The first objective is to introduce the fundamental concepts of geometry. This includes studying the undefined terms (point, line, plane, etc.) and their use in making fundamental asumptions (axioms) that will form the basis of investigation into geometry. Then, finite geometries, Euclidean, hyperbolic, and projective geometries will be studied. The most of the time is devoted to studying Euclidean plane geometry and its ramifications.

The second objective is to reinforce the axiomatic nature of mathematics. This involves understanding the importance of establishing fundamental definitions and axioms before any substantive mathematical investigation begins.

The third objective is to develop an understanding of how geometry relates to the rest of mathematics.