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43 changes: 23 additions & 20 deletions undergradmath.typ
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Original file line number Diff line number Diff line change
Expand Up @@ -84,8 +84,11 @@
it.body + h(0.67em),
)

// Black raw code
#show raw.where(block: false): it => { it.text }
#set raw(lang: "typm")
#let monospace = text.with(
font: "DejaVu Sans Mono",
size: 0.8em
)

// Two-column layout
#show: rest => columns(2, rest)
Expand Down Expand Up @@ -130,14 +133,14 @@ The original version is available at #link("https://gitlab.com/jim.hefferon/unde

= Rule One
Any mathematics at all, even a single character, gets a mathematical setting.
Thus, for "the value of #eqn(alt: "x", $x$) is #eqn(alt: "7", $7$)" enter `the value of $x$ is $7$`.
Thus, for "the value of #eqn(alt: "x", $x$) is #eqn(alt: "7", $7$)" enter ```typ the value of $x$ is $7$```.

= Template
Your document should contain at least this.

#grid(
"",
```
```typ
-- document body here --
```,
)
Expand All @@ -163,7 +166,7 @@ Your document should contain at least this.
)

= Calligraphic letters
Use as in `$cal(A)$`.
Use as in ```typ $cal(A)$```.

#eqn(
alt: "calligraphic uppercase letters A through Z",
Expand All @@ -173,7 +176,7 @@ Use as in `$cal(A)$`.

// #show math.equation: set text(stylistic-set: 1)
// Get script letters, such as $cal(P)$ from `$cal(P)$`, by changing the `stylistic-set` parameter of `text()` to the corresponding set.
Get script letters by using `scr`, such as #eqn(alt: "script capital P", $scr(P)$) from `$scr(P)$`.
Get script letters by using `scr`, such as #eqn(alt: "script capital P", $scr(P)$) from ```typ $scr(P)$```.
See #link("https://typst.app/docs/reference/math/variants/#functions-scr")[`scr`] for more information.

= Greek
Expand Down Expand Up @@ -349,10 +352,10 @@ Get the set complement #eqn(alt: "complement of A", $A^(sans(c))$) with `A^(sans
// The Math fonts provide the character \varnothing (⌀, U+2300), as an alternative to \emptyset (a slashed zero), through Character Variant cv01.
// The fontsetup package provides the option ‘varnothing’ to easily switch to the alternative character.

/ Remark: Using `diameter` for `\varnothing` may cause some confusion.
However, in #LaTeX, the `\varnothing` provided through Character Variant `cv01` is also `diameter`
/ Remark: Using `diameter` for ```tex \varnothing``` may cause some confusion.
However, in #LaTeX, the ```tex \varnothing``` provided through Character Variant #monospace[cv01] is also `diameter`
(see #link("http://mirrors.ctan.org/fonts/newcomputermodern/doc/newcm-doc.pdf")[newcm #{ sym.section }14.5]).
So a simple solution with the default math font _New Computer Modern Math_ is to define a new symbol `varnothing` with `#let varnothing = math.diameter`.
So a simple solution with the default math font _New Computer Modern Math_ is to define a new symbol `varnothing` with ```typ #let varnothing = math.diameter```.
Other solutions can be found in #link("https://sitandr.github.io/typst-examples-book/book/basics/math/symbols.html#empty-set")[Typst Examples Book].

= Decorations
Expand Down Expand Up @@ -497,9 +500,9 @@ Just type them!

#let cosec = math.op("cosec")

If an operator you wish to use does not exist, you can create one using `math.op`. For example, to create the #eqn(alt: "cosecant", $cosec$) operator:
If an operator you wish to use does not exist, you can create one using ```typc math.op```. For example, to create the #eqn(alt: "cosecant", $cosec$) operator:

```
```typ
#let cosec = math.op("cosec")
$ cosec x = 1/(sin x) $
```
Expand Down Expand Up @@ -635,7 +638,7 @@ $ cosec x = 1/(sin x) $
Use `a divides b` for the divides relation, #eqn(alt: "a divides b", $a divides b$), and `a divides.not b` for the negation, #eqn(alt: "a does not divide b", $a divides.not b$).
Use `|` to get set builder notation #eqn(alt: "the set of all a in S such that a is odd", ${a in S | a "is odd"}$) with `{a in S | a "is odd"}`.

= Arrows
#block(sticky: true)[= Arrows]
#align(
center,
table(
Expand Down Expand Up @@ -847,15 +850,15 @@ Get a matrix with the `mat` function. You can pass an array to it.
$ mat(a, b; c, d) $,
),
[
```
```typ
$ mat(a, b; c, d) $
```
],
),
)

In Typst, #link("https://typst.app/docs/reference/foundations/array")[array] is a sequence of values,
while in #LaTeX, array is a matrix without fences, which is `$mat(delim: #none, ..)$` in Typst.
while in #LaTeX, array is a matrix without fences, which is ```typ $mat(delim: #none, ..)$``` in Typst.

For the determinant use `|A|`, text operator #eqn(alt: "determinant", $det$) `det` or `mat(delim: "|", ..)`.

Expand Down Expand Up @@ -892,10 +895,10 @@ Improve #eqn(alt: "square root of two times x", $sqrt(2) x$) to #eqn(alt: "squar
Slightly wider are `med` and `thick` (the three are in ratio #eqn(alt: "3 to 4 to 5", $3 : 4 : 5$)).
Bigger space are: `quad` for #eqn(alt: "A right arrow, followed by a quad space, then a left arrow. The quad space is about the width of the capital letter 'M'.", box[$-> quad <-$]) and `wide` for #eqn(alt: "A right arrow, followed by a wide space, then a left arrow. The wide space is about twice the width of the capital letter 'M'.", $-> wide <-$), which are useful between parts of a display.
Get arbitrary space with the `h` function.
For example, use `#h(-0.1667em)` for `\!` in #LaTeX.
For example, use `#h(-0.1667em)` for ```tex \!``` in #LaTeX.

= Displayed equations
Display equations in a block level using `$ ... $` with at least one space separating the math content and the `$`.
Display equations in a block level using ```typ $ ... $``` with at least one space separating the math content and the #monospace[\$].

#align(
center,
Expand All @@ -908,7 +911,7 @@ Display equations in a block level using `$ ... $` with at least one space separ
$ S = k dot lg W $,
),
[
```
```typ
$ S = k dot lg W $
```
],
Expand All @@ -931,7 +934,7 @@ You can break into multiple lines.
$,
),
[
```
```typ
$ sin(x) = x - x^3 / 3! \
+ x^5 / 5! - dots.h.c $
```
Expand All @@ -954,15 +957,15 @@ Align equations using `&`
nabla dot bold(B) & = 0
$,
),
```
```typ
$ nabla dot bold(D) &= rho \
nabla dot bold(B) &= 0 $
```,
),
)

(the left or right side of an alignment can be empty).
Get a numbered version by `#set math.equation(numbering: ..)`.
Get a numbered version by ```typ #set math.equation(numbering: ..)```.

= Calculus examples
The last three here are display style.
Expand Down