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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 -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 1. An overview of results from real analysis Appendix 2. WWW-resources.