texttt{x} the parameter of the function
+ \item \texttt{return} is a keyword
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{IPython tip: Timing}
+
+Try the following:
+ \begin{lstlisting}
+In []: %timeit sqr(t)
+
+In []: %timeit?
+
+ \end{lstlisting}
+
+ \begin{itemize}
+ \item \typ{\%timeit}: accurate, many measurements
+ \item Can also use \typ{\%time}
+ \item \typ{\%time}: less accurate, one measurement
+ \end{itemize}
+
+\inctime{15}
+\end{frame}
+
+
+\begin{frame}[fragile]
+\frametitle{Exercise}
+\begin{center}
+ Find out the speed difference between the \typ{sqr} function and
+ \typ{t*t} on the numpy array.
+\end{center}
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{The \num\ module}
+ \begin{itemize}
+ \item Efficient, powerful array type
+ \item Abstracts out standard operations on arrays
+ \item Convenience functions
+ \item \typ{ipython -pylab} imports part of numpy
+ \item Without the Pylab mode do:
+ \end{itemize}
+ \begin{lstlisting}
+In []: import numpy
+
+In []: from numpy import *
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}
+ \frametitle{\num\ arrays}
+ \begin{itemize}
+ \item Fixed size (\typ{arr.size})
+ \item Same type (\typ{arr.dtype})
+ \item Arbitrary dimensionality: \typ{arr.shape}
+ \item \typ{shape}: extent (size) along each dimension
+ \item \typ{arr.itemsize}: number of bytes per element
+ \item \alert{Note:} \typ{shape} can change so long as the \typ{size}
+ is constant
+ \item Indices start from 0
+ \item Negative indices work like lists
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\num\ arrays}
+\begin{lstlisting}
+In []: a = array([1,2,3,4])
+In []: b = array([2,3,4,5])
+
+In []: print a[0], a[-1]
+1, 4
+
+In []: a[0] = -1
+In []: a[0] = 1
+\end{lstlisting}
+Operations are elementwise
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Simple operations}
+\begin{lstlisting}
+In []: a + b
+Out[]: array([3, 5, 7, 9])
+In []: a*b
+Out[]: array([2, 6, 12, 20])
+In []: a/b
+Out[]: array([0, 0, 0, 0])
+\end{lstlisting}
+Operations are elementwise, types matter.
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Data type matters}
+ Try again with this:
+\begin{lstlisting}
+In []: a = array([1.,2,3,4])
+In []: a/b
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Examples}
+\noindent \typ{pi} and \typ{e} are defined.
+\begin{lstlisting}
+In []: x = linspace(0.0, 10.0, 200)
+In []: x *= 2*pi/10
+# apply functions to array.
+In []: y = sin(x)
+In []: y = cos(x)
+In []: x[0] = -1
+In []: print x[0], x[-1]
+-1.0 10.0
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\typ{size, shape, rank} etc.}
+\vspace*{-8pt}
+\begin{lstlisting}
+In []: x = array([1., 2, 3, 4])
+In []: size(x)
+Out[]: 4
+In []: x.dtype
+dtype('float64')
+In []: x.shape
+Out[] (4,)
+In []: rank(x)
+Out[]: 1
+In []: x.itemsize
+Out[]: 8
+\end{lstlisting}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{Multi-dimensional arrays}
+\begin{lstlisting}
+In []: a = array([[ 0, 1, 2, 3],
+ ...: [10,11,12,13]])
+In []: a.shape # (rows, columns)
+Out[]: (2, 4)
+
+In []: a[1,3]
+Out[]: 13
+
+In []: a[1,3] = -1
+In []: a[1] # The second row
+array([10,11,12,-1])
+In []: a[1] = 0 # Entire row to zero.
+\end{lstlisting}
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Slicing arrays}
+ \vspace*{-0.2in}
+\begin{lstlisting}
+In []: a = array([[1,2,3], [4,5,6],
+ ...: [7,8,9]])
+In []: a[0,1:3]
+Out[]: array([2, 3])
+In []: a[1:,1:]
+Out[]: array([[5, 6],
+ [8, 9]])
+In []: a[:,2]
+Out[]: array([3, 6, 9])
+In []: a[0::2,0::2] # Striding...
+Out[]: array([[1, 3],
+ [7, 9]])
+# Slices refer to the same memory!
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Array creation functions}
+ \begin{itemize}
+ \item \typ{array(object)}
+ \item \typ{linspace(start, stop, num=50)}
+ \item \typ{ones(shape)}
+ \item \typ{zeros((d1,...,dn))}
+ \item \typ{empty((d1,...,dn))}
+ \item \typ{identity(n)}
+ \item \typ{ones\_like(x)}, \typ{zeros\_like(x)}, \typ{empty\_like(x)}
+ \end{itemize}
+ May pass an optional \typ{dtype=} keyword argument
+
+ For more dtypes see: \typ{numpy.typeDict}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Creation examples}
+ \vspace*{-0.25in}
+\begin{lstlisting}
+In []: a = array([1,2,3], dtype=float)
+In []: ones( (2, 3) )
+Out[]: array([[ 1., 1., 1.],
+ [ 1., 1., 1.]])
+In []: identity(3)
+Out[]: array([[ 1., 0., 0.],
+ [ 0., 1., 0.],
+ [ 0., 0., 1.]])
+In []: ones_like(a)
+Out[]: array([ 1., 1., 1., 1.])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Array math}
+ \begin{itemize}
+ \item Basic \alert{elementwise} math (given two arrays \typ{a, b}):
+ \begin{itemize}
+ \item \typ{a + b} $\rightarrow$ \typ{add(a, b)}
+ \item \typ{a - b}, $\rightarrow$ \typ{subtract(a, b)}
+ \item \typ{a * b}, $\rightarrow$ \typ{multiply(a, b)}
+ \item \typ{a / b}, $\rightarrow$ \typ{divide(a, b)}
+ \item \typ{a \% b}, $\rightarrow$ \typ{remainder(a, b)}
+ \item \typ{a ** b}, $\rightarrow$ \typ{power(a, b)}
+ \end{itemize}
+ \item Inplace operators: \typ{a += b}, or \typ{add(a, b,
+ a)}
+ \alert{What happens if \typ{a} is \typ{int} and \typ{b} is \typ{float?}}
+ \item Logical operations: \typ{==, !=, <, >}, etc.
+ \item \typ{sin(x), arcsin(x), sinh(x)},
+ \typ{exp(x), sqrt(x)} etc.
+ \item \typ{sum(x, axis=0), product(x, axis=0)}
+ \item \typ{dot(a, b)}
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Convenience functions: \typ{loadtxt}}
+ \begin{itemize}
+ \item \typ{loadtxt(file_name)}: loads a text file
+ \item \typ{loadtxt(file_name, unpack=True)}: loads a text file and
+ unpacks columns
+ \end{itemize}
+ \begin{lstlisting}
+In []: x = loadtxt('pendulum.txt')
+In []: x.shape
+Out[]: (90, 2)
+
+In []: x, y = loadtxt('pendulum.txt',
+ ...: unpack=True)
+In []: x.shape
+Out[]: (90,)
+ \end{lstlisting}
+
+ \inctime{20}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{Advanced}
+ \begin{itemize}
+ \item Only scratched the surface of \num
+ \item \typ{reduce, outer}
+ \item Typecasting
+ \item More functions: \typ{take, choose, where}, \typ{compress,
+ concatenate}
+ \item Array broadcasting and \typ{None}
+ \item Record arrays
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Learn more}
+ \begin{itemize}
+ \item \url{http://wiki.scipy.org/Tentative_NumPy_Tutorial}
+ \item \url{http://numpy.org}
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Recap}
+ \begin{itemize}
+ \item Basic concepts: creation, access, operations
+ \item 1D, multi-dimensional
+ \item Slicing
+ \item Array creation, dtypes
+ \item Math
+ \item \typ{loadtxt}
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Example: plotting data from file}
+\alert{Data is usually present in a file!} \\
+Lets look at the \typ{pendulum.txt} file.
+\begin{lstlisting}
+In []: cat pendulum.txt
+1.0000e-01 6.9004e-01
+1.1000e-01 6.9497e-01
+1.2000e-01 7.4252e-01
+1.3000e-01 7.5360e-01
+\end{lstlisting}
+\ldots
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Reading \typ{pendulum.txt}}
+\begin{itemize}
+ \item File contains L vs.\ T values
+ \item First Column - L values
+ \item Second Column - T values
+ \item Let us generate a plot from the data file
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Gotcha and an aside}
+ Ensure you are in the same directory as \typ{pendulum.txt}\\
+ if not, do the following on IPython:
+ \begin{lstlisting}
+In []: %cd directory_containing_file
+# Check if pendulum.txt is there.
+In []: ls
+# Also try
+In []: !ls
+ \end{lstlisting}
+
+ \alert{Note:} \typ{\%cd} is an IPython magic command. For more information
+ do:
+ \begin{lstlisting}
+In []: ?
+ \end{lstlisting}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{Exercise}
+ \begin{itemize}
+ \item Plot L versus T square with dots
+ \item No line connecting points
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Solution}
+\begin{lstlisting}
+In []: L, t = loadtxt('pendulum.txt',
+ ....: unpack=True)
+In []: plot(L, t*t, '.')
+\end{lstlisting}
+or
+\begin{lstlisting}
+In []: x = loadtxt('pendulum.txt')
+In []: L, t = x[:,0], x[:,1]
+In []: plot(L, t*t, '.')
+\end{lstlisting}
+
+\end{frame}
+
+
+\begin{frame}[fragile]
+\begin{figure}
+\includegraphics[width=3.5in]{data/L-Tsq.png}
+\end{figure}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Odds and ends}
+\begin{lstlisting}
+In []: mean(L)
+Out[]: 0.54499999999999993
+
+In []: std(L)
+Out[]: 0.25979158313283879
+\end{lstlisting}
+\end{frame}
+
+\section {Summary}
+\begin{frame}[fragile]
+\frametitle{What did we learn?}
+\begin{itemize}
+ \item Plot attributes and plotting points
+ \item Lists
+ \item Introduction to \num\ arrays
+\end{itemize}
+
+\inctime{10}
+\end{frame}
+
+\end{document}
+
+%% Questions for Quiz %%
+%% ------------------ %%
+
+\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}
diff --git a/scipy/basic/session3.tex b/scipy/basic/session3.tex
new file mode 100644
index 0000000..6d603a5
--- /dev/null
+++ b/scipy/basic/session3.tex
@@ -0,0 +1,830 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: FOSSEE
+% Copyright (c) 2009, FOSSEE, IIT Bombay
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages}
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{infolines}
+ \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{amsmath}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar}
+ {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+% language=Python,
+% basicstyle=\small\ttfamily,
+% commentstyle=\ttfamily\color{blue},
+% stringstyle=\ttfamily\color{orange},
+% showstringspaces=false,
+% breaklines=true,
+% postbreak = \space\dots
+% }
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[More on numpy arrays]{Introductory Scientific Computing with
+Python}
+\subtitle{More on numpy arrays}
+
+\author[Prabhu] {FOSSEE}
+
+\institute[FOSSEE -- IITB] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {SciPy India, 2014\\
+December, 2014
+}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command:
+%\beamerdefaultoverlayspecification{<+->}
+
+%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+ \titlepage
+\end{frame}
+
+\begin{frame}
+ \frametitle{Outline}
+ \tableofcontents
+% \pausesections
+\end{frame}
+
+\section{Matrices}
+
+\begin{frame}
+\frametitle{Matrices: Introduction}
+\alert{All matrix operations are done using \kwrd{arrays}}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Matrices: Initializing}
+\begin{lstlisting}
+In []: c = array([[11,12,13],
+ [21,22,23],
+ [31,32,33]])
+
+In []: c
+Out[]:
+array([[11, 12, 13],
+ [21, 22, 23],
+ [31, 32, 33]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Initializing some special matrices}
+\begin{small}
+ \begin{lstlisting}
+In []: ones((3,5))
+Out[]:
+array([[ 1., 1., 1., 1., 1.],
+ [ 1., 1., 1., 1., 1.],
+ [ 1., 1., 1., 1., 1.]])
+
+In []: ones_like([1, 2, 3, 4])
+Out[]: array([1, 1, 1, 1])
+
+In []: identity(2)
+Out[]:
+array([[ 1., 0.],
+ [ 0., 1.]])
+ \end{lstlisting}
+Also available \alert{\typ{zeros, zeros_like, empty, empty_like}}
+\end{small}
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{Accessing elements}
+ \begin{small}
+ \begin{lstlisting}
+In []: c
+Out[]:
+array([[11, 12, 13],
+ [21, 22, 23],
+ [31, 32, 33]])
+
+In []: c[1][2]
+Out[]: 23
+In []: c[1,2]
+Out[]: 23
+
+In []: c[1]
+Out[]: array([21, 22, 23])
+ \end{lstlisting}
+ \end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Changing elements}
+ \begin{small}
+ \begin{lstlisting}
+In []: c[1,1] = -22
+In []: c
+Out[]:
+array([[ 11, 12, 13],
+ [ 21, -22, 23],
+ [ 31, 32, 33]])
+
+In []: c[1] = 0
+In []: c
+Out[]:
+array([[11, 12, 13],
+ [ 0, 0, 0],
+ [31, 32, 33]])
+ \end{lstlisting}
+ \end{small}
+How do you access one \alert{column}?
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Slicing}
+\begin{small}
+ \begin{lstlisting}
+In []: c[:,1]
+Out[]: array([12, 0, 32])
+
+In []: c[1,:]
+Out[]: array([0, 0, 0])
+
+In []: c[0:2,:]
+Out[]:
+array([[11, 12, 13],
+ [ 0, 0, 0]])
+
+In []: c[1:3,:]
+Out[]:
+array([[ 0, 0, 0],
+ [31, 32, 33]])
+ \end{lstlisting}
+\end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Slicing \ldots}
+\begin{small}
+ \begin{lstlisting}
+In []: c[:2,:]
+Out[]:
+array([[11, 12, 13],
+ [ 0, 0, 0]])
+
+In []: c[1:,:]
+Out[]:
+array([[ 0, 0, 0],
+ [31, 32, 33]])
+
+In []: c[1:,:2]
+Out[]:
+array([[ 0, 0],
+ [31, 32]])
+ \end{lstlisting}
+
+\end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Striding}
+ \begin{small}
+ \begin{lstlisting}
+In []: c[::2,:]
+Out[]:
+array([[11, 12, 13],
+ [31, 32, 33]])
+
+In []: c[:,::2]
+Out[]:
+array([[11, 13],
+ [ 0, 0],
+ [31, 33]])
+
+In []: c[::2,::2]
+Out[]:
+array([[11, 13],
+ [31, 33]])
+ \end{lstlisting}
+ \end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Shape of a matrix}
+ \begin{lstlisting}
+In []: c
+Out[]:
+array([[11, 12, 13],
+ [ 0, 0, 0],
+ [31, 32, 33]])
+
+In []: c.shape
+Out[]: (3, 3)
+ \end{lstlisting}
+\emphbar{Shape specifies shape or dimensions of a matrix}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Elementary image processing}
+\begin{small}
+ \begin{lstlisting}
+In []: a = imread('lena.png')
+
+In []: imshow(a)
+Out[]: <matplotlib.image.AxesImage object at 0xa0384cc>
+ \end{lstlisting}
+ \end{small}
+\typ{imread} returns an array of shape (512, 512, 4) which represents an image of 512x512 pixels and 4 shades.\\
+\typ{imshow} renders the array as an image.
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Slicing \& Striding Exercises}
+ \begin{itemize}
+ \item Crop the image to get the top-left quarter
+ \item Crop the image to get only the face
+ \item Resize image to half by dropping alternate pixels
+ \end{itemize}
+
+\end{frame}
+\begin{frame}[fragile]
+ \frametitle{Solutions}
+\begin{small}
+ \begin{lstlisting}
+In []: imshow(a[:256,:256])
+Out[]: <matplotlib.image.AxesImage object at 0xb6f658c>
+
+In []: imshow(a[200:400,200:400])
+Out[]: <matplotlib.image.AxesImage object at 0xb757c2c>
+
+In []: imshow(a[::2,::2])
+Out[]: <matplotlib.image.AxesImage object at 0xb765c8c>
+ \end{lstlisting}
+\end{small}
+\inctime{15}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Transpose of a Matrix}
+\begin{lstlisting}
+In []: a = array([[ 1, 1, 2, -1],
+ ...: [ 2, 5, -1, -9],
+ ...: [ 2, 1, -1, 3],
+ ...: [ 1, -3, 2, 7]])
+
+In []: a.T
+Out[]:
+array([[ 1, 2, 2, 1],
+ [ 1, 5, 1, -3],
+ [ 2, -1, -1, 2],
+ [-1, -9, 3, 7]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Matrix Addition}
+ \begin{lstlisting}
+In []: b = array([[3,2,-1,5],
+ [2,-2,4,9],
+ [-1,0.5,-1,-7],
+ [9,-5,7,3]])
+In []: a + b
+Out[]:
+array([[ 4. , 3. , 1. , 4. ],
+ [ 4. , 3. , 3. , 0. ],
+ [ 1. , 1.5, -2. , -4. ],
+ [ 10. , -8. , 9. , 10. ]])
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Elementwise Multiplication}
+\begin{lstlisting}
+In []: a*b
+Out[]:
+array([[ 3. , 2. , -2. , -5. ],
+ [ 4. , -10. , -4. , -81. ],
+ [ -2. , 0.5, 1. , -21. ],
+ [ 9. , 15. , 14. , 21. ]])
+
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Matrix Multiplication}
+\begin{lstlisting}
+In []: dot(a, b)
+Out[]:
+array([[ -6. , 6. , -6. , -3. ],
+ [-64. , 38.5, -44. , 35. ],
+ [ 36. , -13.5, 24. , 35. ],
+ [ 58. , -26. , 34. , -15. ]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Inverse of a Matrix}
+\begin{lstlisting}
+
+\end{lstlisting}
+\begin{small}
+\begin{lstlisting}
+In []: inv(a)
+Out[]:
+array([[-0.5 , 0.55, -0.15, 0.7 ],
+ [ 0.75, -0.5 , 0.5 , -0.75],
+ [ 0.5 , -0.15, -0.05, -0.1 ],
+ [ 0.25, -0.25, 0.25, -0.25]])
+\end{lstlisting}
+\end{small}
+\emphbar{Try this: \typ{I = dot(a, inv(a))}}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Determinant and sum of all elements}
+\begin{lstlisting}
+In []: det(a)
+Out[]: 80.0
+\end{lstlisting}
+ \begin{lstlisting}
+In []: sum(a)
+Out[]: 12
+ \end{lstlisting}
+
+\end{frame}
+
+%%use S=array(X,Y)
+\begin{frame}[fragile]
+\frametitle{Eigenvalues and Eigen Vectors}
+\begin{small}
+\begin{lstlisting}
+In []: e = array([[3,2,4],[2,0,2],[4,2,3]])
+
+In []: eig(e)
+Out[]:
+(array([-1., 8., -1.]),
+ array([[-0.74535599, 0.66666667, -0.1931126 ],
+ [ 0.2981424 , 0.33333333, -0.78664085],
+ [ 0.59628479, 0.66666667, 0.58643303]]))
+
+In []: eigvals(e)
+Out[]: array([-1., 8., -1.])
+\end{lstlisting}
+\end{small}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Computing Norms}
+\begin{lstlisting}
+In []: norm(e)
+Out[]: 8.1240384046359608
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Singular Value Decomposition}
+ \begin{small}
+ \begin{lstlisting}
+In []: svd(e)
+Out[]:
+(array(
+[[ -6.66666667e-01, -1.23702565e-16, 7.45355992e-01],
+ [ -3.33333333e-01, -8.94427191e-01, -2.98142397e-01],
+ [ -6.66666667e-01, 4.47213595e-01, -5.96284794e-01]]),
+ array([ 8., 1., 1.]),
+ array([[-0.66666667, -0.33333333, -0.66666667],
+ [-0. , 0.89442719, -0.4472136 ],
+ [-0.74535599, 0.2981424 , 0.59628479]]))
+ \end{lstlisting}
+ \end{small}
+ \inctime{10}
+\end{frame}
+
+\section{Least Squares Fit}
+\begin{frame}[fragile]
+\frametitle{$L$ vs. $T^2$ - Scatter}
+Linear trend visible.
+\vspace{-0.1in}
+\begin{figure}
+\includegraphics[width=4in]{data/L-Tsq-points}
+\end{figure}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{$L$ vs. $T^2$ - Line}
+This line does not make any mathematical sense.
+\vspace{-0.1in}
+\begin{figure}
+\includegraphics[width=4in]{data/L-Tsq-Line}
+\end{figure}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{$L$ vs. $T^2$ - Least Square Fit}
+This is what our intention is.
+\vspace{-0.1in}
+\begin{figure}
+\includegraphics[width=4in]{data/least-sq-fit}
+\end{figure}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Matrix Formulation}
+\begin{itemize}
+\item We need to fit a line through points for the equation $T^2 = m \cdot L+c$
+\item In matrix form, the equation can be represented as $T_{sq} = A \cdot p$, where $T_{sq}$ is
+ $\begin{bmatrix}
+ T^2_1 \\
+ T^2_2 \\
+ \vdots\\
+ T^2_N \\
+ \end{bmatrix}$
+, A is
+ $\begin{bmatrix}
+ L_1 & 1 \\
+ L_2 & 1 \\
+ \vdots & \vdots\\
+ L_N & 1 \\
+ \end{bmatrix}$
+ and p is
+ $\begin{bmatrix}
+ m\\
+ c\\
+ \end{bmatrix}$
+\item We need to find $p$ to plot the line
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Getting $L$ and $T^2$}
+%If you \alert{closed} IPython after session 2
+\begin{lstlisting}
+In []: L, t = loadtxt('pendulum.txt',
+ ...: unpack=True)
+In []: tsq = t*t
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Generating $A$}
+\begin{lstlisting}
+In []: A = array([L, ones_like(L)])
+In []: A = A.T
+\end{lstlisting}
+%% \begin{itemize}
+%% \item A is also called a Van der Monde matrix
+%% \item It can also be generated using \typ{vander}
+%% \end{itemize}
+%% \begin{lstlisting}
+%% In []: A = vander(L, 2)
+%% \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{\typ{lstsq} \ldots}
+\begin{itemize}
+\item Now use the \typ{lstsq} function
+\item Along with a lot of things, it returns the least squares solution
+\end{itemize}
+\begin{lstlisting}
+In []: result = lstsq(A,tsq)
+In []: coef = result[0]
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Least Square Fit Line \ldots}
+We get the points of the line from \typ{coef}
+\begin{lstlisting}
+In []: Tline = coef[0]*L + coef[1]
+
+In []: Tline.shape
+\end{lstlisting}
+\begin{itemize}
+\item Now plot \typ{Tline} vs. \typ{L}, to get the least squares fit line.
+\end{itemize}
+\begin{lstlisting}
+In []: plot(L, Tline, 'r')
+
+In []: plot(L, tsq, 'o')
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Least Squares Fit}
+\vspace{-0.15in}
+\begin{figure}
+\includegraphics[width=4in]{data/least-sq-fit}
+\end{figure}
+\inctime{10}
+\end{frame}
+
+\section{Random numbers}
+
+\begin{frame}[fragile]
+ \frametitle{\typ{numpy.random}}
+ \begin{itemize}
+ \item Easy random number generation
+ \end{itemize}
+ \begin{lstlisting}
+In []: random?
+ \end{lstlisting}
+ Or:
+ \begin{lstlisting}
+In []: import numpy
+In []: numpy.random
+ \end{lstlisting}
+\begin{itemize}
+ \item \typ{random.random}: produces uniform deviates in $[0, 1)$
+ \item \typ{random.normal}: draws random samples from a Gaussian
+ distribution
+ \item Useful to create a random matrix of any shape
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Using the \typ{random} module}
+\begin{lstlisting}
+In []: x = random.random(size=1000)
+In []: y = random.random(size=1000)
+In []: scatter(x, y) # Scatter plot it.
+
+In []: x,y = random.normal(size=(2,1000))
+In []: clf()
+In []: scatter(x, y)
+\end{lstlisting}
+Note that \typ{size} can be a tuple.
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Using the \typ{random} module}
+\begin{lstlisting}
+In []: img = random.random(
+ . size=(200, 200))
+In []: clf()
+In []: imshow(img)
+\end{lstlisting}
+\inctime{5}
+\end{frame}
+
+
+\section{Record arrays}
+
+\begin{frame}[fragile]
+ \frametitle{Record arrays}
+ \begin{itemize}
+ \item Numpy arrays
+ \item Create custom data types
+ \item Consider: \\
+ \typ{[ (id0, x0), (id1, x1), ...]}
+ \item \typ{id}: int
+ \item \typ{x}: float
+
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Record arrays}
+ \begin{lstlisting}
+In []: typ = [('id', int), ('x', float)]
+In []: rec = numpy.zeros(10, dtype=typ)
+In []: rec['id'] = range(10)
+In []: rec['x'] = random.random(size=10)
+ \end{lstlisting}
+ \begin{itemize}
+ \item Data type can be any valid numpy dtype
+ \item Very convenient
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\typ{csv2rec}}
+ \begin{itemize}
+ \item CSV file $\rightarrow$ Record array
+ \item Very convenient and powerful
+ \item Automatic naming
+ \item Handles missing data
+ \item Handles different delimiters
+ \end{itemize}
+ \begin{lstlisting}
+In []: csv2rec?
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\typ{csv2rec} example data}
+ \begin{itemize}
+ \item \typ{data.csv}
+ \item First column ``x''
+ \item Second column ``y''
+ \item Third column ``temp''
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\typ{csv2rec} example}
+ \begin{lstlisting}
+In []: data = csv2rec('data.csv')
+In []: scatter(data['x'], data['y'],
+ ...: c=data['temp'])
+In []: colorbar()
+ \end{lstlisting}
+\end{frame}
+
+\section{Summary}
+\begin{frame}
+ \frametitle{What did we learn?}
+ \begin{itemize}
+ \item Matrices
+ \item Least Squares
+ \item Random numbers
+ \item Record arrays
+ \item \typ{csv2rec}
+ \end{itemize}
+ \inctime{5}
+\end{frame}
+
+\end{document}
+
+%% Questions for Quiz %%
+%% ------------------ %%
+
+\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}
+
diff --git a/scipy/basic/session4.tex b/scipy/basic/session4.tex
new file mode 100644
index 0000000..4c0cd5b
--- /dev/null
+++ b/scipy/basic/session4.tex
@@ -0,0 +1,780 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: FOSSEE
+% Copyright (c) 2009, FOSSEE, IIT Bombay
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages}
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{infolines}
+ \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{pgf}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+\usepackage{amsmath}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar}
+ {#1}
+ \end{beamercolorbox}
+}
+
+\newcommand{\myemph}[1]{\structure{\emph{#1}}}
+\newcommand{\PythonCode}[1]{\lstinline{#1}}
+
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+% language=Python,
+% basicstyle=\small\ttfamily,
+% commentstyle=\ttfamily\color{blue},
+% stringstyle=\ttfamily\color{orange},
+% showstringspaces=false,
+% breaklines=true,
+% postbreak = \space\dots
+% }
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[Basic SciPy and Mayavi]{Introductory Scientific Computing with
+Python}
+\subtitle{Basic SciPy and Mayavi}
+
+\author[Prabhu] {FOSSEE}
+
+\institute[FOSSEE -- IITB] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {SciPy India, 2014\\
+December, 2014
+}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command:
+%\beamerdefaultoverlayspecification{<+->}
+
+%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+ \maketitle
+\end{frame}
+
+
+\section{Solving linear systems}
+
+\begin{frame}[fragile]
+\frametitle{Solution of equations}
+Consider,
+ \begin{align*}
+ 3x + 2y - z & = 1 \\
+ 2x - 2y + 4z & = -2 \\
+ -x + \frac{1}{2}y -z & = 0
+ \end{align*}
+Solution:
+ \begin{align*}
+ x & = 1 \\
+ y & = -2 \\
+ z & = -2
+ \end{align*}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Solving using Matrices}
+Let us now look at how to solve this using \kwrd{matrices}
+ \begin{lstlisting}
+In []: A = array([[3,2,-1],
+ [2,-2,4],
+ [-1, 0.5, -1]])
+In []: b = array([1, -2, 0])
+In []: x = solve(A, b)
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Solution:}
+\begin{lstlisting}
+In []: x
+Out[]: array([ 1., -2., -2.])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Let's check!}
+\begin{small}
+\begin{lstlisting}
+In []: Ax = dot(A, x)
+In []: Ax
+Out[]: array([ 1.00000000e+00, -2.00000000e+00, -1.11022302e-16])
+\end{lstlisting}
+\end{small}
+\begin{block}{}
+The last term in the matrix is actually \alert{0}!\\
+We can use \kwrd{allclose()} to check.
+\end{block}
+\begin{lstlisting}
+In []: allclose(Ax, b)
+Out[]: True
+\end{lstlisting}
+\inctime{5}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Problem}
+Solve the set of equations:
+\begin{align*}
+ x + y + 2z -w & = 3\\
+ 2x + 5y - z - 9w & = -3\\
+ 2x + y -z + 3w & = -11 \\
+ x - 3y + 2z + 7w & = -5\\
+\end{align*}
+\inctime{5}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Solution}
+Use \kwrd{solve()}
+\begin{align*}
+ x & = -5\\
+ y & = 2\\
+ z & = 3\\
+ w & = 0\\
+\end{align*}
+\end{frame}
+
+\section{Finding Roots}
+
+\begin{frame}[fragile]
+\frametitle{SciPy: \typ{roots}}
+\begin{itemize}
+\item Calculates the roots of polynomials
+\item To calculate the roots of $x^2-5x+6$
+\end{itemize}
+\begin{lstlisting}
+ In []: coeffs = [1, -5, 6]
+ In []: roots(coeffs)
+ Out[]: array([3., 2.])
+\end{lstlisting}
+\vspace*{-.2in}
+\begin{center}
+\includegraphics[height=1.6in, interpolate=true]{data/roots}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{SciPy: \typ{fsolve}}
+Find the root of $sin(z)+cos^2(z)$ nearest to $0$
+\vspace{-0.1in}
+\begin{center}
+\includegraphics[height=2.8in, interpolate=true]{data/fsolve}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{\typ{fsolve}}
+\begin{small}
+\begin{lstlisting}
+ In []: from scipy.optimize import fsolve
+\end{lstlisting}
+\end{small}
+\begin{itemize}
+\item Finds the roots of a system of non-linear equations
+\item Input arguments - \alert{Function} and initial estimate
+\item Returns the solution
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{\typ{fsolve} \ldots}
+\begin{lstlisting}
+In []: def g(z):
+ ....: return sin(z)+cos(z)*cos(z)
+In []: fsolve(g, 0)
+Out[]: -0.66623943249251527
+\end{lstlisting}
+\begin{center}
+\includegraphics[height=2in, interpolate=true]{data/fsolve}
+\end{center}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Exercise Problem}
+ Find the root of the equation $x^2 - sin(x) + cos^2(x) = tan(x)$ nearest to $0$
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Solution}
+ \begin{small}
+ \begin{lstlisting}
+def g(x):
+ return x**2 - sin(x) + cos(x)*cos(x) - tan(x)
+fsolve(g, 0)
+ \end{lstlisting}
+ \end{small}
+ \begin{center}
+\includegraphics[height=2in, interpolate=true]{data/fsolve_tanx}
+ \end{center}
+ \inctime{10}
+\end{frame}
+
+%% \begin{frame}[fragile]
+%% \frametitle{Scipy Methods \dots}
+%% \begin{small}
+%% \begin{lstlisting}
+%% In []: from scipy.optimize import fixed_point
+
+%% In []: from scipy.optimize import bisect
+
+%% In []: from scipy.optimize import newton
+%% \end{lstlisting}
+%% \end{small}
+%% \end{frame}
+
+\section{ODEs}
+
+\begin{frame}[fragile]
+\frametitle{Solving ODEs using SciPy}
+\begin{itemize}
+\item Consider the spread of an epidemic in a population
+\item $\frac{dy}{dt} = ky(L-y)$ gives the spread of the disease
+\item $L$ is the total population.
+\item Use $L = 2.5E5, k = 3E-5, y(0) = 250$
+\item Define a function as below
+\end{itemize}
+\begin{lstlisting}
+In []: from scipy.integrate import odeint
+In []: def epid(y, t):
+ .... k = 3.0e-5
+ .... L = 2.5e5
+ .... return k*y*(L-y)
+ ....
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Solving ODEs using SciPy \ldots}
+\begin{lstlisting}
+In []: t = linspace(0, 12, 61)
+
+In []: y = odeint(epid, 250, t)
+
+In []: plot(t, y)
+\end{lstlisting}
+%Insert Plot
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Result}
+\begin{center}
+\includegraphics[height=2in, interpolate=true]{data/image}
+\end{center}
+\end{frame}
+
+
+\begin{frame}[fragile]
+\frametitle{ODEs - Simple Pendulum}
+We shall use the simple ODE of a simple pendulum.
+\begin{equation*}
+\ddot{\theta} = -\frac{g}{L}sin(\theta)
+\end{equation*}
+\begin{itemize}
+\item This equation can be written as a system of two first order ODEs
+\end{itemize}
+\begin{align}
+\dot{\theta} &= \omega \\
+\dot{\omega} &= -\frac{g}{L}sin(\theta) \\
+ \text{At}\ t &= 0 : \nonumber \\
+ \theta = \theta_0(10^o)\quad & \&\quad \omega = 0\ (Initial\ values)\nonumber
+\end{align}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{ODEs - Simple Pendulum \ldots}
+\begin{itemize}
+\item Use \typ{odeint} to do the integration
+\end{itemize}
+\begin{lstlisting}
+In []: def pend_int(initial, t):
+ .... theta = initial[0]
+ .... omega = initial[1]
+ .... g = 9.81
+ .... L = 0.2
+ .... F=[omega, -(g/L)*sin(theta)]
+ .... return F
+ ....
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{ODEs - Simple Pendulum \ldots}
+\begin{itemize}
+\item \typ{t} is the time variable \\
+\item \typ{initial} has the initial values
+\end{itemize}
+\begin{lstlisting}
+In []: t = linspace(0, 20, 101)
+In []: initial = [10*2*pi/360, 0]
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{ODEs - Simple Pendulum \ldots}
+%%\begin{small}
+\typ{In []: from scipy.integrate import odeint}
+%%\end{small}
+\begin{lstlisting}
+In []: pend_sol = odeint(pend_int,
+ initial,t)
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Result}
+\begin{center}
+\includegraphics[height=2in, interpolate=true]{data/ode}
+\end{center}
+ \inctime{10}
+\end{frame}
+
+\section{FFTs}
+
+\begin{frame}[fragile]
+\frametitle{The FFT}
+\begin{itemize}
+ \item We have a simple signal $y(t)$
+ \item Find the FFT and plot it
+\end{itemize}
+\begin{lstlisting}
+In []: t = linspace(0, 2*pi, 500)
+In []: y = sin(4*pi*t)
+
+In []: f = fft(y)
+In []: freq = fftfreq(500, t[1] - t[0])
+
+In []: plot(freq[:250], abs(f)[:250])
+In []: grid()
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{FFTs cont\dots}
+\begin{lstlisting}
+In []: y1 = ifft(f) # inverse FFT
+In []: allclose(y, y1)
+Out[]: True
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{FFTs cont\dots}
+Let us add some noise to the signal
+\begin{lstlisting}
+In []: yr = y + random(size=500)*0.2
+In []: yn = y + normal(size=500)*0.2
+
+In []: plot(t, yr)
+In []: figure()
+In []: plot(freq[:250],
+ ...: abs(fft(yn))[:250])
+\end{lstlisting}
+\begin{itemize}
+ \item \typ{random}: produces uniform deviates in $[0, 1)$
+ \item \typ{normal}: draws random samples from a Gaussian
+ distribution
+ \item Useful to create a random matrix of any shape
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{FFTs cont\dots}
+Filter the noisy signal:
+\begin{lstlisting}
+In []: from scipy import signal
+In []: yc = signal.wiener(yn, 5)
+In []: clf()
+In []: plot(t, yc)
+In []: figure()
+In []: plot(freq[:250],
+ ...: abs(fft(yc))[:250])
+\end{lstlisting}
+Only scratched the surface here \dots
+ \inctime{10}
+\end{frame}
+
+\section{Basic Mayavi: \typ{mlab}}
+
+\begin{frame}[fragile]
+\frametitle{Basic 3D visualization}
+\begin{itemize}
+ \item Simple one liners for 3D visualization
+ \item Must import mlab.
+\end{itemize}
+\begin{lstlisting}
+In []: from mayavi import mlab
+\end{lstlisting}
+Ready to go!
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Simple examples}
+
+ \myemph{\Large Try these}
+
+ \begin{lstlisting}
+In []: mlab.test_<TAB>
+
+In []: mlab.test_points3d()
+In []: mlab.clf()
+In []: mlab.test_plot3d()
+In []: mlab.clf()
+In []: mlab.test_surf()
+In []: mlab.test_surf??
+ \end{lstlisting}
+Explore the UI.
+\end{frame}
+
+
+\begin{frame}[fragile]
+ \frametitle{\typ{mlab} plotting functions}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 0D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2in]{../MEDIA/m2/mlab/points3d_ex}
+ \end{columns}
+
+ \begin{lstlisting}
+In []: t = linspace(0, 2*pi, 50)
+In []: u = cos(t) * pi
+In []: x, y, z = sin(u), cos(u), sin(t)
+ \end{lstlisting}
+ \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}}
+\end{frame}
+
+\begin{frame}[plain, fragile]
+ \frametitle{Changing how things look}
+
+ \begin{block}{Clearing the view}
+ \PythonCode{>>> mlab.clf()}
+ \end{block}
+
+ \pause
+
+ \begin{block}{IPython is your friend!}
+ \PythonCode{>>> mlab.points3d?}
+
+ \begin{itemize}
+
+ \item Extra argument: Scalars
+
+ \item Keyword arguments
+
+ \item UI
+ \end{itemize}
+ \end{block}
+\pause
+ \begin{lstlisting}
+In []: mlab.points3d(x, y, z, t,
+ scale_mode='none')
+ \end{lstlisting}
+
+\end{frame}
+
+
+
+\begin{frame}[fragile]
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 1D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2.5in]{../MEDIA/m2/mlab/plot3d_ex}
+ \end{columns}
+ \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}}
+
+ Plots lines between the points
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 2D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2in]{../MEDIA/m2/mlab/surf_ex}
+ \end{columns}
+ \begin{lstlisting}
+In []: x, y = mgrid[-3:3:100j,-3:3:100j]
+In []: z = sin(x*x + y*y)
+ \end{lstlisting}
+
+ \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}}
+
+ \alert{Assumes the points are rectilinear}
+
+\end{frame}
+
+
+\begin{frame}[plain, fragile]
+
+ \myemph{\Large 3D data}
+ \vspace*{0.25in}
+
+ \pgfimage[width=1.5in]{../MEDIA/m2/mlab/contour3d}\\
+
+\begin{lstlisting}
+In []: x, y, z = ogrid[-5:5:64j,
+ ...: -5:5:64j,
+ ...: -5:5:64j]
+In []: mlab.contour3d(x*x*0.5 + y*y +
+ z*z*2)
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[plain]
+ {Other utility functions}
+ \begin{itemize}
+ \item \PythonCode{gcf}: get current figure
+ \pause
+ \item \PythonCode{savefig}, \PythonCode{figure}
+ \pause
+ \item \PythonCode{axes}, \PythonCode{outline}
+ \pause
+ \item \PythonCode{title}, \PythonCode{xlabel, ylabel, zlabel}
+ \pause
+ \item \PythonCode{colorbar}, \PythonCode{scalarbar},
+ \PythonCode{vectorbar}
+ \pause
+ \item \PythonCode{show}: Standalone mlab scripts
+ \pause
+ \item Others, see UG
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ {Exploring the documentation}
+ \begin{center}
+ \pgfimage[width=4in]{../MEDIA/m2/m2_ug_doc}
+ \end{center}
+ \inctime{20}
+\end{frame}
+
+
+
+\begin{frame}
+ \frametitle{Things we have learned}
+ \begin{itemize}
+ \item Solving Linear Equations
+ \item Defining Functions
+ \item Finding Roots
+ \item Solving ODEs
+ \item FFTs and basic signal processing
+ \item Basic 3D visualization with Mayavi
+ \end{itemize}
+\end{frame}
+
+
+\begin{frame}
+ \frametitle{Further reading}
+ \begin{itemize}
+ \item \url{ipython.github.com/ipython-doc}
+ \item \url{matplotlib.sf.net/contents.html}
+ \item \url{scipy.org/Tentative_NumPy_Tutorial}
+ \item \url{docs.scipy.org/doc/scipy/reference/tutorial}
+ \item \url{github.enthought.com/mayavi/mayavi}
+ \end{itemize}
+\end{frame}
+
+\end{document}
+
+%% Questions for Quiz %%
+%% ------------------ %%
+
+\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}
+