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MATH515 Geometry

10 cp
Prerequisites
Nil
Teaching Organisation Equivalent of 36 contact hours; 24 hours on-line and remaining contact hours of tutorial and workshop based sessions.

This unit has two distinct sections, which represent the two basic aspects of geometry: Euclidean Geometry and Analytical Geometry. We revise and explore the Euclidean approach to lines, polygons and circles; and also perform Euclidean constructions, giving a rationale for each one. Major theorems on concurrence and collinearity follow. In analytical geometry we study the link between the geometry and the algebraic representation of familiar curves, specifically the conic sections. This includes loci, derivations of equations, tangents and normals, and proving geometric properties using algebraic techniques. Students will be introduced to a computer software package such as Geometers Sketchpad.

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