2.Computer Arithmetic - Floating point numbers, range, precision, EPS
3.Linear Systems - Matrix formulation, sparse and stored matrices, Gaussian elimination, partial pivoting, iterative methods, Gauss-Seidel method, sparse matrix storage
4.Finite Differences Taylor Series, tables, effect of errors
5.Interpolation - Definition of the problem, difference formulae, Lagrange interpolation, cubic splines
6.Numerical Differentiation and Integration - Problems with differentiation, Trapezoidal and Simpson formulae, interval halving, h^2 extrapolation, Gaussian quadrature and related formulae
7.Root Finding - Bisection, secant, Newton methods and extensions
8.Linear Least Squares - Exploring data, normal equations, orthogonal transformations
9.Ordinary Differential Equations - Initial and boundary value problems,
Euler and Runge-Kutta methods, Multi-step methods