| 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 R3 |
lect22.pdf |
| October 17, 2013 |
Tutorial: Isometries on R3 |
Fenn Pg 154-157 |
| 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 |
RP3 | , Desargues' theorem revisited
|
| October 30, 2013 |
Some videos and tutorial |
|
| October 31, 2013 |
Tutorial: Computing perspectives |
|
| November 4, 2013 |
Cross ratio of collinear points on
RP2: 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 |
|