1. Linear algebra -- pt. I. Mathematical stability and ill conditioning -- 2. systems of linear algebraic equations -- 3. Eigenvalues and eigenvectors -- 4. Differential and difference equations -- pt. II. Discretization error -- 5. Discretization error for initial value problems -- 6. Discretization error for boundary value problems -- pt. III. Convergence of iterative methods -- 7. Systems of linear equations -- 8. Systems of nonlinear equations -- pt. IV. Rounding error -- 9. Rounding error for Gaussian elimination.
