added a program, some testing documents and math homework

schule/mathe/tests/pinnit.typ

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+// Example adapted from: @Matt https://discord.com/channels/1054443721975922748/1088371919725793360/1166508915572351067
+
+#import "@preview/pinit:0.2.2": *
+#set page(width: 700pt, height: auto, margin: 30pt)
+#set text(size: 20pt)
+#set math.equation(numbering: "(1)")
+
+#let pinit-highlight-equation-from(
+  height: 2em,
+  pos: bottom,
+  fill: rgb(0, 180, 255),
+  highlight-pins,
+  point-pin,
+  body,
+) = {
+  pinit-highlight(
+    ..highlight-pins,
+    dy: -0.9em,
+    fill: rgb(..fill.components().slice(0, -1), 40),
+  )
+  pinit-point-from(
+    fill: fill,
+    pin-dx: 0em,
+    pin-dy: if pos == bottom {
+      0.5em
+    } else {
+      -0.9em
+    },
+    body-dx: 0pt,
+    body-dy: if pos == bottom {
+      -1.7em
+    } else {
+      -1.6em
+    },
+    offset-dx: 0em,
+    offset-dy: if pos == bottom {
+      0.8em + height
+    } else {
+      -0.6em - height
+    },
+    point-pin,
+    rect(
+      inset: 0.5em,
+      stroke: (bottom: 0.12em + fill),
+      {
+        set text(fill: fill)
+        body
+      },
+    ),
+  )
+}
+
+Equation written out directly (for comparison):
+
+$ (q_T^* p_T) / p_E p_E^* >= (c + q_T^* p_T^*)(1+r^*)^(2N) $
+
+Laid out with pinit:
+
+#v(3.5em)
+
+$
+  (#pin(1)q_T^* p_T#pin(2))/(#pin(3)p_E#pin(4))#pin(5)p_E^*#pin(6) >= (c + q_T^* p_T^*)(1+r^*)^(2N)
+$
+
+#v(5em)
+
+#pinit-highlight-equation-from(
+  (1, 2, 3, 4),
+  (3, 4),
+  height: 3.5em,
+  pos: bottom,
+  fill: rgb(0, 180, 255),
+)[
+  quantity of Terran goods
+]
+
+#pinit-highlight-equation-from(
+  (5, 6),
+  (5, 6),
+  height: 2.5em,
+  pos: top,
+  fill: rgb(150, 90, 170),
+)[
+  price of Terran goods, on Trantor
+]
+
+Paragraph after the equation.

schule/mathe/tests/plotting.typ

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+#import "@preview/cetz:0.3.1"
+#import "@preview/cetz-plot:0.1.0": plot, chart
+
+#cetz.canvas({
+  // Your plot/chart code goes here
+  plot.plot(
+    size: (2, 2),
+    x-tick-step: none,
+    y-tick-step: none,
+    {
+      plot.add(((0, 0), (1, 1), (2, .5), (4, 3)))
+    },
+  )
+})
+
+#cetz.canvas({
+  let opts = (x-tick-step: none, y-tick-step: none, size: (2, 1))
+  let data = plot.add(((-1, -1), (1, 1)), mark: "o")
+  for name in (none, "school-book", "left", "scientific") {
+    plot.plot(axis-style: name, ..opts, data, name: "plot")
+  }
+})
+
+#cetz.canvas({
+  import cetz.draw: *
+  import cetz.plot: *
+
+  // Erstelle eine Plotumgebung
+  plot.plot(
+    size: (4, 4),
+    x-tick-step: none,
+    y-tick-step: none,
+    {
+      // Beispiel einer Funktionsschar (Scharparameter a):
+      for a in (-2, -1, 0, 1, 2) {
+        plot.add(domain: (-2 * calc.pi, 2 * calc.pi),
+                     t => (t, a * calc.sin(t)),   // Hier f(x) = a * sin(x)
+                     mark: "o")
+      }
+    },
+  )
+})
+