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- Topology II -- Spring 2012 (23:05, 30 April 2012)
- Topology II -- final exam (15:29, 2 May 2012)
- Internal structure of a vector space: part 1 (17:13, 22 May 2012)
- Computational science training: 2011 projects (00:56, 1 June 2012)
- Dot product (15:09, 9 June 2012)
- Primal and dual complexes (21:50, 13 June 2012)
- Transpose (15:26, 28 June 2012)
- Mesh (21:42, 28 June 2012)
- Conservation of electric charge (20:47, 12 July 2012)
- Faraday's Law (13:26, 13 July 2012)
- Wave equation from Maxwell equations (14:51, 13 July 2012)
- Christopher Means (23:41, 15 July 2012)
- Material derivative (21:31, 17 July 2012)
- Principal Component Analysis (00:38, 21 July 2012)
- Pi (17:47, 21 July 2012)
- Modeling with discrete exterior calculus (17:57, 21 July 2012)
- Finite differences (01:15, 22 July 2012)
- Gaussian curvature (14:26, 22 July 2012)
- Norm (14:22, 26 July 2012)
- Manhattan metric (14:23, 26 July 2012)
- 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)