daviddoji/CalculusWithJuliaNotes.jl
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jverzani 2022-07-20 13:23:19 -04:00
parent a2b62ded04
commit 93c993206a
5 changed files with 12 additions and 8 deletions
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4
CwJ/TODO/partialcircle.jl Normal file
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@ -0,0 +1,4 @@
plot([0,1,1,0], [0,0,1,0], aspect_ratio=:equal, legend=false)
plot!(Plots.partialcircle(0, pi/4,100, 0.25), arrow=true)
Δ = 0.05
plot!([1-Δ, 1-Δ, 1], [0,Δ,Δ])

2
CwJ/alternatives/makie_plotting.__jmd__
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@ -1,6 +1,6 @@
# Calculus plots with Makie
XXX https://www.juliapackages.com/p/implicit3dplotting
## XXX This needs a total rewrite for the new Makie
```julia; echo=false; results="hidden"

4
CwJ/alternatives/plotly_plotting.jmd
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@ -398,7 +398,7 @@ Plot(data, layout)
```
The following example is more complicated use of the elements previously described. It comes mimics an image from [Wikipedia](https://en.wikipedia.org/wiki/List_of_trigonometric_identities) for trigonometric identities. The use of ``\LaTeX`` does not seem to be supported through the `JavaScript` interface; unicode symbols are used instead. The `xanchor` and `yanchor` keys are used to position annotations away from the default. The `textangle` key is used to rotate text, as desired.
The following example is more complicated use of the elements previously described. It mimics an image from [Wikipedia](https://en.wikipedia.org/wiki/List_of_trigonometric_identities) for trigonometric identities. The use of ``\LaTeX`` does not seem to be supported through the `JavaScript` interface; unicode symbols are used instead. The `xanchor` and `yanchor` keys are used to position annotations away from the default. The `textangle` key is used to rotate text, as desired.
```julia, hold=true
alpha = pi/6
@ -533,7 +533,7 @@ The main difference is the chart type, as this is a ``3``-dimensional plot, "sca
### Quiver plots
There is no `quiver` plot for `plotly` using JavaScript. In ``2``-dimensions a text-less annotation could be employed. In ``3``-dimensions, the following (from [stackoverflow.com](https://stackoverflow.com/questions/43164909/plotlypython-how-to-plot-arrows-in-3d) is a possible workaround where a line segment is drawn and capped with a small cone. Somewhat opaquely, we use `NamedTuple` for an iterator to create the keys for the data below:
There is no `quiver` plot for `plotly` using JavaScript. In ``2``-dimensions a text-less annotation could be employed. In ``3``-dimensions, the following (from [stackoverflow.com](https://stackoverflow.com/questions/43164909/plotlypython-how-to-plot-arrows-in-3d)) is a possible workaround where a line segment is drawn and capped with a small cone. Somewhat opaquely, we use `NamedTuple` for an iterator to create the keys for the data below:
```julia; hold=true

4
CwJ/integrals/arc_length.jmd
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@ -252,7 +252,7 @@ plot(chain, -1, 1)
How long is the chain? Looking at the graph we can guess an answer is
between $2$ and $2.5$, say, but it isn't much work to get
an approximate numeric answer. Recall, the accompanying `CalculusWithJulia` package deines `f'` to find the derivative using the `ForwardDiff` package.
an approximate numeric answer. Recall, the accompanying `CalculusWithJulia` package defines `f'` to find the derivative using the `ForwardDiff` package.
```julia;
@ -310,7 +310,7 @@ compute the length of Johns' catenary in inches:
```julia; hold=true
a = 13
b = 118 + a
f(x) = cat(x, a=13, b=118+13)
f(x) = cat(x; a=13, b=118+13)
quadgk(x -> sqrt(1 + f'(x)^2), -78/2, 78/2)[1]
```

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CwJ/precalc/calculator.jmd
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@ -5,7 +5,7 @@
using CalculusWithJulia
using CalculusWithJulia.WeaveSupport
const frontmatter = (
frontmatter = (
title = "From calculator to computer",
description = "Calculus with Julia: Replacing the calculator with a computer",
tags = ["CalculusWithJulia", "precalc", "replacing the calculator with a computer"],
@ -940,7 +940,7 @@ numericq(val)
What is the value of
```math
\frac{sin(pi/3) - 1/2}{pi/3 - pi/6}
\frac{\sin(\pi/3) - 1/2}{\pi/3 - \pi/6}
```
```julia; hold=true; echo=false;
@ -1031,7 +1031,7 @@ radioq(choices, ans)
A twitter post from popular mechanics generated some attention.
![](https://raw.githubusercontent.com/jverzani/CalculusWithJulia.jl/master/CwJ/precalc/figures/order_operations_pop_mech.png)
![](https://raw.githubusercontent.com/jverzani/CalculusWithJuliaNotes.jl/master/CwJ/precalc/figures/order_operations_pop_mech.png)
What is the answer?