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- Integral theorems of vector calculus (14:18, 28 December 2012)
- Integration of differential forms of degree 0 and 1 (17:44, 31 December 2012)
- PageRank as a flow (14:58, 5 January 2013)
- Continuity of functions of several variables (16:33, 16 January 2013)
- Is projection a quotient function? (20:15, 18 January 2013)
- Tangent bundle (02:33, 22 January 2013)
- Matrices: part 2 (19:46, 27 January 2013)
- Linear operators: part 1 (19:58, 27 January 2013)
- Orientation of manifolds (16:30, 28 January 2013)
- Lengths of curves (20:21, 7 February 2013)
- Approximating paths (20:58, 7 February 2013)
- Clairaut's theorem (16:40, 8 February 2013)
- Calculus and algebra vs topology (21:26, 8 February 2013)
- Vector calculus: course (16:00, 9 February 2013)
- Calculus of differential forms: course (20:25, 10 February 2013)
- Poincare duality (01:32, 11 February 2013)
- Linear functions in Euclidean space (04:43, 15 February 2013)
- Fubini's theorem (13:21, 15 February 2013)
- Diagonal map (14:07, 16 February 2013)
- Orientable surface (14:47, 17 February 2013)
- Fundamental class (15:23, 17 February 2013)
- Tunnels (14:47, 18 February 2013)
- Relation (14:55, 19 February 2013)
- Bijection (20:41, 19 February 2013)
- Algorithm for binary images (21:19, 22 February 2013)
- Bad math (10:35, 26 February 2013)
- Purchase Pixcavator (15:13, 1 March 2013)
- Calculus by Rogawski (16:38, 1 March 2013)
- Pixcavator DLL (17:35, 1 March 2013)
- Skew-commutativity (16:09, 3 March 2013)
- Cube (13:59, 7 March 2013)
- Constant homotopy between constant maps (14:51, 11 March 2013)
- Adjoint (04:12, 13 March 2013)
- Hodge decomposition (20:52, 13 March 2013)
- Closed and exact forms (20:53, 13 March 2013)
- Integration of differential forms of degree 2 (20:53, 13 March 2013)
- Change of variables for differential forms (20:54, 13 March 2013)
- Differential forms and cohomology: course (20:54, 13 March 2013)
- De Rham cohomology (20:55, 13 March 2013)
- Cup product (20:57, 13 March 2013)
- Whitney map (20:58, 13 March 2013)
- Advanced Topology: midterm (16:11, 14 March 2013)
- Linear algebra: midterm (20:45, 14 March 2013)
- Restriction (16:42, 17 March 2013)
- Extension (16:45, 17 March 2013)
- Tangent cone (02:14, 26 March 2013)
- Calculus on chains (14:03, 30 March 2013)
- Curvature (15:43, 31 March 2013)
- Math is an art (19:48, 3 April 2013)
- Discrete exterior calculus (00:54, 5 April 2013)