(Breadth of graphics, simple drawing of lines)

(Drawing a triangle via point sampling, point-in-triangle testing, aliasing, Fourier interpretation of aliasing, anti-aliasing)

(Definition of linear transform, basic geometric transforms, homogeneous coordinates, transform hierarchies, perspective projection)

(perspective projection, texture coordinate space, bilinear/trilinear interpolation, how aliasing arises during texture sampling, prefiltering as an anti-aliasing technique)

(Z-buffer algorithm, image compositing, end-to-end 3D graphics pipeline as implemented by modern GPUs)

(Properties of surfaces (manifold, normal, curvature), implicit vs. explicit representations, basic representations such as triangle meshes, bezier curves and patches)

(Half-edge mesh structures, mesh operations such as tessellation and simplification)

(closest point, ray-triangle intersection, ray-mesh intersection, the relationship between rasterization and ray tracing)