Course Archives Theoretical Statistics and Mathematics Unit
Course:
Geometry
Level:
Undergraduate
Time:
Currently not offered
Syllabus
Past Exams
Syllabus:
AFFINE GEOMETRY: Affine spaces, mappings. Thales theorem, Pappus the orem, Desargues theorem. Convexity.
EUCLIDEAN GEOMETRY: Euclidean vector spaces, Euclidean affine spaces. Linear isometries and rigid motions. Spheres, Spherical triangles, Polyhedra and Eulers formula.
PROJECTIVE GEOMETRY: Projective spaces, Pappus and Desargues theorem. Projective duality, Projective transformations. Cross Ratio. Complex projective line and circular group
Reference Texts:
(a) M. Audin: Geometry
(b) R. Fenn: Geometry
(c) P. M. H. Wilson: Curved Spaces: From Classical Geometries to Elementary Differential Geometry
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Past Exams
Midterm
24.pdf
Semestral
24.pdf
Supplementary and Back Paper
24.pdf
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