# Book 2 Resources

In the navigation panel you can download a zip file containing all the Book 2 resources, or you can click on the links below to download them individually. (On some browsers you may need to right-click and choose 'save link as ...' ).

• Integration and differentiation in Maple. This Maple worksheet introduces the basic Maple commands for differentiating and integrating.

• The Newton-Raphson method. This Excel spreadsheet shows how to use the Newton-Raphson method to calculate square roots. Relates to Section 3.6 of the book.

• • The rectangular rule, trapezoidal rule, and Simpson’s rule. This Excel spreadsheet compares numerical integration using these three methods. Programmers: See how these rules are implemented with Visual Basic functions. Relates to the computer code given in Section 6.5 of the book.

• • Taylor series. This Excel spreadsheet shows how the Maclaurin series for ex is accurate only for small x. It also shows how the Maclaurin series for ln(x) can be modified to make it accurate to 6 sig. figs for any x. Relates to Example 9.19 of the book.

• • Filtering by an RLC circuit. This Excel spreadsheet uses complex arithmetic to construct the gain and phase shift graphs that describe filtering by an RLC circuit. Relates to Section 10.6 of the text.

• • Fourier series of a sawtooth waveform. This Maple worksheet shows how to use Maple to calculate Fourier coefficients analytically. It shows how to correctly apply symmetry arguments to find the coefficients for the sawtooth waveform. Relates to Chapter 10, page 245.

• • Fourier transform of a wavepacket. This Excel spreadsheet calculates the Fourier transform of a wavepacket by doing a whole sequence of numerical integrations, one for each frequency. Relates to Example 10.14.

• • FFT of a wavepacket. This Excel spreadsheet contains a Fast Fourier Transform (FFT) routine. It is used to calculate the Fourier transform of the same wavepacket as the previous spreadsheet. Relates to Example 10.15.

• Sunspots peak every 11 years. This spreadsheet is similar to the previous one but looks at the historical data on sunspot activity on the sun's surface and does an FFT to look for cycles. Relates to Problem Set 10.3, #6.

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