- Finite precision arithmetic, error analysis, conditioning and stability
- Linear systems of equations: LU and Cholesky factorization, condition
- Interpolation: polynomial, spline and trigonometric interpolation
- Nonlinear equations: fixed point iteration, root finding algorithms, Newton's method
- Linear and nonlinear least squares problems: normal equations, Gram Schmidt and Householder orthogonalization, singular value decomposition, regularizatio, Gauss-Newton and Levenberg-Marquardt methods
- Eigenvalue problems: power iteration, inverse iteration, QR algorithm
- Numerical differentiation
- Numerical integration: Newton-Cotes rules, error estimates, Gauss quadrature, adaptive quadrature
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