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Here is a list of ideas for tutorials:
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read in a list of x,y points (also ra, decs) and plot. with uncertainties.
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whole post dedicated to sexigesimal-decimal conversions. calculating offsets.
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read in, manipulate, plot spectrum from an IRAF FITS file. Measure EW, divide by another spectrum. address common MEF issues. write out in various formats (IRAF, two column). output plot as PDF.
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display an image from an IRAF FITS file. oplot point sources. address common MEF issues. write out in various formats. see the "X marks the spot" thread on the astropy list, started by Demitri. ginga vs APLpy. Eric Jescheke even made a demo: http://mail.scipy.org/pipermail/astropy/2013-September/002737.html
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read in something, converting from mags to fluxes, make make SED plot
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indexing: how to do things that we would otherwise do with a IDL's where function
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how to do the same thing to everything in an array at once (like we are used to doing in IDL).
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fit a straight line/polynomial/power law/gaussian to a 2D scatter plot. EG: Markwardt fitting
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Chi^2 minimization.
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interpolation and rebinning. (e.g., increasing sampling of lower-resolution spectrum.)
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applying a gaussian filter to spectrum or point source. (e.g. lowering resolution of high-res spectrum.)
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Big data handling - I have a data file that i want to manipulate that is a few gigabytes...reading it in, not screwing up memory, doing operations, writing it back out again.
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Read a FITS file, edit header and write it back out
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Convert galactic to equatorial coordinates (short)