1. Solution of equations by iteration -- 2. Solution of systems of linear equations -- 3. Special matrices -- 4. Simultaneous nonlinear equations -- 5. Eigenvalues and eigenvectors of a symmetric matrix -- 6. Polynomial interpolation -- 7. Numerical integration I -- 8. Polynomial approximation in the [infinity]-norm -- 9. Approximation in the 2-norm -- 10. Numerical integration II -- 11. Piecewise polynomial approximation -- 12. Initial value problems for ODEs -- 13. Boundary value problems for ODEs -- 14. The finite element method -- Appendix A. An overview of results from real analysis -- Appendix B. WWW resources.