Math 348 - Topics in Geometry
May 2011
For more information and more pieces by the artist of this image visit Eric J. Heller's Gallery
May 2011
For more information and more pieces by the artist of this image visit Eric J. Heller's Gallery
- Course Outline
- Further Reading
- Assignments:
- Assignment 1 - Solutions
- Assignment 2 - Solutions
- Assignment 3 - Solutions
- Instructors Assignment
- If ever you are stuck on your assignment and don't know what to do, this link should help
- Midterm:
Sample midterm - Final Exam:
Sample Final - TA information: Joel Tousignant-Barnes. You can reach him electronically via barnes at math dot mcgill dot ca.
- Course Notes:
Week 1 - Euclidean Geometry
- Lecture 1 - Euclid's Elements
- Lecture 2 - Triangles and Cricles
- Lecture 3 - Triangle Centers
- Lecture 4 - Geometric Gems
Week 2 - Symmetry in Geometry
- Lecture 5 - Isometries
- Lecture 6 - Symmetry and Group Theory
- Lecture 7 - Symmetry in the Plane
- Lecture 8 - Crystals, Friezes and Wallpapers
Week 3 - Polyhedra, Graphs and Surfaces
- Lecture 9 - From Polyhedra to Graphs
- Lecture 10 - Platonic Solids and Beyond!
- Lecture 11 - Surfaces and Topology
- Lecture 12 - Classification of Surfaces
Week 4 - Tiling and Disection
- Lecture 13 - Tiling Rectangles
- Lecture 14 - Sissors Congruence
- Lecture 15 - Review and Questions
- Lecture 16 - Morse Theory
- Ruler and compass constructions - Here you will find an animated image of the construction of a hexagon, pentagon and square. You may have to watch this several times because its too quick!
- Pythagorean triples and rational points on a circle
- Ptolemy's Theorem - This result was used by our special guest Fermat in the construction of the Fermat point of a triangle.
- Hyperbolic geometry and Einstein's rotating disk thought experiment - This is a very easy to watch short lecture given by Dr. Richard Epp at the Permiter Institute in Waterloo, Ontario. This guy is awesome and is largely the reason I study geometry today. Check out more of Richard Epp here.
- Euclid (Joel Tousignant-Barnes)
- Pythagoras (Not present)
- Fermat (Juan Ignaciao Restrepo)
- Gauss (Maria Abi)
- Archimedes (Deceased)
- Galois (Luiz Takei)
- Cayley (Not present)
- Abel (Not present)
- Euler (Not present)
- Newton
- Poincare
- Noether
- Erdos
- Hilbert