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- Cross and dot products of vector fields under fundamental correspondence (21:58, 17 October 2012)
- Slope (13:41, 19 October 2012)
- Tangent plane (14:09, 20 October 2012)
- Orientation (03:35, 21 October 2012)
- Introductory algebraic topology: review exercises (20:10, 23 October 2012)
- Math online (17:44, 24 October 2012)
- Properties of integrals of differential forms (20:33, 24 October 2012)
- Green's Theorem (08:37, 26 October 2012)
- Gauss' Theorem (08:39, 26 October 2012)
- Introduction to Topology: Pure and Applied by Adams and Franzosa (13:36, 26 October 2012)
- The topology of a binary image (15:00, 27 October 2012)
- The geometry a gray scale image (03:29, 29 October 2012)
- Persistence complex (15:02, 29 October 2012)
- Computing persistent homology of filtrations (03:40, 30 October 2012)
- Graph representation of topology of color images (19:56, 30 October 2012)
- The topology of a color image (23:34, 30 October 2012)
- Multiparameter filtrations (23:36, 30 October 2012)
- Quotient sets (19:36, 31 October 2012)
- Persistent Betti numbers (01:20, 1 November 2012)
- Logic (13:46, 1 November 2012)
- Preimage (14:04, 1 November 2012)
- When is a cubical complex a surface? (01:22, 3 November 2012)
- Tangent bundles and differential forms (15:53, 5 November 2012)
- Computational Topology by Edelsbrunner and Harer (20:23, 5 November 2012)
- Duality (20:27, 5 November 2012)
- Cycles in images (03:57, 6 November 2012)
- Persistence (04:06, 6 November 2012)
- Robustness of topology of digital images and point clouds by Saveliev (04:08, 6 November 2012)
- Cycle (04:12, 6 November 2012)
- Persistent homology (04:14, 6 November 2012)
- Conservative vector field (14:12, 6 November 2012)
- Exact sequences (04:12, 7 November 2012)
- Euler (02:06, 8 November 2012)
- Relative homology (14:57, 8 November 2012)
- Projection map (15:35, 9 November 2012)
- General Stokes Theorem (18:26, 9 November 2012)
- Klein bottle (04:14, 10 November 2012)
- Isomorphism (15:17, 11 November 2012)
- Parametric curves (15:12, 13 November 2012)
- Velocity (15:17, 13 November 2012)
- Rotation group (16:45, 14 November 2012)
- Ordinary differential equation (18:41, 23 November 2012)
- Simple curve (19:01, 23 November 2012)
- A New Kind of Science by Wolfram (23:49, 23 November 2012)
- PageRank's dependence on the damping factor (14:29, 26 November 2012)
- PageRank as a probability distribution (15:10, 26 November 2012)
- Discrete Calculus: Applied Analysis on Graphs for Computational Science by Grady and Polimeni (16:03, 26 November 2012)
- PageRank as a solution of a matrix equation (18:36, 28 November 2012)
- Polyhedron (21:57, 30 November 2012)
- Topological equivalence (23:24, 30 November 2012)