*The Stuff of Thought*, and he mentions the classic short film by Charles and Ray Eames,

*Powers of Ten*. here it is for your viewing pleasure

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#
Ask Dr. K

## Monday, September 17, 2007

## Tuesday, June 5, 2007

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class summaries, June 4 and 5

## Sunday, May 6, 2007

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hiatus

## Tuesday, April 17, 2007

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requiem, part 2

## Wednesday, April 4, 2007

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class summaries: April 4

## Tuesday, April 3, 2007

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class summaries: April 2

## Friday, March 30, 2007

## Wednesday, March 28, 2007

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class summaries: March 28

## Monday, March 26, 2007

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class summaries: March 26

## Friday, March 23, 2007

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class summaries: March 23

## Wednesday, March 21, 2007

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class summaries: March 21

## Monday, March 19, 2007

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class summaries: March 19

## Wednesday, March 7, 2007

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class summaries: March 7

## Monday, March 5, 2007

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class summaries: March 5

## About Me

## what's in heavy rotation on my iPod

## links

where calculators are for the weak

welcome to number theory! so far we've covered the integers, induction, fibonacci numbers, the division algorithm, and representations of integers in various bases.

no posts for a while. i'm enjoying May, catching up on some yard work, and trying to finish off that paper on multi-dimensional persistence. summer school starts June 5; see you then.

as a proud alumnus of Virginia Tech, i've spent the last two days in a state of utter dismay. my heart hurts. i'm horrified beyond belief. please say a little prayer for the victims and their families.

calc III: vector-valued functions and space curves.

topology: cellular homology.

topology: cellular homology.

calc III: quadric surfaces, cylindrical and spherical coordinates.

topology: adjunction spaces and cell complexes.

topology: adjunction spaces and cell complexes.

calc III: cross products. long live torque!

topology: the homology of a point, the 0-th homology group. algebra rules!

topology: the homology of a point, the 0-th homology group. algebra rules!

calc III: vectors and dot products.

topology: introduced singular homology.

topology: introduced singular homology.

calc III: 3-d coordinate systems; handed back tests.

topology: finished the proof of the Poincare-Hopf Theorem. next up: singular homology!

topology: finished the proof of the Poincare-Hopf Theorem. next up: singular homology!

calc III: test.

topology: more of the proof of the Poincare-Hopf theorem. will finish this next time.

topology: more of the proof of the Poincare-Hopf theorem. will finish this next time.

well, spring break is over and it's back to the grind.

Calc III: review for test #2. remember, it's on Wednesday, March 21.

Topology: trying to prove the Poincare-Hopf Theorem. lots of technicalities. nondegenerate zeros are better, so we'll try to reduce to that.

Calc III: review for test #2. remember, it's on Wednesday, March 21.

Topology: trying to prove the Poincare-Hopf Theorem. lots of technicalities. nondegenerate zeros are better, so we'll try to reduce to that.

calculus III: areas and lengths of polar curves. the cardioid has length 8(!).

topology: the index of a vector field on a manifold.

topology: the index of a vector field on a manifold.

calculus III: polar graphs, etc. almost done with chapter 11!

topology: tangent vector fields on manifolds; there's a nowhere-vanishing vector field on the*n*-sphere if and only if *n* is odd.

topology: tangent vector fields on manifolds; there's a nowhere-vanishing vector field on the

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