This module will provide students with an understanding of the revision of theories and concept of sets and the relation theory, the properties of binary operations defined on sets. We will recall the concepts of cross and box product in 3 D-space. It will introduce students to a Polynomial ring and field of complex numbers, Scalar, and inner product spaces, Quadratic forms and multi-linear forms, affine spaces, Plane analytic geometry and a Solid analytic geometry.