MATH 222 & 262, this one’s for you…

Power Series got you down? Maclaurin series threatening you with a  zero? Worried Taylor series will leave you with a c? Today (Tuesday May 13th) during the second MATH 222 / 262 multivariable session from 1:15-4pm in room M3-37A on the third floor of McLennan Library, we’ll be telling the story of infinite series & you can be certain you won’t have any trouble remembering the ideas after this session! Here’s an excerpt from the notes:

“Holy smokes, Batman – we can add infinitely many numbers together and their sum may be a finite number!” said Robin. “That’s right my bird-burly buddy! Not only that, but in some special cases, the same series will converge for a range of different values of the constants involved, so we can think of the resulting object as an infinite polynomial” replied his caped companion. “That sure is our kind of series, Batman: a real power series! I still can’t believe that such a thing as an infinite polynomial function actually exists . . . it almost seems diabolical. Oh, why here comes Alfred – it looks like he’s got urgent news. What is it Alfred?” chirped the man-bird superhero, inquisitively. “Masters – there’s been a disconcerting development at city hall: when the press release was made that some infinite polynomials are functions, an astute journalist asked the Mayor’s office ‘which functions are involved? any function at all? only polynomials? what about transcendentals? should we be concerned?’ Panic ensued and I think you can expect a call on the bat phone, shortly.” panted the faithful servant.

However don’t be mislead by the above: we’ll be doing plenty of heavy lifting during the session, including a step-by-step overview of how to tackle each of the different types of series problems. Time permitting, we’ll look at estimating errors, review some of the vector content and introduce multiple integration so you can get a head-start on preparing for the final exam.

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