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mth229.github.io

https://mth229.github.io

Notes for use with using Julia in MTH 229 - Calculus Computer Laboratory at the College of Staten Island.

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mth229.github.io's Issues

Answer does not agree with computations

In the question at:

We are instructed to examine f(x) = exp(x) and fp(x) = Df(f, h=0.001)(x) and graphically estimate their largest difference on [0,3].
The code prescribes the answer "approximately zero". However, when actually plotting out the difference, say with:

f(x) = exp(x)
fp(x) = Df(f, h=0.001)(x)
plot(x -> fp(x)-f(x), 0, 3)

we get something like this figure:

newplot (1)

From the figure, the answer suggests itself as .01 not 0.

Reword latest released version

I don't know how useful it is to put a version number here (1.8) given that the latest number is always changing:

* Download and install `Julia` from [julialang.org/](https://julialang.org/downloads/). This will install like any other software for you system. You should use the *latest* released version, currently `v1.8`.

I suggest changing the wording to just "latest stable release" or similar.

Spelling error, sentence terminates weirdly

For other integration routines, the `Cubature` package is an interface to the Cubature library (http://ab-initio.mit.edu/wiki/index.php/Cubature) which provides serveral. Cubature is the term for higher dimensional integrals, quadrature refers to finding area. In that package, the function `hquadrature` is similar to `quadgk`. (The two are written by the same author.)

serveral should be several. Also, the sentence terminates before telling us what it is that Cubature provides several of.

Unreasonable answer

val = quadgk(x -> sqrt(1 + f'(x)^2), -1, 1)[1];

I refuse to believe that the reasonable answer to this question would be a cable length of 2 meters (6 feet). To span across the Verrazzano Narrows?
Should maybe the limits of integration be -a, a?

Weird sentence

Now, what height of filling will produce half the volume when? Report your answer in terms of a percentage of $b$, height of the glass.

Now, what height of filling will produce half the volume when?

This sentence is really weird. Rewrite somewhat?

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