Geometry

Geometry reveals the elegant relationships between shapes, spaces, and mathematical reasoning. This course explores the logical foundations of geometric thinking, from classical Euclidean principles to modern geometric insights. We'll journey through the world of proofs, constructions, and spatial reasoning, developing both computational skills and geometric intuition. Rather than memorizing formulas, we'll discover the underlying principles that make geometry a cornerstone of mathematical thought. Each lecture will blend visual exploration with rigorous reasoning, emphasizing the development of proof-writing skills and geometric insight. We'll solve problems collaboratively during the lectures, building a community of geometric thinkers.