Lecture Notes

Lecture 01 - Review

Lecture 02 - Lines

Lecture 03 - Orthonormal Pairs

Lecture 04 - Equation of a Line

Lecture 05 - Perpendicular Lines

Lecture 06 - Parallel and Intersecting Lines

Lecture 07 - Reflections

Lecture 08 - Congruence and Isometries

Lecture 09 - Symmetry Groups

Lecture 10 - Translations, Rotations, Glide Reflections

Lecture 11 - Structure of the Isometry Group

Lecture 12 - Fixed Points and Fixed Lines of Isometries

Lecture 13 - Affine Transformations

Lecture 14 - Fixed Lines

Lecture 15 - The 2D Affine Group

Lecture 16 - The Fundamental Theorem of Affine Geometry

Lecture 17 - Affine Reflections

Lecture 18 - Shears

Lecture 19 - Dilations

Lecture 20 - Similarities

Lecture 21 - Affine Symmetries

Lecture 22 - Introduction to Finite Geometries

Lecture 23 - Finite Geometries of Fano and Young

Lecture 24 - Finite Geometries of Pappus and Desargues

Lecture 25 - Finite Geometries as Linear Spaces

Lecture 26 - Finite Projective Planes and Projective Spaces

Lecture 27 - Euclid's Fifth Postulate

Lecture 28 - Introduction to Hyperbolic Geometry

Lecture 29 - Introduction to Elliptic Geometry

Lecture 30 - Quadrilaterals and Triangles