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Illinois Math and Science Academy

Series

Mathematics

Articles 1 - 17 of 17

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1. Monotonic Sequences, Ruth Dover Jan 2016

1. Monotonic Sequences, Ruth Dover

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Practice with monotonic sequences.

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Series 08, Ruth Dover Jan 2016

Series 08, Ruth Dover

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More on error.

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Series 07, Ruth Dover Jan 2016

Series 07, Ruth Dover

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Where did the Lagrange error bound come from?

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3. Upper Bounds, Ruth Dover Jan 2016

3. Upper Bounds, Ruth Dover

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Understanding upper bounds and a proof of the divergence of the harmonic series.

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Series 10, Ruth Dover Jan 2016

Series 10, Ruth Dover

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Extra stuff to show more ways to work with series.

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Series 06, Ruth Dover Jan 2016

Series 06, Ruth Dover

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More manipulation of series – substitution, differentiation, and integration.

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Alternating Series 1, Ruth Dover Jan 2016

Alternating Series 1, Ruth Dover

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Partial sums of alternating series.

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Series 09, Ruth Dover Jan 2016

Series 09, Ruth Dover

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Practice using series to evaluate limits and definite integrals.

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Series 02, Ruth Dover Jan 2016

Series 02, Ruth Dover

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Repeats Series01 with the function y = arctanx.

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2. Geometric Series, Ruth Dover Jan 2016

2. Geometric Series, Ruth Dover

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Quick review of geometric series.

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Series 04, Ruth Dover Jan 2016

Series 04, Ruth Dover

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A closer examination of y = cosx and y = sinx, including error estimation.

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Series 01, Ruth Dover Jan 2016

Series 01, Ruth Dover

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Asks students to create a polynomial function for y = ln(1 + x), extends the polynomial to a series, examines the interval of convergence and error.

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Series 03, Ruth Dover Jan 2016

Series 03, Ruth Dover

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Considers the creation of a general Maclaurin series.

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Series 05, Ruth Dover Jan 2016

Series 05, Ruth Dover

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Popular Maclaurin series and using substitution to create new series.

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Approximating Alternating Series, Ruth Dover Jan 2016

Approximating Alternating Series, Ruth Dover

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Error bounds with alternating series.

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4. Integral Test For Series, Ruth Dover Jan 2016

4. Integral Test For Series, Ruth Dover

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Relating Riemann sums and series – requiring a lot of teacher help!

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Taylor Review, Ruth Dover Jan 2016

Taylor Review, Ruth Dover

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Assorted problems.

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