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- Chain complexes of cell complexes (14:05, 4 August 2013)
- Eilenberg–Steenrod axioms of homology (14:08, 4 August 2013)
- Axioms of chain complexes (14:13, 4 August 2013)
- Axioms of calculus (14:17, 4 August 2013)
- College Algebra by Sullivan (16:29, 8 August 2013)
- Cochain complex as the dual (13:27, 10 August 2013)
- Algebra and analytic geometry: course (02:24, 22 August 2013)
- Change of variables in vector spaces (02:25, 22 August 2013)
- Cochain complex (02:25, 22 August 2013)
- Exercise (12:26, 22 August 2013)
- Current students' projects (14:04, 25 August 2013)
- Multivectors (17:19, 25 August 2013)
- Multilinear forms (13:32, 26 August 2013)
- Advanced Linear Algebra -- Fall 2013 (20:07, 28 August 2013)
- Mimetic Discretization Methods by Castillo (12:43, 30 August 2013)
- Darcy's flow (12:45, 30 August 2013)
- Inclusion-exclusion formula (16:53, 6 September 2013)
- Graduate program (17:51, 6 September 2013)
- Alexander duality (14:59, 9 September 2013)
- Calculus 3: course (16:24, 9 September 2013)
- Calculus 2: course (16:25, 9 September 2013)
- The topology of a gray scale image (12:31, 11 September 2013)
- Vector and covector fields (16:40, 18 September 2013)
- Group theory: course (15:17, 19 September 2013)
- Weather (15:47, 21 September 2013)
- Continuity of functions (00:26, 25 September 2013)
- Calculus 1: course (00:27, 25 September 2013)
- Introduction to abstract mathematics: course (16:06, 25 September 2013)
- Is slope the area under the graph? (13:06, 30 September 2013)
- Riemann integral (16:47, 30 September 2013)
- Point-set topology: exercises (16:40, 4 October 2013)
- Why "preimage" in the definition of continuity? (18:35, 7 October 2013)
- Linear operators: part 3 (14:25, 16 October 2013)
- Topology I -- Fall 2013 -- midterm (17:53, 21 October 2013)
- Triangulation (19:26, 11 November 2013)
- Topology I -- Fall 2013 -- final exam (16:34, 10 December 2013)
- Topology I -- Fall 2013 (19:04, 10 December 2013)
- College Algebra -- Fall 2013 (04:19, 13 December 2013)
- Continuity as accuracy (04:30, 18 December 2013)
- Simply connected spaces (22:07, 3 January 2014)
- Short overview (15:27, 7 January 2014)
- Computing homology (21:55, 10 January 2014)
- Surfaces and their homology (00:47, 12 January 2014)
- More about manifolds (19:58, 21 January 2014)
- Calculus 3: test 1 (15:21, 9 March 2014)
- Calculus 3: test 2 (15:21, 9 March 2014)
- Calculus 3: final (15:22, 9 March 2014)
- Calculus III -- Spring 2014 -- midterm (00:54, 11 March 2014)
- Algebraic topology: course (13:32, 17 March 2014)
- Topology 1: course (13:33, 17 March 2014)