About
The Liminal Pre-University Euclidean Geometry Course is an intensive training programme designed for students who wish to move beyond routine school geometry and develop a deeper, more rigorous understanding of Euclidean space and geometric reasoning. The course serves as a bridge between computational school-level geometry and the deductive, proof-based approach required for mathematical Olympiads, competitive entrance examinations, and undergraduate study. The course follows a theory-first approach, developing Euclidean geometry from basic axioms, definitions, and constructions. Emphasis is placed on precise language, logical structure, and classical methods of proof, with particular attention to the role of constructions, congruence, similarity, and geometric transformations. Instruction is conducted in a live, discussion-based format that encourages students to articulate geometric ideas, justify each step of an argument, and engage critically with proofs. Topics such as triangles, circles, parallels, ratios, and area are treated in depth, with a focus on internal coherence rather than rapid syllabus coverage. Regular problem sets and detailed solution discussions are used to cultivate geometric intuition, proof-writing skills, and mathematical maturity. The course aims to create a serious academic environment in which students learn not only how to solve geometry problems, but how to reason rigorously within the Euclidean framework. Frequency: 2 live sessions per week Class Length: 1.5hrs to 2hrs each Mode: Online (Zoom/Google Meet or equivalent) Resources Provided: Digital lecture notes, worksheets, solutions, and additional problem sets