thermoplyae | excelblue: http://jjaro.net/uploads/textual/calc3/ -- Here's all the lecture notes and homework from my Calc 3 class, plus a copy of Bachman's Differential Forms, which we were given a preprint copy of for free |

excelblue | cool |

thermoplyae | We didn't use a book, so there's nothing missing |

excelblue | ah this should be fairly easy for me to understand, right? |

thermoplyae | Absolutely Plus the professor had really nice handwriting |

whaleofconfusion | ah so John2 you want to find basis vectors for the row space of the matrix |

Squall` | Ugh, this is probably just me being stupid again, but I can't even think how I'm supposed to write |a(n+1) / a(n)| for the recursive sequence a(1) = 1 and a(n+1) = sin n / n * a(n). I don't think I could use an arbitrary value of n like | a(2) / a(1) | could I? That seems to be like the only way I could possibly do it, but it doesn't feel right. |

Teny | If I factor 4t^2-28t+40 to 4(t^2-7t+10) What would I do from there? |

john2 | whaleofconfusion: I'm not really sure... The teacher never mentioned Vectors (He usually shows us examples of what to do, but he forgot his marker on that day, so he tried explaining what to do...) |

SeveredHead | Teny--(t-5)(t-2) |

neomagus00 | Squall`: You have an expression for a(n+1), why not just insert that into |a(n+1)/a(n)| |

thermoplyae | Squall`: Maybe start by writing a closed form for the sequence |

Squall` | ok |

whaleofconfusion | Squall`: it's obvious |

thermoplyae | Or maybe just divide |

whaleofconfusion | what is sin n / n * a(n) / a(n)? |

thermoplyae | Because it is pretty obvious |

Teny | no no what do I do with the 4? do I put 2 in front of both brackets. |

SeveredHead | Teny: Uh, nothing? |

Teny | or leave 4 in front of (t-5) |

Squall` | oh lol |

SeveredHead | Putting 2 in front of both brackets is the same thing. ;) |

Squall` | god, wtf is wrong with me today |

SeveredHead | Remember, multiplication is distributive. |

Teny | Me too Squal. d: < |

Squall` | I feel so dumb :X |

excelblue | thermoplyae: hmm... those notes on the website? you scanned your notes? |

SeveredHead | So 2 * (t-5) * 2 * (t-2) = 4*(t-5)*(t-2) :) |

excelblue | wonder where you get your nice paper? |

thermoplyae | excelblue: These are my professor's notes, and he owns a tablet PC that he totes everywhere |

excelblue | ah some excellent notes there hehe |