Linear Algebra. 1: Vectors, matrices and linear systems of equations 2: The vector space R^n 3: Linear maps. 4: Diagonalization
Geometry. 5: Affine space. Affine transformations. 6: Isometries: the classification of orthogonal transformations and isometries. 7: Conics and quadrics: Quadratic forms. Equations and classification of conics and quadrics.