- Matlab programming.
- Solving systems of linear equations.
- LU factorization, pivoting.
- Permutation matrices and permutation vectors.
- Error and residual in linear systems
- Matrix condition number.
- Sparse matrices and graphs.
- The PageRank algorithm.
- Floating-point arithmetic.
- Least squares and curve fitting.
- Orthogonal matrices and QR factorization.
- Standard form of ODEs.
- Lotka-Volterra equations.
- Forward Euler and BS23 algorithms for ODEs.
- Stiff ODE problems and backward Euler.