typos

quarto/basics/vectors.qmd

@@ -926,7 +926,7 @@ The latter using *splatting* to iterate over each value in `xs` and pass it to `
 
 A few reductions work with *predicate* functions---those that return `true` or `false`. Let's use `iseven` as an example, which tests if a number is even.
 
-We can check if *all* the alements of a container are even or if *any* of the elements of a container are even with `all` and `even`:
+We can check if *all* the elements of a container are even or if *any* of the elements of a container are even with `all` and `even`:
 
 ```{julia}
 xs = [1, 1, 2, 3, 5]

quarto/differentiable_vector_calculus/matrix_calculus_notes.qmd

@@ -88,7 +88,7 @@ Vectors and matrices have properties that are generalizations of the real number
 
 * Viewing a vector as a matrix is possible. The association chosen here is common and is through a *column* vector.
 
-* The *transpose* of a matrix comes by permuting the rows and columns. The transpose of a column vector is a row vector, so $v\cdot w = v^T w$, where we use a  superscript $T$ for the transpose. The transpose of a product, is the product of the transposes---reversed: $(AB)^T = B^T A^T$; the tranpose of a transpose is an identity operation: $(A^T)^T = A$; the inverse of a transpose is the tranpose of the inverse: $(A^{-1})^T = (A^T)^{-1}$.
+* The *transpose* of a matrix comes by permuting the rows and columns. The transpose of a column vector is a row vector, so $v\cdot w = v^T w$, where we use a  superscript $T$ for the transpose. The transpose of a product, is the product of the transposes---reversed: $(AB)^T = B^T A^T$; the transpose of a transpose is an identity operation: $(A^T)^T = A$; the inverse of a transpose is the transpose of the inverse: $(A^{-1})^T = (A^T)^{-1}$.
 
 * Matrices for which $A = A^T$ are called symmetric.
 
@@ -133,7 +133,7 @@ The referenced notes identify $f'(x) dx$ as $f'(x)[dx]$, the latter emphasizing
 
 We take the view that a derivative is a linear operator where $df = f(x+dx) + f(x) = f'(x)[dx]$.
 
-In writing $df = f(x + dx) - f(x) = f'(x)[dx]$ generically, some underlying facts are left implicit: $dx$ has the same shape as $x$ (so can be added)  and there is an underlying concept of distance and size that allows the above to be made rigorous. This may be an abolute value or a norm.
+In writing $df = f(x + dx) - f(x) = f'(x)[dx]$ generically, some underlying facts are left implicit: $dx$ has the same shape as $x$ (so can be added)  and there is an underlying concept of distance and size that allows the above to be made rigorous. This may be an absolute value or a norm.
 
 ##### Example: directional derivatives
 

quarto/differentiable_vector_calculus/vectors.qmd

@@ -1790,7 +1790,7 @@ plotly()
 nothing
 ```
 
-Parallelogram formed by two vectors $\vec{v}$ and $\vec{w}$. What is desription of red diagonal?
+Parallelogram formed by two vectors $\vec{v}$ and $\vec{w}$. What is a description of red diagonal?
 :::
 
 One diagonal is given by $\vec{v} + \vec{w}$. What is the other (as in the figure)?

quarto/integrals/area_between_curves.qmd

@@ -118,7 +118,7 @@ p = let
 	# axis
 	plot!([(A,0),(B,0)]; axis_style...)
 
-	# hightlight
+	# highlight
 	x0, x1 = xp[marked], xp[marked+1]
 	_style = (;line=(:gray, 1, :dash))
 	plot!([(a,0), (a, f(a))]; _style...)

quarto/integrals/ftc.qmd

@@ -1247,7 +1247,7 @@ Why is $F'(x) = \text{erf}'(x)$?
 
 ```{julia}
 #| echo: false
-choices = ["The integrand is an *even* function so the itegral from ``0`` to ``x`` is the same as the integral from ``-x`` to ``0``",
+choices = ["The integrand is an *even* function so the integral from ``0`` to ``x`` is the same as the integral from ``-x`` to ``0``",
            "This isn't true"]
 radioq(choices, 1; keep_order=true)
 ```

quarto/integrals/volumes_slice.qmd

@@ -493,7 +493,7 @@ plt = let
     gr()
 	# Follow lead of # https://github.com/SigurdAngenent/WisconsinCalculus/blob/master/figures/221/09surf_of_rotation2.py
 	# plot surface of revolution around x axis between [0, 3]
-	# best if r(t) descreases
+	# best if r(t) decreases
 
 	rad(x) = 2/(1 + exp(x))
     trange = (0, 3)
@@ -585,7 +585,7 @@ plotly()
 nothing
 ```
 
-Modification of earlier figure to show washer method. The interior volumn would be given by $\int_a^b \pi r(x)^2 dx$, the entire volume by $\int_a^b \pi R(x)^2 dx$. The difference then is the volume computed by the washer method.
+Modification of earlier figure to show washer method. The interior volume would be given by $\int_a^b \pi r(x)^2 dx$, the entire volume by $\int_a^b \pi R(x)^2 dx$. The difference then is the volume computed by the washer method.
 
 :::
 
@@ -883,7 +883,7 @@ Consider a sphere with an interior cylinder bored out of it.  (The [Napkin](http
 plt = let
 	# Follow lead of # https://github.com/SigurdAngenent/WisconsinCalculus/blob/master/figures/221/09surf_of_rotation2.py
 	# plot surface of revolution around x axis between [0, 3]
-	# best if r(t) descreases
+	# best if r(t) decreases
 
 	rad(t) = (t = clamp(t, -1, 1); sqrt(1 - t^2))
 	rad2(t) = 1/2