Syllabus

Jan 12 – Course Introduction & Review (A1 assigned)
Jan 14 -Topological Structure and Meshes
Jan 19 – Differentiable Structure
Jan 21 – Curves and Surfaces (A1 due / A2 assigned)
Jan 26 – The Half Edge Data Structure
Jan 28 – Geometry for Fabrication & Simulation
Feb 02 – Curvature
Feb 04 – Exterior Algebra (A2 due / A3 assigned)
Feb 09 – Exterior Calculus
Feb 11 – Discrete Exterior Calculus
Feb 16 – The Laplace Operator
Feb 18 – Meshes, Matrices, and the Poisson Equation
Feb 23 – Hodge Decomposition (A3 due / A4 assigned)
Feb 25 – Connections and Parallel Transport
Mar 01 – Direction Field Design
Mar 03 – Geodesics and Distance Transforms
Mar 04(A4 due / A5 assigned)
Mar 08SPRING BREAK
Mar 10SPRING BREAK
Mar 14(Submit topic for final project)
Mar 15 – Complex Analysis and Conformal Structure (A5 due, A6 assigned)
Mar 17 – Conformal Parameterization
Mar 22 – Eigenvectors, Eigenvalues, and Optimization
Mar 24 – Spectral Analysis
Mar 29 – Covering Spaces (A6 due, final writeup assigned)
Mar 31 – Structured Meshing
Apr 05 – Special Topics (tentative): Power Diagrams
Apr 07 – Special Topics (tentative): Discrete Integrable Systems
Apr 12 – Special Topics (tentative): Origami and Folding
Apr 14NO CLASS
Apr 19 – Special Topics (tentative): Killing Vector Fields
Apr 21 – Special Topics (tentative): Optimal Transport (Writeup due, presentation/implementation assigned)
Apr 26 – Final project presentations
Apr 28 – Final project presentations
May 09(Final project due, share in final)