Date 
Topic 
Link 
August 1, 2013 
Introduction 
lect01.pdf 
August 5, 2013 
Euclidean Geometry: Some problems with the axioms 
lect02.pdf 
August 6, 2013 
Hilbert's axioms 
lect03.pdf 
August 8, 2013 
Tutorial 
lect04.pdf 
August 12, 2013 
Hilbert's axioms continued 
lect05.pdf 
August 13, 2013 
Conics 
lect06.pdf 
August 19, 2013 
Affine transformations  I 
The first four pages of this link. 
August 20, 2013 
Affine transformations  II 
August 22, 2013 
Tutorial : Discussion on computing transformations 
lect10.pdf 
August 26, 2013 
Circular Inversion  I 
lect11.pdf 
August 27, 2013 
Circular Inversion  II 
August 29, 2013 
Quiz 1 
quiz01.pdf 
September 2, 2013 
Stereographic Projection: conformality 
lect12.pdf 
September 3, 2013 
Circular Inversion is conformal; Cross ratio 
lect13.pdf 
September 5, 2013 
Tutorial : some computations 

September 10, 2013 
Introduction to hyperbolic geometry 
lect15.pdf 
September 12, 2013 
Quiz 2 
quiz02.pdf 
September 16, 2013 
Some facts about limiting parallels. 
lect16.pdf 
September 17, 2013 
Angle of parallelism: sum of angles of a hyperbolic triangle 
lect17.pdf 
September 19, 2013 
Tutorial 
lect18.pdf 
September 26, 2013 
Mid sem 
Mid Sem Solutions 
September 30, 2013 
Poincar\'e disk is an Hilbert Plane 
lect19.pdf 
October 1, 2013 
M\"obius transformations; Upper Half Plane 
lect20.pdf 
October 2, 2013 
Review of solid geometry 
lect21.pdf 
October 3, 2013 
Tutorial: Did some examples of computations in R^{3} 
lect22.pdf 
October 17, 2013 
Tutorial: Isometries on R^{3} 
Fenn Pg 154157 
October 21, 2013 
Spherical triangles and quaternions 
Fenn sections 8.2, 9.1  9.4 
October 22, 2013 
Quaternions, rotations, stereographic projections 
Fenn sections 9.5, 5.9 (stereographc projection) 
October 23, 2013 
Real Projective plane, homogenisation, Incidence and duality,
Axioms 
Fenn Sections 6.1  6.3 
October 24, 2013 
Tutorial : Some problems 

October 28, 2013 
Desargues' theorem 

October 29, 2013 
RP^{3}  
October 30, 2013 
Some videos and tutorial 

October 31, 2013 
Tutorial: Computing perspectives 

November 4, 2013 
Cross ratio of collinear points on
RP^{2}: Motivation and definition. 

November 5, 2013 
Quiz 3 
quiz03.pdf 
November 7, 2013 
Cross ratio of a pencil of lines, projectivity and perspectivity 

November 11, 2013 
Projectivity as composition of perspectivity; statement of Pappus'
thm 

November 12, 2013 
Proof of Pappus' theorem. Projective transformations 

November 18, 2013 
Quiz  4 
quiz04.pdf 
November 19, 2013 
Projective transformations and conics 
Notes 
November 21, 2013 
Tutorial 

November 28, 2013 
End Sem 
