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Category Archives: Algebra
Magic formula
Was grading some student work and noticed that when they are supposed to solve for [tex] \left(\frac{5y}{4}-\frac{1}{2}\right)^2 +\frac{1}{16} = 1[/tex], 10 out of 16 students expanded the above into a quadratic equation and then used the quadratic formula to get … Continue reading
Posted in Algebra, Teaching
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Simple algebra*
In the midst of grading exams now. One problem consists of computing determinants and many students give the answer [tex] (1+a)^3 -3a -1 [/tex] without simplifying it to [tex] a^3+3a^2 [/tex]. I have this nagging suspicion that they are not … Continue reading
Posted in Algebra, Linear Algebra, Teaching
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Prisoner of Benda
is an episode of Futurama where an actual theorem on permutations appear. Although I adore the Simpsons, I’m not much of a Futurama fan. This link explains the theorem and contains the screencap.
Posted in Algebra, Fun Stuff
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