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Descriptions:

Geometry

Foundations of Euclidean plane geometry. Similarity of triangles. Circumferences and trigonometric functions. Notable points of the triangle. Coordinates the plan. Structure of vector. Conics. Geometric transformations.

Linear Algebra II

Symmetric and alternating multilinear functions. Determinant function. Inner products. Orthogonal subspaces. Additional orthogonal. Orthogonal projection. Euclidean analytic geometry. Hermitian form. Diagonalization of a symmetric matrix. Orthogonal arrays. Unitary matrices. The classical groups O (n), SO (n), U (n), SU (n) for n equal to 2 or 3. Classification of quadratic forms. Method of principal minors. Jordan canonical form for matrices of order 2 and 3