1. Vectors2. Vector Spaces3. Matrices4. Linear Mappings5. Linear Maps and Matrices6. Scalar Products and Orthogonality7. Determinants8. Bilinear Forms and the Standard Operators9. Polynomials and Matrices10. Triangulation of Matrices and Linear Maps11. Spectral Theorem12. Polynomials and Primary Decomposition13. Multilinear Products14. Groups15. RingsAppendix 1. Convex SetsAppendix 2. Odds and EndsAppendix 3. Angles