Notes for use with using Julia
in MTH 229 - Calculus Computer Laboratory at the College of Staten Island.
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Notes for use with using Julia
in MTH 229 - Calculus Computer Laboratory at the College of Staten Island.
In the question at:
mth229.github.io/quarto/derivatives.qmd
Line 383 in 4e6a6a8
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:
From the figure, the answer suggests itself as .01 not 0.
I don't know how useful it is to put a version number here (1.8) given that the latest number is always changing:
mth229.github.io/quarto/index.qmd
Line 116 in 1ab48d8
I suggest changing the wording to just "latest stable release" or similar.
mth229.github.io/quarto/integration.qmd
Line 525 in 334ddd2
serveral
should be several
. Also, the sentence terminates before telling us what it is that Cubature
provides several of.
There must be 12 or so figures that should be redone in Julia. (Newton, extrema, integration, others?)
mth229.github.io/quarto/integration.qmd
Line 1048 in 9693893
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
?
The question at:
mth229.github.io/quarto/limits.qmd
Line 1256 in 4e6a6a8
And the question at:
mth229.github.io/quarto/limits.qmd
Line 1273 in 4e6a6a8
are identical.
Additionally,
@syms x
limit((x^x-1)/x, x => 0, dir="+")
yields
−∞
which is not an option among the offered answers.
mth229.github.io/quarto/zeros.qmd
Line 327 in 86d0d98
This call to fzero
returns the root x=0
, while the text is asking for the other root. Initiating at b/2
doesn't get us where we need to go.
Initiating at 260
does give the right answer.
mth229.github.io/quarto/functions.qmd
Line 1246 in 78b9112
The text talks about not being able to redefine one function type as another, but here we are just redefining an anonymous function to another anonymous function. Should this be instead
g1 = x -> sin(2x^2)
mth229.github.io/quarto/integration.qmd
Line 833 in 334ddd2
Now, what height of filling will produce half the volume when?
This sentence is really weird. Rewrite somewhat?
A declarative, efficient, and flexible JavaScript library for building user interfaces.
🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.
TypeScript is a superset of JavaScript that compiles to clean JavaScript output.
An Open Source Machine Learning Framework for Everyone
The Web framework for perfectionists with deadlines.
A PHP framework for web artisans
Bring data to life with SVG, Canvas and HTML. 📊📈🎉
JavaScript (JS) is a lightweight interpreted programming language with first-class functions.
Some thing interesting about web. New door for the world.
A server is a program made to process requests and deliver data to clients.
Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.
Some thing interesting about visualization, use data art
Some thing interesting about game, make everyone happy.
We are working to build community through open source technology. NB: members must have two-factor auth.
Open source projects and samples from Microsoft.
Google ❤️ Open Source for everyone.
Alibaba Open Source for everyone
Data-Driven Documents codes.
China tencent open source team.