STATISTICS
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Probability: frequentist and Bayesian approaches

Classic frequentist tests

Bayesian slam-dunks (e.g. Occam's razor)

Binomial, Poisson, Gaussian distributions

Monte-Carlo basics

Least squares and fitting data

Entropy and information


COMPUTING
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How to write a C program

User interface:
  information encapsulation and function arguments
  GUIs

I/O:
  boiler plate
  FITS format
  Displaying data

Fitting:
  orthogonal functions
  interpolation and extrapolation
  splines
  function minimization

Linear algebra:
  matrix inversion
  solving equations

Searching and sorting:
  sort routines
  medians

Differential equations:
  ODE, PDE (Laplace)

Integration:
  1-D, n-D

Fourier analysis:

Random numbers and Monte Carlo simulations:


POSSIBLE TEXTS
--------------

Principles of Data Analysis   cheap to free
by Prasenjit Saha

  subtle but clear

Statistics: A Bayesian Perspective  $98.95
by Donald A. Berry 

  elemenary, very clear

Bayesian Data Analysis   $60.00
by Andrew Gelman, John B. Carlin, Hal S. Stern, Donald B. Rubin

  amazon popular, good book

Bayesian Theory (Wiley Series in Probability and Statistics)  $78.50	
by Jose M. Bernardo, Adrian F. M. Smith

  "new bible" to be followed by Bayesian Computation and Bayesian Methods

Numerical Recipes
by Press Flannery Teukolsky Vetterling

  pretty good applied math