daviddoji/CalculusWithJuliaNotes.jl
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

update work flow

Browse Source
This commit is contained in:
jverzani
2022-07-25 20:51:08 -04:00
parent bce4ce7fa0
commit 6712bb02c4
86 changed files with 489 additions and 2139 deletions
Download Patch File Download Diff File Expand all files Collapse all files

28
quarto/integrals/arc_length.qmd
View File

@@ -1,33 +1,7 @@
# Arc length
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

70
quarto/integrals/area.qmd
View File

@@ -1,33 +1,7 @@
# Area under a curve
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:
@@ -1442,9 +1416,45 @@ The area under a curve approximated by a Riemann sum.
# url = "riemann.js"
#CalculusWithJulia.WeaveSupport.JSXGraph(:integrals, url, caption)
# This is just wrong...
url = "https://raw.githubusercontent.com/jverzani/CalculusWithJulia.jl/master/CwJ/integrals/riemann.js"
url = "./riemann.js"
CalculusWithJulia.WeaveSupport.JSXGraph(url, caption)
#CalculusWithJulia.WeaveSupport.JSXGraph(url, caption)
nothing
```
```{=html}
<div id="jsxgraph" style="width: 500px; height: 500px;"></div>
```
```{ojs}
//| echo: false
//| output: false
JXG = require("jsxgraph");
b = JXG.JSXGraph.initBoard('jsxgraph', {
boundingbox: [-0.5,0.3,1.5,-1/4], axis:true
});
g = function(x) { return x*x*x*x + 10*x*x - 60* x + 100}
f = function(x) {return 1/Math.sqrt(g(x))};
type = "right";
l = 0;
r = 1;
rsum = function() {
return JXG.Math.Numerics.riemannsum(f,n.Value(), type, l, r);
};
n = b.create('slider', [[0.1, -0.05],[0.75,-0.05], [2,1,50]],{name:'n',snapWidth:1});
graph = b.create('functiongraph', [f, l, r]);
os = b.create('riemannsum',
[f,
function(){ return n.Value();},
type, l, r
],
{fillColor:'#ffff00', fillOpacity:0.3});
b.create('text', [0.1,0.25, function(){
return 'Riemann sum='+(rsum().toFixed(4));
}]);
```
The interactive graphic shows the area of a right-Riemann sum for different partitions. The function is

28
quarto/integrals/area_between_curves.qmd
View File

@@ -1,33 +1,7 @@
# Area between two curves
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/center_of_mass.qmd
View File

@@ -1,33 +1,7 @@
# Center of Mass
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/ftc.qmd
View File

@@ -1,33 +1,7 @@
# Fundamental Theorem or Calculus
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/improper_integrals.qmd
View File

@@ -1,33 +1,7 @@
# Improper Integrals
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/integration_by_parts.qmd
View File

@@ -1,33 +1,7 @@
# Integration By Parts
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/mean_value_theorem.qmd
View File

@@ -1,33 +1,7 @@
# Mean value theorem for integrals
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/partial_fractions.qmd
View File

@@ -1,33 +1,7 @@
# Partial Fractions
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
```{julia}
using CalculusWithJulia

41
quarto/integrals/process.jl
View File

@@ -1,41 +0,0 @@
fnames = [
"area",
"ftc",
"substitution",
"integration_by_parts",
"partial_fractions", # XX add in trig integrals (cos()sin() stuff? mx or ^m... XXX
"improper_integrals", ##
"mean_value_theorem",
"area_between_curves",
"center_of_mass",
"volumes_slice",
#"volumes_shell", ## XXX add this in if needed, but not really that excited to now XXX
"arc_length",
"surface_area"
]
function process_file(nm, twice=false)
include("$nm.jl")
mmd_to_md("$nm.mmd")
markdownToHTML("$nm.md")
twice && markdownToHTML("$nm.md")
end
process_files(twice=false) = [process_file(nm, twice) for nm in fnames]
"""
## TODO integrals
* add in volumes shell???
* mean value theorem is light?
* could add surface area problems
"""

28
quarto/integrals/substitution.qmd
View File

@@ -1,33 +1,7 @@
# Substitution
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/surface_area.qmd
View File

@@ -1,33 +1,7 @@
# Surface Area
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages:

28
quarto/integrals/volumes_slice.qmd
View File

@@ -1,33 +1,7 @@
# Volumes by slicing
```{julia}
#| echo: false
import Logging
Logging.disable_logging(Logging.Info) # or e.g. Logging.Info
Logging.disable_logging(Logging.Warn)
import SymPy
function Base.show(io::IO, ::MIME"text/html", x::T) where {T <: SymPy.SymbolicObject}
println(io, "<span class=\"math-left-align\" style=\"padding-left: 4px; width:0; float:left;\"> ")
println(io, "\\[")
println(io, sympy.latex(x))
println(io, "\\]")
println(io, "</span>")
end
# hack to work around issue
import Markdown
import CalculusWithJulia
function CalculusWithJulia.WeaveSupport.ImageFile(d::Symbol, f::AbstractString, caption; kwargs...)
nm = joinpath("..", string(d), f)
u = "![$caption]($nm)"
Markdown.parse(u)
end
nothing
```
{{< include ../_common_code.qmd >}}
This section uses these add-on packages: