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Check out the MathSource home pages! An archive site for many Mathematica notebooks and packages.

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Lecture Notes by Dr. L. T. Watson, from a previous Numerical Methods class :

WHY IS NUMERICAL ANALYSIS NECESSARY?: Text, Postscript
FLOATING POINT ARITHMETIC: Text, Postscript
LINEAR ALGEBRA: Text, Postscript
NORMS AND INNER PRODUCTS: Text, Postscript
LINEAR SYSTEMS/MATRIX DECOMPOSITION THEOREMS: Text, Postscript
POLYNOMIAL INTERPOLATION: Text, Postscript
CUBIC SPLINES (an elementary approach): Text, Postscript
B-SPLINES (Carl deBoor): Text, Postscript
PIECEWISE HERMIT CUBICS: Text, Postscript
FIXED POINTS and ZEROS of NONLINEAR FUNCTIONS: Text, Postscript
ORTHOGONAL POLYNOMIALS: Text, Postscript
NUMERICAL INTEGRATION (QUADRATURE): Text, Postscript
LEAST SQUARES APPROXIMATION: Text, Postscript
NUMERICAL DIFFERENTIATION: Text, Postscript
ORDINARY DIFFERENTIAL EQUATIONS: Text, Postscript