Good afternoon, I'm willing to study (teach myself) http://en.wikipedia.org/wiki/Numerical_analysis" [Broken], which I find very interesting, and which seems to be very useful for solving Physics problems (specifically, the motion of celestial bodies). I have a background in Calculus (basically Limits, Derivatives and Integrals), but all my knowledge is self-taught. My plan is to understand Numerical Analysis, specially Numerical Integration and Numerical Ordinary Differential Equations. My question is: what background in Mathematics should I have in order to start doing this? In what sequence does it normally appear in courses?