WEEK 1: Perspective Drawing from First Principles
Lecture 1: Why do families of parallel lines appear to converge in our vision?
Lecture 2: Can we determine the position of the observer in a perspective drawing?
WEEK 2: An Invitation to Projective Geometry
Lecture 3: A geometry without parallel lines?
Lecture 4: Does projective geometry tell us anything about nonlinear curves?
WEEK 3: The Cross Ratio: A Projective Invariant
Lecture 5: What is preserved under perspective transformations?
Lecture 6: What can the cross ratio tell us?
WEEK 4: Automorphisms of the Projective Plane
Lecture 7: Homogeneous coordinates and the topology of the real projective plane
Lecture 8: Automorphisms of the real projective plane