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- Recurrence relations (12:14, 28 July 2012)
- Barycentric subdivision (22:45, 28 July 2012)
- Image (16:55, 29 July 2012)
- Linear operator (14:25, 30 July 2012)
- Linearity (14:26, 30 July 2012)
- Jack Goodman (19:14, 8 August 2012)
- Zachary Ahlers (15:20, 10 August 2012)
- Stability Analysis (03:51, 11 August 2012)
- Exact forms are orthogonal to co-closed forms (13:22, 24 August 2012)
- Revolver upside down (19:38, 25 August 2012)
- Navier–Stokes equations (03:32, 30 August 2012)
- Price dynamics (14:23, 19 September 2012)
- Applied Differential Geometry by Burke (13:39, 5 October 2012)
- From Calculus to Cohomology by Madsen (13:51, 5 October 2012)
- Differential forms: review questions (22:37, 6 October 2012)
- Differential forms: exams (22:38, 6 October 2012)
- Dimension (00:44, 7 October 2012)
- Derivative as a function (14:05, 7 October 2012)
- Where do differential forms come from? (14:10, 7 October 2012)
- Algebraic operations with forms and cohomology (15:11, 9 October 2012)
- Calculus I -- Fall 2012 -- midterm (18:39, 11 October 2012)
- Calculus II -- Fall 2012 -- midterm (17:15, 12 October 2012)
- Additivity of integral (15:10, 13 October 2012)
- Orientation of integral (15:11, 13 October 2012)
- Path (02:07, 14 October 2012)
- Sign function (14:46, 14 October 2012)
- Addition is continuous (13:32, 15 October 2012)
- Rotation (23:02, 16 October 2012)
- Rot (13:18, 17 October 2012)
- Curl (15:07, 17 October 2012)
- 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)