Numerical Methods
Computing answers when formulas run out.
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Floating Point and Error Analysis
Representation, rounding, conditioning and stability.
Root Finding
Bisection, Newton's and secant methods, and convergence rates.
Interpolation and Approximation
Polynomial and spline interpolation, and least-squares fitting.
Numerical Integration and ODEs
Quadrature rules, Euler and Runge-Kutta methods.