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days until the end of spring semester.days until Snakes on a Plane.
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Math article project
Finished mathematical core of article. Next: Write analytical core of article.
Dummit and Foote, Abstract Algebra
Finished section 1.6 (86 to go)
Silverman and Tate, Rational Points on Elliptic Curves
FInished 2.5 (31 to go)
Conway, Functions of One Complex Variable I
Finished section 7.5 (27 to go)
Munkres, Topology
Finished section 21 (60 to go)
Royden, Real Analysis
Finished section 2.4 (97 to go)
Nonfiction book project
Todo list uptodate
Fiction book project
1443 out of 100,000 projected words written.
Top 100 novels of all time
Reading Ulysses
IMDB top 250 films
Tengoku to jigoku next in queue.
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Vito Prosciutto: Teaching community college math on the road to a PhD.
Tuesday, October 07, 2003
21:02A case of misusing calculators in the classroom
And to which, I say, wrong. This isn't a good use of calculators. Instead, we should use substitution to get from phi=1+1/phi to phi=1+1/(1+1/phi) (and of course extending into infinity).
Especially, since we then went into the series of continued fractions:
1+1/(1+1/1)=3/2
1+(1+1/(1+1/1))=5/3
1+(1+(1+1/(1+1/1)))=8/5
etc.
Anyway, this sequence will eventually converge on phi, and the limit proof is easier to get to if you use substitution (as is the proof that each successive continued fraction simplifies to a ratio of adjacent Fibonacci numbers).